Take-Home Exercise 2: Applied Spatial Interaction Models

A Case Study of Singapore Public Bus Commuter Flows during Weekday Morning Peak Hours

Author

Goh Si Hui

Published

December 8, 2023

Modified

December 17, 2023

1 Overview

1.1 Introduction

What are the driving forces behind urban dwellers to weak up early in morning to commute from their home locations to their work places? What are the impact of removing a public bus service on the commuters reside along the corridor of the bus route? These are some questions faced by transport operators and urban managers.

To answer these many questions related to urban mobility, traditionally commuters survey would be used. However, conducting commuters survey is costly, time-consuming and laborious. In addition, survey data tend to take a long time to clean and analyse, which can lead to the collected information being out-of-date when the survey report was ready.

With the recent trend of massive deployment of pervasive computing technologies such as GPS on the vehicles and SMART cards used by public transport commuters, we will utilise and transform geospatially-referenced data into insightful information, hence generating returns on the investment made to collect and manage this data.

1.2 Objectives

In this take-home exercise, we will be using publicly available data and geospatial data science and analysis to answer questions related to urban mobility and how it can be used to support decision-making. In particular, we will be building spatial interaction models to determine factors affecting urban mobility patterns of public bus transit during weekday morning peak hour period (from 6am to 9am).

1.3 Packages Used

For this exercise, we will be using the following packages:

  • sf : to import, integrate, process and transform geospatial data

  • sp: to provide classes and methods for spatial data types

  • DT:to display R data objects (matrices or dataframes) as tables on HTML pages

  • stplanr: to visualise flow lines

  • performance:to compute measures for assessing model quality

  • reshape2:to restructure and aggregate data

  • tidyverse: to import, integrate, wrangle and visualise data

  • tmap: to create thematic maps

  • ggpubr: to create and customise ‘ggplot2’- based publication ready plots

  • spflow: to estimate spatial econometric interaction models

  • Matrix: to display and manipulate matrices

  • spdep: to calculate spatial weights

Show the code 
pacman::p_load(tmap, sf, sp, DT, stplanr, performance, reshape2, ggpubr, tidyverse, spflow, Matrix, spdep)

2 Data Preparation

For the purpose of this take-home exercise, we will be using the following datasets downloaded from LTA Datamall, Data.gov.sg and datasets provided by the course instructor.

  • Geospatial Data

    • Bus Stop Location: this dataset from LTA Datamall provides the geographical locations, bus stop numbers, location description of the bus stops in Singapore.

    • Train Station Exit Point: this dataset from LTA Datamall provides the MRT stations name, Exit name and their geographical location.

    • Master Plan 2019 Subzone Boundary: this dataset is downloaded from data.gov.sg. It contains information on the planning subzone codes, planning subzone names which could be useful for us to join certain datasets together using subzone codes and providing us with names of the geographical location.

    • Business: this dataset from the instructor provides the geographical locations of businesses in Singapore

    • FinServ: this dataset from the instructor provides the geographical locations of Financial Services in Singapore.

  • Aspatial Data

    • Passenger Volume by Origin Destination Bus Stops: this dataset from LTA Datamall provides the number of people travelling from one bus stop to another bus stop. For the purpose of this exercise, we are using the Oct 2023 dataset.

    • hdb: this dataset from the instructor contains the location of existing HDB blocks, highest floor, year of completion, type of building and number of HDB flats, total dwelling units, numer of flats sold by flat type

    • schools: contains the geographical locations, school names and other details of the schools in Singapore. This dataset was previously derived from In-class Exercise 4.

Justifications for Choosing Datasets

Out of the datasets provided by the instructor, we have selected datasets that can most appropriately mirror the reasons why people travel during weekday morning peak hours. These datasets would form the explanatory variables for the observed weekday morning peak hour commuter flow.

We proposed that weekday morning peak hour commuters would travel from their residential areas to areas where they are working or studying. In addition, as we are only looking at bus commuters, there should be a sizable group of commuters who uses feeder bus services to reach the nearest MRT stations for them to continue their journey to work or school.

As such, we chose to make use of the Train Station Exit Points data set from the LTA Datamall because bus stops are usually located near Train Station Exit Points to facilitate commuters to transfer from buses to Mass Rapid Transport (MRT) trains and vice versa. We also chose to make use of the Business and Financial Service datasets provided by the instructor for the purpose of this exercise. Lastly, to gauge the population size staying in a particular residental area, we also used the hdb dataset provided by the course instructor.

2.1 Importing Data into R

odbus <- read_csv("data/aspatial/origin_destination_bus_202310.csv")
hdb <- read_csv("data/aspatial/hdb.csv")
schools <- read_csv("data/aspatial/schools1.csv")
busstop <- st_read(dsn = "data/geospatial",
                   layer = "BusStop")
Reading layer `BusStop' from data source 
  `C:\sihuihui\ISSS624\Take-home_Ex\Take-home_Ex2\data\geospatial' 
  using driver `ESRI Shapefile'
Simple feature collection with 5161 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 3970.122 ymin: 26482.1 xmax: 48284.56 ymax: 52983.82
Projected CRS: SVY21
mpsz <- st_read(dsn = "data/geospatial",
                   layer = "MPSZ-2019")
Reading layer `MPSZ-2019' from data source 
  `C:\sihuihui\ISSS624\Take-home_Ex\Take-home_Ex2\data\geospatial' 
  using driver `ESRI Shapefile'
Simple feature collection with 332 features and 6 fields
Geometry type: MULTIPOLYGON
Dimension:     XY
Bounding box:  xmin: 103.6057 ymin: 1.158699 xmax: 104.0885 ymax: 1.470775
Geodetic CRS:  WGS 84
business <- st_read(dsn = "data/geospatial",
                   layer = "Business")
Reading layer `Business' from data source 
  `C:\sihuihui\ISSS624\Take-home_Ex\Take-home_Ex2\data\geospatial' 
  using driver `ESRI Shapefile'
Simple feature collection with 6550 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 3669.148 ymin: 25408.41 xmax: 47034.83 ymax: 50148.54
Projected CRS: SVY21 / Singapore TM
finserv <- st_read(dsn = "data/geospatial",
                   layer = "FinServ")
Reading layer `FinServ' from data source 
  `C:\sihuihui\ISSS624\Take-home_Ex\Take-home_Ex2\data\geospatial' 
  using driver `ESRI Shapefile'
Simple feature collection with 3320 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 4881.527 ymin: 25171.88 xmax: 46526.16 ymax: 49338.02
Projected CRS: SVY21 / Singapore TM
mrtexits <- st_read(dsn = "data/geospatial",
                   layer = "Train_Station_Exit_Layer")
Reading layer `Train_Station_Exit_Layer' from data source 
  `C:\sihuihui\ISSS624\Take-home_Ex\Take-home_Ex2\data\geospatial' 
  using driver `ESRI Shapefile'
Simple feature collection with 565 features and 2 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 6134.086 ymin: 27499.7 xmax: 45356.36 ymax: 47865.92
Projected CRS: SVY21

2.2 Data Wrangling of Aspatial Data

2.2.1 Passenger Volumes from Origin Busstops

Show the code 
glimpse(odbus)
Rows: 5,694,297
Columns: 7
$ YEAR_MONTH          <chr> "2023-10", "2023-10", "2023-10", "2023-10", "2023-…
$ DAY_TYPE            <chr> "WEEKENDS/HOLIDAY", "WEEKDAY", "WEEKENDS/HOLIDAY",…
$ TIME_PER_HOUR       <dbl> 16, 16, 14, 14, 17, 17, 17, 7, 14, 14, 10, 20, 20,…
$ PT_TYPE             <chr> "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "…
$ ORIGIN_PT_CODE      <chr> "04168", "04168", "80119", "80119", "44069", "2028…
$ DESTINATION_PT_CODE <chr> "10051", "10051", "90079", "90079", "17229", "2014…
$ TOTAL_TRIPS         <dbl> 3, 5, 3, 5, 4, 1, 24, 2, 1, 7, 3, 2, 5, 1, 1, 1, 1…

From the above output, it shows that the values of the ORIGIN_PT_CODE and DESTINATION_PT_CODE are in character data type. Since these two columns contain the origin bus stop codes and destination bus stop codes and they actually take on a limited number of different values (unlike strings), we convert ORIGIN_PT_CODE and DESTINATION_PT_CODE into factor data type using as.factor().

Show the code 
odbus$ORIGIN_PT_CODE <- as.factor(odbus$ORIGIN_PT_CODE)
odbus$DESTINATION_PT_CODE <- as.factor(odbus$DESTINATION_PT_CODE)

Let us check the odbus dataframe using glimpse() again.

Show the code 
glimpse(odbus)
Rows: 5,694,297
Columns: 7
$ YEAR_MONTH          <chr> "2023-10", "2023-10", "2023-10", "2023-10", "2023-…
$ DAY_TYPE            <chr> "WEEKENDS/HOLIDAY", "WEEKDAY", "WEEKENDS/HOLIDAY",…
$ TIME_PER_HOUR       <dbl> 16, 16, 14, 14, 17, 17, 17, 7, 14, 14, 10, 20, 20,…
$ PT_TYPE             <chr> "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "…
$ ORIGIN_PT_CODE      <fct> 04168, 04168, 80119, 80119, 44069, 20281, 20281, 1…
$ DESTINATION_PT_CODE <fct> 10051, 10051, 90079, 90079, 17229, 20141, 20141, 1…
$ TOTAL_TRIPS         <dbl> 3, 5, 3, 5, 4, 1, 24, 2, 1, 7, 3, 2, 5, 1, 1, 1, 1…

ORIGIN_PT_CODE and DESTINATION_PT_CODE have been converted to factor data type.

Next, we will do a check on the data. Using unique() function, we can find the unique values in a column. Let us first check the YEAR_MONTH, DAY_TYPE, TIME_PER_HOUR and PT_TYPE to ensure the data contains bus trips made in October 2023, and there are no other unexpected values for DAY_TYPE and TIME_PER_HOUR.

unique(odbus$YEAR_MONTH)
[1] "2023-10"
unique(odbus$DAY_TYPE)
[1] "WEEKENDS/HOLIDAY" "WEEKDAY"         
unique(odbus$TIME_PER_HOUR)
 [1] 16 14 17  7 10 20 19  5 11  8 21 18  9  6 12 15 23 13 22  0  1  4  2
#To count the number hours listed
length(unique(odbus$TIME_PER_HOUR))
[1] 23
unique(odbus$PT_TYPE)
[1] "BUS"

From the above output, we know that the data only contains bus trips made in October 2023. The DAY_TYPES have 2 categories: WEEKDAYS and WEEKENDS/HOLIDAY. TIME_PER_HOUR have 23 categories because there is no value of “3” in TIME_PER_HOUR variable.

2.2.2 Extract the time period we are interested in - Weekday Morning Peak Hour

For the purpose of this exercise, we are interested in the bus commuter flows on weekdays morning peak hour (i.e. 6am to 9am) so we will use the following code chunk to extract the time period we are interested in and save the output in rds format for future use.

Show the code 
odbus_WDMP <- odbus %>%
  filter(DAY_TYPE == "WEEKDAY") %>%
  filter(TIME_PER_HOUR >= 6 &
           TIME_PER_HOUR <= 9) %>%
  group_by(ORIGIN_PT_CODE, 
           DESTINATION_PT_CODE) %>%
  summarise(TRIPS = sum(TOTAL_TRIPS))

Let us check the extracted passenger volume from origin busstops on weekday morning peak hour.

summary(odbus_WDMP)
 ORIGIN_PT_CODE   DESTINATION_PT_CODE     TRIPS        
 22009  :   582   22009  :   584      Min.   :    1.0  
 84009  :   562   52009  :   554      1st Qu.:    3.0  
 75009  :   554   75009  :   535      Median :   15.0  
 52009  :   548   84009  :   533      Mean   :  107.2  
 59009  :   466   03129  :   474      3rd Qu.:   57.0  
 46009  :   458   59009  :   466      Max.   :97600.0  
 (Other):239038   (Other):239062

We will use the following code chunk to save this dataframe in rds format for future use.

write_rds(odbus_WDMP, "data/rds/odbus_WDMP.rds")
odbus_WDMP <- read_rds("data/rds/odbus_WDMP.rds")

2.2.3 HDB Data

We will now take a look at the HDB data.

Show the code 
glimpse(hdb)
Rows: 12,442
Columns: 37
$ ...1                  <dbl> 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14…
$ blk_no                <chr> "1", "1", "1", "1", "1", "1", "1", "1", "1", "1"…
$ street                <chr> "BEACH RD", "BEDOK STH AVE 1", "CANTONMENT RD", …
$ max_floor_lvl         <dbl> 16, 14, 2, 15, 4, 25, 12, 14, 12, 2, 15, 15, 13,…
$ year_completed        <dbl> 1970, 1975, 2010, 1982, 1975, 1982, 1975, 1977, …
$ residential           <chr> "Y", "Y", "N", "Y", "Y", "Y", "Y", "Y", "Y", "N"…
$ commercial            <chr> "Y", "N", "Y", "N", "Y", "N", "N", "N", "Y", "Y"…
$ market_hawker         <chr> "N", "N", "N", "N", "N", "N", "N", "N", "N", "N"…
$ miscellaneous         <chr> "N", "Y", "N", "N", "N", "N", "Y", "Y", "N", "N"…
$ multistorey_carpark   <chr> "N", "N", "N", "N", "N", "N", "N", "N", "N", "N"…
$ precinct_pavilion     <chr> "N", "N", "N", "N", "N", "N", "N", "N", "N", "N"…
$ bldg_contract_town    <chr> "KWN", "BD", "CT", "BD", "PRC", "BM", "QT", "GL"…
$ total_dwelling_units  <dbl> 142, 206, 0, 102, 55, 96, 125, 247, 95, 0, 220, …
$ `1room_sold`          <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ `2room_sold`          <dbl> 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ `3room_sold`          <dbl> 138, 204, 0, 0, 54, 0, 118, 0, 62, 0, 216, 214, …
$ `4room_sold`          <dbl> 1, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ `5room_sold`          <dbl> 2, 2, 0, 92, 1, 96, 7, 0, 33, 0, 4, 5, 0, 4, 0, …
$ exec_sold             <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ multigen_sold         <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ studio_apartment_sold <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ `1room_rental`        <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 319, 0, 0, 0…
$ `2room_rental`        <dbl> 0, 0, 0, 0, 0, 0, 0, 247, 0, 0, 0, 0, 0, 0, 56, …
$ `3room_rental`        <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 1,…
$ other_room_rental     <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0,…
$ lat                   <dbl> 1.295097, 1.320852, 1.275488, 1.327969, 1.388610…
$ lng                   <dbl> 103.8541, 103.9337, 103.8414, 103.9227, 103.9881…
$ building              <chr> "RAFFLES HOTEL", "NIL", "PINNACLE @ DUXTON", "PI…
$ addr                  <chr> "1 BEACH ROAD RAFFLES HOTEL SINGAPORE 189673", "…
$ postal                <chr> "189673", "460001", "080001", "461001", "500001"…
$ SUBZONE_NO            <dbl> 2, 6, 3, 3, 1, 9, 10, 5, 3, 5, 1, 5, 2, 2, 1, 7,…
$ SUBZONE_N             <chr> "CITY HALL", "BEDOK SOUTH", "CHINATOWN", "KEMBAN…
$ SUBZONE_C             <chr> "DTSZ02", "BDSZ06", "OTSZ03", "BDSZ03", "CHSZ01"…
$ PLN_AREA_N            <chr> "DOWNTOWN CORE", "BEDOK", "OUTRAM", "BEDOK", "CH…
$ PLN_AREA_C            <chr> "DT", "BD", "OT", "BD", "CH", "BM", "QT", "GL", …
$ REGION_N              <chr> "CENTRAL REGION", "EAST REGION", "CENTRAL REGION…
$ REGION_C              <chr> "CR", "ER", "CR", "ER", "ER", "CR", "CR", "CR", …

From the above output, we know that there are some HDB buildings considered as residential, commercial, market, pavillion and even carparks. We will filter the residential HDB buildings out and save it as a different dataframe because the hdb residential dwelling could indicate the population residing in that area, which is could be a propulsive factor for people to travel in morning peak hour (e.g. people would want to move away from residential areas and move towards areas with schools or businesses in the morning for school or work).

In the following code chunk, we will filter out the residential HDB Buildings using the column residential and building. Any rows with residential == “Y” would be filtered out. After filtering out, we realised that there are two residences with the building name “Raffles Hotel”. We did a check and found that the geographical location belonged to a hotel, rather than a residential location. As such, we will remove these 2 rows.

hdb_res <- hdb %>%
  filter(residential == "Y", !grepl('HOTEL', building)) %>%
  select(postal, lat, lng, SUBZONE_N, residential, total_dwelling_units)
glimpse(hdb_res)
Rows: 10,179
Columns: 6
$ postal               <chr> "460001", "461001", "500001", "160001", "130001",…
$ lat                  <dbl> 1.320852, 1.327969, 1.388610, 1.292075, 1.302530,…
$ lng                  <dbl> 103.9337, 103.9227, 103.9881, 103.8286, 103.7833,…
$ SUBZONE_N            <chr> "BEDOK SOUTH", "KEMBANGAN", "CHANGI POINT", "BUKI…
$ residential          <chr> "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y",…
$ total_dwelling_units <dbl> 206, 102, 55, 96, 125, 247, 95, 220, 219, 319, 20…

We check if there are any duplicates in the hdb_res dataset using the following code chunk.

Show the code 
duplicate <- hdb_res %>%
  group_by_all() %>% 
  filter(n()>1) %>%
  ungroup()

duplicate
# A tibble: 0 × 6
# ℹ 6 variables: postal <chr>, lat <dbl>, lng <dbl>, SUBZONE_N <chr>,
#   residential <chr>, total_dwelling_units <dbl>

From the above output, we know that there is no duplicate rows in the hdb_res dataframe.

Let us check further to see if there are any buildings with same postal code but occupy 2 different longitude and latitude.

Show the code 
same_postal <- hdb_res %>%
  group_by(postal) %>% 
  filter(n()>1) %>%
  ungroup()

same_postal
# A tibble: 73 × 6
   postal   lat   lng SUBZONE_N      residential total_dwelling_units
   <chr>  <dbl> <dbl> <chr>          <chr>                      <dbl>
 1 NIL     1.35  104. BISHAN EAST    Y                            115
 2 NIL     1.30  104. TANJONG RHU    Y                            132
 3 NIL     1.34  104. SIMEI          Y                            110
 4 NIL     1.37  104. KEBUN BAHRU    Y                            153
 5 NIL     1.39  104. RIVERVALE      Y                             80
 6 NIL     1.34  104. TOA PAYOH WEST Y                            200
 7 NIL     1.28  104. TIONG BAHRU    Y                            113
 8 NIL     1.34  104. ANAK BUKIT     Y                            138
 9 NIL     1.34  104. SIMEI          Y                            120
10 NIL     1.30  104. BUGIS          Y                             76
# ℹ 63 more rows

From the output, there are 73 rows without postal codes but they are different geographical locations. A quick check using the longtitude and latitude of a few rows showed us that these are actual HUB residences but they do not have a postal code.I choose to retain these geographical locations despite them not having postal code because these buildings have dwelling units and the issue of missing postal code would be resolved in the subsequent steps because we will be using the latitude and longitude to convert it into a simple feature data frame and they will give us the point geometry point coordinates.

2.2.4 Schools Information

We will now take a look at the imported schools data.

Show the code 
glimpse(schools)
Rows: 350
Columns: 41
$ ...1               <dbl> 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, …
$ postal_code        <chr> "088256", "099138", "099757", "099840", "109100", "…
$ school_name        <chr> "CANTONMENT PRIMARY SCHOOL", "CHIJ ST. THERESA'S CO…
$ url_address        <chr> "http://www.cantonmentpri.moe.edu.sg", "http://www.…
$ address            <chr> "1    Cantonment Close", "160  LOWER DELTA ROAD", "…
$ telephone_no       <chr> "65119555", "64775777", "62730096", "62733937", "62…
$ telephone_no_2     <chr> "na", "na", "na", "na", "na", "na", "na", "na", "na…
$ fax_no             <chr> "65119556", "64775700", "62731710", "62763083", "62…
$ fax_no_2           <chr> "na", "na", "na", "na", "na", "na", "na", "na", "na…
$ email_address      <chr> "cantonment_ps@moe.edu.sg", "CHIJSTCS@MOE.EDU.SG", …
$ mrt_desc           <chr> "Tanjong Pagar Outram Park", "HARBOURFRONT MRT, TIO…
$ bus_desc           <chr> "75, 167, 196", "65, 121, 123, 123M, 124, 131, 131M…
$ principal_name     <chr> "MRS MANOKARA SUGUNAVATHI", "MDM TAN MEI MEI JENNY"…
$ first_vp_name      <chr> "MRS AUDREA CHIN", "MDM ONG LEE LEE", "MS NG CHIOU …
$ second_vp_name     <chr> "MISS CHENG SHIN MIIN", "MISS KUO ZHAOYAN, FELICIA"…
$ third_vp_name      <chr> "NULL", "NULL", "NULL", "NULL", "NULL", "NULL", "NU…
$ fourth_vp_name     <chr> "NULL", "NULL", "NULL", "NULL", "NULL", "NULL", "NU…
$ fifth_vp_name      <chr> "NULL", "NULL", "NULL", "NULL", "NULL", "NULL", "NU…
$ sixth_vp_name      <chr> "NULL", "NULL", "NULL", "NULL", "NULL", "NULL", "NU…
$ dgp_code           <chr> "BUKIT MERAH", "BUKIT MERAH", "BUKIT MERAH", "BUKIT…
$ zone_code          <chr> "SOUTH", "SOUTH", "SOUTH", "SOUTH", "SOUTH", "SOUTH…
$ type_code          <chr> "GOVERNMENT SCHOOL", "GOVERNMENT-AIDED SCH", "GOVER…
$ nature_code        <chr> "CO-ED SCHOOL", "GIRLS' SCHOOL", "GIRLS' SCHOOL", "…
$ session_code       <chr> "SINGLE SESSION", "SINGLE SESSION", "SINGLE SESSION…
$ mainlevel_code     <chr> "PRIMARY", "SECONDARY", "PRIMARY", "PRIMARY", "PRIM…
$ sap_ind            <chr> "No", "No", "No", "No", "No", "No", "No", "No", "Ye…
$ autonomous_ind     <chr> "No", "No", "No", "No", "No", "No", "No", "No", "No…
$ gifted_ind         <chr> "No", "No", "No", "No", "No", "No", "No", "No", "Ye…
$ ip_ind             <chr> "No", "No", "No", "No", "No", "No", "No", "No", "No…
$ mothertongue1_code <chr> "Chinese", "Chinese", "Chinese", "Chinese", "Chines…
$ mothertongue2_code <chr> "Malay", "Malay", "Malay", "Malay", "Malay", "Malay…
$ mothertongue3_code <chr> "Tamil", "Tamil", "Tamil", "Tamil", "Tamil", "na", …
$ results.SEARCHVAL  <chr> "KIDZ TREEHOUSE @ CANTONMENT", "CHIJ SAINT THERESA'…
$ results.BLK_NO     <chr> "1", "160", "1", "1", "91", "147", "301", "50", "30…
$ results.ROAD_NAME  <chr> "CANTONMENT CLOSE", "LOWER DELTA ROAD", "BUKIT TERE…
$ results.BUILDING   <chr> "KIDZ TREEHOUSE @ CANTONMENT", "CHIJ SAINT THERESA'…
$ results.ADDRESS    <chr> "1 CANTONMENT CLOSE KIDZ TREEHOUSE @ CANTONMENT SIN…
$ results.X          <dbl> 28748.16, 26789.38, 27402.97, 26983.87, 25248.37, 2…
$ results.Y          <dbl> 28660.00, 28647.44, 28579.85, 28603.93, 28733.28, 3…
$ results.LATITUDE   <dbl> 1.275465, 1.275352, 1.274740, 1.274958, 1.276128, 1…
$ results.LONGITUDE  <dbl> 103.8400, 103.8224, 103.8280, 103.8242, 103.8086, 1…

There are a lot of information that we do not need from the imported data (e.g. School principal, mothertongue1_code) so we will use the following code chunk to retain the columns that we want and also rename the results.LATITUDE and results.LONGITUDE columns to latitude and longitude respectively.

schools_tidy <- schools %>%
  rename(latitude = "results.LATITUDE",
         longitude = "results.LONGITUDE")%>%
  select(postal_code, school_name, latitude, longitude)
glimpse(schools_tidy)
Rows: 350
Columns: 4
$ postal_code <chr> "088256", "099138", "099757", "099840", "109100", "127368"…
$ school_name <chr> "CANTONMENT PRIMARY SCHOOL", "CHIJ ST. THERESA'S CONVENT",…
$ latitude    <dbl> 1.275465, 1.275352, 1.274740, 1.274958, 1.276128, 1.301228…
$ longitude   <dbl> 103.8400, 103.8224, 103.8280, 103.8242, 103.8086, 103.7649…

We will now check if there are any duplicates in the schools_tidy data frame.

Show the code 
duplicate2 <- schools_tidy %>%
  group_by_all() %>% 
  filter(n()>1) %>%
  ungroup()

duplicate2
# A tibble: 8 × 4
  postal_code school_name                             latitude longitude
  <chr>       <chr>                                      <dbl>     <dbl>
1 309437      SINGAPORE CHINESE GIRLS' PRIMARY SCHOOL     1.32      104.
2 309437      SINGAPORE CHINESE GIRLS' PRIMARY SCHOOL     1.32      104.
3 309437      SINGAPORE CHINESE GIRLS' SCHOOL             1.32      104.
4 309437      SINGAPORE CHINESE GIRLS' SCHOOL             1.32      104.
5 599986      METHODIST GIRLS' SCHOOL (SECONDARY)         1.33      104.
6 599986      METHODIST GIRLS' SCHOOL (SECONDARY)         1.33      104.
7 599986      METHODIST GIRLS' SCHOOL (PRIMARY)           1.33      104.
8 599986      METHODIST GIRLS' SCHOOL (PRIMARY)           1.33      104.

From the above output, we find that there are duplicate entries for Singapore Chinese Girls’ Primary School, Singapore Chinese Girls’ School, Methodist Girls’ School (Secondary) and Methodist Girls’ School (Primary). Hence we will remove the duplicates using the following code chunk.

Show the code 
schools_tidy <- unique(schools_tidy)

Let us do a check to confirm that there are no duplicates in the data frame now.

Show the code 
duplicate3 <- schools_tidy %>%
  group_by_all() %>% 
  filter(n()>1) %>%
  ungroup()

duplicate3
# A tibble: 0 × 4
# ℹ 4 variables: postal_code <chr>, school_name <chr>, latitude <dbl>,
#   longitude <dbl>

From the above output, it shows that there are no more duplicates in the dataframe.

2.2.5 Converting Aspatial data into SF Tibble Dataframe

Currently the hdb residential and school_tidy data are still asaptial data even though they have latitude and longitude information. So we will use st_as_sf() to convert it into an sf tibble dataframe and use st_transform() to change it to SYV21 projected coordinate system (i.e. the crs code is 3414)

We use the following code chunk to convert hdb residential data into an sf tibble dataframe.

hdb_res_sf <- st_as_sf(hdb_res, 
                              coords = c("lng", "lat"),
                              crs=4326) %>%
  st_transform(crs = 3414)
glimpse(hdb_res_sf)
Rows: 10,179
Columns: 5
$ postal               <chr> "460001", "461001", "500001", "160001", "130001",…
$ SUBZONE_N            <chr> "BEDOK SOUTH", "KEMBANGAN", "CHANGI POINT", "BUKI…
$ residential          <chr> "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y",…
$ total_dwelling_units <dbl> 206, 102, 55, 96, 125, 247, 95, 220, 219, 319, 20…
$ geometry             <POINT [m]> POINT (39173.81 33678.86), POINT (37949.03 …

We will write it as an rds file for future use.

Show the code 
write_rds(hdb_res_sf, "data/rds/hdb_res_sf.rds")
Show the code 
hdb_res_sf <- read_rds("data/rds/hdb_res_sf.rds")

We use the following code chunk to convert schools_tidy into an sf tibble dataframe.

schools_sf <- st_as_sf(schools_tidy,
                       coords = c("longitude", "latitude"), 
                       crs=4326) %>%
  st_transform(crs=3414)
glimpse(schools_sf)
Rows: 346
Columns: 3
$ postal_code <chr> "088256", "099138", "099757", "099840", "109100", "127368"…
$ school_name <chr> "CANTONMENT PRIMARY SCHOOL", "CHIJ ST. THERESA'S CONVENT",…
$ geometry    <POINT [m]> POINT (28748.16 28660), POINT (26789.38 28647.44), P…

We will write it as an rds file for future use.

Show the code 
write_rds(schools_sf, "data/rds/schools_sf.rds")
Show the code 
schools_sf <- read_rds("data/rds/schools_sf.rds")

2.3 Data Wrangling of Spatial Data

We will now take a look at the spatial data imported in.

glimpse(mpsz)
Rows: 332
Columns: 7
$ SUBZONE_N  <chr> "MARINA EAST", "INSTITUTION HILL", "ROBERTSON QUAY", "JURON…
$ SUBZONE_C  <chr> "MESZ01", "RVSZ05", "SRSZ01", "WISZ01", "MUSZ02", "MPSZ05",…
$ PLN_AREA_N <chr> "MARINA EAST", "RIVER VALLEY", "SINGAPORE RIVER", "WESTERN …
$ PLN_AREA_C <chr> "ME", "RV", "SR", "WI", "MU", "MP", "WI", "WI", "SI", "SI",…
$ REGION_N   <chr> "CENTRAL REGION", "CENTRAL REGION", "CENTRAL REGION", "WEST…
$ REGION_C   <chr> "CR", "CR", "CR", "WR", "CR", "CR", "WR", "WR", "CR", "CR",…
$ geometry   <MULTIPOLYGON [°]> MULTIPOLYGON (((103.8802 1...., MULTIPOLYGON (…
glimpse(busstop)
Rows: 5,161
Columns: 4
$ BUS_STOP_N <chr> "22069", "32071", "44331", "96081", "11561", "66191", "2338…
$ BUS_ROOF_N <chr> "B06", "B23", "B01", "B05", "B05", "B03", "B02A", "B02", "B…
$ LOC_DESC   <chr> "OPP CEVA LOGISTICS", "AFT TRACK 13", "BLK 239", "GRACE IND…
$ geometry   <POINT [m]> POINT (13576.31 32883.65), POINT (13228.59 44206.38),…
glimpse(mrtexits)
Rows: 565
Columns: 3
$ stn_name  <chr> "MACPHERSON MRT STATION", "MACPHERSON MRT STATION", "MACPHER…
$ exit_code <chr> "Exit A", "Exit B", "Exit C", "Exit B", "Exit A", "Exit A", …
$ geometry  <POINT [m]> POINT (34285.07 34322.99), POINT (34382.15 34231.9), P…
glimpse(business)
Rows: 6,550
Columns: 4
$ POI_NAME   <chr> "JOHN CHEN", "TROPICAL INDUSTRIAL BUILDING", "LIAN CHEONG I…
$ POI_ST_NUM <chr> "6", "14", "12", NA, "2", "21", "68", "68", NA, "14", "10",…
$ POI_ST_NAM <chr> "LITTLE RD", "LITTLE RD", "LITTLE RD", NA, "LITTLE RD", "LO…
$ geometry   <POINT [m]> POINT (33818.36 35620.16), POINT (33770.51 35610.2), …
glimpse(finserv)
Rows: 3,320
Columns: 4
$ POI_NAME   <chr> "UOB", "POSB", "UOB", "OCBC", "OCBC", "MAYBANK", "ADPOST MO…
$ POI_ST_NUM <chr> "201", "375", "375", "375", NA, "707", "163", NA, "11", NA,…
$ POI_ST_NAM <chr> "YISHUN AVE 2", "COMMONWEALTH AVE", "COMMONWEALTH AVE", "CO…
$ geometry   <POINT [m]> POINT (27966.77 44304.65), POINT (24163.96 31606.25),…

We noticed that mpsz dataset is made up of multipolygons while the remaining datasets are made up of point geometry.

Let us now check the coordinates system using the st_crs() function.

st_crs(mpsz)
Coordinate Reference System:
  User input: WGS 84 
  wkt:
GEOGCRS["WGS 84",
    DATUM["World Geodetic System 1984",
        ELLIPSOID["WGS 84",6378137,298.257223563,
            LENGTHUNIT["metre",1]]],
    PRIMEM["Greenwich",0,
        ANGLEUNIT["degree",0.0174532925199433]],
    CS[ellipsoidal,2],
        AXIS["latitude",north,
            ORDER[1],
            ANGLEUNIT["degree",0.0174532925199433]],
        AXIS["longitude",east,
            ORDER[2],
            ANGLEUNIT["degree",0.0174532925199433]],
    ID["EPSG",4326]]
st_crs(busstop)
Coordinate Reference System:
  User input: SVY21 
  wkt:
PROJCRS["SVY21",
    BASEGEOGCRS["WGS 84",
        DATUM["World Geodetic System 1984",
            ELLIPSOID["WGS 84",6378137,298.257223563,
                LENGTHUNIT["metre",1]],
            ID["EPSG",6326]],
        PRIMEM["Greenwich",0,
            ANGLEUNIT["Degree",0.0174532925199433]]],
    CONVERSION["unnamed",
        METHOD["Transverse Mercator",
            ID["EPSG",9807]],
        PARAMETER["Latitude of natural origin",1.36666666666667,
            ANGLEUNIT["Degree",0.0174532925199433],
            ID["EPSG",8801]],
        PARAMETER["Longitude of natural origin",103.833333333333,
            ANGLEUNIT["Degree",0.0174532925199433],
            ID["EPSG",8802]],
        PARAMETER["Scale factor at natural origin",1,
            SCALEUNIT["unity",1],
            ID["EPSG",8805]],
        PARAMETER["False easting",28001.642,
            LENGTHUNIT["metre",1],
            ID["EPSG",8806]],
        PARAMETER["False northing",38744.572,
            LENGTHUNIT["metre",1],
            ID["EPSG",8807]]],
    CS[Cartesian,2],
        AXIS["(E)",east,
            ORDER[1],
            LENGTHUNIT["metre",1,
                ID["EPSG",9001]]],
        AXIS["(N)",north,
            ORDER[2],
            LENGTHUNIT["metre",1,
                ID["EPSG",9001]]]]
st_crs(mrtexits)
Coordinate Reference System:
  User input: SVY21 
  wkt:
PROJCRS["SVY21",
    BASEGEOGCRS["WGS 84",
        DATUM["World Geodetic System 1984",
            ELLIPSOID["WGS 84",6378137,298.257223563,
                LENGTHUNIT["metre",1]],
            ID["EPSG",6326]],
        PRIMEM["Greenwich",0,
            ANGLEUNIT["Degree",0.0174532925199433]]],
    CONVERSION["unnamed",
        METHOD["Transverse Mercator",
            ID["EPSG",9807]],
        PARAMETER["Latitude of natural origin",1.36666666666667,
            ANGLEUNIT["Degree",0.0174532925199433],
            ID["EPSG",8801]],
        PARAMETER["Longitude of natural origin",103.833333333333,
            ANGLEUNIT["Degree",0.0174532925199433],
            ID["EPSG",8802]],
        PARAMETER["Scale factor at natural origin",1,
            SCALEUNIT["unity",1],
            ID["EPSG",8805]],
        PARAMETER["False easting",28001.642,
            LENGTHUNIT["metre",1],
            ID["EPSG",8806]],
        PARAMETER["False northing",38744.572,
            LENGTHUNIT["metre",1],
            ID["EPSG",8807]]],
    CS[Cartesian,2],
        AXIS["(E)",east,
            ORDER[1],
            LENGTHUNIT["metre",1,
                ID["EPSG",9001]]],
        AXIS["(N)",north,
            ORDER[2],
            LENGTHUNIT["metre",1,
                ID["EPSG",9001]]]]
st_crs(business)
Coordinate Reference System:
  User input: SVY21 / Singapore TM 
  wkt:
PROJCRS["SVY21 / Singapore TM",
    BASEGEOGCRS["SVY21",
        DATUM["SVY21",
            ELLIPSOID["WGS 84",6378137,298.257223563,
                LENGTHUNIT["metre",1]]],
        PRIMEM["Greenwich",0,
            ANGLEUNIT["degree",0.0174532925199433]],
        ID["EPSG",4757]],
    CONVERSION["Singapore Transverse Mercator",
        METHOD["Transverse Mercator",
            ID["EPSG",9807]],
        PARAMETER["Latitude of natural origin",1.36666666666667,
            ANGLEUNIT["degree",0.0174532925199433],
            ID["EPSG",8801]],
        PARAMETER["Longitude of natural origin",103.833333333333,
            ANGLEUNIT["degree",0.0174532925199433],
            ID["EPSG",8802]],
        PARAMETER["Scale factor at natural origin",1,
            SCALEUNIT["unity",1],
            ID["EPSG",8805]],
        PARAMETER["False easting",28001.642,
            LENGTHUNIT["metre",1],
            ID["EPSG",8806]],
        PARAMETER["False northing",38744.572,
            LENGTHUNIT["metre",1],
            ID["EPSG",8807]]],
    CS[Cartesian,2],
        AXIS["northing (N)",north,
            ORDER[1],
            LENGTHUNIT["metre",1]],
        AXIS["easting (E)",east,
            ORDER[2],
            LENGTHUNIT["metre",1]],
    USAGE[
        SCOPE["Cadastre, engineering survey, topographic mapping."],
        AREA["Singapore - onshore and offshore."],
        BBOX[1.13,103.59,1.47,104.07]],
    ID["EPSG",3414]]
st_crs(finserv)
Coordinate Reference System:
  User input: SVY21 / Singapore TM 
  wkt:
PROJCRS["SVY21 / Singapore TM",
    BASEGEOGCRS["SVY21",
        DATUM["SVY21",
            ELLIPSOID["WGS 84",6378137,298.257223563,
                LENGTHUNIT["metre",1]]],
        PRIMEM["Greenwich",0,
            ANGLEUNIT["degree",0.0174532925199433]],
        ID["EPSG",4757]],
    CONVERSION["Singapore Transverse Mercator",
        METHOD["Transverse Mercator",
            ID["EPSG",9807]],
        PARAMETER["Latitude of natural origin",1.36666666666667,
            ANGLEUNIT["degree",0.0174532925199433],
            ID["EPSG",8801]],
        PARAMETER["Longitude of natural origin",103.833333333333,
            ANGLEUNIT["degree",0.0174532925199433],
            ID["EPSG",8802]],
        PARAMETER["Scale factor at natural origin",1,
            SCALEUNIT["unity",1],
            ID["EPSG",8805]],
        PARAMETER["False easting",28001.642,
            LENGTHUNIT["metre",1],
            ID["EPSG",8806]],
        PARAMETER["False northing",38744.572,
            LENGTHUNIT["metre",1],
            ID["EPSG",8807]]],
    CS[Cartesian,2],
        AXIS["northing (N)",north,
            ORDER[1],
            LENGTHUNIT["metre",1]],
        AXIS["easting (E)",east,
            ORDER[2],
            LENGTHUNIT["metre",1]],
    USAGE[
        SCOPE["Cadastre, engineering survey, topographic mapping."],
        AREA["Singapore - onshore and offshore."],
        BBOX[1.13,103.59,1.47,104.07]],
    ID["EPSG",3414]]

From the above output, we see that the coordinate system for mpsz is WGS 84, and the coorinate systems for the remaining datasets are SVY21. However, busstop and trainexits still have ‘9001’ in the output of st_crs(), meaning that this is a wrong EPSG code because the correct EPSG code for SVY21 should be 3414.

We use st_transform transform the CRS for mpsz because it was in another projection format. Then we use st_set_crs() to assign the correct ESPG code to the remaining sf dataframe, just to ensure all sf dataframes are in the same CRS.

mpsz3414 <- st_transform(mpsz, crs=3414)
st_crs(mpsz3414)
Coordinate Reference System:
  User input: EPSG:3414 
  wkt:
PROJCRS["SVY21 / Singapore TM",
    BASEGEOGCRS["SVY21",
        DATUM["SVY21",
            ELLIPSOID["WGS 84",6378137,298.257223563,
                LENGTHUNIT["metre",1]]],
        PRIMEM["Greenwich",0,
            ANGLEUNIT["degree",0.0174532925199433]],
        ID["EPSG",4757]],
    CONVERSION["Singapore Transverse Mercator",
        METHOD["Transverse Mercator",
            ID["EPSG",9807]],
        PARAMETER["Latitude of natural origin",1.36666666666667,
            ANGLEUNIT["degree",0.0174532925199433],
            ID["EPSG",8801]],
        PARAMETER["Longitude of natural origin",103.833333333333,
            ANGLEUNIT["degree",0.0174532925199433],
            ID["EPSG",8802]],
        PARAMETER["Scale factor at natural origin",1,
            SCALEUNIT["unity",1],
            ID["EPSG",8805]],
        PARAMETER["False easting",28001.642,
            LENGTHUNIT["metre",1],
            ID["EPSG",8806]],
        PARAMETER["False northing",38744.572,
            LENGTHUNIT["metre",1],
            ID["EPSG",8807]]],
    CS[Cartesian,2],
        AXIS["northing (N)",north,
            ORDER[1],
            LENGTHUNIT["metre",1]],
        AXIS["easting (E)",east,
            ORDER[2],
            LENGTHUNIT["metre",1]],
    USAGE[
        SCOPE["Cadastre, engineering survey, topographic mapping."],
        AREA["Singapore - onshore and offshore."],
        BBOX[1.13,103.59,1.47,104.07]],
    ID["EPSG",3414]]
busstop3414 <- st_set_crs(busstop, 3414)
st_crs(busstop3414)
Coordinate Reference System:
  User input: EPSG:3414 
  wkt:
PROJCRS["SVY21 / Singapore TM",
    BASEGEOGCRS["SVY21",
        DATUM["SVY21",
            ELLIPSOID["WGS 84",6378137,298.257223563,
                LENGTHUNIT["metre",1]]],
        PRIMEM["Greenwich",0,
            ANGLEUNIT["degree",0.0174532925199433]],
        ID["EPSG",4757]],
    CONVERSION["Singapore Transverse Mercator",
        METHOD["Transverse Mercator",
            ID["EPSG",9807]],
        PARAMETER["Latitude of natural origin",1.36666666666667,
            ANGLEUNIT["degree",0.0174532925199433],
            ID["EPSG",8801]],
        PARAMETER["Longitude of natural origin",103.833333333333,
            ANGLEUNIT["degree",0.0174532925199433],
            ID["EPSG",8802]],
        PARAMETER["Scale factor at natural origin",1,
            SCALEUNIT["unity",1],
            ID["EPSG",8805]],
        PARAMETER["False easting",28001.642,
            LENGTHUNIT["metre",1],
            ID["EPSG",8806]],
        PARAMETER["False northing",38744.572,
            LENGTHUNIT["metre",1],
            ID["EPSG",8807]]],
    CS[Cartesian,2],
        AXIS["northing (N)",north,
            ORDER[1],
            LENGTHUNIT["metre",1]],
        AXIS["easting (E)",east,
            ORDER[2],
            LENGTHUNIT["metre",1]],
    USAGE[
        SCOPE["Cadastre, engineering survey, topographic mapping."],
        AREA["Singapore - onshore and offshore."],
        BBOX[1.13,103.59,1.47,104.07]],
    ID["EPSG",3414]]
mrtexits3414 <- st_set_crs(mrtexits, 3414)
st_crs(mrtexits3414)
Coordinate Reference System:
  User input: EPSG:3414 
  wkt:
PROJCRS["SVY21 / Singapore TM",
    BASEGEOGCRS["SVY21",
        DATUM["SVY21",
            ELLIPSOID["WGS 84",6378137,298.257223563,
                LENGTHUNIT["metre",1]]],
        PRIMEM["Greenwich",0,
            ANGLEUNIT["degree",0.0174532925199433]],
        ID["EPSG",4757]],
    CONVERSION["Singapore Transverse Mercator",
        METHOD["Transverse Mercator",
            ID["EPSG",9807]],
        PARAMETER["Latitude of natural origin",1.36666666666667,
            ANGLEUNIT["degree",0.0174532925199433],
            ID["EPSG",8801]],
        PARAMETER["Longitude of natural origin",103.833333333333,
            ANGLEUNIT["degree",0.0174532925199433],
            ID["EPSG",8802]],
        PARAMETER["Scale factor at natural origin",1,
            SCALEUNIT["unity",1],
            ID["EPSG",8805]],
        PARAMETER["False easting",28001.642,
            LENGTHUNIT["metre",1],
            ID["EPSG",8806]],
        PARAMETER["False northing",38744.572,
            LENGTHUNIT["metre",1],
            ID["EPSG",8807]]],
    CS[Cartesian,2],
        AXIS["northing (N)",north,
            ORDER[1],
            LENGTHUNIT["metre",1]],
        AXIS["easting (E)",east,
            ORDER[2],
            LENGTHUNIT["metre",1]],
    USAGE[
        SCOPE["Cadastre, engineering survey, topographic mapping."],
        AREA["Singapore - onshore and offshore."],
        BBOX[1.13,103.59,1.47,104.07]],
    ID["EPSG",3414]]
business3414 <- st_set_crs(business, 3414)
st_crs(business3414)
Coordinate Reference System:
  User input: EPSG:3414 
  wkt:
PROJCRS["SVY21 / Singapore TM",
    BASEGEOGCRS["SVY21",
        DATUM["SVY21",
            ELLIPSOID["WGS 84",6378137,298.257223563,
                LENGTHUNIT["metre",1]]],
        PRIMEM["Greenwich",0,
            ANGLEUNIT["degree",0.0174532925199433]],
        ID["EPSG",4757]],
    CONVERSION["Singapore Transverse Mercator",
        METHOD["Transverse Mercator",
            ID["EPSG",9807]],
        PARAMETER["Latitude of natural origin",1.36666666666667,
            ANGLEUNIT["degree",0.0174532925199433],
            ID["EPSG",8801]],
        PARAMETER["Longitude of natural origin",103.833333333333,
            ANGLEUNIT["degree",0.0174532925199433],
            ID["EPSG",8802]],
        PARAMETER["Scale factor at natural origin",1,
            SCALEUNIT["unity",1],
            ID["EPSG",8805]],
        PARAMETER["False easting",28001.642,
            LENGTHUNIT["metre",1],
            ID["EPSG",8806]],
        PARAMETER["False northing",38744.572,
            LENGTHUNIT["metre",1],
            ID["EPSG",8807]]],
    CS[Cartesian,2],
        AXIS["northing (N)",north,
            ORDER[1],
            LENGTHUNIT["metre",1]],
        AXIS["easting (E)",east,
            ORDER[2],
            LENGTHUNIT["metre",1]],
    USAGE[
        SCOPE["Cadastre, engineering survey, topographic mapping."],
        AREA["Singapore - onshore and offshore."],
        BBOX[1.13,103.59,1.47,104.07]],
    ID["EPSG",3414]]
finserv3414 <- st_set_crs(finserv, 3414)
st_crs(finserv3414)
Coordinate Reference System:
  User input: EPSG:3414 
  wkt:
PROJCRS["SVY21 / Singapore TM",
    BASEGEOGCRS["SVY21",
        DATUM["SVY21",
            ELLIPSOID["WGS 84",6378137,298.257223563,
                LENGTHUNIT["metre",1]]],
        PRIMEM["Greenwich",0,
            ANGLEUNIT["degree",0.0174532925199433]],
        ID["EPSG",4757]],
    CONVERSION["Singapore Transverse Mercator",
        METHOD["Transverse Mercator",
            ID["EPSG",9807]],
        PARAMETER["Latitude of natural origin",1.36666666666667,
            ANGLEUNIT["degree",0.0174532925199433],
            ID["EPSG",8801]],
        PARAMETER["Longitude of natural origin",103.833333333333,
            ANGLEUNIT["degree",0.0174532925199433],
            ID["EPSG",8802]],
        PARAMETER["Scale factor at natural origin",1,
            SCALEUNIT["unity",1],
            ID["EPSG",8805]],
        PARAMETER["False easting",28001.642,
            LENGTHUNIT["metre",1],
            ID["EPSG",8806]],
        PARAMETER["False northing",38744.572,
            LENGTHUNIT["metre",1],
            ID["EPSG",8807]]],
    CS[Cartesian,2],
        AXIS["northing (N)",north,
            ORDER[1],
            LENGTHUNIT["metre",1]],
        AXIS["easting (E)",east,
            ORDER[2],
            LENGTHUNIT["metre",1]],
    USAGE[
        SCOPE["Cadastre, engineering survey, topographic mapping."],
        AREA["Singapore - onshore and offshore."],
        BBOX[1.13,103.59,1.47,104.07]],
    ID["EPSG",3414]]

2.3.1 Creating the Analytical Hexagon Layer

For this exercise, we will be analysing the bus commuter flows at analytics hexagon level. The analytical hexagon data is 375m between the centre of the hexagon and its edges to represent the traffic analysis zone.

First, we will create a hexagon tessellation using busstop3414 to define the bounding box of the tessellation. As the hexagon layer that we want is 375m (the perpendicular distance between the centre of the hexagon and its edge), and the cellsize parameter in st_make_grid() requires the length to be between opposite edges, we multiply 375m by 2 to get 750m, which is the distance between 2 opposite edges of a hexagon.

In the code chunk below, we also specify the crs = 3414 since we are using the SVY21 coordinate reference system and set square = FALSE to return a hexagon grid (rather than a square grid).

Show the code 
hex_grid <- st_make_grid(busstop3414, c(750,750), crs= 3414, what = "polygons", square = FALSE)

head(hex_grid, 10)
Geometry set for 10 features 
Geometry type: POLYGON
Dimension:     XY
Bounding box:  xmin: 3220.122 ymin: 26698.61 xmax: 3970.122 ymax: 39255.98
Projected CRS: SVY21 / Singapore TM
First 5 geometries:

Next, we convert hex_grid from a sfc_POLYGON object to sf object for easier handling and add an unique ID to each hexagon.

Show the code 
hex_grid_sf <- st_sf(hex_grid) %>%
  mutate(grid_id = 1:length(lengths(hex_grid)))

head(hex_grid_sf, 10)
Simple feature collection with 10 features and 1 field
Geometry type: POLYGON
Dimension:     XY
Bounding box:  xmin: 3220.122 ymin: 26698.61 xmax: 3970.122 ymax: 39255.98
Projected CRS: SVY21 / Singapore TM
                         hex_grid grid_id
1  POLYGON ((3595.122 26698.61...       1
2  POLYGON ((3595.122 27997.65...       2
3  POLYGON ((3595.122 29296.68...       3
4  POLYGON ((3595.122 30595.72...       4
5  POLYGON ((3595.122 31894.76...       5
6  POLYGON ((3595.122 33193.8,...       6
7  POLYGON ((3595.122 34492.84...       7
8  POLYGON ((3595.122 35791.87...       8
9  POLYGON ((3595.122 37090.91...       9
10 POLYGON ((3595.122 38389.95...      10

This will give us a hexagon grid as seen below.

Show the code 
qtm(hex_grid_sf)

To retrieve the hexagons that have busstops in it, we use st_intersects() and lengths() to find out the number of bus stops in each hexagon.

Show the code 
hex_grid_sf$BS_COUNT <- lengths(st_intersects(hex_grid_sf, busstop3414))

We then use this column to filter out the hexagons that only contains busstops.

Show the code 
busmap <- filter(hex_grid_sf, BS_COUNT>0)

head(busmap, 10) 
Simple feature collection with 10 features and 2 fields
Geometry type: POLYGON
Dimension:     XY
Bounding box:  xmin: 3595.122 ymin: 27348.13 xmax: 5470.122 ymax: 32760.78
Projected CRS: SVY21 / Singapore TM
                         hex_grid grid_id BS_COUNT
1  POLYGON ((3970.122 27348.13...      23        1
2  POLYGON ((4345.122 27997.65...      44        1
3  POLYGON ((4345.122 30595.72...      46        2
4  POLYGON ((4720.122 28647.16...      66        1
5  POLYGON ((4720.122 29946.2,...      67        4
6  POLYGON ((4720.122 31245.24...      68        1
7  POLYGON ((5095.122 27997.65...      86        1
8  POLYGON ((5095.122 29296.68...      87        1
9  POLYGON ((5095.122 30595.72...      88        4
10 POLYGON ((5095.122 31894.76...      89        2

We plot out busmap to plot out the hexagons containing the busstops.

Show the code 
  tm_shape(mpsz3414) +
  tm_fill() +
  tm_shape(busmap)+
  tm_polygons("BS_COUNT")

We see that there are some busstops outside the Singapore Map and we will remove them in the later steps. This is because we do noth have information on the businesses, residential dwellings and other data required to come up with the explanatory variables for the Spatial Interaction Models.

2.4 Counts of Businesses, Financial Services, Schools and MRT Stations in Each Hexagon

We use st_intersects() and lengths() to find out how many businesses, Financial Services, MRT Exits are in each hexagon. The count of these variables would be the explantory variables on why people are travelling to a certain place

Show the code 
busmap$`BIZ_COUNT` <- lengths(st_intersects(busmap, business3414))
busmap$`FINSERV_COUNT` <- lengths(st_intersects(busmap, finserv3414))
busmap$`MRTEXIT_COUNT` <- lengths(st_intersects(busmap, mrtexits3414))
busmap$`SCHOOLS_COUNT` <- lengths(st_intersects(busmap, schools_sf))

glimpse(busmap)
Rows: 834
Columns: 7
$ hex_grid      <POLYGON [m]> POLYGON ((3970.122 27348.13..., POLYGON ((4345.1…
$ grid_id       <int> 23, 44, 46, 66, 67, 68, 86, 87, 88, 89, 90, 109, 110, 11…
$ BS_COUNT      <int> 1, 1, 2, 1, 4, 1, 1, 1, 4, 2, 1, 3, 2, 5, 2, 1, 1, 5, 3,…
$ BIZ_COUNT     <int> 0, 5, 4, 1, 50, 27, 3, 3, 66, 52, 4, 10, 23, 41, 2, 6, 1…
$ FINSERV_COUNT <int> 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…

We create busmap_grid to have a dataframe just with the grid_id, bs_count and geometry to use it for subsequent data wrangling steps.

busmap_grid <- busmap %>%
  select(grid_id, BS_COUNT)

glimpse(busmap_grid)
Rows: 834
Columns: 3
$ grid_id  <int> 23, 44, 46, 66, 67, 68, 86, 87, 88, 89, 90, 109, 110, 111, 11…
$ BS_COUNT <int> 1, 1, 2, 1, 4, 1, 1, 1, 4, 2, 1, 3, 2, 5, 2, 1, 1, 5, 3, 6, 7…
$ hex_grid <POLYGON [m]> POLYGON ((3970.122 27348.13..., POLYGON ((4345.122 27…

We will also keep it as an rds file for future use.

write_rds(busmap_grid, "data/rds/busmap_grid.rds")

2.5 HDB Residential Dwellings in Each Hexagon

Unlike the businesses, Financial Services and MRT Exits, we cannot use the counts for HDB Residential Buidlings. So we will first derive the grid_ids for the residences in hdb_res_sf using st_interaction().

Show the code 
hdb_res_hex <- st_intersection(hdb_res_sf, busmap_grid)
glimpse(hdb_res_hex)
Rows: 10,131
Columns: 7
$ postal               <chr> "640902", "640903", "640904", "640905", "640906",…
$ SUBZONE_N            <chr> "YUNNAN", "YUNNAN", "YUNNAN", "YUNNAN", "YUNNAN",…
$ residential          <chr> "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y",…
$ total_dwelling_units <dbl> 96, 84, 110, 28, 90, 77, 110, 96, 110, 90, 77, 20…
$ grid_id              <int> 449, 449, 449, 449, 449, 449, 449, 449, 470, 470,…
$ BS_COUNT             <int> 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7…
$ geometry             <POINT [m]> POINT (11672.86 35698.7), POINT (11611.8 35…

We will drop the geometry using st_drop_geometry so that hdb_res_hex becomes a tibble dataframe. After it is a tibble dataframe, we will group by using the grid_id and sum the dwellings to find out the total residential dwellings in each hexagon.

Show the code 
hdb_res_hex_df <- st_drop_geometry(hdb_res_hex)

hdb_res_hex_df <- hdb_res_hex_df %>%
  group_by(grid_id) %>%
  summarise(DWELLINGS = sum(total_dwelling_units))

glimpse(hdb_res_hex_df)
Rows: 392
Columns: 2
$ grid_id   <int> 449, 470, 491, 511, 512, 533, 534, 554, 555, 575, 576, 596, …
$ DWELLINGS <dbl> 691, 3096, 2051, 366, 6033, 7647, 2845, 7100, 722, 3374, 186…

2.6 Explanatory variables

We will join the dwellings information with the counts of businesses, financial services and MRT exits found in busmap dataframe after dropping the latter’s geometry. The resultant dataframe var_grid will contain information on the explanatory variables used to build the spatial interaction models.

Show the code 
var_grid <- busmap %>%
  st_drop_geometry() %>%
  left_join(hdb_res_hex_df)

glimpse(var_grid)
Rows: 834
Columns: 7
$ grid_id       <int> 23, 44, 46, 66, 67, 68, 86, 87, 88, 89, 90, 109, 110, 11…
$ BS_COUNT      <int> 1, 1, 2, 1, 4, 1, 1, 1, 4, 2, 1, 3, 2, 5, 2, 1, 1, 5, 3,…
$ BIZ_COUNT     <int> 0, 5, 4, 1, 50, 27, 3, 3, 66, 52, 4, 10, 23, 41, 2, 6, 1…
$ FINSERV_COUNT <int> 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ DWELLINGS     <dbl> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, …

We will convert the grid_id into a factor and also replace the NA in DWELLINGS column with 0 using the following code.

Show the code 
var_grid$grid_id <- as.factor(var_grid$grid_id)

var_grid$DWELLINGS <- var_grid$DWELLINGS %>% replace_na(0)

glimpse(var_grid)
Rows: 834
Columns: 7
$ grid_id       <fct> 23, 44, 46, 66, 67, 68, 86, 87, 88, 89, 90, 109, 110, 11…
$ BS_COUNT      <int> 1, 1, 2, 1, 4, 1, 1, 1, 4, 2, 1, 3, 2, 5, 2, 1, 1, 5, 3,…
$ BIZ_COUNT     <int> 0, 5, 4, 1, 50, 27, 3, 3, 66, 52, 4, 10, 23, 41, 2, 6, 1…
$ FINSERV_COUNT <int> 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ DWELLINGS     <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…

We will store it as an RDS file for future use.

Show the code 
write_rds(var_grid, "data/rds/var_grid.rds")

2.7 Dropping Busstops outside of Singapore and mapping busstop code with grid_id

Notice that busgrid has hexagon related information, but we are unable to map it back to the odbus_WDMP dataframe because there are no common fields.

Hence, we will use st_intersection() to get the busstop codes (from busstop3414) and their corresponding grid_id.

Show the code 
busstop_hex <- st_intersection(busstop3414, busmap_grid)
glimpse(busstop_hex)
Rows: 5,161
Columns: 6
$ BUS_STOP_N <chr> "25059", "25751", "26379", "26369", "25741", "26399", "2571…
$ BUS_ROOF_N <chr> "UNK", "B02D", "NIL", "NIL", "B03", "NIL", "B01C", "B02C", …
$ LOC_DESC   <chr> "AFT TUAS STH BLVD", "BEF TUAS STH AVE 14", "YONG NAM", "SE…
$ grid_id    <int> 23, 44, 46, 46, 66, 67, 67, 67, 67, 68, 86, 87, 88, 88, 88,…
$ BS_COUNT   <int> 1, 1, 2, 2, 1, 4, 4, 4, 4, 1, 1, 1, 4, 4, 4, 4, 2, 2, 1, 3,…
$ geometry   <POINT [m]> POINT (3970.122 28063.28), POINT (4427.939 28758.67),…

We will also use st_intersection() to get the planning subzones and their corresponding grid_id.

Show the code 
mpsz_hex <- st_intersection(mpsz3414, busmap) 

glimpse(mpsz_hex)
Rows: 2,284
Columns: 13
$ SUBZONE_N     <chr> "TUAS VIEW EXTENSION", "TUAS VIEW EXTENSION", "TUAS VIEW…
$ SUBZONE_C     <chr> "TSSZ06", "TSSZ06", "TSSZ05", "TSSZ06", "TSSZ06", "TSSZ0…
$ PLN_AREA_N    <chr> "TUAS", "TUAS", "TUAS", "TUAS", "TUAS", "TUAS", "TUAS", …
$ PLN_AREA_C    <chr> "TS", "TS", "TS", "TS", "TS", "TS", "TS", "TS", "TS", "T…
$ REGION_N      <chr> "WEST REGION", "WEST REGION", "WEST REGION", "WEST REGIO…
$ REGION_C      <chr> "WR", "WR", "WR", "WR", "WR", "WR", "WR", "WR", "WR", "W…
$ grid_id       <int> 23, 44, 46, 46, 66, 67, 67, 68, 68, 86, 87, 88, 89, 89, …
$ BS_COUNT      <int> 1, 1, 2, 2, 1, 4, 4, 1, 1, 1, 1, 4, 2, 2, 2, 1, 1, 3, 3,…
$ BIZ_COUNT     <int> 0, 5, 4, 4, 1, 50, 50, 27, 27, 3, 3, 66, 52, 52, 52, 4, …
$ FINSERV_COUNT <int> 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ geometry      <POLYGON [m]> POLYGON ((3595.122 27564.63..., POLYGON ((3970.1…

We then combine busstop_hex and mpsz_hex to get the busstop numbers, their grid_id, the subzones they are in and the count of the various factors affecting commuter flows

Show the code 
bs_mpsz_hex <- st_intersection(busstop_hex, mpsz_hex) %>%
  select(grid_id,BUS_STOP_N,SUBZONE_N,SUBZONE_C,REGION_N,
         BS_COUNT,BIZ_COUNT,FINSERV_COUNT,MRTEXIT_COUNT,SCHOOLS_COUNT)

glimpse(bs_mpsz_hex)
Rows: 5,156
Columns: 11
$ grid_id       <int> 23, 44, 46, 46, 66, 67, 67, 67, 67, 68, 86, 87, 88, 88, …
$ BUS_STOP_N    <chr> "25059", "25751", "26379", "26369", "25741", "26399", "2…
$ SUBZONE_N     <chr> "TUAS VIEW EXTENSION", "TUAS VIEW EXTENSION", "TUAS VIEW…
$ SUBZONE_C     <chr> "TSSZ06", "TSSZ06", "TSSZ05", "TSSZ05", "TSSZ06", "TSSZ0…
$ REGION_N      <chr> "WEST REGION", "WEST REGION", "WEST REGION", "WEST REGIO…
$ BS_COUNT      <int> 1, 1, 2, 2, 1, 4, 4, 4, 4, 1, 1, 1, 4, 4, 4, 4, 2, 2, 1,…
$ BIZ_COUNT     <int> 0, 5, 4, 4, 1, 50, 50, 50, 50, 27, 3, 3, 66, 66, 66, 66,…
$ FINSERV_COUNT <int> 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ geometry      <POINT [m]> POINT (3970.122 28063.28), POINT (4427.939 28758.6…
Note

Note that after we combined busstop_hex with mpsz_hex, the number of bus stops dropped from 5161 to 5156. This is because there are 5 busstops outside of Singapore. For this Spatial Interaction Model exercise, we do not have information of the explanatory variables of the locations of these 5 busstops so we will be excluding them in this exercise.

Again, we will store it as an rds file for later use.

Show the code 
write_rds(bs_mpsz_hex, "data/rds/bs_mpsz_hex.rds")
Show the code 
bs_mpsz_hex <- read_rds("data/rds/bs_mpsz_hex.rds")

3 Visualising the Attractiveness/ Propulsiveness Factors

We use the following code chunk to visualise the distribution of businesses, financial Services, MRT exits and HDB Residential Dwellings over the hexagon grid with busstops.

summary(busmap$BIZ_COUNT)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  0.000   0.000   1.000   7.273   7.000  97.000
Show the code 
tmap_mode("plot")
  tm_shape(mpsz3414) +
  tm_fill() +
  tm_shape(busmap)+
  tm_polygons("BS_COUNT", title="Businesses Per Hex") +
  tm_layout(main.title = "Distribution of Businesses",
            main.title.position = "center",
            main.title.size = 1,
            legend.height = 0.35, 
            legend.width = 0.35,
            legend.outside = FALSE,
            legend.position = c("right", "bottom"),
            frame = FALSE) 

datatable(busmap %>% 
  select(grid_id,BIZ_COUNT) %>%
  arrange(desc(busmap$BIZ_COUNT)))

From the above output, we observe that grid 1473 has the highest number of businesses concentrated, followed by grid 637, 1335 and 1793. We see the northern part, western part,southern and eastern part each have a cluster of high concentration of businesses. This could be due to the various industrial/ business districts. For example, the north has Yishun and Woodlands, the west has Joo Koon, the south has the central business district, the east has Kaki Bukit Industrial park.

summary(busmap$FINSERV_COUNT)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  0.000   0.000   1.000   3.922   4.000 139.000 
tmap_mode("plot")
  tm_shape(mpsz3414) +
  tm_fill() +
  tm_shape(busmap)+
  tm_polygons("FINSERV_COUNT", title="Number of Fin Serv Per Hex") +
  tm_layout(main.title = "Distribution of Financial Services ",
            main.title.position = "center",
            main.title.size = 1,
            legend.height = 0.35, 
            legend.width = 0.35,
            legend.outside = FALSE,
            legend.position = c("right", "bottom"),
            frame = FALSE) 

datatable(busmap %>% 
  select(grid_id,FINSERV_COUNT) %>%
  arrange(desc(busmap$FINSERV_COUNT)))

From the above output, we see that financial services are highly concentrated in the southern part of Singapore, where the Central Business District is.

summary(busmap$MRTEXIT_COUNT)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
 0.0000  0.0000  0.0000  0.6715  0.0000 13.0000 
tmap_mode("plot")
  tm_shape(mpsz3414) +
  tm_fill() +
  tm_shape(busmap)+
  tm_polygons("MRTEXIT_COUNT", title="Number of MRT Exits Per Hex") +
  tm_layout(main.title = " Distribution of MRT Exits",
            main.title.position = "center",
            main.title.size = 1,
            legend.height = 0.35, 
            legend.width = 0.35,
            legend.outside = FALSE,
            legend.position = c("right", "bottom"),
            frame = FALSE) 

datatable(busmap %>% 
  select(grid_id,MRTEXIT_COUNT) %>%
  arrange(desc(busmap$MRTEXIT_COUNT)))

We see that the hexagons in the southern part of Singapore have higher concentrations of MRT station exits. This could be due to many of these stations are interchanges (e.g. Raffles Place, City Hall) or the possibility of many MRT stations in the same grid, hence leading to a higher number of MRT exits. The high number of MRT exits is also an indication of the accessibility of the hexagon. Assuming that there are attractive factors in that hexagon, we foresee that these highly accessible hexagons would have high volume of passenger trips.

summary(hdb_res_sf$total_dwelling_units)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
    1.0    79.0   100.0   107.1   130.0   584.0 
  tm_shape(mpsz3414) +
  tm_fill() +
  tm_shape(busmap)+
  tm_polygons() +
  tm_shape(hdb_res_hex) + 
  tm_dots("total_dwelling_units")

datatable(var_grid %>% 
  select(grid_id,DWELLINGS) %>%
  arrange(desc(var_grid$DWELLINGS)))

The distribution of the HDB Residential Dwellings is aligned with the HDB Estates in Singapore. These residential areas could be an origin/ propulsive factor for Weekday Morning Peak Hours because commuters would be leaving the residential estates (with relatively low business , financial Services) to go to places with higher concentrations of businesses, financial services.

4 Creating O-D Matrix

To visualise the commuter flows from origin busstops to destination busstops, we need to create an Origin-Destination (O-D) Matrix.

Let us import the data the we need for this section first.

Show the code 
odbus_WDMP <- read_rds("data/rds/odbus_WDMP.rds")
var_grid<- read_rds("data/rds/var_grid.rds")
bs_mpsz_hex <- read_rds("data/rds/bs_mpsz_hex.rds")

We will convert the bs_mpsz_hex (an sf dataframe) to a tibble dataframe using st_drop_geometry() so that we can join it with a tibble dataframe in subsequent steps.

Show the code 
busstop_hex_df <- bs_mpsz_hex %>%
  st_drop_geometry() %>%
  select(grid_id, BUS_STOP_N)

glimpse(busstop_hex_df)
Rows: 5,156
Columns: 2
$ grid_id    <int> 23, 44, 46, 46, 66, 67, 67, 67, 67, 68, 86, 87, 88, 88, 88,…
$ BUS_STOP_N <chr> "25059", "25751", "26379", "26369", "25741", "26399", "2638…

We will convert the grid_id and BUS_STOP_N from integer(grid_id) and character(BUS_STOP_N) into factors so that they have a consistent data type to join with the corresponding columns of the other dataframe in subsequent steps.

Show the code 
busstop_hex_df$grid_id <- as.factor(busstop_hex_df$grid_id)
busstop_hex_df$BUS_STOP_N <- as.factor(busstop_hex_df$BUS_STOP_N)
glimpse(busstop_hex_df)
Rows: 5,156
Columns: 2
$ grid_id    <fct> 23, 44, 46, 46, 66, 67, 67, 67, 67, 68, 86, 87, 88, 88, 88,…
$ BUS_STOP_N <fct> 25059, 25751, 26379, 26369, 25741, 26399, 26389, 25719, 257…

We will write it into an rds file for later use.

Show the code 
write_rds(busstop_hex_df, "data/rds/busstop_hex_df.rds")

Next, we will join the passenger trips from odbus_WDMP with the busstop_hex_df. This will give us half of the O-D Matrix: you will see that the origin bus stops are now mapped with a corresponding origin grid.

Show the code 
od_data <- left_join(odbus_WDMP, busstop_hex_df,
                     by = c("ORIGIN_PT_CODE" = "BUS_STOP_N")) %>%
  rename(ORIGIN_BS = ORIGIN_PT_CODE,
         ORIGIN_GRID = grid_id,
         DESTIN_BS = DESTINATION_PT_CODE)

glimpse(od_data)
Rows: 242,944
Columns: 4
Groups: ORIGIN_BS [5,029]
$ ORIGIN_BS   <fct> 01012, 01012, 01012, 01012, 01012, 01012, 01012, 01012, 01…
$ DESTIN_BS   <fct> 01112, 01113, 01121, 01211, 01311, 07371, 60011, 60021, 60…
$ TRIPS       <dbl> 290, 118, 77, 118, 165, 14, 30, 16, 35, 26, 2, 8, 1, 2, 2,…
$ ORIGIN_GRID <fct> 1474, 1474, 1474, 1474, 1474, 1474, 1474, 1474, 1474, 1474…

Before we proceed, we use the following code chunk to check for duplicate data.

Show the code 
duplicate <- od_data %>%
  group_by_all() %>%
  filter(n()>1) %>%
  ungroup()

glimpse(duplicate)
Rows: 894
Columns: 4
$ ORIGIN_BS   <fct> 11009, 11009, 11009, 11009, 11009, 11009, 11009, 11009, 11…
$ DESTIN_BS   <fct> 01341, 01341, 01411, 01411, 01421, 01421, 01511, 01511, 01…
$ TRIPS       <dbl> 1, 1, 4, 4, 17, 17, 19, 19, 2, 2, 1, 1, 11, 11, 24, 24, 1,…
$ ORIGIN_GRID <fct> 1097, 1097, 1097, 1097, 1097, 1097, 1097, 1097, 1097, 1097…

From the above output,we see that there are 894 duplicate data. So we will use the following code chunk to remove the duplicates.

Show the code 
od_data <- unique(od_data)

We will use the following code chunk to confirm that there are no more duplicates.

Show the code 
duplicate1 <- od_data %>%
  group_by_all() %>%
  filter(n()>1) %>%
  ungroup()

duplicate1
# A tibble: 0 × 4
# ℹ 4 variables: ORIGIN_BS <fct>, DESTIN_BS <fct>, TRIPS <dbl>,
#   ORIGIN_GRID <fct>

We will continue to join the od_data with busstop_hex_df to derive the grid_id of the destination bus stops.

Show the code 
od_data <- left_join(od_data, busstop_hex_df,
                     by = c("DESTIN_BS" = "BUS_STOP_N"))

Before we proceed, we use the following code chunk to check for duplicate data.

Show the code 
duplicate <- od_data %>%
  group_by_all() %>%
  filter(n()>1) %>%
  ungroup()

glimpse(duplicate)
Rows: 794
Columns: 5
$ ORIGIN_BS   <fct> 01013, 01013, 01112, 01112, 01121, 01121, 01239, 01239, 01…
$ DESTIN_BS   <fct> 51071, 51071, 51071, 51071, 51071, 51071, 51071, 51071, 51…
$ TRIPS       <dbl> 2, 2, 66, 66, 8, 8, 24, 24, 21, 21, 4, 4, 3, 3, 1, 1, 5, 5…
$ ORIGIN_GRID <fct> 1474, 1474, 1496, 1496, 1538, 1538, 1538, 1538, 1559, 1559…
$ grid_id     <fct> 1394, 1394, 1394, 1394, 1394, 1394, 1394, 1394, 1394, 1394…

From the above output,we see that there are 794 duplicate data. So we will use the following code chunk to remove the duplicates.

Show the code 
od_data <- unique(od_data)

We use the following code chunk to confirm that there are no more duplicates.

Show the code 
duplicate1 <- od_data %>%
  group_by_all() %>%
  filter(n()>1) %>%
  ungroup()

duplicate1
# A tibble: 0 × 5
# ℹ 5 variables: ORIGIN_BS <fct>, DESTIN_BS <fct>, TRIPS <dbl>,
#   ORIGIN_GRID <fct>, grid_id <fct>

Currently, the passenger trips are from origin bus stops to destination bus stops. However for this exercise, we are interested in the trips from one hexagon to another hexagon. Hence, we will use the following code chunk to summarise the passenger trips by origin hexagon grid and destination hexagon grid.

Show the code 
od_data <- od_data %>%
  rename(DESTIN_GRID = grid_id) %>%
  drop_na() %>%
  group_by(ORIGIN_GRID, DESTIN_GRID) %>%
  summarise(MORNING_PEAK = sum(TRIPS))

glimpse(od_data)
Rows: 65,736
Columns: 3
Groups: ORIGIN_GRID [814]
$ ORIGIN_GRID  <fct> 23, 23, 23, 23, 23, 23, 44, 44, 44, 44, 44, 44, 44, 44, 4…
$ DESTIN_GRID  <fct> 67, 87, 128, 154, 175, 176, 23, 67, 86, 88, 128, 150, 154…
$ MORNING_PEAK <dbl> 1, 1, 4, 3, 93, 1, 1, 2, 1, 2, 3, 1, 2, 40, 1, 1, 3, 2, 2…
Show the code 
write_rds(od_data, "data/rds/od_data.rds")

5 Geovisualisation of OD flows

5.1 Import OD Matrix and Hexagon Grid

First we will import the O-D Matrix.

od_data <- read_rds("data/rds/od_data.rds")

As we are not plotting intra-zonal flows, the following code chunk removes the intra-zonal flows.

Show the code 
od_data1 <- od_data[od_data$ORIGIN_GRID != od_data$DESTIN_GRID,]

head(od_data1)
# A tibble: 6 × 3
# Groups:   ORIGIN_GRID [1]
  ORIGIN_GRID DESTIN_GRID MORNING_PEAK
  <fct>       <fct>              <dbl>
1 23          67                     1
2 23          87                     1
3 23          128                    4
4 23          154                    3
5 23          175                   93
6 23          176                    1

We will also import busmap_grid using the following code chunk to get all the hexagons containing busstops and their grid ids. This will be needed for subsequent visualisation.

Show the code 
busmap_grid <- read_rds("data/rds/busmap_grid.rds")
glimpse(busmap_grid)
Rows: 834
Columns: 3
$ grid_id  <int> 23, 44, 46, 66, 67, 68, 86, 87, 88, 89, 90, 109, 110, 111, 11…
$ BS_COUNT <int> 1, 1, 2, 1, 4, 1, 1, 1, 4, 2, 1, 3, 2, 5, 2, 1, 1, 5, 3, 6, 7…
$ hex_grid <POLYGON [m]> POLYGON ((3970.122 27348.13..., POLYGON ((4345.122 27…

5.2 Creating desire lines

In this code chunk below, od2line() of stplanr package is used to create the desire lines.

Show the code 
flowline <- od2line(flow=od_data1, 
                    zones = busmap_grid,
                    zone_code = "grid_id")

glimpse(flowline)
Rows: 65,111
Columns: 4
$ ORIGIN_GRID  <fct> 23, 23, 23, 23, 23, 23, 44, 44, 44, 44, 44, 44, 44, 44, 4…
$ DESTIN_GRID  <fct> 67, 87, 128, 154, 175, 176, 23, 67, 86, 88, 128, 150, 154…
$ MORNING_PEAK <dbl> 1, 1, 4, 3, 93, 1, 1, 2, 1, 2, 3, 1, 2, 40, 1, 1, 3, 2, 2…
$ geometry     <LINESTRING [m]> LINESTRING (3970.122 27781...., LINESTRING (39…

Let us take a look at the summary statistics of the morning peak trips using summary().

Show the code 
summary(flowline$MORNING_PEAK)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
    1.0     7.0    38.0   372.7   175.0 77433.0

From the above output, we see that the range of morning peak trips is wide. The number of trips can be as low as 1 and as high as more than 70,000.

Given the wide range, let us break the morning peak trips into the various quantiles from 10th to the 100th quantile.

Show the code 
quantile(flowline$MORNING_PEAK, probs = seq(.1, 1, by =.05))
  10%   15%   20%   25%   30%   35%   40%   45%   50%   55%   60%   65%   70% 
    2     3     5     7    11    15    21    28    38    51    67    91   125 
  75%   80%   85%   90%   95%  100% 
  175   254   391   661  1411 77433

Let us plot out the flowlines from the 99th percentile onwards since even the range between 95th percentile and 100th percentile is wide.

Show the code 
quantile(flowline$MORNING_PEAK, probs = 0.99)
   99% 
6078.7

We will use this output to filter out the trips’ flowlines to plot out.

tm_shape(mpsz3414) +
  tm_polygons() + 
tm_shape(busmap_grid) +
  tm_polygons("BS_COUNT") + 
  flowline %>%
  filter(MORNING_PEAK >= 6081) %>%
  tm_shape() + 
  tm_lines(lwd = "MORNING_PEAK",
           style = "quantile",
           scale = c(0.1, 1, 3, 5, 7, 10),
           n = 6,
           alpha = 0.5)+
    tm_layout(main.title = "Flow for Passenger Volume at 99th Percentile and Above",
            main.title.size = 0.9,
            main.title.position = "center")

flowline_99 <- flowline %>%
  filter(flowline$MORNING_PEAK >= 6081)

datatable(flowline_99)

However, even with plotting the flowlines at the 99th percentile and above does not result in very clear flow lines.

Let us visualise the distribution of the trips from the 99th percentile and above using a histogram.

Show the code 
ggplot(flowline_99, aes(x=MORNING_PEAK))+
  geom_histogram(binwidth = 2000, alpha=0.9)

From the above output, we see that the distribution of morning peak commuter flow is still highly skewed with a wide range at 99th percentile and above. The number of trips at the 99th percentile and above range from 6000+ trips to more than 60,000 trips.

We will use the summary statistics to see how we can further divide the trips to plot a clearer OD flow.

Show the code 
summary(flowline_99$MORNING_PEAK)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
   6082    7501    9504   13746   16086   77433
Show the code 
tmap_mode("view")

tm_shape(busmap_grid) +
  tm_polygons("BS_COUNT") + 
  flowline %>%
  filter(MORNING_PEAK >= 16114) %>%
  tm_shape() + 
  tm_lines(lwd = "MORNING_PEAK",
           style = "quantile",
           scale = c(0.1, 1, 3, 5, 7, 10),
           n = 6,
           alpha = 0.5)+
    tm_layout(main.title = "Flow for Passenger Volume more than 16114 trips",
            main.title.size = 0.9,
            main.title.position = "center")
Show the code 
flowline_16114 <- flowline %>%
  filter(flowline$MORNING_PEAK >= 16114)

datatable(flowline_16114)

From the above datatable, we can find out that the most number of trips came from commuters moving from grid 1004 to 1108 situated in the northern part of Singapore. A check using the grid number and the bs_mpsz_hex dataframe tells us that 1004 contains Woodlands West and 1108 contains Woodlands Regional Centre. Comparing the bus stops between these 2 hexagons, 1004 has 10 bus stops while 1108 has 14, which seem to be comparable. However, 1108 has MRT exits while 1004 has none. This could mean that the high trip volume was generated by people taking feeder bus services to reach the MRT station.

The second highest volume came from grid 853 and 832 situated in the western part of Singapore. Grid 853 contains Yew Tee while Grid 832 contains Choa Chu Kang North subzone. Comparing the variables between these 2 grids, we observed that grid 832 has MRT exits while grid 853 has no MRT exits. Again,this could mean that the high trip volume was generated by people taking feeder bus services to reach the MRT station.

The third highest volumn came from grid 983 and 939 situated in the northern part of Singapore. A check using the grid number and the bs_mpsz_hex dataframe tells us that 983 contains North Coast subzone and 939 contains Kranji Subzone. Grid 983 has only 1 bus stop while grid 939 has 4 bus stops and 4 MRT exits in it. In addition, I did a search using the Internet on the exact location of North Coast subzone shows us that it is located very near the Woodlands Checkpoint. Hence, this area might have high commuter flows from Malaysians who travel to Singapore to work everyday who take the bus to transfer to the MRT station located within grid 939 to continue with their journey to work.

6 Computing Distance Matrix

In spatial interaction, a distance matrix is a table that shows the distance between pairs of locations. We will compute a distance matrix using the busmap_grid.

6.1 Importing the Data

First, we will import od_data and the busmap_grid first.

Show the code 
od_data <- read_rds("data/rds/od_data.rds")
busmap_grid <- read_rds("data/rds/busmap_grid.rds")

Let us check at the imported data.

glimpse(busmap_grid)
Rows: 834
Columns: 3
$ grid_id  <int> 23, 44, 46, 66, 67, 68, 86, 87, 88, 89, 90, 109, 110, 111, 11…
$ BS_COUNT <int> 1, 1, 2, 1, 4, 1, 1, 1, 4, 2, 1, 3, 2, 5, 2, 1, 1, 5, 3, 6, 7…
$ hex_grid <POLYGON [m]> POLYGON ((3970.122 27348.13..., POLYGON ((4345.122 27…
glimpse(od_data)
Rows: 65,736
Columns: 3
Groups: ORIGIN_GRID [814]
$ ORIGIN_GRID  <fct> 23, 23, 23, 23, 23, 23, 44, 44, 44, 44, 44, 44, 44, 44, 4…
$ DESTIN_GRID  <fct> 67, 87, 128, 154, 175, 176, 23, 67, 86, 88, 128, 150, 154…
$ MORNING_PEAK <dbl> 1, 1, 4, 3, 93, 1, 1, 2, 1, 2, 3, 1, 2, 40, 1, 1, 3, 2, 2…

6.2 Creating Spatial Polygons Dataframe

We will use as.Spatial() to convert busmap_grid from sf tibble dataframe to Spatial Polygons Dataframe using sp package.

Show the code 
busmap_sp <- as(busmap_grid, "Spatial")
busmap_sp
class       : SpatialPolygonsDataFrame 
features    : 834 
extent      : 3595.122, 48595.12, 26049.09, 53545.39  (xmin, xmax, ymin, ymax)
crs         : +proj=tmerc +lat_0=1.36666666666667 +lon_0=103.833333333333 +k=1 +x_0=28001.642 +y_0=38744.572 +ellps=WGS84 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs 
variables   : 2
names       : grid_id, BS_COUNT 
min values  :      23,        1 
max values  :    2505,       19

Then we will use the spDist() function of sp package to compute the Euclidean distance between the centroids of the hexagons.

Show the code 
DIST <- spDists(busmap_sp, 
                longlat = FALSE)

head(DIST, n=c(10,10))
          [,1]     [,2]     [,3]     [,4]     [,5]     [,6]     [,7]     [,8]
 [1,]    0.000  750.000 3269.174 1500.000 2704.163 3968.627 1299.038 2250.000
 [2,]  750.000    0.000 2598.076  750.000 1984.313 3269.174  750.000 1500.000
 [3,] 3269.174 2598.076    0.000 1984.313  750.000  750.000 2704.163 1500.000
 [4,] 1500.000  750.000 1984.313    0.000 1299.038 2598.076  750.000  750.000
 [5,] 2704.163 1984.313  750.000 1299.038    0.000 1299.038 1984.313  750.000
 [6,] 3968.627 3269.174  750.000 2598.076 1299.038    0.000 3269.174 1984.313
 [7,] 1299.038  750.000 2704.163  750.000 1984.313 3269.174    0.000 1299.038
 [8,] 2250.000 1500.000 1500.000  750.000  750.000 1984.313 1299.038    0.000
 [9,] 3436.932 2704.163  750.000 1984.313  750.000  750.000 2598.076 1299.038
[10,] 4683.748 3968.627 1500.000 3269.174 1984.313  750.000 3897.114 2598.076
          [,9]    [,10]
 [1,] 3436.932 4683.748
 [2,] 2704.163 3968.627
 [3,]  750.000 1500.000
 [4,] 1984.313 3269.174
 [5,]  750.000 1984.313
 [6,]  750.000  750.000
 [7,] 2598.076 3897.114
 [8,] 1299.038 2598.076
 [9,]    0.000 1299.038
[10,] 1299.038    0.000

6.3 Labeling Column and Row Headers of Distance Matrix

To label the column and row headers of the distance matrix DIST, we will first create a list sorted according to the distance matrix by grid_id.

Show the code 
hex_grid_id <- busmap_grid$grid_id

Then, we will attach the grid_id to the rows and columns of the distance matrix.

Show the code 
colnames(DIST) <- paste0(hex_grid_id)
rownames(DIST) <- paste0(hex_grid_id)

head(DIST, n=c(10,10))
         23       44       46       66       67       68       86       87
23    0.000  750.000 3269.174 1500.000 2704.163 3968.627 1299.038 2250.000
44  750.000    0.000 2598.076  750.000 1984.313 3269.174  750.000 1500.000
46 3269.174 2598.076    0.000 1984.313  750.000  750.000 2704.163 1500.000
66 1500.000  750.000 1984.313    0.000 1299.038 2598.076  750.000  750.000
67 2704.163 1984.313  750.000 1299.038    0.000 1299.038 1984.313  750.000
68 3968.627 3269.174  750.000 2598.076 1299.038    0.000 3269.174 1984.313
86 1299.038  750.000 2704.163  750.000 1984.313 3269.174    0.000 1299.038
87 2250.000 1500.000 1500.000  750.000  750.000 1984.313 1299.038    0.000
88 3436.932 2704.163  750.000 1984.313  750.000  750.000 2598.076 1299.038
89 4683.748 3968.627 1500.000 3269.174 1984.313  750.000 3897.114 2598.076
         88       89
23 3436.932 4683.748
44 2704.163 3968.627
46  750.000 1500.000
66 1984.313 3269.174
67  750.000 1984.313
68  750.000  750.000
86 2598.076 3897.114
87 1299.038 2598.076
88    0.000 1299.038
89 1299.038    0.000

6.4 Pivoting Distance Value by Grid_ID

We will then pivot the distance matrix into a long table using the row and column grid_id as shown in the following code chunk.

Show the code 
distpair <- melt(DIST) %>%
  rename(DISTANCE = value)

head(distpair, 10)
   Var1 Var2 DISTANCE
1    23   23    0.000
2    44   23  750.000
3    46   23 3269.174
4    66   23 1500.000
5    67   23 2704.163
6    68   23 3968.627
7    86   23 1299.038
8    87   23 2250.000
9    88   23 3436.932
10   89   23 4683.748

Notice that the within zone distance is 0.

6.5 Updating Intra-zonal Distances

To append a constant value to replace the intra-zonal distance of 0, we will select and find out the minimum value of the distance using summary().

Show the code 
distpair %>%
  filter(DISTANCE > 0) %>%
  summary()
      Var1           Var2         DISTANCE    
 Min.   :  23   Min.   :  23   Min.   :  750  
 1st Qu.: 871   1st Qu.: 871   1st Qu.: 8352  
 Median :1324   Median :1324   Median :13332  
 Mean   :1269   Mean   :1269   Mean   :14162  
 3rd Qu.:1688   3rd Qu.:1688   3rd Qu.:18929  
 Max.   :2505   Max.   :2505   Max.   :44680

Next, we add a constant value of 300m, which is less than the minimum distance of 750m (from the above output) into intra-zones distance.

Show the code 
distpair$DISTANCE <- ifelse(distpair$DISTANCE == 0,
                            300, distpair$DISTANCE)

distpair %>%
  summary()
      Var1           Var2         DISTANCE    
 Min.   :  23   Min.   :  23   Min.   :  300  
 1st Qu.: 871   1st Qu.: 871   1st Qu.: 8250  
 Median :1324   Median :1324   Median :13332  
 Mean   :1269   Mean   :1269   Mean   :14145  
 3rd Qu.:1688   3rd Qu.:1688   3rd Qu.:18929  
 Max.   :2505   Max.   :2505   Max.   :44680

We use the following code chunk to rename the origin and destination fields.

Show the code 
distpair <- distpair %>%
  rename(orig = Var1,
         dest = Var2)

We will save the dataframe for future use.

write_rds(distpair, "data/rds/distpair.rds")

7 Preparing Flow Data

We will compute the total passenger trips between and within grid_ids by using the code chunk below. The output will have both intra and inter-grid flow data.

Show the code 
flow_data <- od_data %>%
  rename(TRIPS = MORNING_PEAK )

head(flow_data, 10)
# A tibble: 10 × 3
# Groups:   ORIGIN_GRID [2]
   ORIGIN_GRID DESTIN_GRID TRIPS
   <fct>       <fct>       <dbl>
 1 23          67              1
 2 23          87              1
 3 23          128             4
 4 23          154             3
 5 23          175            93
 6 23          176             1
 7 44          23              1
 8 44          67              2
 9 44          86              1
10 44          88              2

Code chunk below is used to add three new fields in flow_data dataframe.

Show the code 
flow_data$FlowNoIntra <- ifelse(
  flow_data$ORIGIN_GRID == flow_data$DESTIN_GRID, 
  0, flow_data$TRIPS)
flow_data$offset <- ifelse(
  flow_data$ORIGIN_GRID == flow_data$DESTIN_GRID, 
  0.000001, 1)

glimpse(flow_data)
Rows: 65,736
Columns: 5
Groups: ORIGIN_GRID [814]
$ ORIGIN_GRID <fct> 23, 23, 23, 23, 23, 23, 44, 44, 44, 44, 44, 44, 44, 44, 46…
$ DESTIN_GRID <fct> 67, 87, 128, 154, 175, 176, 23, 67, 86, 88, 128, 150, 154,…
$ TRIPS       <dbl> 1, 1, 4, 3, 93, 1, 1, 2, 1, 2, 3, 1, 2, 40, 1, 1, 3, 2, 2,…
$ FlowNoIntra <dbl> 1, 1, 4, 3, 93, 1, 1, 2, 1, 2, 3, 1, 2, 40, 1, 1, 3, 2, 2,…
$ offset      <dbl> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1…

Before we join the flow_data and dispair data, let us take a look at the distpair data.

Show the code 
glimpse(distpair)
Rows: 695,556
Columns: 3
$ orig     <int> 23, 44, 46, 66, 67, 68, 86, 87, 88, 89, 90, 109, 110, 111, 11…
$ dest     <int> 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 2…
$ DISTANCE <dbl> 300.000, 750.000, 3269.174, 1500.000, 2704.163, 3968.627, 129…

We need to convert the data value type of orgi and dest fields of distpair dataframe into factor data type. Otherwise, we would not be able to perform the left join.

Show the code 
distpair$orig <- as.factor(distpair$orig)
distpair$dest <- as.factor(distpair$dest)

glimpse(distpair)
Rows: 695,556
Columns: 3
$ orig     <fct> 23, 44, 46, 66, 67, 68, 86, 87, 88, 89, 90, 109, 110, 111, 11…
$ dest     <fct> 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 2…
$ DISTANCE <dbl> 300.000, 750.000, 3269.174, 1500.000, 2704.163, 3968.627, 129…

Now, left_join() of dplyr will be used to flow_data dataframe and distPair dataframe. The output is called flow_data1. This will give us the number of trips and the distance between grids. The trips and distance variables will be needed when we build and calibrate our spatial interaction models in the subsequent sections.

Show the code 
flow_data1 <- flow_data %>%
  left_join (distpair,
             by = c("ORIGIN_GRID" = "orig",
                    "DESTIN_GRID" = "dest"))
glimpse(flow_data1)
Rows: 65,736
Columns: 6
Groups: ORIGIN_GRID [814]
$ ORIGIN_GRID <fct> 23, 23, 23, 23, 23, 23, 44, 44, 44, 44, 44, 44, 44, 44, 46…
$ DESTIN_GRID <fct> 67, 87, 128, 154, 175, 176, 23, 67, 86, 88, 128, 150, 154,…
$ TRIPS       <dbl> 1, 1, 4, 3, 93, 1, 1, 2, 1, 2, 3, 1, 2, 40, 1, 1, 3, 2, 2,…
$ FlowNoIntra <dbl> 1, 1, 4, 3, 93, 1, 1, 2, 1, 2, 3, 1, 2, 40, 1, 1, 3, 2, 2,…
$ offset      <dbl> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1…
$ DISTANCE    <dbl> 2704.163, 2250.000, 1984.313, 6873.864, 7611.669, 8842.370…

8 Preparing Origin and Destination Attributes

We will now prepare the Origin and Destination attributes, which are the propulsive and attractive factors for the origins and destinations. These factors will be used to build and calibrate the Spatial Interaction Models. These factors can be used to explain why certain hexagons have more trips and even use to predict trips volumes.

8.1 Importing the Factors

var_grid<- read_rds("data/rds/var_grid.rds")
glimpse(var_grid)
Rows: 834
Columns: 7
$ grid_id       <fct> 23, 44, 46, 66, 67, 68, 86, 87, 88, 89, 90, 109, 110, 11…
$ BS_COUNT      <int> 1, 1, 2, 1, 4, 1, 1, 1, 4, 2, 1, 3, 2, 5, 2, 1, 1, 5, 3,…
$ BIZ_COUNT     <int> 0, 5, 4, 1, 50, 27, 3, 3, 66, 52, 4, 10, 23, 41, 2, 6, 1…
$ FINSERV_COUNT <int> 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ DWELLINGS     <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…

8.2 Preparing Origin Attributes

flow_data2 <- flow_data1 %>%
  left_join(var_grid, by = c(ORIGIN_GRID = "grid_id")) %>%
  rename(ORIGIN_BS_COUNT = BS_COUNT,
         ORIGIN_BIZ_COUNT = BIZ_COUNT,
         ORIGIN_FINSERV_COUNT = FINSERV_COUNT,
         ORIGIN_MRTEXIT_COUNT = MRTEXIT_COUNT,
         ORIGIN_SCHOOLS_COUNT = SCHOOLS_COUNT,
         ORIGIN_DWELLINGS = DWELLINGS)

glimpse(flow_data2)
Rows: 65,736
Columns: 12
Groups: ORIGIN_GRID [814]
$ ORIGIN_GRID          <fct> 23, 23, 23, 23, 23, 23, 44, 44, 44, 44, 44, 44, 4…
$ DESTIN_GRID          <fct> 67, 87, 128, 154, 175, 176, 23, 67, 86, 88, 128, …
$ TRIPS                <dbl> 1, 1, 4, 3, 93, 1, 1, 2, 1, 2, 3, 1, 2, 40, 1, 1,…
$ FlowNoIntra          <dbl> 1, 1, 4, 3, 93, 1, 1, 2, 1, 2, 3, 1, 2, 40, 1, 1,…
$ offset               <dbl> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1…
$ DISTANCE             <dbl> 2704.163, 2250.000, 1984.313, 6873.864, 7611.669,…
$ ORIGIN_BS_COUNT      <int> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2…
$ ORIGIN_BIZ_COUNT     <int> 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4…
$ ORIGIN_FINSERV_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ ORIGIN_MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ ORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ ORIGIN_DWELLINGS     <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…

8.3 Preparing Destination Attributes

Show the code 
flow_data2 <- flow_data2 %>%
  left_join(var_grid, by = c(DESTIN_GRID = "grid_id")) %>%
  rename(DESTIN_BS_COUNT = BS_COUNT,
         DESTIN_BIZ_COUNT = BIZ_COUNT,
         DESTIN_FINSERV_COUNT = FINSERV_COUNT,
         DESTIN_MRTEXIT_COUNT = MRTEXIT_COUNT,
         DESTIN_SCHOOLS_COUNT = SCHOOLS_COUNT,
         DESTIN_DWELLINGS = DWELLINGS)

glimpse(flow_data2)
Rows: 65,736
Columns: 18
Groups: ORIGIN_GRID [814]
$ ORIGIN_GRID          <fct> 23, 23, 23, 23, 23, 23, 44, 44, 44, 44, 44, 44, 4…
$ DESTIN_GRID          <fct> 67, 87, 128, 154, 175, 176, 23, 67, 86, 88, 128, …
$ TRIPS                <dbl> 1, 1, 4, 3, 93, 1, 1, 2, 1, 2, 3, 1, 2, 40, 1, 1,…
$ FlowNoIntra          <dbl> 1, 1, 4, 3, 93, 1, 1, 2, 1, 2, 3, 1, 2, 40, 1, 1,…
$ offset               <dbl> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1…
$ DISTANCE             <dbl> 2704.163, 2250.000, 1984.313, 6873.864, 7611.669,…
$ ORIGIN_BS_COUNT      <int> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2…
$ ORIGIN_BIZ_COUNT     <int> 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4…
$ ORIGIN_FINSERV_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ ORIGIN_MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ ORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ ORIGIN_DWELLINGS     <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ DESTIN_BS_COUNT      <int> 4, 1, 1, 8, 11, 5, 1, 4, 1, 4, 1, 2, 8, 11, 4, 4,…
$ DESTIN_BIZ_COUNT     <int> 50, 3, 6, 42, 44, 0, 0, 50, 3, 66, 6, 4, 42, 44, …
$ DESTIN_FINSERV_COUNT <int> 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0…
$ DESTIN_MRTEXIT_COUNT <int> 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0…
$ DESTIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ DESTIN_DWELLINGS     <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…

We will save flow_data2 in rds format. This data will be used to build and calibrate spatial interaction models in subsequent sections.

write_rds(flow_data2, "data/rds/SIM_data.rds")

9 Calibrating Spatial Interaction Models

9.1 Importing the modelling data

SIM_data <- read_rds("data/rds/SIM_data.rds")

Firstly, let us plot the distribution of the dependent variable (i.e. TRIPS) by using histogram method by using the code chunk below.

Show the code 
ggplot(data=SIM_data,
       aes(x=TRIPS)) + 
  geom_histogram()

From the output, we observe that the distribution is highly skewed and does not resemble a normal distribution.

Next, let us visualise the relation between the dependent variable and one of the key independent variable in Spatial Interaction Model, namely distance.

Show the code 
ggplot(data = SIM_data,
       aes(x = DISTANCE,
           y = TRIPS)) +
  geom_point() +
  geom_smooth(method = lm)

Again, their relationship hardly resemble linear relationship.

On the other hand, if we plot the scatter plot by using the log transformed version of both variables using the following code chunk, we can see that their relationship relatively resembles more of a linear relationship.

Show the code 
ggplot(data = SIM_data,
       aes(x = log(DISTANCE),
           y = log(TRIPS))) +
  geom_point() +
  geom_smooth(method = lm)

For Spatial Interaction Model, we will be using log transformed variables so that the relationship resembles a linear relationship and to handle the skewed distributions. We will also be using a poisson regression model because the dependent variable (Trips) cannot be negative.

Before we proceed to calibrate the spatial interaction models, we will write a function to calculate R-Squared value as shown below. The R-squared value measure how much variation of the trips can be accounted by the model.

CalcRSquared <- function(observed, estimated){
  r <- cor(observed, estimated)
  R2 <- r^2
  R2
}

We will filter out those intra-zonal flows using the FlowNoIntra column.

Show the code 
SIM_data <- SIM_data %>% 
  filter(FlowNoIntra > 0)

glimpse(SIM_data)
Rows: 65,111
Columns: 18
Groups: ORIGIN_GRID [814]
$ ORIGIN_GRID          <fct> 23, 23, 23, 23, 23, 23, 44, 44, 44, 44, 44, 44, 4…
$ DESTIN_GRID          <fct> 67, 87, 128, 154, 175, 176, 23, 67, 86, 88, 128, …
$ TRIPS                <dbl> 1, 1, 4, 3, 93, 1, 1, 2, 1, 2, 3, 1, 2, 40, 1, 1,…
$ FlowNoIntra          <dbl> 1, 1, 4, 3, 93, 1, 1, 2, 1, 2, 3, 1, 2, 40, 1, 1,…
$ offset               <dbl> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1…
$ DISTANCE             <dbl> 2704.163, 2250.000, 1984.313, 6873.864, 7611.669,…
$ ORIGIN_BS_COUNT      <int> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2…
$ ORIGIN_BIZ_COUNT     <int> 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4…
$ ORIGIN_FINSERV_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ ORIGIN_MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ ORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ ORIGIN_DWELLINGS     <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ DESTIN_BS_COUNT      <int> 4, 1, 1, 8, 11, 5, 1, 4, 1, 4, 1, 2, 8, 11, 4, 4,…
$ DESTIN_BIZ_COUNT     <int> 50, 3, 6, 42, 44, 0, 0, 50, 3, 66, 6, 4, 42, 44, …
$ DESTIN_FINSERV_COUNT <int> 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0…
$ DESTIN_MRTEXIT_COUNT <int> 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0…
$ DESTIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ DESTIN_DWELLINGS     <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…

9.2 Checking for Variables with Zero Values

Since Poisson Regression is based on log and log 0 is undefined, it is important for us to ensure that no 0 values in the explanatory variables.

In the code chunk below, summary() of Base R is used to compute the summary statistics of all variables in inter_zonal_flow data frame.

Show the code 
summary(SIM_data)
  ORIGIN_GRID     DESTIN_GRID        TRIPS          FlowNoIntra     
 1960   :  294   1474   :  354   Min.   :    1.0   Min.   :    1.0  
 1474   :  293   1452   :  335   1st Qu.:    7.0   1st Qu.:    7.0  
 1477   :  293   1516   :  324   Median :   38.0   Median :   38.0  
 1496   :  283   1494   :  296   Mean   :  372.7   Mean   :  372.7  
 1812   :  279   1477   :  295   3rd Qu.:  175.0   3rd Qu.:  175.0  
 1749   :  277   1432   :  289   Max.   :77433.0   Max.   :77433.0  
 (Other):63392   (Other):63218                                      
     offset     DISTANCE     ORIGIN_BS_COUNT  ORIGIN_BIZ_COUNT
 Min.   :1   Min.   :  750   Min.   : 1.000   Min.   : 0.000  
 1st Qu.:1   1st Qu.: 3000   1st Qu.: 5.000   1st Qu.: 0.000  
 Median :1   Median : 5408   Median : 8.000   Median : 1.000  
 Mean   :1   Mean   : 6341   Mean   : 7.909   Mean   : 6.502  
 3rd Qu.:1   3rd Qu.: 8842   3rd Qu.:10.000   3rd Qu.: 6.000  
 Max.   :1   Max.   :24784   Max.   :19.000   Max.   :97.000  
                                                              
 ORIGIN_FINSERV_COUNT ORIGIN_MRTEXIT_COUNT ORIGIN_SCHOOLS_COUNT
 Min.   :  0.000      Min.   : 0.000       Min.   :0.0000      
 1st Qu.:  1.000      1st Qu.: 0.000       1st Qu.:0.0000      
 Median :  3.000      Median : 0.000       Median :0.0000      
 Mean   :  7.907      Mean   : 1.264       Mean   :0.5583      
 3rd Qu.:  9.000      3rd Qu.: 2.000       3rd Qu.:1.0000      
 Max.   :139.000      Max.   :13.000       Max.   :4.0000      
                                                               
 ORIGIN_DWELLINGS DESTIN_BS_COUNT  DESTIN_BIZ_COUNT DESTIN_FINSERV_COUNT
 Min.   :   0     Min.   : 1.000   Min.   : 0.000   Min.   :  0.000     
 1st Qu.:   0     1st Qu.: 5.000   1st Qu.: 0.000   1st Qu.:  1.000     
 Median : 924     Median : 7.000   Median : 1.000   Median :  3.000     
 Mean   :1847     Mean   : 7.794   Mean   : 7.298   Mean   :  8.618     
 3rd Qu.:3351     3rd Qu.:10.000   3rd Qu.: 6.000   3rd Qu.:  9.000     
 Max.   :7946     Max.   :19.000   Max.   :97.000   Max.   :139.000     
                                                                        
 DESTIN_MRTEXIT_COUNT DESTIN_SCHOOLS_COUNT DESTIN_DWELLINGS
 Min.   : 0.00        Min.   :0.0000       Min.   :   0    
 1st Qu.: 0.00        1st Qu.:0.0000       1st Qu.:   0    
 Median : 0.00        Median :0.0000       Median : 822    
 Mean   : 1.36        Mean   :0.5254       Mean   :1729    
 3rd Qu.: 2.00        3rd Qu.:1.0000       3rd Qu.:3124    
 Max.   :13.00        Max.   :4.0000       Max.   :7946

The print report above reveals that variables ORIGIN_BIZ_COUNT, ORIGIN_FINSERV_COUNT,ORIGIN_MRTEXIT_COUNT, ORIGIN_SCHOOLS_COUNT, ORIGIN_DWELLINGS, DESTIN_BIZ_COUNT, DESTIN_FINSERV_COUNT, DESTIN_MRTEXIT_COUNT, DESTIN_SCHOOLS_COUNT, DESTIN_DWELLINGS consist of 0 values.

We will use the following code chunk to replace 0 values with 0.99.

Show the code 
SIM_data$ORIGIN_BIZ_COUNT <- ifelse(
  SIM_data$ORIGIN_BIZ_COUNT == 0,
  0.99, SIM_data$ORIGIN_BIZ_COUNT)

SIM_data$ORIGIN_FINSERV_COUNT <- ifelse(
  SIM_data$ORIGIN_FINSERV_COUNT == 0,
  0.99, SIM_data$ORIGIN_FINSERV_COUNT)

SIM_data$ORIGIN_MRTEXIT_COUNT <- ifelse(
  SIM_data$ORIGIN_MRTEXIT_COUNT == 0,
  0.99, SIM_data$ORIGIN_MRTEXIT_COUNT)

SIM_data$ORIGIN_SCHOOLS_COUNT <- ifelse(
  SIM_data$ORIGIN_SCHOOLS_COUNT == 0, 
  0.99, SIM_data$ORIGIN_SCHOOLS_COUNT)

SIM_data$ORIGIN_DWELLINGS <- ifelse(
  SIM_data$ORIGIN_DWELLINGS == 0,
  0.99, SIM_data$ORIGIN_DWELLINGS)

SIM_data$DESTIN_BIZ_COUNT <- ifelse(
  SIM_data$DESTIN_BIZ_COUNT == 0,
  0.99, SIM_data$DESTIN_BIZ_COUNT)

SIM_data$DESTIN_FINSERV_COUNT <- ifelse(
  SIM_data$DESTIN_FINSERV_COUNT == 0,
  0.99, SIM_data$DESTIN_FINSERV_COUNT)

SIM_data$DESTIN_MRTEXIT_COUNT <- ifelse(
  SIM_data$DESTIN_MRTEXIT_COUNT == 0,
  0.99, SIM_data$DESTIN_MRTEXIT_COUNT)

SIM_data$DESTIN_SCHOOLS_COUNT <- ifelse(
  SIM_data$DESTIN_SCHOOLS_COUNT == 0,
  0.99, SIM_data$DESTIN_SCHOOLS_COUNT)

SIM_data$DESTIN_DWELLINGS <- ifelse(
  SIM_data$DESTIN_DWELLINGS == 0,
  0.99, SIM_data$DESTIN_DWELLINGS)

We run summary() again to confirm that the 0 values have been replaced with 0.99.

Show the code 
summary(SIM_data)
  ORIGIN_GRID     DESTIN_GRID        TRIPS          FlowNoIntra     
 1960   :  294   1474   :  354   Min.   :    1.0   Min.   :    1.0  
 1474   :  293   1452   :  335   1st Qu.:    7.0   1st Qu.:    7.0  
 1477   :  293   1516   :  324   Median :   38.0   Median :   38.0  
 1496   :  283   1494   :  296   Mean   :  372.7   Mean   :  372.7  
 1812   :  279   1477   :  295   3rd Qu.:  175.0   3rd Qu.:  175.0  
 1749   :  277   1432   :  289   Max.   :77433.0   Max.   :77433.0  
 (Other):63392   (Other):63218                                      
     offset     DISTANCE     ORIGIN_BS_COUNT  ORIGIN_BIZ_COUNT
 Min.   :1   Min.   :  750   Min.   : 1.000   Min.   : 0.990  
 1st Qu.:1   1st Qu.: 3000   1st Qu.: 5.000   1st Qu.: 0.990  
 Median :1   Median : 5408   Median : 8.000   Median : 1.000  
 Mean   :1   Mean   : 6341   Mean   : 7.909   Mean   : 6.947  
 3rd Qu.:1   3rd Qu.: 8842   3rd Qu.:10.000   3rd Qu.: 6.000  
 Max.   :1   Max.   :24784   Max.   :19.000   Max.   :97.000  
                                                              
 ORIGIN_FINSERV_COUNT ORIGIN_MRTEXIT_COUNT ORIGIN_SCHOOLS_COUNT
 Min.   :  0.990      Min.   : 0.990       Min.   :0.990       
 1st Qu.:  1.000      1st Qu.: 0.990       1st Qu.:0.990       
 Median :  3.000      Median : 0.990       Median :0.990       
 Mean   :  8.142      Mean   : 1.891       Mean   :1.181       
 3rd Qu.:  9.000      3rd Qu.: 2.000       3rd Qu.:1.000       
 Max.   :139.000      Max.   :13.000       Max.   :4.000       
                                                               
 ORIGIN_DWELLINGS  DESTIN_BS_COUNT  DESTIN_BIZ_COUNT DESTIN_FINSERV_COUNT
 Min.   :   0.99   Min.   : 1.000   Min.   : 0.990   Min.   :  0.990     
 1st Qu.:   0.99   1st Qu.: 5.000   1st Qu.: 0.990   1st Qu.:  1.000     
 Median : 924.00   Median : 7.000   Median : 1.000   Median :  3.000     
 Mean   :1847.48   Mean   : 7.794   Mean   : 7.726   Mean   :  8.856     
 3rd Qu.:3351.00   3rd Qu.:10.000   3rd Qu.: 6.000   3rd Qu.:  9.000     
 Max.   :7946.00   Max.   :19.000   Max.   :97.000   Max.   :139.000     
                                                                         
 DESTIN_MRTEXIT_COUNT DESTIN_SCHOOLS_COUNT DESTIN_DWELLINGS 
 Min.   : 0.99        Min.   :0.990        Min.   :   0.99  
 1st Qu.: 0.99        1st Qu.:0.990        1st Qu.:   0.99  
 Median : 0.99        Median :0.990        Median : 822.00  
 Mean   : 1.98        Mean   :1.167        Mean   :1729.42  
 3rd Qu.: 2.00        3rd Qu.:1.000        3rd Qu.:3124.00  
 Max.   :13.00        Max.   :4.000        Max.   :7946.00

9.3 Origin (Production) Constrained Spatial Interaction Model

An origin-constrained spatial interaction model estimates “where they went” using the information on how many people left a particular origin (i.e. origin grid in our case) (Haynes & Fotheringham, 1985) . This model would make use of explanatory variables that reflect characteristics of the destinations so it is useful in forecasting destination inflow totals that are unknown.

In reality, origin-constrained spatial interaction model is useful for policy makers/ transport operators when they come up with new bus routes for new housing estates because they would be able to identify areas with high demand.

The general equation for origin-constrained Spatial Interaction Model is as follow.

\[ \lambda{i}{j}= exp(k + \mu{i} + \alpha\ln W{j} - \beta \ln d{i}{j}) \]

We use glm() of Base Stats to calibrate an origin-constrained spatial interaction model. the explanatory variables are the destination related variables (such as DESTIN_BIZ_COUNT, DESTIN_FINSERV_COUNT) and the distance between the origin and destination (i.e. DISTANCE).

Note

It is important to note that -1 is added in the equation after the distance variable. The -1 serves the purpose of removing the intercept that by default, glm will insert into the model.

Show the code 
orcSIM_Poisson <- glm(formula = TRIPS ~ 
                ORIGIN_GRID +
                log(DESTIN_BS_COUNT) +
                log(DESTIN_BIZ_COUNT) +
                  log(DESTIN_FINSERV_COUNT) +
                  log(DESTIN_MRTEXIT_COUNT) +
                  log(DESTIN_SCHOOLS_COUNT) +
                  log(DESTIN_DWELLINGS ) + 
                log(DISTANCE) - 1,
              family = poisson(link = "log"),
              data = SIM_data,
              na.action = na.exclude)
summary(orcSIM_Poisson)

Call:
glm(formula = TRIPS ~ ORIGIN_GRID + log(DESTIN_BS_COUNT) + log(DESTIN_BIZ_COUNT) + 
    log(DESTIN_FINSERV_COUNT) + log(DESTIN_MRTEXIT_COUNT) + log(DESTIN_SCHOOLS_COUNT) + 
    log(DESTIN_DWELLINGS) + log(DISTANCE) - 1, family = poisson(link = "log"), 
    data = SIM_data, na.action = na.exclude)

Coefficients:
                            Estimate Std. Error   z value Pr(>|z|)    
ORIGIN_GRID23              1.495e+01  9.856e-02   151.701   <2e-16 ***
ORIGIN_GRID44              1.285e+01  1.387e-01    92.629   <2e-16 ***
ORIGIN_GRID46              1.354e+01  8.739e-02   154.912   <2e-16 ***
ORIGIN_GRID66              1.373e+01  1.250e-01   109.831   <2e-16 ***
ORIGIN_GRID67              1.563e+01  2.490e-02   627.693   <2e-16 ***
ORIGIN_GRID68              1.269e+01  1.291e-01    98.263   <2e-16 ***
ORIGIN_GRID86              1.442e+01  7.354e-02   196.067   <2e-16 ***
ORIGIN_GRID87              1.439e+01  8.114e-02   177.308   <2e-16 ***
ORIGIN_GRID88              1.619e+01  1.861e-02   870.274   <2e-16 ***
ORIGIN_GRID89              1.444e+01  4.961e-02   291.026   <2e-16 ***
ORIGIN_GRID90              1.323e+01  1.325e-01    99.849   <2e-16 ***
ORIGIN_GRID109             1.392e+01  9.904e-02   140.509   <2e-16 ***
ORIGIN_GRID110             1.498e+01  7.164e-02   209.133   <2e-16 ***
ORIGIN_GRID111             1.739e+01  1.144e-02  1520.086   <2e-16 ***
ORIGIN_GRID112             1.321e+01  6.418e-02   205.768   <2e-16 ***
ORIGIN_GRID128             1.664e+01  2.234e-02   745.129   <2e-16 ***
ORIGIN_GRID129             1.379e+01  1.890e-01    72.961   <2e-16 ***
ORIGIN_GRID130             1.386e+01  6.023e-02   230.121   <2e-16 ***
ORIGIN_GRID131             1.461e+01  3.530e-02   413.708   <2e-16 ***
ORIGIN_GRID132             1.421e+01  4.799e-02   296.022   <2e-16 ***
ORIGIN_GRID133             1.404e+01  3.775e-02   372.024   <2e-16 ***
ORIGIN_GRID134             1.638e+01  2.331e-02   702.628   <2e-16 ***
ORIGIN_GRID150             1.696e+01  1.980e-02   856.766   <2e-16 ***
ORIGIN_GRID151             1.451e+01  5.866e-02   247.363   <2e-16 ***
ORIGIN_GRID152             1.388e+01  8.113e-02   171.049   <2e-16 ***
ORIGIN_GRID153             1.439e+01  4.157e-02   346.227   <2e-16 ***
ORIGIN_GRID154             1.705e+01  9.044e-03  1884.930   <2e-16 ***
ORIGIN_GRID155             1.420e+01  3.286e-02   432.288   <2e-16 ***
ORIGIN_GRID156             1.517e+01  3.860e-02   392.933   <2e-16 ***
ORIGIN_GRID172             1.568e+01  7.584e-02   206.729   <2e-16 ***
ORIGIN_GRID174             1.435e+01  4.632e-02   309.858   <2e-16 ***
ORIGIN_GRID175             1.661e+01  1.020e-02  1629.199   <2e-16 ***
ORIGIN_GRID176             1.785e+01  6.183e-03  2887.407   <2e-16 ***
ORIGIN_GRID195             1.335e+01  8.087e-02   165.060   <2e-16 ***
ORIGIN_GRID196             1.377e+01  4.194e-02   328.309   <2e-16 ***
ORIGIN_GRID197             1.307e+01  1.098e-01   119.098   <2e-16 ***
ORIGIN_GRID215             1.394e+01  8.251e-02   168.938   <2e-16 ***
ORIGIN_GRID216             1.809e+01  5.326e-03  3397.200   <2e-16 ***
ORIGIN_GRID217             1.539e+01  2.042e-02   753.712   <2e-16 ***
ORIGIN_GRID237             1.283e+01  1.562e-01    82.150   <2e-16 ***
ORIGIN_GRID238             1.397e+01  5.108e-02   273.544   <2e-16 ***
ORIGIN_GRID239             1.319e+01  1.581e-01    83.430   <2e-16 ***
ORIGIN_GRID257             1.393e+01  5.647e-02   246.671   <2e-16 ***
ORIGIN_GRID258             1.468e+01  2.713e-02   541.098   <2e-16 ***
ORIGIN_GRID259             1.450e+01  4.032e-02   359.593   <2e-16 ***
ORIGIN_GRID278             1.507e+01  3.835e-02   392.945   <2e-16 ***
ORIGIN_GRID279             1.396e+01  4.285e-02   325.709   <2e-16 ***
ORIGIN_GRID280             1.419e+01  4.518e-02   314.103   <2e-16 ***
ORIGIN_GRID298             1.168e+01  3.333e-01    35.054   <2e-16 ***
ORIGIN_GRID299             1.391e+01  4.961e-02   280.399   <2e-16 ***
ORIGIN_GRID300             1.696e+01  8.732e-03  1941.792   <2e-16 ***
ORIGIN_GRID320             1.373e+01  6.366e-02   215.706   <2e-16 ***
ORIGIN_GRID321             1.458e+01  7.109e-02   205.023   <2e-16 ***
ORIGIN_GRID322             1.514e+01  4.673e-02   324.075   <2e-16 ***
ORIGIN_GRID340             1.559e+01  2.727e-02   571.831   <2e-16 ***
ORIGIN_GRID341             1.387e+01  4.420e-02   313.851   <2e-16 ***
ORIGIN_GRID342             1.423e+01  4.115e-02   345.846   <2e-16 ***
ORIGIN_GRID363             1.505e+01  3.697e-02   407.234   <2e-16 ***
ORIGIN_GRID364             1.521e+01  2.650e-02   573.947   <2e-16 ***
ORIGIN_GRID383             1.481e+01  3.118e-02   475.015   <2e-16 ***
ORIGIN_GRID384             1.366e+01  5.210e-02   262.226   <2e-16 ***
ORIGIN_GRID385             1.461e+01  4.602e-02   317.561   <2e-16 ***
ORIGIN_GRID404             1.530e+01  3.398e-02   450.360   <2e-16 ***
ORIGIN_GRID405             1.427e+01  4.861e-02   293.640   <2e-16 ***
ORIGIN_GRID406             1.895e+01  3.175e-03  5967.241   <2e-16 ***
ORIGIN_GRID407             1.497e+01  4.536e-02   330.084   <2e-16 ***
ORIGIN_GRID408             1.574e+01  2.275e-02   691.697   <2e-16 ***
ORIGIN_GRID425             1.303e+01  8.807e-02   147.966   <2e-16 ***
ORIGIN_GRID426             1.482e+01  2.948e-02   502.756   <2e-16 ***
ORIGIN_GRID427             1.407e+01  3.542e-02   397.240   <2e-16 ***
ORIGIN_GRID428             1.395e+01  7.788e-02   179.132   <2e-16 ***
ORIGIN_GRID429             1.582e+01  2.260e-02   699.773   <2e-16 ***
ORIGIN_GRID446             1.459e+01  5.876e-02   248.366   <2e-16 ***
ORIGIN_GRID447             1.408e+01  4.450e-02   316.295   <2e-16 ***
ORIGIN_GRID448             1.486e+01  2.785e-02   533.729   <2e-16 ***
ORIGIN_GRID449             1.778e+01  6.292e-03  2825.502   <2e-16 ***
ORIGIN_GRID450             1.568e+01  1.955e-02   802.043   <2e-16 ***
ORIGIN_GRID468             1.502e+01  2.762e-02   543.770   <2e-16 ***
ORIGIN_GRID469             1.555e+01  1.753e-02   887.342   <2e-16 ***
ORIGIN_GRID470             1.812e+01  4.764e-03  3804.111   <2e-16 ***
ORIGIN_GRID471             1.649e+01  1.601e-02  1029.920   <2e-16 ***
ORIGIN_GRID488             1.459e+01  5.739e-02   254.283   <2e-16 ***
ORIGIN_GRID489             1.189e+01  2.500e-01    47.568   <2e-16 ***
ORIGIN_GRID490             1.652e+01  1.152e-02  1434.473   <2e-16 ***
ORIGIN_GRID491             1.704e+01  7.514e-03  2268.214   <2e-16 ***
ORIGIN_GRID493             1.254e+01  1.387e-01    90.404   <2e-16 ***
ORIGIN_GRID494             1.458e+01  5.886e-02   247.717   <2e-16 ***
ORIGIN_GRID509             1.484e+01  3.375e-02   439.753   <2e-16 ***
ORIGIN_GRID510             1.512e+01  2.463e-02   613.721   <2e-16 ***
ORIGIN_GRID511             1.611e+01  1.070e-02  1505.867   <2e-16 ***
ORIGIN_GRID512             1.860e+01  3.593e-03  5175.684   <2e-16 ***
ORIGIN_GRID513             1.541e+01  2.399e-02   642.219   <2e-16 ***
ORIGIN_GRID514             1.498e+01  3.677e-02   407.445   <2e-16 ***
ORIGIN_GRID515             1.284e+01  1.374e-01    93.453   <2e-16 ***
ORIGIN_GRID530             1.391e+01  8.087e-02   171.994   <2e-16 ***
ORIGIN_GRID531             1.524e+01  2.018e-02   755.404   <2e-16 ***
ORIGIN_GRID532             1.480e+01  2.299e-02   643.621   <2e-16 ***
ORIGIN_GRID533             1.840e+01  3.630e-03  5067.676   <2e-16 ***
ORIGIN_GRID534             1.874e+01  3.952e-03  4741.792   <2e-16 ***
ORIGIN_GRID536             1.530e+01  2.505e-02   610.808   <2e-16 ***
ORIGIN_GRID537             1.302e+01  1.374e-01    94.743   <2e-16 ***
ORIGIN_GRID538             1.279e+01  2.041e-01    62.670   <2e-16 ***
ORIGIN_GRID539             1.061e+01  5.774e-01    18.371   <2e-16 ***
ORIGIN_GRID551             1.395e+01  5.395e-02   258.610   <2e-16 ***
ORIGIN_GRID552             1.573e+01  3.647e-02   431.233   <2e-16 ***
ORIGIN_GRID553             1.495e+01  1.896e-02   788.547   <2e-16 ***
ORIGIN_GRID554             1.830e+01  3.880e-03  4717.066   <2e-16 ***
ORIGIN_GRID555             1.783e+01  6.894e-03  2586.293   <2e-16 ***
ORIGIN_GRID559             1.363e+01  9.327e-02   146.114   <2e-16 ***
ORIGIN_GRID560             1.552e+01  4.735e-02   327.705   <2e-16 ***
ORIGIN_GRID572             1.174e+01  2.236e-01    52.491   <2e-16 ***
ORIGIN_GRID573             1.415e+01  4.352e-02   325.065   <2e-16 ***
ORIGIN_GRID574             1.500e+01  3.610e-02   415.455   <2e-16 ***
ORIGIN_GRID575             1.925e+01  2.751e-03  6995.792   <2e-16 ***
ORIGIN_GRID576             1.787e+01  5.030e-03  3552.226   <2e-16 ***
ORIGIN_GRID578             1.302e+01  1.072e-01   121.455   <2e-16 ***
ORIGIN_GRID582             1.324e+01  1.066e-01   124.204   <2e-16 ***
ORIGIN_GRID583             1.246e+01  1.961e-01    63.547   <2e-16 ***
ORIGIN_GRID584             1.573e+01  5.510e-02   285.403   <2e-16 ***
ORIGIN_GRID593             1.443e+01  4.949e-02   291.466   <2e-16 ***
ORIGIN_GRID594             1.520e+01  2.587e-02   587.593   <2e-16 ***
ORIGIN_GRID595             1.476e+01  1.979e-02   745.897   <2e-16 ***
ORIGIN_GRID596             1.768e+01  4.494e-03  3935.008   <2e-16 ***
ORIGIN_GRID597             1.450e+01  5.886e-02   246.313   <2e-16 ***
ORIGIN_GRID603             1.351e+01  1.085e-01   124.487   <2e-16 ***
ORIGIN_GRID604             1.188e+01  2.673e-01    44.438   <2e-16 ***
ORIGIN_GRID615             1.382e+01  4.390e-02   314.846   <2e-16 ***
ORIGIN_GRID616             1.467e+01  2.903e-02   505.337   <2e-16 ***
ORIGIN_GRID617             1.536e+01  1.739e-02   883.374   <2e-16 ***
ORIGIN_GRID618             1.822e+01  4.030e-03  4520.608   <2e-16 ***
ORIGIN_GRID620             1.507e+01  3.238e-02   465.459   <2e-16 ***
ORIGIN_GRID637             1.405e+01  3.922e-02   358.200   <2e-16 ***
ORIGIN_GRID638             1.780e+01  4.343e-03  4098.634   <2e-16 ***
ORIGIN_GRID657             1.574e+01  1.617e-02   973.549   <2e-16 ***
ORIGIN_GRID658             1.705e+01  6.450e-03  2642.568   <2e-16 ***
ORIGIN_GRID659             1.739e+01  5.516e-03  3152.833   <2e-16 ***
ORIGIN_GRID660             1.842e+01  3.568e-03  5161.137   <2e-16 ***
ORIGIN_GRID662             1.793e+01  7.202e-03  2489.669   <2e-16 ***
ORIGIN_GRID677             1.578e+01  2.241e-02   704.195   <2e-16 ***
ORIGIN_GRID678             1.369e+01  4.361e-02   313.944   <2e-16 ***
ORIGIN_GRID679             1.825e+01  3.840e-03  4752.007   <2e-16 ***
ORIGIN_GRID680             1.829e+01  3.813e-03  4796.330   <2e-16 ***
ORIGIN_GRID681             1.733e+01  8.449e-03  2050.930   <2e-16 ***
ORIGIN_GRID699             1.526e+01  2.203e-02   692.926   <2e-16 ***
ORIGIN_GRID700             1.722e+01  6.188e-03  2782.179   <2e-16 ***
ORIGIN_GRID701             1.731e+01  6.242e-03  2772.967   <2e-16 ***
ORIGIN_GRID702             1.823e+01  3.759e-03  4849.886   <2e-16 ***
ORIGIN_GRID704             1.493e+01  3.193e-02   467.408   <2e-16 ***
ORIGIN_GRID722             1.520e+01  1.789e-02   849.451   <2e-16 ***
ORIGIN_GRID725             1.419e+01  4.357e-02   325.780   <2e-16 ***
ORIGIN_GRID741             1.581e+01  1.632e-02   968.714   <2e-16 ***
ORIGIN_GRID743             1.562e+01  1.234e-02  1266.585   <2e-16 ***
ORIGIN_GRID744             1.769e+01  4.669e-03  3788.983   <2e-16 ***
ORIGIN_GRID761             1.525e+01  2.713e-02   562.340   <2e-16 ***
ORIGIN_GRID762             1.727e+01  7.076e-03  2440.239   <2e-16 ***
ORIGIN_GRID763             1.407e+01  2.760e-02   509.791   <2e-16 ***
ORIGIN_GRID764             1.812e+01  3.711e-03  4882.977   <2e-16 ***
ORIGIN_GRID765             1.711e+01  8.217e-03  2081.999   <2e-16 ***
ORIGIN_GRID767             1.870e+01  3.926e-03  4763.550   <2e-16 ***
ORIGIN_GRID772             1.376e+01  7.201e-02   191.040   <2e-16 ***
ORIGIN_GRID784             1.434e+01  2.347e-02   610.887   <2e-16 ***
ORIGIN_GRID785             1.735e+01  4.537e-03  3824.047   <2e-16 ***
ORIGIN_GRID786             1.691e+01  6.124e-03  2762.084   <2e-16 ***
ORIGIN_GRID787             1.749e+01  7.277e-03  2403.605   <2e-16 ***
ORIGIN_GRID788             1.801e+01  5.392e-03  3340.007   <2e-16 ***
ORIGIN_GRID789             1.652e+01  1.044e-02  1582.098   <2e-16 ***
ORIGIN_GRID803             1.388e+01  4.878e-02   284.512   <2e-16 ***
ORIGIN_GRID804             1.818e+01  4.329e-03  4199.048   <2e-16 ***
ORIGIN_GRID805             1.802e+01  3.713e-03  4852.708   <2e-16 ***
ORIGIN_GRID806             1.753e+01  4.519e-03  3880.120   <2e-16 ***
ORIGIN_GRID807             1.830e+01  4.423e-03  4138.058   <2e-16 ***
ORIGIN_GRID808             1.669e+01  1.092e-02  1527.653   <2e-16 ***
ORIGIN_GRID809             1.824e+01  3.740e-03  4876.374   <2e-16 ***
ORIGIN_GRID810             1.759e+01  5.612e-03  3134.819   <2e-16 ***
ORIGIN_GRID814             1.524e+01  2.751e-02   553.764   <2e-16 ***
ORIGIN_GRID824             1.446e+01  3.835e-02   377.092   <2e-16 ***
ORIGIN_GRID826             1.575e+01  1.004e-02  1569.177   <2e-16 ***
ORIGIN_GRID827             1.780e+01  4.047e-03  4397.870   <2e-16 ***
ORIGIN_GRID828             1.788e+01  3.967e-03  4506.293   <2e-16 ***
ORIGIN_GRID829             1.794e+01  4.700e-03  3817.172   <2e-16 ***
ORIGIN_GRID830             1.786e+01  5.248e-03  3403.599   <2e-16 ***
ORIGIN_GRID831             1.870e+01  3.281e-03  5700.381   <2e-16 ***
ORIGIN_GRID832             1.786e+01  6.131e-03  2913.639   <2e-16 ***
ORIGIN_GRID835             1.495e+01  2.927e-02   510.719   <2e-16 ***
ORIGIN_GRID844             1.325e+01  7.788e-02   170.134   <2e-16 ***
ORIGIN_GRID846             1.730e+01  5.362e-03  3226.846   <2e-16 ***
ORIGIN_GRID847             1.618e+01  8.942e-03  1809.004   <2e-16 ***
ORIGIN_GRID848             1.736e+01  4.944e-03  3510.380   <2e-16 ***
ORIGIN_GRID849             1.650e+01  7.853e-03  2101.100   <2e-16 ***
ORIGIN_GRID850             1.736e+01  5.526e-03  3140.685   <2e-16 ***
ORIGIN_GRID851             1.772e+01  4.343e-03  4079.047   <2e-16 ***
ORIGIN_GRID852             1.721e+01  6.081e-03  2829.827   <2e-16 ***
ORIGIN_GRID853             1.908e+01  3.845e-03  4961.161   <2e-16 ***
ORIGIN_GRID854             1.535e+01  2.586e-02   593.612   <2e-16 ***
ORIGIN_GRID855             1.426e+01  4.344e-02   328.254   <2e-16 ***
ORIGIN_GRID856             1.593e+01  1.796e-02   886.567   <2e-16 ***
ORIGIN_GRID866             1.482e+01  3.180e-02   465.990   <2e-16 ***
ORIGIN_GRID867             1.601e+01  1.186e-02  1349.933   <2e-16 ***
ORIGIN_GRID868             1.524e+01  1.766e-02   862.712   <2e-16 ***
ORIGIN_GRID869             1.791e+01  5.878e-03  3047.821   <2e-16 ***
ORIGIN_GRID870             1.837e+01  3.332e-03  5513.866   <2e-16 ***
ORIGIN_GRID871             1.788e+01  5.906e-03  3028.213   <2e-16 ***
ORIGIN_GRID872             1.598e+01  1.086e-02  1471.192   <2e-16 ***
ORIGIN_GRID873             1.613e+01  1.007e-02  1600.918   <2e-16 ***
ORIGIN_GRID874             1.651e+01  8.095e-03  2039.135   <2e-16 ***
ORIGIN_GRID875             1.343e+01  7.201e-02   186.456   <2e-16 ***
ORIGIN_GRID876             1.456e+01  3.148e-02   462.524   <2e-16 ***
ORIGIN_GRID877             1.400e+01  4.005e-02   349.635   <2e-16 ***
ORIGIN_GRID887             1.576e+01  1.338e-02  1178.215   <2e-16 ***
ORIGIN_GRID888             1.702e+01  6.928e-03  2456.406   <2e-16 ***
ORIGIN_GRID889             1.402e+01  3.387e-02   413.925   <2e-16 ***
ORIGIN_GRID890             1.795e+01  3.917e-03  4582.260   <2e-16 ***
ORIGIN_GRID891             1.671e+01  1.117e-02  1496.221   <2e-16 ***
ORIGIN_GRID893             1.778e+01  4.144e-03  4290.348   <2e-16 ***
ORIGIN_GRID894             1.592e+01  1.089e-02  1461.473   <2e-16 ***
ORIGIN_GRID895             1.564e+01  1.514e-02  1033.086   <2e-16 ***
ORIGIN_GRID896             1.513e+01  2.533e-02   597.554   <2e-16 ***
ORIGIN_GRID897             1.331e+01  6.392e-02   208.198   <2e-16 ***
ORIGIN_GRID898             1.512e+01  2.907e-02   520.031   <2e-16 ***
ORIGIN_GRID908             1.695e+01  1.189e-02  1425.287   <2e-16 ***
ORIGIN_GRID909             1.708e+01  5.718e-03  2987.183   <2e-16 ***
ORIGIN_GRID910             1.506e+01  1.716e-02   877.501   <2e-16 ***
ORIGIN_GRID911             1.637e+01  8.640e-03  1894.310   <2e-16 ***
ORIGIN_GRID912             1.762e+01  4.451e-03  3958.629   <2e-16 ***
ORIGIN_GRID915             1.769e+01  4.441e-03  3982.357   <2e-16 ***
ORIGIN_GRID917             1.720e+01  7.291e-03  2358.698   <2e-16 ***
ORIGIN_GRID918             1.415e+01  3.612e-02   391.747   <2e-16 ***
ORIGIN_GRID919             1.669e+01  8.923e-03  1870.525   <2e-16 ***
ORIGIN_GRID928             1.616e+01  1.334e-02  1212.057   <2e-16 ***
ORIGIN_GRID929             1.750e+01  4.643e-03  3768.447   <2e-16 ***
ORIGIN_GRID930             1.821e+01  3.324e-03  5479.017   <2e-16 ***
ORIGIN_GRID931             1.525e+01  1.656e-02   920.816   <2e-16 ***
ORIGIN_GRID932             1.570e+01  1.739e-02   903.077   <2e-16 ***
ORIGIN_GRID933             1.741e+01  5.620e-03  3098.599   <2e-16 ***
ORIGIN_GRID934             1.500e+01  1.714e-02   874.858   <2e-16 ***
ORIGIN_GRID935             1.851e+01  3.353e-03  5521.829   <2e-16 ***
ORIGIN_GRID938             1.208e+01  2.132e-01    56.652   <2e-16 ***
ORIGIN_GRID939             1.861e+01  3.874e-03  4805.160   <2e-16 ***
ORIGIN_GRID940             1.377e+01  6.044e-02   227.894   <2e-16 ***
ORIGIN_GRID949             1.593e+01  1.259e-02  1265.835   <2e-16 ***
ORIGIN_GRID950             1.784e+01  4.911e-03  3633.186   <2e-16 ***
ORIGIN_GRID951             1.870e+01  3.029e-03  6172.905   <2e-16 ***
ORIGIN_GRID952             1.563e+01  2.087e-02   748.982   <2e-16 ***
ORIGIN_GRID953             1.655e+01  9.327e-03  1774.235   <2e-16 ***
ORIGIN_GRID954             1.503e+01  1.656e-02   907.219   <2e-16 ***
ORIGIN_GRID955             1.722e+01  5.670e-03  3036.743   <2e-16 ***
ORIGIN_GRID956             1.566e+01  1.133e-02  1382.006   <2e-16 ***
ORIGIN_GRID957             1.761e+01  5.576e-03  3158.877   <2e-16 ***
ORIGIN_GRID959             1.451e+01  4.838e-02   299.991   <2e-16 ***
ORIGIN_GRID961             1.434e+01  2.976e-02   481.853   <2e-16 ***
ORIGIN_GRID962             9.637e+00  1.000e+00     9.637   <2e-16 ***
ORIGIN_GRID970             1.643e+01  7.905e-03  2078.122   <2e-16 ***
ORIGIN_GRID971             1.767e+01  3.949e-03  4474.076   <2e-16 ***
ORIGIN_GRID972             1.743e+01  4.795e-03  3635.448   <2e-16 ***
ORIGIN_GRID974             1.678e+01  7.286e-03  2302.758   <2e-16 ***
ORIGIN_GRID975             1.633e+01  8.803e-03  1855.281   <2e-16 ***
ORIGIN_GRID976             1.500e+01  1.667e-02   899.552   <2e-16 ***
ORIGIN_GRID977             1.808e+01  3.859e-03  4684.864   <2e-16 ***
ORIGIN_GRID978             1.768e+01  6.881e-03  2569.678   <2e-16 ***
ORIGIN_GRID982             1.561e+01  1.426e-02  1094.621   <2e-16 ***
ORIGIN_GRID983             1.974e+01  3.775e-03  5227.797   <2e-16 ***
ORIGIN_GRID991             1.633e+01  8.792e-03  1857.726   <2e-16 ***
ORIGIN_GRID992             1.674e+01  6.828e-03  2452.150   <2e-16 ***
ORIGIN_GRID993             1.637e+01  7.338e-03  2231.375   <2e-16 ***
ORIGIN_GRID994             1.582e+01  1.082e-02  1462.556   <2e-16 ***
ORIGIN_GRID995             1.718e+01  5.557e-03  3090.997   <2e-16 ***
ORIGIN_GRID996             1.670e+01  7.475e-03  2234.536   <2e-16 ***
ORIGIN_GRID997             1.511e+01  2.909e-02   519.427   <2e-16 ***
ORIGIN_GRID998             1.817e+01  4.024e-03  4514.655   <2e-16 ***
ORIGIN_GRID999             1.806e+01  5.406e-03  3340.660   <2e-16 ***
ORIGIN_GRID1001            1.552e+01  2.436e-02   637.237   <2e-16 ***
ORIGIN_GRID1003            1.811e+01  4.318e-03  4193.840   <2e-16 ***
ORIGIN_GRID1004            1.904e+01  3.261e-03  5839.509   <2e-16 ***
ORIGIN_GRID1011            1.478e+01  3.011e-02   490.904   <2e-16 ***
ORIGIN_GRID1012            1.446e+01  3.179e-02   455.004   <2e-16 ***
ORIGIN_GRID1013            1.516e+01  1.583e-02   957.914   <2e-16 ***
ORIGIN_GRID1014            1.581e+01  1.061e-02  1490.684   <2e-16 ***
ORIGIN_GRID1015            1.516e+01  1.584e-02   957.388   <2e-16 ***
ORIGIN_GRID1016            1.674e+01  7.129e-03  2348.764   <2e-16 ***
ORIGIN_GRID1018            1.709e+01  9.721e-03  1758.514   <2e-16 ***
ORIGIN_GRID1019            1.850e+01  4.693e-03  3941.697   <2e-16 ***
ORIGIN_GRID1023            1.706e+01  9.220e-03  1850.834   <2e-16 ***
ORIGIN_GRID1024            1.817e+01  4.417e-03  4114.466   <2e-16 ***
ORIGIN_GRID1025            1.377e+01  4.913e-02   280.205   <2e-16 ***
ORIGIN_GRID1033            1.585e+01  1.109e-02  1429.678   <2e-16 ***
ORIGIN_GRID1034            1.660e+01  7.157e-03  2319.855   <2e-16 ***
ORIGIN_GRID1035            1.720e+01  5.454e-03  3153.359   <2e-16 ***
ORIGIN_GRID1036            1.530e+01  1.384e-02  1105.135   <2e-16 ***
ORIGIN_GRID1037            1.650e+01  7.000e-03  2357.502   <2e-16 ***
ORIGIN_GRID1043            1.550e+01  2.466e-02   628.500   <2e-16 ***
ORIGIN_GRID1045            1.784e+01  4.520e-03  3946.390   <2e-16 ***
ORIGIN_GRID1046            1.783e+01  4.988e-03  3574.567   <2e-16 ***
ORIGIN_GRID1053            1.716e+01  5.759e-03  2979.042   <2e-16 ***
ORIGIN_GRID1054            1.636e+01  7.762e-03  2108.181   <2e-16 ***
ORIGIN_GRID1055            1.721e+01  5.238e-03  3286.762   <2e-16 ***
ORIGIN_GRID1056            1.611e+01  9.155e-03  1759.379   <2e-16 ***
ORIGIN_GRID1064            1.257e+01  2.500e-01    50.275   <2e-16 ***
ORIGIN_GRID1066            1.770e+01  5.006e-03  3535.364   <2e-16 ***
ORIGIN_GRID1067            1.783e+01  6.549e-03  2722.466   <2e-16 ***
ORIGIN_GRID1074            1.668e+01  7.562e-03  2206.398   <2e-16 ***
ORIGIN_GRID1075            1.609e+01  1.002e-02  1604.834   <2e-16 ***
ORIGIN_GRID1076            1.591e+01  8.616e-03  1846.891   <2e-16 ***
ORIGIN_GRID1077            1.593e+01  1.007e-02  1582.703   <2e-16 ***
ORIGIN_GRID1079            1.740e+01  5.163e-03  3369.759   <2e-16 ***
ORIGIN_GRID1085            1.290e+01  1.414e-01    91.219   <2e-16 ***
ORIGIN_GRID1087            1.761e+01  5.789e-03  3042.020   <2e-16 ***
ORIGIN_GRID1088            1.618e+01  1.178e-02  1372.830   <2e-16 ***
ORIGIN_GRID1094            1.474e+01  4.354e-02   338.548   <2e-16 ***
ORIGIN_GRID1095            1.443e+01  3.279e-02   440.014   <2e-16 ***
ORIGIN_GRID1096            1.569e+01  2.022e-02   775.721   <2e-16 ***
ORIGIN_GRID1097            1.772e+01  3.933e-03  4504.860   <2e-16 ***
ORIGIN_GRID1098            1.504e+01  1.796e-02   837.490   <2e-16 ***
ORIGIN_GRID1099            1.669e+01  6.821e-03  2446.221   <2e-16 ***
ORIGIN_GRID1105            1.445e+01  6.124e-02   235.889   <2e-16 ***
ORIGIN_GRID1106            1.349e+01  9.169e-02   147.071   <2e-16 ***
ORIGIN_GRID1107            1.530e+01  2.740e-02   558.535   <2e-16 ***
ORIGIN_GRID1108            1.928e+01  2.834e-03  6802.662   <2e-16 ***
ORIGIN_GRID1109            1.693e+01  1.014e-02  1669.794   <2e-16 ***
ORIGIN_GRID1116            1.646e+01  8.446e-03  1948.654   <2e-16 ***
ORIGIN_GRID1117            1.477e+01  1.738e-02   849.774   <2e-16 ***
ORIGIN_GRID1118            1.480e+01  1.902e-02   778.153   <2e-16 ***
ORIGIN_GRID1119            1.582e+01  9.677e-03  1634.903   <2e-16 ***
ORIGIN_GRID1120            1.567e+01  1.306e-02  1199.077   <2e-16 ***
ORIGIN_GRID1129            1.800e+01  4.731e-03  3803.317   <2e-16 ***
ORIGIN_GRID1130            1.825e+01  4.061e-03  4494.731   <2e-16 ***
ORIGIN_GRID1131            1.708e+01  1.004e-02  1701.205   <2e-16 ***
ORIGIN_GRID1136            1.523e+01  1.524e-02   999.058   <2e-16 ***
ORIGIN_GRID1138            1.422e+01  2.849e-02   499.146   <2e-16 ***
ORIGIN_GRID1139            1.689e+01  5.293e-03  3191.661   <2e-16 ***
ORIGIN_GRID1141            1.686e+01  6.380e-03  2642.778   <2e-16 ***
ORIGIN_GRID1148            1.465e+01  5.162e-02   283.808   <2e-16 ***
ORIGIN_GRID1149            1.589e+01  1.718e-02   925.008   <2e-16 ***
ORIGIN_GRID1150            1.830e+01  3.756e-03  4871.571   <2e-16 ***
ORIGIN_GRID1151            1.738e+01  6.465e-03  2687.710   <2e-16 ***
ORIGIN_GRID1158            1.563e+01  1.105e-02  1415.115   <2e-16 ***
ORIGIN_GRID1159            1.674e+01  5.836e-03  2868.426   <2e-16 ***
ORIGIN_GRID1160            1.758e+01  4.026e-03  4366.906   <2e-16 ***
ORIGIN_GRID1171            1.847e+01  4.000e-03  4617.957   <2e-16 ***
ORIGIN_GRID1172            1.841e+01  3.898e-03  4723.517   <2e-16 ***
ORIGIN_GRID1173            1.615e+01  1.234e-02  1308.316   <2e-16 ***
ORIGIN_GRID1174            1.216e+01  2.673e-01    45.495   <2e-16 ***
ORIGIN_GRID1178            1.569e+01  1.038e-02  1511.687   <2e-16 ***
ORIGIN_GRID1179            1.635e+01  6.957e-03  2350.226   <2e-16 ***
ORIGIN_GRID1180            1.723e+01  4.554e-03  3783.895   <2e-16 ***
ORIGIN_GRID1181            1.640e+01  6.665e-03  2459.935   <2e-16 ***
ORIGIN_GRID1183            1.561e+01  1.171e-02  1333.243   <2e-16 ***
ORIGIN_GRID1190            1.488e+01  4.788e-02   310.697   <2e-16 ***
ORIGIN_GRID1192            1.765e+01  6.234e-03  2830.649   <2e-16 ***
ORIGIN_GRID1193            1.766e+01  5.276e-03  3347.965   <2e-16 ***
ORIGIN_GRID1194            1.601e+01  1.386e-02  1155.274   <2e-16 ***
ORIGIN_GRID1200            1.660e+01  6.764e-03  2454.304   <2e-16 ***
ORIGIN_GRID1201            1.628e+01  7.206e-03  2259.051   <2e-16 ***
ORIGIN_GRID1203            1.679e+01  6.070e-03  2765.963   <2e-16 ***
ORIGIN_GRID1204            1.661e+01  6.965e-03  2385.305   <2e-16 ***
ORIGIN_GRID1211            1.412e+01  8.911e-02   158.488   <2e-16 ***
ORIGIN_GRID1214            1.821e+01  4.254e-03  4279.842   <2e-16 ***
ORIGIN_GRID1215            1.507e+01  3.968e-02   379.803   <2e-16 ***
ORIGIN_GRID1216            1.432e+01  4.034e-02   354.931   <2e-16 ***
ORIGIN_GRID1220            1.751e+01  4.386e-03  3992.222   <2e-16 ***
ORIGIN_GRID1221            1.706e+01  4.792e-03  3560.302   <2e-16 ***
ORIGIN_GRID1222            1.670e+01  9.721e-03  1718.176   <2e-16 ***
ORIGIN_GRID1223            1.478e+01  1.671e-02   884.520   <2e-16 ***
ORIGIN_GRID1224            1.566e+01  1.062e-02  1473.958   <2e-16 ***
ORIGIN_GRID1231            1.203e+01  1.890e-01    63.671   <2e-16 ***
ORIGIN_GRID1232            1.369e+01  1.118e-01   122.434   <2e-16 ***
ORIGIN_GRID1235            1.571e+01  1.371e-02  1145.757   <2e-16 ***
ORIGIN_GRID1236            1.609e+01  1.363e-02  1180.963   <2e-16 ***
ORIGIN_GRID1241            1.573e+01  1.010e-02  1557.749   <2e-16 ***
ORIGIN_GRID1242            1.642e+01  6.920e-03  2372.856   <2e-16 ***
ORIGIN_GRID1243            1.688e+01  5.100e-03  3310.226   <2e-16 ***
ORIGIN_GRID1246            1.586e+01  9.224e-03  1719.956   <2e-16 ***
ORIGIN_GRID1256            1.704e+01  7.436e-03  2291.276   <2e-16 ***
ORIGIN_GRID1257            1.797e+01  5.238e-03  3430.447   <2e-16 ***
ORIGIN_GRID1258            1.604e+01  1.441e-02  1113.332   <2e-16 ***
ORIGIN_GRID1262            1.614e+01  8.296e-03  1944.856   <2e-16 ***
ORIGIN_GRID1263            1.665e+01  5.457e-03  3052.092   <2e-16 ***
ORIGIN_GRID1264            1.551e+01  1.180e-02  1314.636   <2e-16 ***
ORIGIN_GRID1265            1.509e+01  1.396e-02  1080.768   <2e-16 ***
ORIGIN_GRID1266            1.654e+01  7.850e-03  2107.337   <2e-16 ***
ORIGIN_GRID1267            1.460e+01  2.669e-02   547.033   <2e-16 ***
ORIGIN_GRID1272            1.236e+01  1.155e-01   107.060   <2e-16 ***
ORIGIN_GRID1273            1.621e+01  1.194e-02  1357.124   <2e-16 ***
ORIGIN_GRID1277            1.803e+01  4.228e-03  4263.514   <2e-16 ***
ORIGIN_GRID1278            1.571e+01  1.373e-02  1143.682   <2e-16 ***
ORIGIN_GRID1283            1.773e+01  4.154e-03  4267.929   <2e-16 ***
ORIGIN_GRID1284            1.699e+01  5.002e-03  3396.323   <2e-16 ***
ORIGIN_GRID1285            1.770e+01  3.754e-03  4715.953   <2e-16 ***
ORIGIN_GRID1286            1.584e+01  1.011e-02  1566.008   <2e-16 ***
ORIGIN_GRID1289            1.393e+01  4.603e-02   302.642   <2e-16 ***
ORIGIN_GRID1293            1.298e+01  8.911e-02   145.609   <2e-16 ***
ORIGIN_GRID1294            1.772e+01  6.125e-03  2893.233   <2e-16 ***
ORIGIN_GRID1295            1.531e+01  2.061e-02   742.931   <2e-16 ***
ORIGIN_GRID1298            1.696e+01  6.901e-03  2457.001   <2e-16 ***
ORIGIN_GRID1299            1.757e+01  6.190e-03  2838.270   <2e-16 ***
ORIGIN_GRID1304            1.760e+01  4.109e-03  4283.329   <2e-16 ***
ORIGIN_GRID1305            1.700e+01  4.444e-03  3824.291   <2e-16 ***
ORIGIN_GRID1307            1.320e+01  3.759e-02   351.279   <2e-16 ***
ORIGIN_GRID1308            1.665e+01  6.319e-03  2634.342   <2e-16 ***
ORIGIN_GRID1310            1.229e+01  1.302e-01    94.422   <2e-16 ***
ORIGIN_GRID1316            1.427e+01  3.315e-02   430.625   <2e-16 ***
ORIGIN_GRID1317            1.607e+01  1.127e-02  1426.006   <2e-16 ***
ORIGIN_GRID1318            1.549e+01  1.531e-02  1012.123   <2e-16 ***
ORIGIN_GRID1319            1.822e+01  4.080e-03  4464.201   <2e-16 ***
ORIGIN_GRID1320            1.692e+01  8.926e-03  1895.292   <2e-16 ***
ORIGIN_GRID1325            1.524e+01  1.232e-02  1236.547   <2e-16 ***
ORIGIN_GRID1326            1.714e+01  4.381e-03  3913.172   <2e-16 ***
ORIGIN_GRID1327            1.685e+01  4.740e-03  3555.241   <2e-16 ***
ORIGIN_GRID1328            1.535e+01  9.469e-03  1621.305   <2e-16 ***
ORIGIN_GRID1329            1.572e+01  1.161e-02  1354.462   <2e-16 ***
ORIGIN_GRID1330            1.654e+01  8.175e-03  2023.019   <2e-16 ***
ORIGIN_GRID1331            1.188e+01  3.015e-01    39.410   <2e-16 ***
ORIGIN_GRID1333            1.572e+01  1.221e-02  1287.740   <2e-16 ***
ORIGIN_GRID1334            1.606e+01  1.127e-02  1425.136   <2e-16 ***
ORIGIN_GRID1335            1.549e+01  1.651e-02   938.363   <2e-16 ***
ORIGIN_GRID1336            1.311e+01  1.072e-01   122.265   <2e-16 ***
ORIGIN_GRID1337            1.365e+01  4.873e-02   280.136   <2e-16 ***
ORIGIN_GRID1338            1.246e+01  8.141e-02   153.025   <2e-16 ***
ORIGIN_GRID1339            1.817e+01  3.952e-03  4597.269   <2e-16 ***
ORIGIN_GRID1340            1.658e+01  8.927e-03  1857.832   <2e-16 ***
ORIGIN_GRID1341            1.171e+01  7.071e-01    16.554   <2e-16 ***
ORIGIN_GRID1346            1.667e+01  6.294e-03  2648.253   <2e-16 ***
ORIGIN_GRID1347            1.761e+01  3.725e-03  4726.843   <2e-16 ***
ORIGIN_GRID1348            1.591e+01  6.366e-03  2498.438   <2e-16 ***
ORIGIN_GRID1349            1.571e+01  8.168e-03  1923.149   <2e-16 ***
ORIGIN_GRID1350            1.594e+01  1.112e-02  1432.848   <2e-16 ***
ORIGIN_GRID1353            1.614e+01  8.483e-03  1903.176   <2e-16 ***
ORIGIN_GRID1354            1.564e+01  1.210e-02  1291.891   <2e-16 ***
ORIGIN_GRID1355            1.646e+01  8.439e-03  1950.709   <2e-16 ***
ORIGIN_GRID1357            1.555e+01  1.873e-02   830.171   <2e-16 ***
ORIGIN_GRID1358            1.687e+01  7.346e-03  2297.006   <2e-16 ***
ORIGIN_GRID1359            1.735e+01  5.321e-03  3260.729   <2e-16 ***
ORIGIN_GRID1360            1.745e+01  5.466e-03  3192.863   <2e-16 ***
ORIGIN_GRID1361            1.842e+01  4.176e-03  4410.834   <2e-16 ***
ORIGIN_GRID1362            1.435e+01  4.518e-02   317.707   <2e-16 ***
ORIGIN_GRID1368            1.549e+01  8.517e-03  1818.541   <2e-16 ***
ORIGIN_GRID1369            1.532e+01  8.708e-03  1759.107   <2e-16 ***
ORIGIN_GRID1370            1.647e+01  5.218e-03  3155.253   <2e-16 ***
ORIGIN_GRID1371            1.583e+01  9.917e-03  1595.887   <2e-16 ***
ORIGIN_GRID1372            1.545e+01  1.314e-02  1175.960   <2e-16 ***
ORIGIN_GRID1373            1.356e+01  4.648e-02   291.665   <2e-16 ***
ORIGIN_GRID1374            1.525e+01  1.220e-02  1249.374   <2e-16 ***
ORIGIN_GRID1375            1.682e+01  7.736e-03  2173.768   <2e-16 ***
ORIGIN_GRID1376            1.621e+01  1.233e-02  1314.366   <2e-16 ***
ORIGIN_GRID1379            1.462e+01  3.435e-02   425.554   <2e-16 ***
ORIGIN_GRID1380            1.841e+01  3.440e-03  5350.985   <2e-16 ***
ORIGIN_GRID1381            1.805e+01  3.976e-03  4540.058   <2e-16 ***
ORIGIN_GRID1382            1.753e+01  6.390e-03  2743.790   <2e-16 ***
ORIGIN_GRID1383            1.501e+01  2.404e-02   624.521   <2e-16 ***
ORIGIN_GRID1388            1.601e+01  6.660e-03  2404.472   <2e-16 ***
ORIGIN_GRID1389            1.511e+01  8.937e-03  1691.019   <2e-16 ***
ORIGIN_GRID1390            1.577e+01  6.793e-03  2321.758   <2e-16 ***
ORIGIN_GRID1391            1.557e+01  8.379e-03  1858.686   <2e-16 ***
ORIGIN_GRID1392            1.534e+01  1.581e-02   970.386   <2e-16 ***
ORIGIN_GRID1393            1.479e+01  1.495e-02   988.849   <2e-16 ***
ORIGIN_GRID1394            1.608e+01  7.605e-03  2114.165   <2e-16 ***
ORIGIN_GRID1395            1.618e+01  7.429e-03  2178.398   <2e-16 ***
ORIGIN_GRID1396            1.724e+01  5.239e-03  3291.315   <2e-16 ***
ORIGIN_GRID1397            1.727e+01  5.350e-03  3228.892   <2e-16 ***
ORIGIN_GRID1398            1.630e+01  1.096e-02  1487.955   <2e-16 ***
ORIGIN_GRID1400            1.758e+01  6.574e-03  2674.982   <2e-16 ***
ORIGIN_GRID1401            1.777e+01  4.195e-03  4234.937   <2e-16 ***
ORIGIN_GRID1402            1.793e+01  4.526e-03  3960.715   <2e-16 ***
ORIGIN_GRID1404            1.738e+01  1.496e-02  1162.011   <2e-16 ***
ORIGIN_GRID1410            1.653e+01  4.632e-03  3568.789   <2e-16 ***
ORIGIN_GRID1411            1.533e+01  8.059e-03  1902.182   <2e-16 ***
ORIGIN_GRID1412            1.577e+01  6.413e-03  2458.943   <2e-16 ***
ORIGIN_GRID1413            1.677e+01  4.988e-03  3361.927   <2e-16 ***
ORIGIN_GRID1414            1.621e+01  6.496e-03  2495.595   <2e-16 ***
ORIGIN_GRID1415            1.568e+01  9.305e-03  1685.632   <2e-16 ***
ORIGIN_GRID1416            1.636e+01  7.129e-03  2295.449   <2e-16 ***
ORIGIN_GRID1417            1.644e+01  6.574e-03  2501.002   <2e-16 ***
ORIGIN_GRID1418            1.727e+01  5.015e-03  3442.910   <2e-16 ***
ORIGIN_GRID1419            1.678e+01  6.667e-03  2516.649   <2e-16 ***
ORIGIN_GRID1422            1.776e+01  5.097e-03  3485.553   <2e-16 ***
ORIGIN_GRID1423            1.875e+01  3.551e-03  5281.564   <2e-16 ***
ORIGIN_GRID1430            1.613e+01  6.001e-03  2688.506   <2e-16 ***
ORIGIN_GRID1431            1.614e+01  5.018e-03  3216.210   <2e-16 ***
ORIGIN_GRID1432            1.620e+01  4.965e-03  3262.583   <2e-16 ***
ORIGIN_GRID1433            1.492e+01  1.587e-02   940.374   <2e-16 ***
ORIGIN_GRID1434            1.659e+01  5.572e-03  2978.056   <2e-16 ***
ORIGIN_GRID1435            1.720e+01  4.304e-03  3996.925   <2e-16 ***
ORIGIN_GRID1436            1.427e+01  2.201e-02   648.261   <2e-16 ***
ORIGIN_GRID1437            1.737e+01  4.553e-03  3814.593   <2e-16 ***
ORIGIN_GRID1438            1.776e+01  3.666e-03  4844.620   <2e-16 ***
ORIGIN_GRID1439            1.841e+01  3.305e-03  5571.075   <2e-16 ***
ORIGIN_GRID1440            1.478e+01  2.015e-02   733.344   <2e-16 ***
ORIGIN_GRID1442            1.740e+01  6.670e-03  2608.222   <2e-16 ***
ORIGIN_GRID1443            1.845e+01  3.857e-03  4784.239   <2e-16 ***
ORIGIN_GRID1444            1.769e+01  7.359e-03  2403.815   <2e-16 ***
ORIGIN_GRID1452            1.528e+01  7.689e-03  1986.908   <2e-16 ***
ORIGIN_GRID1453            1.548e+01  7.483e-03  2068.682   <2e-16 ***
ORIGIN_GRID1454            1.445e+01  1.813e-02   797.188   <2e-16 ***
ORIGIN_GRID1455            1.587e+01  8.165e-03  1943.955   <2e-16 ***
ORIGIN_GRID1456            1.660e+01  6.026e-03  2753.976   <2e-16 ***
ORIGIN_GRID1457            1.748e+01  4.324e-03  4043.384   <2e-16 ***
ORIGIN_GRID1458            1.760e+01  3.992e-03  4407.630   <2e-16 ***
ORIGIN_GRID1459            1.721e+01  4.786e-03  3596.417   <2e-16 ***
ORIGIN_GRID1460            1.652e+01  6.367e-03  2595.131   <2e-16 ***
ORIGIN_GRID1461            1.515e+01  1.664e-02   910.669   <2e-16 ***
ORIGIN_GRID1464            1.871e+01  3.707e-03  5046.908   <2e-16 ***
ORIGIN_GRID1465            1.833e+01  4.803e-03  3816.921   <2e-16 ***
ORIGIN_GRID1472            1.376e+01  1.890e-02   728.169   <2e-16 ***
ORIGIN_GRID1473            1.483e+01  9.714e-03  1526.354   <2e-16 ***
ORIGIN_GRID1474            1.593e+01  5.438e-03  2929.038   <2e-16 ***
ORIGIN_GRID1475            1.701e+01  4.345e-03  3914.570   <2e-16 ***
ORIGIN_GRID1476            1.648e+01  6.287e-03  2621.591   <2e-16 ***
ORIGIN_GRID1477            1.803e+01  3.192e-03  5647.422   <2e-16 ***
ORIGIN_GRID1478            1.646e+01  6.372e-03  2583.312   <2e-16 ***
ORIGIN_GRID1479            1.668e+01  5.821e-03  2864.873   <2e-16 ***
ORIGIN_GRID1480            1.840e+01  3.119e-03  5898.586   <2e-16 ***
ORIGIN_GRID1481            1.596e+01  9.989e-03  1597.547   <2e-16 ***
ORIGIN_GRID1482            1.590e+01  1.258e-02  1263.224   <2e-16 ***
ORIGIN_GRID1485            1.811e+01  4.931e-03  3673.698   <2e-16 ***
ORIGIN_GRID1494            1.505e+01  1.159e-02  1298.030   <2e-16 ***
ORIGIN_GRID1495            1.519e+01  7.786e-03  1950.749   <2e-16 ***
ORIGIN_GRID1496            1.639e+01  4.707e-03  3481.592   <2e-16 ***
ORIGIN_GRID1497            1.676e+01  5.218e-03  3212.953   <2e-16 ***
ORIGIN_GRID1498            1.734e+01  4.235e-03  4093.515   <2e-16 ***
ORIGIN_GRID1499            1.764e+01  3.840e-03  4594.183   <2e-16 ***
ORIGIN_GRID1500            1.755e+01  5.369e-03  3268.814   <2e-16 ***
ORIGIN_GRID1501            1.772e+01  3.888e-03  4556.772   <2e-16 ***
ORIGIN_GRID1502            1.737e+01  4.723e-03  3677.895   <2e-16 ***
ORIGIN_GRID1506            1.307e+01  1.085e-01   120.503   <2e-16 ***
ORIGIN_GRID1515            1.405e+01  2.110e-02   665.980   <2e-16 ***
ORIGIN_GRID1516            1.567e+01  6.569e-03  2385.636   <2e-16 ***
ORIGIN_GRID1517            1.594e+01  6.759e-03  2358.063   <2e-16 ***
ORIGIN_GRID1518            1.629e+01  7.278e-03  2237.970   <2e-16 ***
ORIGIN_GRID1519            1.775e+01  4.855e-03  3656.698   <2e-16 ***
ORIGIN_GRID1520            1.713e+01  4.996e-03  3428.278   <2e-16 ***
ORIGIN_GRID1521            1.563e+01  1.091e-02  1432.889   <2e-16 ***
ORIGIN_GRID1522            1.799e+01  3.652e-03  4926.617   <2e-16 ***
ORIGIN_GRID1523            1.633e+01  1.489e-02  1096.974   <2e-16 ***
ORIGIN_GRID1524            1.662e+01  9.142e-03  1817.632   <2e-16 ***
ORIGIN_GRID1527            1.609e+01  1.587e-02  1013.577   <2e-16 ***
ORIGIN_GRID1535            1.289e+01  7.201e-02   179.002   <2e-16 ***
ORIGIN_GRID1536            1.327e+01  3.215e-02   412.592   <2e-16 ***
ORIGIN_GRID1537            1.430e+01  1.553e-02   920.629   <2e-16 ***
ORIGIN_GRID1538            1.593e+01  6.065e-03  2626.617   <2e-16 ***
ORIGIN_GRID1539            1.651e+01  5.115e-03  3228.356   <2e-16 ***
ORIGIN_GRID1540            1.725e+01  4.431e-03  3893.394   <2e-16 ***
ORIGIN_GRID1541            1.860e+01  4.767e-03  3901.411   <2e-16 ***
ORIGIN_GRID1542            1.560e+01  1.407e-02  1109.099   <2e-16 ***
ORIGIN_GRID1543            1.584e+01  1.952e-02   811.818   <2e-16 ***
ORIGIN_GRID1544            1.726e+01  6.395e-03  2699.274   <2e-16 ***
ORIGIN_GRID1547            1.348e+01  5.758e-02   234.139   <2e-16 ***
ORIGIN_GRID1556            1.391e+01  5.318e-02   261.615   <2e-16 ***
ORIGIN_GRID1557            1.342e+01  3.078e-02   435.885   <2e-16 ***
ORIGIN_GRID1558            1.468e+01  1.759e-02   834.700   <2e-16 ***
ORIGIN_GRID1559            1.662e+01  4.802e-03  3461.029   <2e-16 ***
ORIGIN_GRID1560            1.758e+01  3.748e-03  4690.756   <2e-16 ***
ORIGIN_GRID1561            1.780e+01  4.630e-03  3845.205   <2e-16 ***
ORIGIN_GRID1562            1.473e+01  1.886e-02   780.720   <2e-16 ***
ORIGIN_GRID1563            1.635e+01  7.109e-03  2299.423   <2e-16 ***
ORIGIN_GRID1564            1.554e+01  1.265e-02  1228.099   <2e-16 ***
ORIGIN_GRID1565            1.556e+01  1.330e-02  1170.459   <2e-16 ***
ORIGIN_GRID1566            1.510e+01  1.912e-02   789.924   <2e-16 ***
ORIGIN_GRID1567            1.315e+01  7.650e-02   171.861   <2e-16 ***
ORIGIN_GRID1568            1.357e+01  6.034e-02   224.855   <2e-16 ***
ORIGIN_GRID1578            1.135e+01  7.071e-01    16.050   <2e-16 ***
ORIGIN_GRID1580            1.524e+01  1.478e-02  1031.223   <2e-16 ***
ORIGIN_GRID1581            1.399e+01  1.958e-02   714.292   <2e-16 ***
ORIGIN_GRID1582            1.740e+01  3.946e-03  4409.704   <2e-16 ***
ORIGIN_GRID1583            1.601e+01  1.965e-02   814.766   <2e-16 ***
ORIGIN_GRID1584            1.609e+01  9.751e-03  1649.979   <2e-16 ***
ORIGIN_GRID1585            1.649e+01  8.662e-03  1903.551   <2e-16 ***
ORIGIN_GRID1586            1.561e+01  1.200e-02  1300.802   <2e-16 ***
ORIGIN_GRID1589            1.390e+01  3.904e-02   356.058   <2e-16 ***
ORIGIN_GRID1590            1.377e+01  5.749e-02   239.481   <2e-16 ***
ORIGIN_GRID1600            1.727e+01  9.077e-03  1902.066   <2e-16 ***
ORIGIN_GRID1601            1.582e+01  7.233e-03  2187.742   <2e-16 ***
ORIGIN_GRID1602            1.679e+01  5.916e-03  2838.277   <2e-16 ***
ORIGIN_GRID1603            1.769e+01  3.999e-03  4422.111   <2e-16 ***
ORIGIN_GRID1604            1.613e+01  7.535e-03  2140.689   <2e-16 ***
ORIGIN_GRID1605            1.743e+01  4.278e-03  4075.299   <2e-16 ***
ORIGIN_GRID1606            1.709e+01  8.790e-03  1943.832   <2e-16 ***
ORIGIN_GRID1607            1.613e+01  9.168e-03  1758.918   <2e-16 ***
ORIGIN_GRID1608            1.781e+01  4.456e-03  3997.307   <2e-16 ***
ORIGIN_GRID1609            1.756e+01  5.449e-03  3223.064   <2e-16 ***
ORIGIN_GRID1610            1.396e+01  5.959e-02   234.237   <2e-16 ***
ORIGIN_GRID1622            1.591e+01  1.973e-02   806.186   <2e-16 ***
ORIGIN_GRID1623            1.723e+01  4.118e-03  4182.741   <2e-16 ***
ORIGIN_GRID1624            1.612e+01  7.933e-03  2032.584   <2e-16 ***
ORIGIN_GRID1625            1.748e+01  4.583e-03  3815.081   <2e-16 ***
ORIGIN_GRID1626            1.800e+01  3.505e-03  5134.701   <2e-16 ***
ORIGIN_GRID1627            1.642e+01  6.815e-03  2409.520   <2e-16 ***
ORIGIN_GRID1628            1.814e+01  3.604e-03  5034.722   <2e-16 ***
ORIGIN_GRID1629            1.695e+01  6.702e-03  2528.852   <2e-16 ***
ORIGIN_GRID1630            1.683e+01  7.545e-03  2231.263   <2e-16 ***
ORIGIN_GRID1631            1.332e+01  5.876e-02   226.622   <2e-16 ***
ORIGIN_GRID1642            1.492e+01  2.703e-02   552.059   <2e-16 ***
ORIGIN_GRID1643            1.708e+01  4.436e-03  3850.208   <2e-16 ***
ORIGIN_GRID1644            1.510e+01  1.580e-02   955.618   <2e-16 ***
ORIGIN_GRID1645            1.670e+01  5.939e-03  2812.183   <2e-16 ***
ORIGIN_GRID1646            1.658e+01  8.378e-03  1978.684   <2e-16 ***
ORIGIN_GRID1647            1.677e+01  5.580e-03  3005.367   <2e-16 ***
ORIGIN_GRID1648            1.730e+01  4.772e-03  3624.975   <2e-16 ***
ORIGIN_GRID1649            1.797e+01  3.828e-03  4694.727   <2e-16 ***
ORIGIN_GRID1650            1.770e+01  5.188e-03  3410.917   <2e-16 ***
ORIGIN_GRID1664            1.204e+01  1.667e-01    72.218   <2e-16 ***
ORIGIN_GRID1665            1.737e+01  4.050e-03  4288.125   <2e-16 ***
ORIGIN_GRID1666            1.616e+01  6.798e-03  2376.429   <2e-16 ***
ORIGIN_GRID1667            1.733e+01  9.763e-03  1774.692   <2e-16 ***
ORIGIN_GRID1668            1.731e+01  4.668e-03  3708.738   <2e-16 ***
ORIGIN_GRID1670            1.814e+01  3.587e-03  5056.743   <2e-16 ***
ORIGIN_GRID1671            1.860e+01  5.096e-03  3649.112   <2e-16 ***
ORIGIN_GRID1672            1.771e+01  5.695e-03  3110.283   <2e-16 ***
ORIGIN_GRID1684            1.652e+01  1.169e-02  1412.856   <2e-16 ***
ORIGIN_GRID1685            1.695e+01  5.284e-03  3208.246   <2e-16 ***
ORIGIN_GRID1686            1.678e+01  5.299e-03  3165.882   <2e-16 ***
ORIGIN_GRID1687            1.670e+01  7.166e-03  2330.992   <2e-16 ***
ORIGIN_GRID1688            1.610e+01  8.160e-03  1972.413   <2e-16 ***
ORIGIN_GRID1689            1.555e+01  1.187e-02  1310.584   <2e-16 ***
ORIGIN_GRID1690            1.706e+01  6.407e-03  2662.690   <2e-16 ***
ORIGIN_GRID1691            1.767e+01  4.449e-03  3970.610   <2e-16 ***
ORIGIN_GRID1692            1.682e+01  7.885e-03  2133.335   <2e-16 ***
ORIGIN_GRID1706            1.690e+01  6.122e-03  2760.133   <2e-16 ***
ORIGIN_GRID1707            1.679e+01  5.008e-03  3353.644   <2e-16 ***
ORIGIN_GRID1708            1.745e+01  4.157e-03  4199.143   <2e-16 ***
ORIGIN_GRID1709            1.652e+01  6.555e-03  2520.364   <2e-16 ***
ORIGIN_GRID1710            1.773e+01  4.256e-03  4165.520   <2e-16 ***
ORIGIN_GRID1711            1.743e+01  4.935e-03  3531.343   <2e-16 ***
ORIGIN_GRID1712            1.805e+01  3.553e-03  5080.371   <2e-16 ***
ORIGIN_GRID1713            1.552e+01  1.228e-02  1263.780   <2e-16 ***
ORIGIN_GRID1714            1.791e+01  4.646e-03  3854.562   <2e-16 ***
ORIGIN_GRID1727            1.705e+01  5.223e-03  3263.339   <2e-16 ***
ORIGIN_GRID1728            1.702e+01  4.812e-03  3536.342   <2e-16 ***
ORIGIN_GRID1729            1.668e+01  5.611e-03  2972.155   <2e-16 ***
ORIGIN_GRID1730            1.483e+01  2.000e-02   741.523   <2e-16 ***
ORIGIN_GRID1731            1.715e+01  5.443e-03  3151.505   <2e-16 ***
ORIGIN_GRID1732            1.778e+01  3.826e-03  4645.924   <2e-16 ***
ORIGIN_GRID1733            1.741e+01  4.576e-03  3805.012   <2e-16 ***
ORIGIN_GRID1734            1.757e+01  4.376e-03  4014.669   <2e-16 ***
ORIGIN_GRID1735            1.860e+01  5.774e-03  3221.048   <2e-16 ***
ORIGIN_GRID1748            1.593e+01  9.248e-03  1722.566   <2e-16 ***
ORIGIN_GRID1749            1.683e+01  5.071e-03  3318.933   <2e-16 ***
ORIGIN_GRID1750            1.604e+01  7.205e-03  2225.727   <2e-16 ***
ORIGIN_GRID1751            1.584e+01  1.049e-02  1509.697   <2e-16 ***
ORIGIN_GRID1753            1.783e+01  4.018e-03  4436.519   <2e-16 ***
ORIGIN_GRID1754            1.804e+01  3.574e-03  5047.977   <2e-16 ***
ORIGIN_GRID1755            1.742e+01  4.512e-03  3860.087   <2e-16 ***
ORIGIN_GRID1756            1.726e+01  5.315e-03  3247.080   <2e-16 ***
ORIGIN_GRID1757            1.512e+01  2.442e-02   619.107   <2e-16 ***
ORIGIN_GRID1769            1.673e+01  5.758e-03  2904.701   <2e-16 ***
ORIGIN_GRID1770            1.694e+01  8.344e-03  2030.368   <2e-16 ***
ORIGIN_GRID1771            1.575e+01  9.894e-03  1591.977   <2e-16 ***
ORIGIN_GRID1772            1.539e+01  2.329e-02   660.779   <2e-16 ***
ORIGIN_GRID1774            1.748e+01  4.423e-03  3952.020   <2e-16 ***
ORIGIN_GRID1775            1.698e+01  5.481e-03  3098.925   <2e-16 ***
ORIGIN_GRID1776            1.799e+01  3.622e-03  4966.937   <2e-16 ***
ORIGIN_GRID1777            1.798e+01  4.041e-03  4449.798   <2e-16 ***
ORIGIN_GRID1778            1.684e+01  1.078e-02  1561.844   <2e-16 ***
ORIGIN_GRID1790            1.735e+01  4.934e-03  3516.880   <2e-16 ***
ORIGIN_GRID1791            1.664e+01  6.346e-03  2622.374   <2e-16 ***
ORIGIN_GRID1792            1.686e+01  6.435e-03  2620.418   <2e-16 ***
ORIGIN_GRID1793            1.520e+01  1.334e-02  1139.671   <2e-16 ***
ORIGIN_GRID1794            1.554e+01  2.730e-02   569.321   <2e-16 ***
ORIGIN_GRID1795            1.425e+01  3.276e-02   435.074   <2e-16 ***
ORIGIN_GRID1796            1.783e+01  4.334e-03  4113.353   <2e-16 ***
ORIGIN_GRID1797            1.772e+01  4.047e-03  4379.611   <2e-16 ***
ORIGIN_GRID1798            1.782e+01  4.039e-03  4411.528   <2e-16 ***
ORIGIN_GRID1799            1.682e+01  7.558e-03  2225.591   <2e-16 ***
ORIGIN_GRID1800            1.544e+01  2.687e-02   574.699   <2e-16 ***
ORIGIN_GRID1811            1.645e+01  7.240e-03  2271.992   <2e-16 ***
ORIGIN_GRID1812            1.766e+01  3.800e-03  4648.022   <2e-16 ***
ORIGIN_GRID1813            1.761e+01  4.052e-03  4344.810   <2e-16 ***
ORIGIN_GRID1817            1.747e+01  5.308e-03  3291.075   <2e-16 ***
ORIGIN_GRID1818            1.753e+01  4.451e-03  3938.990   <2e-16 ***
ORIGIN_GRID1819            1.786e+01  3.848e-03  4639.605   <2e-16 ***
ORIGIN_GRID1820            1.465e+01  3.282e-02   446.479   <2e-16 ***
ORIGIN_GRID1832            1.719e+01  5.330e-03  3225.345   <2e-16 ***
ORIGIN_GRID1833            1.669e+01  5.947e-03  2806.640   <2e-16 ***
ORIGIN_GRID1834            1.723e+01  4.665e-03  3694.910   <2e-16 ***
ORIGIN_GRID1835            1.659e+01  7.349e-03  2258.007   <2e-16 ***
ORIGIN_GRID1837            1.415e+01  6.078e-02   232.718   <2e-16 ***
ORIGIN_GRID1839            1.695e+01  6.614e-03  2562.468   <2e-16 ***
ORIGIN_GRID1840            1.871e+01  3.049e-03  6137.326   <2e-16 ***
ORIGIN_GRID1841            1.425e+01  3.436e-02   414.831   <2e-16 ***
ORIGIN_GRID1842            1.760e+01  1.043e-02  1687.353   <2e-16 ***
ORIGIN_GRID1853            1.707e+01  5.053e-03  3377.942   <2e-16 ***
ORIGIN_GRID1854            1.742e+01  4.737e-03  3676.678   <2e-16 ***
ORIGIN_GRID1855            1.774e+01  4.275e-03  4150.089   <2e-16 ***
ORIGIN_GRID1858            1.543e+01  2.526e-02   611.007   <2e-16 ***
ORIGIN_GRID1860            1.786e+01  8.203e-03  2177.658   <2e-16 ***
ORIGIN_GRID1861            1.771e+01  4.597e-03  3851.631   <2e-16 ***
ORIGIN_GRID1874            1.728e+01  5.984e-03  2887.750   <2e-16 ***
ORIGIN_GRID1875            1.570e+01  1.232e-02  1274.675   <2e-16 ***
ORIGIN_GRID1876            1.757e+01  9.662e-03  1818.135   <2e-16 ***
ORIGIN_GRID1877            1.739e+01  4.867e-03  3573.179   <2e-16 ***
ORIGIN_GRID1880            1.411e+01  5.062e-02   278.726   <2e-16 ***
ORIGIN_GRID1882            1.762e+01  4.974e-03  3542.118   <2e-16 ***
ORIGIN_GRID1883            1.741e+01  8.597e-03  2024.740   <2e-16 ***
ORIGIN_GRID1895            1.735e+01  4.807e-03  3608.362   <2e-16 ***
ORIGIN_GRID1896            1.584e+01  9.717e-03  1629.897   <2e-16 ***
ORIGIN_GRID1897            1.672e+01  8.709e-03  1920.365   <2e-16 ***
ORIGIN_GRID1898            1.218e+01  1.325e-01    91.912   <2e-16 ***
ORIGIN_GRID1901            1.412e+01  5.887e-02   239.948   <2e-16 ***
ORIGIN_GRID1903            1.674e+01  8.655e-03  1933.683   <2e-16 ***
ORIGIN_GRID1917            1.606e+01  8.993e-03  1786.258   <2e-16 ***
ORIGIN_GRID1918            1.782e+01  5.664e-03  3146.768   <2e-16 ***
ORIGIN_GRID1919            1.735e+01  5.192e-03  3341.149   <2e-16 ***
ORIGIN_GRID1922            1.527e+01  2.822e-02   541.023   <2e-16 ***
ORIGIN_GRID1924            1.682e+01  9.144e-03  1839.227   <2e-16 ***
ORIGIN_GRID1937            1.677e+01  6.757e-03  2481.177   <2e-16 ***
ORIGIN_GRID1938            1.757e+01  4.536e-03  3874.573   <2e-16 ***
ORIGIN_GRID1939            1.822e+01  4.086e-03  4460.264   <2e-16 ***
ORIGIN_GRID1942            1.408e+01  4.693e-02   299.936   <2e-16 ***
ORIGIN_GRID1959            1.641e+01  8.457e-03  1940.159   <2e-16 ***
ORIGIN_GRID1960            1.840e+01  3.161e-03  5820.857   <2e-16 ***
ORIGIN_GRID1961            1.711e+01  6.774e-03  2525.066   <2e-16 ***
ORIGIN_GRID1962            1.802e+01  4.443e-03  4055.813   <2e-16 ***
ORIGIN_GRID1964            1.308e+01  8.807e-02   148.564   <2e-16 ***
ORIGIN_GRID1979            1.671e+01  7.747e-03  2156.655   <2e-16 ***
ORIGIN_GRID1980            1.521e+01  1.355e-02  1122.397   <2e-16 ***
ORIGIN_GRID1981            1.772e+01  4.392e-03  4035.199   <2e-16 ***
ORIGIN_GRID1982            1.665e+01  1.067e-02  1560.583   <2e-16 ***
ORIGIN_GRID1983            1.807e+01  4.423e-03  4086.858   <2e-16 ***
ORIGIN_GRID1984            1.684e+01  7.367e-03  2285.593   <2e-16 ***
ORIGIN_GRID1985            1.731e+01  6.257e-03  2766.358   <2e-16 ***
ORIGIN_GRID2001            1.700e+01  5.859e-03  2902.079   <2e-16 ***
ORIGIN_GRID2002            1.776e+01  3.940e-03  4508.128   <2e-16 ***
ORIGIN_GRID2003            1.737e+01  5.109e-03  3400.443   <2e-16 ***
ORIGIN_GRID2004            1.815e+01  4.208e-03  4312.367   <2e-16 ***
ORIGIN_GRID2005            1.800e+01  4.246e-03  4238.807   <2e-16 ***
ORIGIN_GRID2006            1.653e+01  9.095e-03  1817.708   <2e-16 ***
ORIGIN_GRID2007            1.593e+01  1.574e-02  1012.117   <2e-16 ***
ORIGIN_GRID2022            1.761e+01  5.747e-03  3064.430   <2e-16 ***
ORIGIN_GRID2023            1.802e+01  3.837e-03  4695.826   <2e-16 ***
ORIGIN_GRID2024            1.739e+01  4.793e-03  3628.546   <2e-16 ***
ORIGIN_GRID2025            1.756e+01  4.640e-03  3784.704   <2e-16 ***
ORIGIN_GRID2026            1.613e+01  1.143e-02  1410.850   <2e-16 ***
ORIGIN_GRID2027            1.820e+01  4.114e-03  4423.539   <2e-16 ***
ORIGIN_GRID2043            1.677e+01  7.515e-03  2231.964   <2e-16 ***
ORIGIN_GRID2044            1.769e+01  4.315e-03  4100.037   <2e-16 ***
ORIGIN_GRID2045            1.350e+01  7.436e-02   181.555   <2e-16 ***
ORIGIN_GRID2046            1.764e+01  3.996e-03  4414.478   <2e-16 ***
ORIGIN_GRID2047            1.759e+01  5.095e-03  3452.282   <2e-16 ***
ORIGIN_GRID2048            1.775e+01  4.665e-03  3805.180   <2e-16 ***
ORIGIN_GRID2049            1.676e+01  1.354e-02  1237.120   <2e-16 ***
ORIGIN_GRID2064            1.763e+01  4.859e-03  3628.905   <2e-16 ***
ORIGIN_GRID2065            1.624e+01  8.223e-03  1975.235   <2e-16 ***
ORIGIN_GRID2066            1.600e+01  2.049e-02   780.689   <2e-16 ***
ORIGIN_GRID2067            1.874e+01  2.993e-03  6259.703   <2e-16 ***
ORIGIN_GRID2068            1.768e+01  6.731e-03  2626.333   <2e-16 ***
ORIGIN_GRID2069            1.757e+01  5.468e-03  3213.512   <2e-16 ***
ORIGIN_GRID2085            1.637e+01  9.246e-03  1770.757   <2e-16 ***
ORIGIN_GRID2086            1.787e+01  4.134e-03  4324.024   <2e-16 ***
ORIGIN_GRID2087            1.662e+01  7.106e-03  2339.304   <2e-16 ***
ORIGIN_GRID2088            1.733e+01  4.591e-03  3774.244   <2e-16 ***
ORIGIN_GRID2089            1.702e+01  6.425e-03  2648.265   <2e-16 ***
ORIGIN_GRID2090            1.828e+01  3.631e-03  5033.066   <2e-16 ***
ORIGIN_GRID2091            1.415e+01  6.792e-02   208.363   <2e-16 ***
ORIGIN_GRID2105            1.405e+01  1.010e-01   139.028   <2e-16 ***
ORIGIN_GRID2106            1.491e+01  1.867e-02   798.458   <2e-16 ***
ORIGIN_GRID2107            1.597e+01  9.108e-03  1753.311   <2e-16 ***
ORIGIN_GRID2108            1.731e+01  5.382e-03  3215.671   <2e-16 ***
ORIGIN_GRID2109            1.749e+01  4.529e-03  3861.037   <2e-16 ***
ORIGIN_GRID2110            1.699e+01  7.136e-03  2381.010   <2e-16 ***
ORIGIN_GRID2111            1.479e+01  3.922e-02   377.215   <2e-16 ***
ORIGIN_GRID2128            1.595e+01  1.287e-02  1239.418   <2e-16 ***
ORIGIN_GRID2129            1.531e+01  1.438e-02  1064.435   <2e-16 ***
ORIGIN_GRID2130            1.776e+01  3.994e-03  4446.006   <2e-16 ***
ORIGIN_GRID2131            1.807e+01  4.468e-03  4044.880   <2e-16 ***
ORIGIN_GRID2132            1.722e+01  5.928e-03  2904.831   <2e-16 ***
ORIGIN_GRID2148            1.664e+01  1.091e-02  1525.498   <2e-16 ***
ORIGIN_GRID2149            1.518e+01  1.535e-02   989.066   <2e-16 ***
ORIGIN_GRID2150            1.767e+01  4.549e-03  3885.549   <2e-16 ***
ORIGIN_GRID2151            1.816e+01  3.605e-03  5036.370   <2e-16 ***
ORIGIN_GRID2152            1.828e+01  3.884e-03  4705.982   <2e-16 ***
ORIGIN_GRID2153            1.773e+01  5.538e-03  3200.788   <2e-16 ***
ORIGIN_GRID2171            1.669e+01  6.935e-03  2405.955   <2e-16 ***
ORIGIN_GRID2172            1.696e+01  7.652e-03  2216.974   <2e-16 ***
ORIGIN_GRID2173            1.726e+01  5.182e-03  3330.347   <2e-16 ***
ORIGIN_GRID2174            1.767e+01  5.169e-03  3418.504   <2e-16 ***
ORIGIN_GRID2191            1.641e+01  9.922e-03  1654.068   <2e-16 ***
ORIGIN_GRID2192            1.604e+01  1.067e-02  1503.545   <2e-16 ***
ORIGIN_GRID2193            1.715e+01  5.924e-03  2895.272   <2e-16 ***
ORIGIN_GRID2194            1.748e+01  5.071e-03  3447.804   <2e-16 ***
ORIGIN_GRID2195            1.678e+01  1.985e-02   844.931   <2e-16 ***
ORIGIN_GRID2212            1.431e+01  7.984e-02   179.181   <2e-16 ***
ORIGIN_GRID2213            1.374e+01  3.804e-02   361.304   <2e-16 ***
ORIGIN_GRID2214            1.535e+01  2.410e-02   636.915   <2e-16 ***
ORIGIN_GRID2215            1.719e+01  6.500e-03  2644.499   <2e-16 ***
ORIGIN_GRID2216            1.625e+01  1.055e-02  1540.495   <2e-16 ***
ORIGIN_GRID2233            1.422e+01  3.871e-02   367.412   <2e-16 ***
ORIGIN_GRID2234            1.627e+01  1.930e-02   843.144   <2e-16 ***
ORIGIN_GRID2235            1.605e+01  1.277e-02  1256.362   <2e-16 ***
ORIGIN_GRID2236            1.606e+01  1.253e-02  1281.694   <2e-16 ***
ORIGIN_GRID2237            1.388e+01  5.342e-02   259.877   <2e-16 ***
ORIGIN_GRID2256            1.416e+01  5.017e-02   282.278   <2e-16 ***
ORIGIN_GRID2257            1.562e+01  1.831e-02   853.175   <2e-16 ***
ORIGIN_GRID2258            1.509e+01  1.747e-02   863.989   <2e-16 ***
ORIGIN_GRID2259            1.498e+01  3.507e-02   427.307   <2e-16 ***
ORIGIN_GRID2277            1.524e+01  3.919e-02   388.842   <2e-16 ***
ORIGIN_GRID2278            1.621e+01  1.485e-02  1091.775   <2e-16 ***
ORIGIN_GRID2279            1.521e+01  1.895e-02   803.056   <2e-16 ***
ORIGIN_GRID2280            1.329e+01  1.005e-01   132.170   <2e-16 ***
ORIGIN_GRID2297            1.749e+01  8.819e-03  1983.512   <2e-16 ***
ORIGIN_GRID2300            1.366e+01  5.948e-02   229.671   <2e-16 ***
ORIGIN_GRID2301            1.541e+01  1.817e-02   848.382   <2e-16 ***
ORIGIN_GRID2318            1.587e+01  1.813e-02   875.412   <2e-16 ***
ORIGIN_GRID2319            1.693e+01  9.976e-03  1697.061   <2e-16 ***
ORIGIN_GRID2322            1.643e+01  1.196e-02  1374.057   <2e-16 ***
ORIGIN_GRID2337            1.751e+01  1.514e-02  1156.401   <2e-16 ***
ORIGIN_GRID2341            1.725e+01  8.948e-03  1928.169   <2e-16 ***
ORIGIN_GRID2343            1.604e+01  1.394e-02  1151.311   <2e-16 ***
ORIGIN_GRID2361            1.694e+01  1.045e-02  1620.166   <2e-16 ***
ORIGIN_GRID2364            1.355e+01  6.445e-02   210.217   <2e-16 ***
ORIGIN_GRID2379            1.723e+01  1.706e-02  1009.609   <2e-16 ***
ORIGIN_GRID2384            1.662e+01  1.438e-02  1156.151   <2e-16 ***
ORIGIN_GRID2405            1.637e+01  1.421e-02  1151.678   <2e-16 ***
ORIGIN_GRID2406            1.493e+01  3.313e-02   450.633   <2e-16 ***
ORIGIN_GRID2426            1.666e+01  2.626e-02   634.331   <2e-16 ***
ORIGIN_GRID2427            1.728e+01  1.044e-02  1655.427   <2e-16 ***
ORIGIN_GRID2505            1.677e+01  3.630e-02   461.947   <2e-16 ***
log(DESTIN_BS_COUNT)       1.790e-01  4.716e-04   379.486   <2e-16 ***
log(DESTIN_BIZ_COUNT)      5.362e-02  1.873e-04   286.315   <2e-16 ***
log(DESTIN_FINSERV_COUNT)  2.424e-01  2.504e-04   967.944   <2e-16 ***
log(DESTIN_MRTEXIT_COUNT)  4.585e-01  3.901e-04  1175.327   <2e-16 ***
log(DESTIN_SCHOOLS_COUNT)  2.340e-01  6.890e-04   339.580   <2e-16 ***
log(DESTIN_DWELLINGS)     -1.556e-02  7.632e-05  -203.848   <2e-16 ***
log(DISTANCE)             -1.530e+00  2.658e-04 -5753.564   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 336170273  on 65111  degrees of freedom
Residual deviance:  35375281  on 64290  degrees of freedom
AIC: 35734999

Number of Fisher Scoring iterations: 7

Based on the above output, all the destination related variables are significant because their p-values are less than 0.05. Based on the coefficients, the destination’s MRT Exits seemed to have the biggest influence on the spatial interaction model as compared to other variables because it has the largest coefficient (4.585e-01). The destination’s Financial Services has the next largest coefficient of 2.424e-01, followed by Schools, which has a coefficient of 2.340e-01. Distance has a coefficient of -1.530e+00, meaning that as log(distance) increased by -1.530e+00, the interactions decreased. From the output, we observed that the destination HDB dwelling has a coefficient of -1.556e-02. It could mean that with HDB residential dwelling units increase, the number of interactions decrease (i.e. less commuter flows), which make sense because commuters during Weekday Morning Peak Hour are generally travelling for school or work.

We now compute the R-squared of the Origin Constrained Spatial Interaction Model using the CalcRSquared function written earlier.

Show the code 
CalcRSquared(orcSIM_Poisson$data$TRIPS, orcSIM_Poisson$fitted.values)
[1] 0.3949255

The above output indicates that these variables explain for ~ 39.5% of the observed spatial interaction patterns.

9.4 Destination (Attraction) Constrained Spatial Interaction Model

We will now develop a Destination-constrained Spatial Interaction Model so that we can compare it with the Origin-constrained Spatial Interaction Model and the Doubly-constrained Spatial Interaction Model. The Destination-constrained Spatial Interaction Model can be used to forecast total outflows from origins (Haynes & Fotheringham, 1985). Such a situation could arise, for example, in forecasting the effects of locating a new industrial park in a certain region (Haynes & Fotheringham, 1985). The destination-constrained model is used to allocate workers to residential zones based on a given distribution of basic industry.

The general equation for destination constrained spatial interaction model is as follow:

\[ \lambda{i}{j}= exp(k + \mu\ln V{i} + \alpha{i} - \beta \ln d{i}{j}) \]

Show the code 
decSIM_Poisson <- glm(formula = TRIPS ~ 
                DESTIN_GRID + 
                  log(ORIGIN_BS_COUNT) +
                log(ORIGIN_BIZ_COUNT) +
                  log(ORIGIN_FINSERV_COUNT) +
                  log(ORIGIN_MRTEXIT_COUNT) +
                  log(ORIGIN_SCHOOLS_COUNT) +
                  log(ORIGIN_DWELLINGS ) + 
                log(DISTANCE) - 1,
              family = poisson(link = "log"),
              data = SIM_data,
              na.action = na.exclude)
summary(decSIM_Poisson)

Call:
glm(formula = TRIPS ~ DESTIN_GRID + log(ORIGIN_BS_COUNT) + log(ORIGIN_BIZ_COUNT) + 
    log(ORIGIN_FINSERV_COUNT) + log(ORIGIN_MRTEXIT_COUNT) + log(ORIGIN_SCHOOLS_COUNT) + 
    log(ORIGIN_DWELLINGS) + log(DISTANCE) - 1, family = poisson(link = "log"), 
    data = SIM_data, na.action = na.exclude)

Coefficients:
                            Estimate Std. Error  z value Pr(>|z|)    
DESTIN_GRID23              1.588e+01  4.597e-02   345.48   <2e-16 ***
DESTIN_GRID44              1.822e+01  2.117e-02   860.38   <2e-16 ***
DESTIN_GRID46              1.731e+01  1.989e-02   870.69   <2e-16 ***
DESTIN_GRID66              1.648e+01  4.350e-02   378.96   <2e-16 ***
DESTIN_GRID67              1.702e+01  1.306e-02  1302.66   <2e-16 ***
DESTIN_GRID68              1.720e+01  1.910e-02   900.28   <2e-16 ***
DESTIN_GRID86              1.576e+01  3.447e-02   457.15   <2e-16 ***
DESTIN_GRID87              1.438e+01  8.706e-02   165.22   <2e-16 ***
DESTIN_GRID88              1.622e+01  1.674e-02   968.56   <2e-16 ***
DESTIN_GRID89              1.666e+01  2.140e-02   778.35   <2e-16 ***
DESTIN_GRID90              1.329e+01  5.000e-01    26.57   <2e-16 ***
DESTIN_GRID109             1.633e+01  2.540e-02   642.85   <2e-16 ***
DESTIN_GRID110             1.409e+01  1.005e-01   140.14   <2e-16 ***
DESTIN_GRID111             1.720e+01  1.130e-02  1522.38   <2e-16 ***
DESTIN_GRID112             1.492e+01  3.005e-02   496.44   <2e-16 ***
DESTIN_GRID128             1.665e+01  2.205e-02   755.02   <2e-16 ***
DESTIN_GRID129             1.359e+01  1.125e-01   120.76   <2e-16 ***
DESTIN_GRID130             1.622e+01  2.184e-02   742.69   <2e-16 ***
DESTIN_GRID131             1.551e+01  2.439e-02   635.78   <2e-16 ***
DESTIN_GRID132             1.671e+01  1.481e-02  1128.23   <2e-16 ***
DESTIN_GRID133             1.629e+01  1.240e-02  1313.21   <2e-16 ***
DESTIN_GRID134             1.648e+01  1.172e-02  1405.74   <2e-16 ***
DESTIN_GRID150             1.657e+01  2.506e-02   661.35   <2e-16 ***
DESTIN_GRID151             1.620e+01  2.120e-02   763.98   <2e-16 ***
DESTIN_GRID152             1.747e+01  1.346e-02  1297.79   <2e-16 ***
DESTIN_GRID153             1.690e+01  1.265e-02  1335.81   <2e-16 ***
DESTIN_GRID154             1.499e+01  2.660e-02   563.45   <2e-16 ***
DESTIN_GRID155             1.565e+01  1.718e-02   910.82   <2e-16 ***
DESTIN_GRID156             1.629e+01  1.849e-02   881.16   <2e-16 ***
DESTIN_GRID172             1.480e+01  4.429e-02   334.18   <2e-16 ***
DESTIN_GRID174             1.648e+01  1.440e-02  1144.33   <2e-16 ***
DESTIN_GRID175             1.645e+01  1.044e-02  1575.25   <2e-16 ***
DESTIN_GRID176             1.497e+01  2.684e-02   557.84   <2e-16 ***
DESTIN_GRID195             1.531e+01  2.979e-02   513.79   <2e-16 ***
DESTIN_GRID196             1.659e+01  1.016e-02  1632.73   <2e-16 ***
DESTIN_GRID197             1.395e+01  8.641e-02   161.38   <2e-16 ***
DESTIN_GRID215             1.633e+01  2.749e-02   593.82   <2e-16 ***
DESTIN_GRID216             1.582e+01  1.582e-02   999.88   <2e-16 ***
DESTIN_GRID217             1.705e+01  9.034e-03  1887.94   <2e-16 ***
DESTIN_GRID237             1.573e+01  2.851e-02   551.86   <2e-16 ***
DESTIN_GRID238             1.595e+01  1.476e-02  1080.83   <2e-16 ***
DESTIN_GRID239             1.588e+01  2.961e-02   536.27   <2e-16 ***
DESTIN_GRID257             1.665e+01  1.484e-02  1121.59   <2e-16 ***
DESTIN_GRID258             1.540e+01  1.936e-02   795.29   <2e-16 ***
DESTIN_GRID259             1.676e+01  1.209e-02  1386.40   <2e-16 ***
DESTIN_GRID278             1.662e+01  1.531e-02  1085.55   <2e-16 ***
DESTIN_GRID279             1.620e+01  1.265e-02  1280.93   <2e-16 ***
DESTIN_GRID280             1.672e+01  1.211e-02  1380.87   <2e-16 ***
DESTIN_GRID298             1.354e+01  1.325e-01   102.22   <2e-16 ***
DESTIN_GRID299             1.648e+01  1.621e-02  1016.14   <2e-16 ***
DESTIN_GRID300             1.572e+01  1.683e-02   934.33   <2e-16 ***
DESTIN_GRID320             1.670e+01  1.319e-02  1266.35   <2e-16 ***
DESTIN_GRID321             1.581e+01  2.283e-02   692.27   <2e-16 ***
DESTIN_GRID322             1.753e+01  1.160e-02  1510.86   <2e-16 ***
DESTIN_GRID340             1.798e+01  1.093e-02  1644.89   <2e-16 ***
DESTIN_GRID341             1.676e+01  1.182e-02  1417.62   <2e-16 ***
DESTIN_GRID342             1.715e+01  1.016e-02  1687.36   <2e-16 ***
DESTIN_GRID363             1.673e+01  1.334e-02  1254.15   <2e-16 ***
DESTIN_GRID364             1.804e+01  7.629e-03  2364.90   <2e-16 ***
DESTIN_GRID383             1.696e+01  8.831e-03  1920.37   <2e-16 ***
DESTIN_GRID384             1.728e+01  8.255e-03  2092.91   <2e-16 ***
DESTIN_GRID385             1.686e+01  1.487e-02  1133.80   <2e-16 ***
DESTIN_GRID404             1.727e+01  1.482e-02  1165.13   <2e-16 ***
DESTIN_GRID405             1.728e+01  1.022e-02  1690.94   <2e-16 ***
DESTIN_GRID406             1.696e+01  5.264e-03  3221.58   <2e-16 ***
DESTIN_GRID407             1.700e+01  8.527e-03  1993.72   <2e-16 ***
DESTIN_GRID408             1.804e+01  4.724e-03  3818.39   <2e-16 ***
DESTIN_GRID425             1.560e+01  2.369e-02   658.27   <2e-16 ***
DESTIN_GRID426             1.664e+01  1.034e-02  1608.83   <2e-16 ***
DESTIN_GRID427             1.390e+01  2.317e-02   599.86   <2e-16 ***
DESTIN_GRID428             1.597e+01  1.043e-02  1532.05   <2e-16 ***
DESTIN_GRID429             1.558e+01  2.272e-02   685.53   <2e-16 ***
DESTIN_GRID446             1.611e+01  2.209e-02   729.37   <2e-16 ***
DESTIN_GRID447             1.568e+01  1.722e-02   910.91   <2e-16 ***
DESTIN_GRID448             1.611e+01  1.158e-02  1390.94   <2e-16 ***
DESTIN_GRID449             1.595e+01  7.743e-03  2060.54   <2e-16 ***
DESTIN_GRID450             1.550e+01  1.192e-02  1300.56   <2e-16 ***
DESTIN_GRID468             1.649e+01  1.018e-02  1619.00   <2e-16 ***
DESTIN_GRID469             1.558e+01  8.619e-03  1807.21   <2e-16 ***
DESTIN_GRID470             1.591e+01  6.905e-03  2304.49   <2e-16 ***
DESTIN_GRID471             1.573e+01  1.544e-02  1018.62   <2e-16 ***
DESTIN_GRID488             1.581e+01  2.230e-02   709.15   <2e-16 ***
DESTIN_GRID489             1.408e+01  4.724e-02   298.05   <2e-16 ***
DESTIN_GRID490             1.639e+01  8.523e-03  1923.27   <2e-16 ***
DESTIN_GRID491             1.422e+01  1.487e-02   956.00   <2e-16 ***
DESTIN_GRID493             1.352e+01  4.937e-02   273.81   <2e-16 ***
DESTIN_GRID494             1.512e+01  2.183e-02   692.70   <2e-16 ***
DESTIN_GRID509             1.578e+01  1.462e-02  1079.21   <2e-16 ***
DESTIN_GRID510             1.637e+01  9.855e-03  1661.07   <2e-16 ***
DESTIN_GRID511             1.582e+01  6.689e-03  2365.64   <2e-16 ***
DESTIN_GRID512             1.579e+01  6.247e-03  2528.17   <2e-16 ***
DESTIN_GRID513             1.683e+01  7.355e-03  2287.87   <2e-16 ***
DESTIN_GRID514             1.611e+01  1.177e-02  1368.05   <2e-16 ***
DESTIN_GRID515             1.507e+01  2.906e-02   518.38   <2e-16 ***
DESTIN_GRID530             1.510e+01  2.960e-02   510.06   <2e-16 ***
DESTIN_GRID531             1.755e+01  5.986e-03  2932.39   <2e-16 ***
DESTIN_GRID532             1.602e+01  8.892e-03  1802.18   <2e-16 ***
DESTIN_GRID533             1.736e+01  3.378e-03  5139.85   <2e-16 ***
DESTIN_GRID534             1.591e+01  6.465e-03  2460.69   <2e-16 ***
DESTIN_GRID536             1.513e+01  1.764e-02   857.83   <2e-16 ***
DESTIN_GRID537             1.475e+01  3.354e-02   439.74   <2e-16 ***
DESTIN_GRID538             1.405e+01  4.243e-02   331.06   <2e-16 ***
DESTIN_GRID539             1.106e+01  5.774e-01    19.15   <2e-16 ***
DESTIN_GRID551             1.582e+01  1.773e-02   891.91   <2e-16 ***
DESTIN_GRID552             1.739e+01  1.049e-02  1658.24   <2e-16 ***
DESTIN_GRID553             1.541e+01  8.581e-03  1796.25   <2e-16 ***
DESTIN_GRID554             1.541e+01  6.933e-03  2222.59   <2e-16 ***
DESTIN_GRID555             1.639e+01  7.585e-03  2160.43   <2e-16 ***
DESTIN_GRID559             1.384e+01  5.436e-02   254.67   <2e-16 ***
DESTIN_GRID560             1.607e+01  1.622e-02   991.14   <2e-16 ***
DESTIN_GRID561             1.423e+01  6.731e-02   211.42   <2e-16 ***
DESTIN_GRID572             1.556e+01  3.242e-02   480.06   <2e-16 ***
DESTIN_GRID573             1.678e+01  1.007e-02  1665.97   <2e-16 ***
DESTIN_GRID574             1.588e+01  1.627e-02   975.93   <2e-16 ***
DESTIN_GRID575             1.806e+01  2.733e-03  6608.61   <2e-16 ***
DESTIN_GRID576             1.572e+01  6.470e-03  2429.45   <2e-16 ***
DESTIN_GRID578             1.236e+01  1.066e-01   115.89   <2e-16 ***
DESTIN_GRID582             1.359e+01  6.583e-02   206.41   <2e-16 ***
DESTIN_GRID583             1.202e+01  2.182e-01    55.06   <2e-16 ***
DESTIN_GRID584             1.518e+01  3.487e-02   435.42   <2e-16 ***
DESTIN_GRID593             1.499e+01  2.375e-02   631.20   <2e-16 ***
DESTIN_GRID594             1.611e+01  1.329e-02  1212.11   <2e-16 ***
DESTIN_GRID595             1.646e+01  5.949e-03  2767.04   <2e-16 ***
DESTIN_GRID596             1.584e+01  5.357e-03  2956.15   <2e-16 ***
DESTIN_GRID597             1.521e+01  1.541e-02   986.60   <2e-16 ***
DESTIN_GRID603             1.375e+01  5.108e-02   269.16   <2e-16 ***
DESTIN_GRID604             1.515e+01  4.448e-02   340.59   <2e-16 ***
DESTIN_GRID615             1.523e+01  1.460e-02  1043.30   <2e-16 ***
DESTIN_GRID616             1.617e+01  8.498e-03  1902.70   <2e-16 ***
DESTIN_GRID617             1.500e+01  9.226e-03  1625.48   <2e-16 ***
DESTIN_GRID618             1.565e+01  6.345e-03  2467.01   <2e-16 ***
DESTIN_GRID620             1.606e+01  1.099e-02  1460.94   <2e-16 ***
DESTIN_GRID637             1.574e+01  1.078e-02  1460.74   <2e-16 ***
DESTIN_GRID638             1.571e+01  5.868e-03  2677.81   <2e-16 ***
DESTIN_GRID657             1.673e+01  7.011e-03  2386.25   <2e-16 ***
DESTIN_GRID658             1.609e+01  6.107e-03  2634.86   <2e-16 ***
DESTIN_GRID659             1.591e+01  5.827e-03  2730.12   <2e-16 ***
DESTIN_GRID660             1.647e+01  4.273e-03  3853.84   <2e-16 ***
DESTIN_GRID662             1.596e+01  1.116e-02  1430.68   <2e-16 ***
DESTIN_GRID677             1.671e+01  9.284e-03  1800.25   <2e-16 ***
DESTIN_GRID678             1.492e+01  1.382e-02  1079.56   <2e-16 ***
DESTIN_GRID679             1.631e+01  5.153e-03  3164.48   <2e-16 ***
DESTIN_GRID680             1.782e+01  2.872e-03  6204.49   <2e-16 ***
DESTIN_GRID681             1.434e+01  1.790e-02   801.06   <2e-16 ***
DESTIN_GRID699             1.621e+01  8.805e-03  1840.94   <2e-16 ***
DESTIN_GRID700             1.586e+01  6.858e-03  2313.00   <2e-16 ***
DESTIN_GRID701             1.373e+01  1.909e-02   719.11   <2e-16 ***
DESTIN_GRID702             1.610e+01  4.964e-03  3243.88   <2e-16 ***
DESTIN_GRID704             1.608e+01  1.021e-02  1575.72   <2e-16 ***
DESTIN_GRID722             1.511e+01  9.684e-03  1560.01   <2e-16 ***
DESTIN_GRID725             1.382e+01  2.681e-02   515.28   <2e-16 ***
DESTIN_GRID741             1.679e+01  7.077e-03  2372.58   <2e-16 ***
DESTIN_GRID743             1.331e+01  2.093e-02   635.80   <2e-16 ***
DESTIN_GRID744             1.610e+01  5.086e-03  3166.15   <2e-16 ***
DESTIN_GRID761             1.690e+01  8.188e-03  2064.37   <2e-16 ***
DESTIN_GRID762             1.517e+01  1.264e-02  1200.06   <2e-16 ***
DESTIN_GRID763             1.347e+01  2.039e-02   660.51   <2e-16 ***
DESTIN_GRID764             1.669e+01  3.822e-03  4367.49   <2e-16 ***
DESTIN_GRID765             1.536e+01  9.245e-03  1661.23   <2e-16 ***
DESTIN_GRID767             1.592e+01  6.855e-03  2322.79   <2e-16 ***
DESTIN_GRID772             1.483e+01  3.455e-02   429.11   <2e-16 ***
DESTIN_GRID784             1.391e+01  1.986e-02   700.33   <2e-16 ***
DESTIN_GRID785             1.570e+01  5.704e-03  2752.53   <2e-16 ***
DESTIN_GRID786             1.589e+01  5.148e-03  3086.67   <2e-16 ***
DESTIN_GRID787             1.544e+01  9.528e-03  1620.33   <2e-16 ***
DESTIN_GRID788             1.437e+01  1.395e-02  1029.68   <2e-16 ***
DESTIN_GRID789             1.419e+01  1.676e-02   846.90   <2e-16 ***
DESTIN_GRID803             1.563e+01  1.371e-02  1139.92   <2e-16 ***
DESTIN_GRID804             1.611e+01  6.764e-03  2382.30   <2e-16 ***
DESTIN_GRID805             1.728e+01  3.300e-03  5235.93   <2e-16 ***
DESTIN_GRID806             1.553e+01  5.982e-03  2596.66   <2e-16 ***
DESTIN_GRID807             1.567e+01  7.004e-03  2237.23   <2e-16 ***
DESTIN_GRID808             1.403e+01  1.970e-02   712.12   <2e-16 ***
DESTIN_GRID809             1.582e+01  5.485e-03  2884.40   <2e-16 ***
DESTIN_GRID810             1.534e+01  8.589e-03  1785.48   <2e-16 ***
DESTIN_GRID814             1.558e+01  1.930e-02   807.42   <2e-16 ***
DESTIN_GRID824             1.582e+01  1.336e-02  1184.40   <2e-16 ***
DESTIN_GRID826             1.575e+01  6.213e-03  2535.73   <2e-16 ***
DESTIN_GRID827             1.566e+01  6.362e-03  2460.94   <2e-16 ***
DESTIN_GRID828             1.591e+01  5.020e-03  3169.21   <2e-16 ***
DESTIN_GRID829             1.526e+01  8.257e-03  1848.61   <2e-16 ***
DESTIN_GRID830             1.438e+01  1.272e-02  1130.20   <2e-16 ***
DESTIN_GRID831             1.759e+01  2.956e-03  5950.63   <2e-16 ***
DESTIN_GRID832             1.758e+01  3.619e-03  4857.07   <2e-16 ***
DESTIN_GRID835             1.528e+01  1.928e-02   792.76   <2e-16 ***
DESTIN_GRID844             1.545e+01  1.784e-02   866.21   <2e-16 ***
DESTIN_GRID846             1.574e+01  7.050e-03  2232.28   <2e-16 ***
DESTIN_GRID847             1.662e+01  4.696e-03  3538.65   <2e-16 ***
DESTIN_GRID848             1.548e+01  6.390e-03  2422.03   <2e-16 ***
DESTIN_GRID849             1.493e+01  8.273e-03  1804.50   <2e-16 ***
DESTIN_GRID850             1.574e+01  5.855e-03  2687.76   <2e-16 ***
DESTIN_GRID851             1.540e+01  6.256e-03  2461.91   <2e-16 ***
DESTIN_GRID852             1.516e+01  8.377e-03  1809.46   <2e-16 ***
DESTIN_GRID853             1.602e+01  8.006e-03  2001.17   <2e-16 ***
DESTIN_GRID854             1.592e+01  1.411e-02  1128.66   <2e-16 ***
DESTIN_GRID855             1.517e+01  1.951e-02   777.73   <2e-16 ***
DESTIN_GRID856             1.432e+01  3.127e-02   457.97   <2e-16 ***
DESTIN_GRID866             1.616e+01  9.996e-03  1617.03   <2e-16 ***
DESTIN_GRID867             1.701e+01  4.746e-03  3582.80   <2e-16 ***
DESTIN_GRID868             1.664e+01  5.470e-03  3042.27   <2e-16 ***
DESTIN_GRID869             1.756e+01  5.100e-03  3442.28   <2e-16 ***
DESTIN_GRID870             1.717e+01  3.267e-03  5254.63   <2e-16 ***
DESTIN_GRID871             1.731e+01  4.015e-03  4311.84   <2e-16 ***
DESTIN_GRID872             1.581e+01  5.696e-03  2776.62   <2e-16 ***
DESTIN_GRID873             1.544e+01  7.935e-03  1945.64   <2e-16 ***
DESTIN_GRID874             1.425e+01  1.323e-02  1077.08   <2e-16 ***
DESTIN_GRID875             1.442e+01  2.820e-02   511.37   <2e-16 ***
DESTIN_GRID876             1.510e+01  1.910e-02   790.34   <2e-16 ***
DESTIN_GRID877             1.595e+01  1.408e-02  1132.33   <2e-16 ***
DESTIN_GRID887             1.574e+01  8.314e-03  1893.77   <2e-16 ***
DESTIN_GRID888             1.440e+01  1.357e-02  1061.23   <2e-16 ***
DESTIN_GRID889             1.531e+01  1.279e-02  1197.42   <2e-16 ***
DESTIN_GRID890             1.623e+01  5.025e-03  3230.73   <2e-16 ***
DESTIN_GRID891             1.480e+01  1.423e-02  1040.32   <2e-16 ***
DESTIN_GRID893             1.611e+01  4.640e-03  3472.84   <2e-16 ***
DESTIN_GRID894             1.448e+01  1.169e-02  1238.11   <2e-16 ***
DESTIN_GRID895             1.560e+01  9.423e-03  1655.38   <2e-16 ***
DESTIN_GRID896             1.387e+01  3.000e-02   462.42   <2e-16 ***
DESTIN_GRID897             1.391e+01  2.719e-02   511.44   <2e-16 ***
DESTIN_GRID898             1.580e+01  1.413e-02  1118.20   <2e-16 ***
DESTIN_GRID908             1.642e+01  1.046e-02  1569.42   <2e-16 ***
DESTIN_GRID909             1.560e+01  6.535e-03  2387.48   <2e-16 ***
DESTIN_GRID910             1.473e+01  1.189e-02  1239.02   <2e-16 ***
DESTIN_GRID911             1.710e+01  4.159e-03  4111.49   <2e-16 ***
DESTIN_GRID912             1.535e+01  7.246e-03  2118.54   <2e-16 ***
DESTIN_GRID915             1.557e+01  6.081e-03  2559.98   <2e-16 ***
DESTIN_GRID917             1.676e+01  5.770e-03  2904.05   <2e-16 ***
DESTIN_GRID918             1.335e+01  3.990e-02   334.63   <2e-16 ***
DESTIN_GRID919             1.508e+01  1.457e-02  1035.00   <2e-16 ***
DESTIN_GRID928             1.462e+01  1.703e-02   858.39   <2e-16 ***
DESTIN_GRID929             1.548e+01  6.994e-03  2213.82   <2e-16 ***
DESTIN_GRID930             1.664e+01  4.001e-03  4159.88   <2e-16 ***
DESTIN_GRID931             1.539e+01  1.024e-02  1503.12   <2e-16 ***
DESTIN_GRID932             1.381e+01  2.435e-02   567.16   <2e-16 ***
DESTIN_GRID933             1.577e+01  7.595e-03  2076.32   <2e-16 ***
DESTIN_GRID934             1.535e+01  8.232e-03  1864.61   <2e-16 ***
DESTIN_GRID935             1.757e+01  2.921e-03  6014.98   <2e-16 ***
DESTIN_GRID938             1.206e+01  1.741e-01    69.29   <2e-16 ***
DESTIN_GRID939             1.785e+01  3.769e-03  4735.15   <2e-16 ***
DESTIN_GRID940             1.499e+01  1.865e-02   803.64   <2e-16 ***
DESTIN_GRID949             1.467e+01  1.448e-02  1013.59   <2e-16 ***
DESTIN_GRID950             1.665e+01  5.099e-03  3265.40   <2e-16 ***
DESTIN_GRID951             1.744e+01  3.074e-03  5672.34   <2e-16 ***
DESTIN_GRID952             1.637e+01  7.784e-03  2103.43   <2e-16 ***
DESTIN_GRID953             1.590e+01  8.618e-03  1845.39   <2e-16 ***
DESTIN_GRID954             1.395e+01  1.712e-02   814.53   <2e-16 ***
DESTIN_GRID955             1.670e+01  4.605e-03  3626.22   <2e-16 ***
DESTIN_GRID956             1.485e+01  9.217e-03  1611.33   <2e-16 ***
DESTIN_GRID957             1.533e+01  8.514e-03  1800.71   <2e-16 ***
DESTIN_GRID959             1.531e+01  2.195e-02   697.68   <2e-16 ***
DESTIN_GRID961             1.541e+01  1.197e-02  1287.78   <2e-16 ***
DESTIN_GRID962             1.755e+01  4.924e-03  3564.03   <2e-16 ***
DESTIN_GRID970             1.595e+01  6.284e-03  2538.38   <2e-16 ***
DESTIN_GRID971             1.610e+01  4.730e-03  3403.05   <2e-16 ***
DESTIN_GRID972             1.544e+01  7.058e-03  2187.36   <2e-16 ***
DESTIN_GRID974             1.514e+01  1.050e-02  1442.21   <2e-16 ***
DESTIN_GRID975             1.413e+01  1.608e-02   879.03   <2e-16 ***
DESTIN_GRID976             1.474e+01  1.121e-02  1314.41   <2e-16 ***
DESTIN_GRID977             1.543e+01  6.501e-03  2372.75   <2e-16 ***
DESTIN_GRID978             1.510e+01  1.082e-02  1395.57   <2e-16 ***
DESTIN_GRID982             1.493e+01  1.080e-02  1382.29   <2e-16 ***
DESTIN_GRID991             1.602e+01  6.885e-03  2326.32   <2e-16 ***
DESTIN_GRID992             1.617e+01  5.542e-03  2917.32   <2e-16 ***
DESTIN_GRID993             1.469e+01  9.583e-03  1533.03   <2e-16 ***
DESTIN_GRID994             1.468e+01  1.124e-02  1306.26   <2e-16 ***
DESTIN_GRID995             1.551e+01  7.987e-03  1942.17   <2e-16 ***
DESTIN_GRID996             1.509e+01  1.084e-02  1391.59   <2e-16 ***
DESTIN_GRID997             1.557e+01  1.308e-02  1190.72   <2e-16 ***
DESTIN_GRID998             1.601e+01  5.945e-03  2693.41   <2e-16 ***
DESTIN_GRID999             1.513e+01  9.776e-03  1547.17   <2e-16 ***
DESTIN_GRID1001            1.549e+01  1.549e-02   999.78   <2e-16 ***
DESTIN_GRID1003            1.745e+01  3.525e-03  4949.32   <2e-16 ***
DESTIN_GRID1004            1.669e+01  4.870e-03  3428.13   <2e-16 ***
DESTIN_GRID1011            1.567e+01  1.195e-02  1310.91   <2e-16 ***
DESTIN_GRID1012            1.687e+01  5.994e-03  2814.66   <2e-16 ***
DESTIN_GRID1013            1.556e+01  7.611e-03  2044.58   <2e-16 ***
DESTIN_GRID1014            1.394e+01  1.580e-02   882.27   <2e-16 ***
DESTIN_GRID1015            1.683e+01  4.471e-03  3764.00   <2e-16 ***
DESTIN_GRID1016            1.710e+01  4.113e-03  4157.19   <2e-16 ***
DESTIN_GRID1018            1.520e+01  1.207e-02  1258.85   <2e-16 ***
DESTIN_GRID1019            1.606e+01  5.910e-03  2717.73   <2e-16 ***
DESTIN_GRID1023            1.482e+01  1.302e-02  1138.62   <2e-16 ***
DESTIN_GRID1024            1.594e+01  6.485e-03  2458.54   <2e-16 ***
DESTIN_GRID1025            1.207e+01  6.458e-02   186.91   <2e-16 ***
DESTIN_GRID1033            1.609e+01  6.850e-03  2349.51   <2e-16 ***
DESTIN_GRID1034            1.652e+01  4.742e-03  3484.39   <2e-16 ***
DESTIN_GRID1035            1.634e+01  4.941e-03  3308.24   <2e-16 ***
DESTIN_GRID1036            1.696e+01  4.152e-03  4083.50   <2e-16 ***
DESTIN_GRID1037            1.584e+01  6.225e-03  2544.65   <2e-16 ***
DESTIN_GRID1043            1.619e+01  1.086e-02  1490.03   <2e-16 ***
DESTIN_GRID1045            1.587e+01  5.918e-03  2681.01   <2e-16 ***
DESTIN_GRID1046            1.625e+01  5.786e-03  2808.05   <2e-16 ***
DESTIN_GRID1053            1.676e+01  4.983e-03  3363.76   <2e-16 ***
DESTIN_GRID1054            1.637e+01  5.145e-03  3182.53   <2e-16 ***
DESTIN_GRID1055            1.536e+01  8.086e-03  1899.92   <2e-16 ***
DESTIN_GRID1056            1.475e+01  1.099e-02  1342.22   <2e-16 ***
DESTIN_GRID1064            1.298e+01  8.707e-02   149.09   <2e-16 ***
DESTIN_GRID1066            1.689e+01  4.138e-03  4080.87   <2e-16 ***
DESTIN_GRID1067            1.682e+01  6.486e-03  2593.95   <2e-16 ***
DESTIN_GRID1074            1.472e+01  1.354e-02  1087.21   <2e-16 ***
DESTIN_GRID1075            1.628e+01  6.169e-03  2639.15   <2e-16 ***
DESTIN_GRID1076            1.547e+01  6.823e-03  2267.30   <2e-16 ***
DESTIN_GRID1077            1.476e+01  1.022e-02  1444.05   <2e-16 ***
DESTIN_GRID1079            1.616e+01  6.025e-03  2681.82   <2e-16 ***
DESTIN_GRID1085            1.457e+01  5.622e-02   259.25   <2e-16 ***
DESTIN_GRID1087            1.597e+01  6.100e-03  2618.55   <2e-16 ***
DESTIN_GRID1088            1.646e+01  5.509e-03  2987.69   <2e-16 ***
DESTIN_GRID1094            1.293e+01  4.816e-02   268.53   <2e-16 ***
DESTIN_GRID1095            1.575e+01  1.336e-02  1178.72   <2e-16 ***
DESTIN_GRID1096            1.515e+01  1.473e-02  1028.56   <2e-16 ***
DESTIN_GRID1097            1.639e+01  4.443e-03  3688.41   <2e-16 ***
DESTIN_GRID1098            1.393e+01  2.160e-02   644.82   <2e-16 ***
DESTIN_GRID1099            1.550e+01  7.813e-03  1984.24   <2e-16 ***
DESTIN_GRID1105            1.720e+01  8.743e-03  1967.47   <2e-16 ***
DESTIN_GRID1106            1.270e+01  8.485e-02   149.72   <2e-16 ***
DESTIN_GRID1107            1.599e+01  7.411e-03  2157.97   <2e-16 ***
DESTIN_GRID1108            1.815e+01  2.646e-03  6860.22   <2e-16 ***
DESTIN_GRID1109            1.450e+01  2.089e-02   693.98   <2e-16 ***
DESTIN_GRID1116            1.559e+01  8.697e-03  1792.39   <2e-16 ***
DESTIN_GRID1117            1.586e+01  6.997e-03  2267.53   <2e-16 ***
DESTIN_GRID1118            1.406e+01  1.759e-02   798.97   <2e-16 ***
DESTIN_GRID1119            1.468e+01  1.027e-02  1429.10   <2e-16 ***
DESTIN_GRID1120            1.448e+01  1.662e-02   871.31   <2e-16 ***
DESTIN_GRID1129            1.548e+01  7.774e-03  1991.56   <2e-16 ***
DESTIN_GRID1130            1.614e+01  5.634e-03  2864.01   <2e-16 ***
DESTIN_GRID1131            1.768e+01  5.263e-03  3359.89   <2e-16 ***
DESTIN_GRID1136            1.685e+01  4.951e-03  3402.59   <2e-16 ***
DESTIN_GRID1138            1.446e+01  1.662e-02   869.60   <2e-16 ***
DESTIN_GRID1139            1.528e+01  7.003e-03  2182.74   <2e-16 ***
DESTIN_GRID1141            1.551e+01  7.740e-03  2003.33   <2e-16 ***
DESTIN_GRID1148            1.468e+01  2.922e-02   502.39   <2e-16 ***
DESTIN_GRID1149            1.512e+01  1.315e-02  1149.52   <2e-16 ***
DESTIN_GRID1150            1.541e+01  6.688e-03  2304.61   <2e-16 ***
DESTIN_GRID1151            1.603e+01  6.539e-03  2450.54   <2e-16 ***
DESTIN_GRID1158            1.474e+01  1.042e-02  1414.64   <2e-16 ***
DESTIN_GRID1159            1.484e+01  8.755e-03  1695.67   <2e-16 ***
DESTIN_GRID1160            1.637e+01  4.397e-03  3722.95   <2e-16 ***
DESTIN_GRID1171            1.608e+01  5.864e-03  2741.46   <2e-16 ***
DESTIN_GRID1172            1.754e+01  3.238e-03  5416.45   <2e-16 ***
DESTIN_GRID1173            1.700e+01  5.171e-03  3287.05   <2e-16 ***
DESTIN_GRID1174            1.419e+01  4.144e-02   342.31   <2e-16 ***
DESTIN_GRID1178            1.698e+01  3.943e-03  4305.92   <2e-16 ***
DESTIN_GRID1179            1.589e+01  5.326e-03  2983.95   <2e-16 ***
DESTIN_GRID1180            1.589e+01  5.063e-03  3137.54   <2e-16 ***
DESTIN_GRID1181            1.484e+01  8.938e-03  1660.61   <2e-16 ***
DESTIN_GRID1183            1.665e+01  5.028e-03  3311.36   <2e-16 ***
DESTIN_GRID1190            1.473e+01  2.869e-02   513.41   <2e-16 ***
DESTIN_GRID1192            1.632e+01  5.390e-03  3028.70   <2e-16 ***
DESTIN_GRID1193            1.635e+01  5.445e-03  3002.54   <2e-16 ***
DESTIN_GRID1194            1.678e+01  6.131e-03  2736.60   <2e-16 ***
DESTIN_GRID1200            1.561e+01  7.045e-03  2215.93   <2e-16 ***
DESTIN_GRID1201            1.534e+01  7.357e-03  2085.28   <2e-16 ***
DESTIN_GRID1203            1.536e+01  7.803e-03  1967.80   <2e-16 ***
DESTIN_GRID1204            1.532e+01  8.819e-03  1736.81   <2e-16 ***
DESTIN_GRID1211            1.116e+01  2.774e-01    40.23   <2e-16 ***
DESTIN_GRID1214            1.523e+01  8.499e-03  1792.04   <2e-16 ***
DESTIN_GRID1215            1.609e+01  1.094e-02  1471.28   <2e-16 ***
DESTIN_GRID1216            1.633e+01  1.003e-02  1627.80   <2e-16 ***
DESTIN_GRID1220            1.584e+01  6.182e-03  2561.82   <2e-16 ***
DESTIN_GRID1221            1.630e+01  4.390e-03  3712.66   <2e-16 ***
DESTIN_GRID1222            1.509e+01  1.229e-02  1228.08   <2e-16 ***
DESTIN_GRID1223            1.479e+01  1.109e-02  1333.32   <2e-16 ***
DESTIN_GRID1224            1.547e+01  7.924e-03  1952.20   <2e-16 ***
DESTIN_GRID1231            1.365e+01  5.721e-02   238.62   <2e-16 ***
DESTIN_GRID1232            1.537e+01  2.444e-02   629.01   <2e-16 ***
DESTIN_GRID1235            1.605e+01  5.982e-03  2682.64   <2e-16 ***
DESTIN_GRID1236            1.602e+01  8.262e-03  1939.15   <2e-16 ***
DESTIN_GRID1241            1.461e+01  1.159e-02  1260.17   <2e-16 ***
DESTIN_GRID1242            1.490e+01  8.956e-03  1663.67   <2e-16 ***
DESTIN_GRID1243            1.591e+01  5.290e-03  3008.49   <2e-16 ***
DESTIN_GRID1246            1.521e+01  8.515e-03  1786.03   <2e-16 ***
DESTIN_GRID1256            1.521e+01  8.547e-03  1779.71   <2e-16 ***
DESTIN_GRID1257            1.631e+01  6.239e-03  2615.13   <2e-16 ***
DESTIN_GRID1258            1.715e+01  5.418e-03  3165.44   <2e-16 ***
DESTIN_GRID1262            1.438e+01  1.254e-02  1146.81   <2e-16 ***
DESTIN_GRID1263            1.658e+01  3.844e-03  4313.01   <2e-16 ***
DESTIN_GRID1264            1.553e+01  7.462e-03  2080.78   <2e-16 ***
DESTIN_GRID1265            1.566e+01  7.811e-03  2005.03   <2e-16 ***
DESTIN_GRID1266            1.589e+01  6.867e-03  2313.83   <2e-16 ***
DESTIN_GRID1267            1.448e+01  1.605e-02   902.08   <2e-16 ***
DESTIN_GRID1272            1.168e+01  1.105e-01   105.73   <2e-16 ***
DESTIN_GRID1273            1.627e+01  7.247e-03  2245.27   <2e-16 ***
DESTIN_GRID1277            1.651e+01  4.607e-03  3583.97   <2e-16 ***
DESTIN_GRID1278            1.618e+01  6.246e-03  2591.03   <2e-16 ***
DESTIN_GRID1283            1.701e+01  3.851e-03  4417.14   <2e-16 ***
DESTIN_GRID1284            1.652e+01  4.133e-03  3997.53   <2e-16 ***
DESTIN_GRID1285            1.616e+01  4.750e-03  3401.45   <2e-16 ***
DESTIN_GRID1286            1.515e+01  9.730e-03  1557.16   <2e-16 ***
DESTIN_GRID1289            1.311e+01  3.716e-02   352.88   <2e-16 ***
DESTIN_GRID1293            1.201e+01  7.375e-02   162.87   <2e-16 ***
DESTIN_GRID1294            1.597e+01  8.630e-03  1850.40   <2e-16 ***
DESTIN_GRID1295            1.399e+01  2.226e-02   628.41   <2e-16 ***
DESTIN_GRID1298            1.554e+01  7.013e-03  2215.86   <2e-16 ***
DESTIN_GRID1299            1.546e+01  8.844e-03  1748.70   <2e-16 ***
DESTIN_GRID1304            1.590e+01  6.002e-03  2649.92   <2e-16 ***
DESTIN_GRID1305            1.607e+01  4.518e-03  3557.62   <2e-16 ***
DESTIN_GRID1307            1.472e+01  1.924e-02   765.28   <2e-16 ***
DESTIN_GRID1308            1.616e+01  5.668e-03  2850.85   <2e-16 ***
DESTIN_GRID1310            1.090e+01  1.890e-01    57.69   <2e-16 ***
DESTIN_GRID1316            1.436e+01  1.575e-02   911.70   <2e-16 ***
DESTIN_GRID1317            1.433e+01  1.313e-02  1091.58   <2e-16 ***
DESTIN_GRID1318            1.403e+01  1.579e-02   888.99   <2e-16 ***
DESTIN_GRID1319            1.704e+01  3.770e-03  4519.92   <2e-16 ***
DESTIN_GRID1320            1.478e+01  1.347e-02  1096.90   <2e-16 ***
DESTIN_GRID1324            1.599e+01  1.558e-02  1025.97   <2e-16 ***
DESTIN_GRID1325            1.424e+01  1.420e-02  1002.40   <2e-16 ***
DESTIN_GRID1326            1.564e+01  5.723e-03  2732.21   <2e-16 ***
DESTIN_GRID1327            1.579e+01  5.422e-03  2911.78   <2e-16 ***
DESTIN_GRID1328            1.567e+01  6.579e-03  2380.99   <2e-16 ***
DESTIN_GRID1329            1.570e+01  8.652e-03  1814.51   <2e-16 ***
DESTIN_GRID1330            1.699e+01  5.425e-03  3132.31   <2e-16 ***
DESTIN_GRID1331            1.059e+01  2.582e-01    41.02   <2e-16 ***
DESTIN_GRID1333            1.420e+01  1.585e-02   896.27   <2e-16 ***
DESTIN_GRID1334            1.479e+01  1.287e-02  1149.15   <2e-16 ***
DESTIN_GRID1335            1.670e+01  5.712e-03  2923.72   <2e-16 ***
DESTIN_GRID1336            1.305e+01  5.586e-02   233.66   <2e-16 ***
DESTIN_GRID1337            1.331e+01  2.936e-02   453.38   <2e-16 ***
DESTIN_GRID1338            1.307e+01  2.660e-02   491.40   <2e-16 ***
DESTIN_GRID1339            1.671e+01  4.082e-03  4094.14   <2e-16 ***
DESTIN_GRID1340            1.520e+01  9.204e-03  1651.42   <2e-16 ***
DESTIN_GRID1341            1.159e+01  9.625e-02   120.43   <2e-16 ***
DESTIN_GRID1346            1.562e+01  7.275e-03  2146.82   <2e-16 ***
DESTIN_GRID1347            1.664e+01  3.946e-03  4218.58   <2e-16 ***
DESTIN_GRID1348            1.538e+01  6.751e-03  2278.66   <2e-16 ***
DESTIN_GRID1349            1.638e+01  5.496e-03  2981.43   <2e-16 ***
DESTIN_GRID1350            1.527e+01  1.258e-02  1213.42   <2e-16 ***
DESTIN_GRID1353            1.576e+01  6.332e-03  2489.36   <2e-16 ***
DESTIN_GRID1354            1.452e+01  1.184e-02  1226.35   <2e-16 ***
DESTIN_GRID1355            1.480e+01  1.102e-02  1343.24   <2e-16 ***
DESTIN_GRID1357            1.434e+01  1.866e-02   768.63   <2e-16 ***
DESTIN_GRID1358            1.669e+01  4.136e-03  4035.76   <2e-16 ***
DESTIN_GRID1359            1.547e+01  6.715e-03  2303.36   <2e-16 ***
DESTIN_GRID1360            1.530e+01  7.473e-03  2046.60   <2e-16 ***
DESTIN_GRID1361            1.546e+01  8.794e-03  1758.48   <2e-16 ***
DESTIN_GRID1362            1.402e+01  2.905e-02   482.75   <2e-16 ***
DESTIN_GRID1368            1.472e+01  9.010e-03  1633.71   <2e-16 ***
DESTIN_GRID1369            1.481e+01  8.687e-03  1705.24   <2e-16 ***
DESTIN_GRID1370            1.664e+01  4.064e-03  4095.09   <2e-16 ***
DESTIN_GRID1371            1.567e+01  7.774e-03  2015.37   <2e-16 ***
DESTIN_GRID1372            1.573e+01  7.166e-03  2195.36   <2e-16 ***
DESTIN_GRID1373            1.285e+01  3.251e-02   395.23   <2e-16 ***
DESTIN_GRID1374            1.396e+01  1.439e-02   970.31   <2e-16 ***
DESTIN_GRID1375            1.589e+01  7.342e-03  2163.81   <2e-16 ***
DESTIN_GRID1376            1.416e+01  1.688e-02   838.48   <2e-16 ***
DESTIN_GRID1379            1.232e+01  6.316e-02   195.05   <2e-16 ***
DESTIN_GRID1380            1.736e+01  3.137e-03  5533.74   <2e-16 ***
DESTIN_GRID1381            1.772e+01  2.843e-03  6233.82   <2e-16 ***
DESTIN_GRID1382            1.681e+01  4.653e-03  3611.86   <2e-16 ***
DESTIN_GRID1383            1.411e+01  1.944e-02   725.58   <2e-16 ***
DESTIN_GRID1388            1.547e+01  6.535e-03  2366.60   <2e-16 ***
DESTIN_GRID1389            1.505e+01  7.342e-03  2049.70   <2e-16 ***
DESTIN_GRID1390            1.538e+01  6.975e-03  2204.99   <2e-16 ***
DESTIN_GRID1391            1.644e+01  5.174e-03  3177.39   <2e-16 ***
DESTIN_GRID1392            1.624e+01  1.243e-02  1306.52   <2e-16 ***
DESTIN_GRID1393            1.507e+01  8.668e-03  1739.07   <2e-16 ***
DESTIN_GRID1394            1.545e+01  6.329e-03  2441.36   <2e-16 ***
DESTIN_GRID1395            1.520e+01  7.177e-03  2117.70   <2e-16 ***
DESTIN_GRID1396            1.593e+01  5.432e-03  2932.81   <2e-16 ***
DESTIN_GRID1397            1.512e+01  7.706e-03  1962.08   <2e-16 ***
DESTIN_GRID1398            1.468e+01  1.394e-02  1053.29   <2e-16 ***
DESTIN_GRID1400            1.481e+01  1.116e-02  1327.94   <2e-16 ***
DESTIN_GRID1401            1.663e+01  3.697e-03  4496.91   <2e-16 ***
DESTIN_GRID1402            1.591e+01  5.597e-03  2843.43   <2e-16 ***
DESTIN_GRID1404            1.512e+01  2.186e-02   691.74   <2e-16 ***
DESTIN_GRID1410            1.638e+01  4.220e-03  3880.92   <2e-16 ***
DESTIN_GRID1411            1.540e+01  7.000e-03  2199.93   <2e-16 ***
DESTIN_GRID1412            1.638e+01  4.494e-03  3643.98   <2e-16 ***
DESTIN_GRID1413            1.608e+01  5.659e-03  2840.99   <2e-16 ***
DESTIN_GRID1414            1.558e+01  6.060e-03  2571.88   <2e-16 ***
DESTIN_GRID1415            1.586e+01  5.605e-03  2830.69   <2e-16 ***
DESTIN_GRID1416            1.546e+01  6.894e-03  2241.77   <2e-16 ***
DESTIN_GRID1417            1.551e+01  5.864e-03  2645.83   <2e-16 ***
DESTIN_GRID1418            1.563e+01  5.789e-03  2699.92   <2e-16 ***
DESTIN_GRID1419            1.521e+01  7.858e-03  1936.10   <2e-16 ***
DESTIN_GRID1422            1.564e+01  6.288e-03  2486.99   <2e-16 ***
DESTIN_GRID1423            1.614e+01  5.291e-03  3050.83   <2e-16 ***
DESTIN_GRID1430            1.613e+01  5.235e-03  3081.14   <2e-16 ***
DESTIN_GRID1431            1.652e+01  4.027e-03  4102.84   <2e-16 ***
DESTIN_GRID1432            1.620e+01  4.495e-03  3603.44   <2e-16 ***
DESTIN_GRID1433            1.556e+01  9.311e-03  1671.36   <2e-16 ***
DESTIN_GRID1434            1.648e+01  4.392e-03  3751.75   <2e-16 ***
DESTIN_GRID1435            1.598e+01  4.980e-03  3208.28   <2e-16 ***
DESTIN_GRID1436            1.455e+01  1.064e-02  1367.71   <2e-16 ***
DESTIN_GRID1437            1.536e+01  6.489e-03  2367.78   <2e-16 ***
DESTIN_GRID1438            1.595e+01  4.516e-03  3532.18   <2e-16 ***
DESTIN_GRID1439            1.671e+01  3.816e-03  4377.59   <2e-16 ***
DESTIN_GRID1440            1.617e+01  6.274e-03  2578.09   <2e-16 ***
DESTIN_GRID1442            1.402e+01  1.653e-02   848.04   <2e-16 ***
DESTIN_GRID1443            1.583e+01  5.949e-03  2661.03   <2e-16 ***
DESTIN_GRID1444            1.663e+01  5.994e-03  2773.58   <2e-16 ***
DESTIN_GRID1452            1.679e+01  3.719e-03  4515.43   <2e-16 ***
DESTIN_GRID1453            1.592e+01  5.258e-03  3028.33   <2e-16 ***
DESTIN_GRID1454            1.481e+01  1.123e-02  1319.38   <2e-16 ***
DESTIN_GRID1455            1.559e+01  7.128e-03  2187.14   <2e-16 ***
DESTIN_GRID1456            1.581e+01  5.898e-03  2679.77   <2e-16 ***
DESTIN_GRID1457            1.651e+01  4.633e-03  3564.32   <2e-16 ***
DESTIN_GRID1458            1.731e+01  3.054e-03  5668.77   <2e-16 ***
DESTIN_GRID1459            1.474e+01  8.195e-03  1798.17   <2e-16 ***
DESTIN_GRID1460            1.598e+01  4.598e-03  3475.88   <2e-16 ***
DESTIN_GRID1461            1.575e+01  6.655e-03  2366.59   <2e-16 ***
DESTIN_GRID1464            1.552e+01  7.150e-03  2170.35   <2e-16 ***
DESTIN_GRID1465            1.508e+01  1.051e-02  1435.43   <2e-16 ***
DESTIN_GRID1472            1.562e+01  7.279e-03  2145.79   <2e-16 ***
DESTIN_GRID1473            1.657e+01  4.092e-03  4050.20   <2e-16 ***
DESTIN_GRID1474            1.653e+01  3.879e-03  4261.63   <2e-16 ***
DESTIN_GRID1475            1.629e+01  4.463e-03  3650.57   <2e-16 ***
DESTIN_GRID1476            1.537e+01  7.205e-03  2134.03   <2e-16 ***
DESTIN_GRID1477            1.727e+01  2.957e-03  5841.98   <2e-16 ***
DESTIN_GRID1478            1.567e+01  5.341e-03  2934.80   <2e-16 ***
DESTIN_GRID1479            1.486e+01  7.550e-03  1967.79   <2e-16 ***
DESTIN_GRID1480            1.717e+01  3.030e-03  5667.46   <2e-16 ***
DESTIN_GRID1481            1.582e+01  6.032e-03  2622.62   <2e-16 ***
DESTIN_GRID1482            1.678e+01  5.063e-03  3314.05   <2e-16 ***
DESTIN_GRID1485            1.465e+01  1.247e-02  1175.03   <2e-16 ***
DESTIN_GRID1494            1.641e+01  4.643e-03  3535.50   <2e-16 ***
DESTIN_GRID1495            1.549e+01  6.125e-03  2528.87   <2e-16 ***
DESTIN_GRID1496            1.650e+01  3.903e-03  4227.76   <2e-16 ***
DESTIN_GRID1497            1.530e+01  7.369e-03  2076.40   <2e-16 ***
DESTIN_GRID1498            1.556e+01  6.266e-03  2482.98   <2e-16 ***
DESTIN_GRID1499            1.598e+01  4.657e-03  3431.30   <2e-16 ***
DESTIN_GRID1500            1.532e+01  8.449e-03  1813.34   <2e-16 ***
DESTIN_GRID1501            1.622e+01  4.236e-03  3828.03   <2e-16 ***
DESTIN_GRID1502            1.618e+01  4.557e-03  3551.16   <2e-16 ***
DESTIN_GRID1506            1.266e+01  6.290e-02   201.22   <2e-16 ***
DESTIN_GRID1515            1.523e+01  1.379e-02  1104.54   <2e-16 ***
DESTIN_GRID1516            1.660e+01  3.889e-03  4267.95   <2e-16 ***
DESTIN_GRID1517            1.561e+01  6.573e-03  2375.11   <2e-16 ***
DESTIN_GRID1518            1.509e+01  7.905e-03  1908.51   <2e-16 ***
DESTIN_GRID1519            1.560e+01  7.931e-03  1967.24   <2e-16 ***
DESTIN_GRID1520            1.572e+01  5.437e-03  2891.30   <2e-16 ***
DESTIN_GRID1521            1.508e+01  7.540e-03  1999.95   <2e-16 ***
DESTIN_GRID1522            1.595e+01  5.032e-03  3170.09   <2e-16 ***
DESTIN_GRID1523            1.712e+01  4.545e-03  3766.89   <2e-16 ***
DESTIN_GRID1524            1.500e+01  1.158e-02  1294.80   <2e-16 ***
DESTIN_GRID1527            1.341e+01  2.855e-02   469.67   <2e-16 ***
DESTIN_GRID1535            1.401e+01  5.036e-02   278.21   <2e-16 ***
DESTIN_GRID1536            1.418e+01  2.168e-02   653.95   <2e-16 ***
DESTIN_GRID1537            1.597e+01  6.049e-03  2640.36   <2e-16 ***
DESTIN_GRID1538            1.580e+01  5.315e-03  2973.68   <2e-16 ***
DESTIN_GRID1539            1.592e+01  4.768e-03  3338.58   <2e-16 ***
DESTIN_GRID1540            1.537e+01  6.214e-03  2473.11   <2e-16 ***
DESTIN_GRID1541            1.636e+01  6.537e-03  2502.98   <2e-16 ***
DESTIN_GRID1542            1.505e+01  9.580e-03  1570.68   <2e-16 ***
DESTIN_GRID1543            1.478e+01  2.555e-02   578.72   <2e-16 ***
DESTIN_GRID1544            1.525e+01  8.993e-03  1695.46   <2e-16 ***
DESTIN_GRID1547            1.503e+01  1.482e-02  1014.35   <2e-16 ***
DESTIN_GRID1556            1.351e+01  5.896e-02   229.07   <2e-16 ***
DESTIN_GRID1557            1.464e+01  1.579e-02   926.86   <2e-16 ***
DESTIN_GRID1558            1.613e+01  1.242e-02  1298.74   <2e-16 ***
DESTIN_GRID1559            1.636e+01  4.187e-03  3907.88   <2e-16 ***
DESTIN_GRID1560            1.642e+01  4.067e-03  4038.06   <2e-16 ***
DESTIN_GRID1561            1.582e+01  6.505e-03  2432.20   <2e-16 ***
DESTIN_GRID1562            1.349e+01  1.673e-02   806.24   <2e-16 ***
DESTIN_GRID1563            1.459e+01  9.171e-03  1590.68   <2e-16 ***
DESTIN_GRID1564            1.506e+01  8.220e-03  1832.64   <2e-16 ***
DESTIN_GRID1565            1.582e+01  6.330e-03  2499.44   <2e-16 ***
DESTIN_GRID1566            1.416e+01  1.632e-02   867.95   <2e-16 ***
DESTIN_GRID1567            1.465e+01  1.732e-02   846.21   <2e-16 ***
DESTIN_GRID1568            1.537e+01  1.210e-02  1270.54   <2e-16 ***
DESTIN_GRID1578            1.276e+01  9.904e-02   128.89   <2e-16 ***
DESTIN_GRID1580            1.355e+01  2.369e-02   572.06   <2e-16 ***
DESTIN_GRID1581            1.610e+01  4.886e-03  3294.59   <2e-16 ***
DESTIN_GRID1582            1.626e+01  4.191e-03  3879.66   <2e-16 ***
DESTIN_GRID1583            1.467e+01  1.989e-02   737.29   <2e-16 ***
DESTIN_GRID1584            1.450e+01  1.203e-02  1205.22   <2e-16 ***
DESTIN_GRID1585            1.532e+01  7.574e-03  2023.44   <2e-16 ***
DESTIN_GRID1586            1.606e+01  5.272e-03  3047.01   <2e-16 ***
DESTIN_GRID1589            1.490e+01  1.285e-02  1160.05   <2e-16 ***
DESTIN_GRID1590            1.540e+01  1.314e-02  1172.13   <2e-16 ***
DESTIN_GRID1600            1.546e+01  1.407e-02  1099.02   <2e-16 ***
DESTIN_GRID1601            1.513e+01  7.221e-03  2095.07   <2e-16 ***
DESTIN_GRID1602            1.564e+01  6.657e-03  2349.52   <2e-16 ***
DESTIN_GRID1603            1.664e+01  4.197e-03  3965.32   <2e-16 ***
DESTIN_GRID1604            1.438e+01  1.028e-02  1398.18   <2e-16 ***
DESTIN_GRID1605            1.546e+01  5.826e-03  2653.23   <2e-16 ***
DESTIN_GRID1606            1.501e+01  1.323e-02  1134.71   <2e-16 ***
DESTIN_GRID1607            1.633e+01  4.476e-03  3648.40   <2e-16 ***
DESTIN_GRID1608            1.566e+01  6.298e-03  2486.54   <2e-16 ***
DESTIN_GRID1609            1.633e+01  5.247e-03  3111.97   <2e-16 ***
DESTIN_GRID1610            1.440e+01  2.556e-02   563.17   <2e-16 ***
DESTIN_GRID1622            1.618e+01  1.072e-02  1508.91   <2e-16 ***
DESTIN_GRID1623            1.614e+01  4.508e-03  3580.99   <2e-16 ***
DESTIN_GRID1624            1.673e+01  4.045e-03  4135.26   <2e-16 ***
DESTIN_GRID1625            1.582e+01  5.737e-03  2756.97   <2e-16 ***
DESTIN_GRID1626            1.763e+01  2.840e-03  6207.64   <2e-16 ***
DESTIN_GRID1627            1.457e+01  8.842e-03  1647.48   <2e-16 ***
DESTIN_GRID1628            1.675e+01  3.799e-03  4409.37   <2e-16 ***
DESTIN_GRID1629            1.409e+01  1.403e-02  1004.46   <2e-16 ***
DESTIN_GRID1630            1.462e+01  1.131e-02  1292.39   <2e-16 ***
DESTIN_GRID1631            1.414e+01  1.872e-02   754.93   <2e-16 ***
DESTIN_GRID1642            1.352e+01  3.170e-02   426.60   <2e-16 ***
DESTIN_GRID1643            1.568e+01  5.938e-03  2640.33   <2e-16 ***
DESTIN_GRID1644            1.561e+01  8.033e-03  1942.75   <2e-16 ***
DESTIN_GRID1645            1.552e+01  6.337e-03  2448.83   <2e-16 ***
DESTIN_GRID1646            1.568e+01  7.731e-03  2028.74   <2e-16 ***
DESTIN_GRID1647            1.525e+01  6.155e-03  2477.65   <2e-16 ***
DESTIN_GRID1648            1.543e+01  5.899e-03  2615.86   <2e-16 ***
DESTIN_GRID1649            1.615e+01  4.409e-03  3663.10   <2e-16 ***
DESTIN_GRID1650            1.539e+01  7.406e-03  2078.55   <2e-16 ***
DESTIN_GRID1664            1.199e+01  1.163e-01   103.12   <2e-16 ***
DESTIN_GRID1665            1.629e+01  4.294e-03  3793.31   <2e-16 ***
DESTIN_GRID1666            1.629e+01  4.276e-03  3809.12   <2e-16 ***
DESTIN_GRID1667            1.509e+01  1.576e-02   957.37   <2e-16 ***
DESTIN_GRID1668            1.524e+01  6.812e-03  2237.09   <2e-16 ***
DESTIN_GRID1670            1.596e+01  4.740e-03  3367.86   <2e-16 ***
DESTIN_GRID1671            1.543e+01  1.044e-02  1478.47   <2e-16 ***
DESTIN_GRID1672            1.468e+01  1.157e-02  1268.34   <2e-16 ***
DESTIN_GRID1684            1.586e+01  9.371e-03  1692.20   <2e-16 ***
DESTIN_GRID1685            1.498e+01  8.702e-03  1721.28   <2e-16 ***
DESTIN_GRID1686            1.565e+01  5.839e-03  2680.88   <2e-16 ***
DESTIN_GRID1687            1.614e+01  6.826e-03  2364.88   <2e-16 ***
DESTIN_GRID1688            1.532e+01  6.803e-03  2251.87   <2e-16 ***
DESTIN_GRID1689            1.465e+01  9.678e-03  1514.20   <2e-16 ***
DESTIN_GRID1690            1.421e+01  1.254e-02  1132.82   <2e-16 ***
DESTIN_GRID1691            1.606e+01  4.603e-03  3489.39   <2e-16 ***
DESTIN_GRID1692            1.416e+01  1.350e-02  1049.01   <2e-16 ***
DESTIN_GRID1706            1.553e+01  7.661e-03  2027.62   <2e-16 ***
DESTIN_GRID1707            1.478e+01  8.100e-03  1824.31   <2e-16 ***
DESTIN_GRID1708            1.548e+01  6.319e-03  2450.35   <2e-16 ***
DESTIN_GRID1709            1.617e+01  4.862e-03  3325.54   <2e-16 ***
DESTIN_GRID1710            1.612e+01  5.253e-03  3067.65   <2e-16 ***
DESTIN_GRID1711            1.681e+01  3.739e-03  4495.84   <2e-16 ***
DESTIN_GRID1712            1.593e+01  4.509e-03  3534.39   <2e-16 ***
DESTIN_GRID1713            1.356e+01  1.514e-02   895.21   <2e-16 ***
DESTIN_GRID1714            1.509e+01  8.125e-03  1857.39   <2e-16 ***
DESTIN_GRID1727            1.603e+01  5.509e-03  2910.65   <2e-16 ***
DESTIN_GRID1728            1.604e+01  4.694e-03  3416.24   <2e-16 ***
DESTIN_GRID1729            1.626e+01  4.472e-03  3635.98   <2e-16 ***
DESTIN_GRID1730            1.524e+01  8.731e-03  1745.48   <2e-16 ***
DESTIN_GRID1731            1.602e+01  5.307e-03  3019.53   <2e-16 ***
DESTIN_GRID1732            1.584e+01  4.783e-03  3312.09   <2e-16 ***
DESTIN_GRID1733            1.462e+01  8.068e-03  1812.74   <2e-16 ***
DESTIN_GRID1734            1.580e+01  4.917e-03  3213.02   <2e-16 ***
DESTIN_GRID1735            1.518e+01  1.377e-02  1102.27   <2e-16 ***
DESTIN_GRID1748            1.513e+01  8.800e-03  1719.13   <2e-16 ***
DESTIN_GRID1749            1.634e+01  4.220e-03  3871.30   <2e-16 ***
DESTIN_GRID1750            1.617e+01  4.479e-03  3610.20   <2e-16 ***
DESTIN_GRID1751            1.587e+01  6.296e-03  2520.02   <2e-16 ***
DESTIN_GRID1753            1.616e+01  4.681e-03  3451.84   <2e-16 ***
DESTIN_GRID1754            1.719e+01  3.027e-03  5679.77   <2e-16 ***
DESTIN_GRID1755            1.642e+01  3.747e-03  4381.42   <2e-16 ***
DESTIN_GRID1756            1.549e+01  5.612e-03  2760.80   <2e-16 ***
DESTIN_GRID1757            1.386e+01  2.174e-02   637.60   <2e-16 ***
DESTIN_GRID1769            1.562e+01  6.489e-03  2407.05   <2e-16 ***
DESTIN_GRID1770            1.532e+01  6.813e-03  2248.32   <2e-16 ***
DESTIN_GRID1771            1.643e+01  5.074e-03  3237.88   <2e-16 ***
DESTIN_GRID1772            1.740e+01  6.889e-03  2526.24   <2e-16 ***
DESTIN_GRID1774            1.519e+01  6.995e-03  2171.43   <2e-16 ***
DESTIN_GRID1775            1.468e+01  7.952e-03  1845.79   <2e-16 ***
DESTIN_GRID1776            1.705e+01  3.051e-03  5588.51   <2e-16 ***
DESTIN_GRID1777            1.520e+01  6.910e-03  2200.49   <2e-16 ***
DESTIN_GRID1778            1.423e+01  2.069e-02   687.85   <2e-16 ***
DESTIN_GRID1790            1.637e+01  5.109e-03  3204.16   <2e-16 ***
DESTIN_GRID1791            1.588e+01  5.908e-03  2688.59   <2e-16 ***
DESTIN_GRID1792            1.606e+01  7.028e-03  2284.62   <2e-16 ***
DESTIN_GRID1793            1.606e+01  5.798e-03  2770.17   <2e-16 ***
DESTIN_GRID1794            1.760e+01  7.306e-03  2409.51   <2e-16 ***
DESTIN_GRID1795            1.369e+01  2.145e-02   638.00   <2e-16 ***
DESTIN_GRID1796            1.575e+01  5.531e-03  2846.56   <2e-16 ***
DESTIN_GRID1797            1.541e+01  5.574e-03  2764.94   <2e-16 ***
DESTIN_GRID1798            1.564e+01  5.279e-03  2962.10   <2e-16 ***
DESTIN_GRID1799            1.493e+01  9.024e-03  1654.60   <2e-16 ***
DESTIN_GRID1800            1.323e+01  5.017e-02   263.74   <2e-16 ***
DESTIN_GRID1811            1.546e+01  7.520e-03  2056.05   <2e-16 ***
DESTIN_GRID1812            1.680e+01  3.656e-03  4594.21   <2e-16 ***
DESTIN_GRID1813            1.693e+01  3.592e-03  4714.51   <2e-16 ***
DESTIN_GRID1817            1.421e+01  1.183e-02  1201.28   <2e-16 ***
DESTIN_GRID1818            1.524e+01  6.108e-03  2494.96   <2e-16 ***
DESTIN_GRID1819            1.708e+01  3.071e-03  5562.10   <2e-16 ***
DESTIN_GRID1820            1.259e+01  4.104e-02   306.64   <2e-16 ***
DESTIN_GRID1832            1.681e+01  4.374e-03  3843.29   <2e-16 ***
DESTIN_GRID1833            1.542e+01  6.963e-03  2215.24   <2e-16 ***
DESTIN_GRID1834            1.532e+01  6.801e-03  2252.44   <2e-16 ***
DESTIN_GRID1835            1.547e+01  7.518e-03  2058.30   <2e-16 ***
DESTIN_GRID1837            1.552e+01  1.376e-02  1127.43   <2e-16 ***
DESTIN_GRID1839            1.428e+01  1.149e-02  1242.51   <2e-16 ***
DESTIN_GRID1840            1.680e+01  3.398e-03  4945.32   <2e-16 ***
DESTIN_GRID1841            1.363e+01  2.220e-02   613.90   <2e-16 ***
DESTIN_GRID1842            1.530e+01  1.437e-02  1064.60   <2e-16 ***
DESTIN_GRID1853            1.575e+01  5.949e-03  2648.40   <2e-16 ***
DESTIN_GRID1854            1.612e+01  5.158e-03  3124.80   <2e-16 ***
DESTIN_GRID1855            1.643e+01  4.716e-03  3483.29   <2e-16 ***
DESTIN_GRID1858            1.634e+01  8.548e-03  1911.81   <2e-16 ***
DESTIN_GRID1860            1.478e+01  1.787e-02   826.87   <2e-16 ***
DESTIN_GRID1861            1.548e+01  6.325e-03  2447.59   <2e-16 ***
DESTIN_GRID1874            1.550e+01  9.329e-03  1661.44   <2e-16 ***
DESTIN_GRID1875            1.387e+01  1.967e-02   705.29   <2e-16 ***
DESTIN_GRID1876            1.505e+01  2.159e-02   697.08   <2e-16 ***
DESTIN_GRID1877            1.616e+01  5.044e-03  3203.15   <2e-16 ***
DESTIN_GRID1880            1.543e+01  1.398e-02  1103.61   <2e-16 ***
DESTIN_GRID1882            1.556e+01  6.355e-03  2448.59   <2e-16 ***
DESTIN_GRID1883            1.431e+01  1.909e-02   749.60   <2e-16 ***
DESTIN_GRID1895            1.607e+01  5.634e-03  2851.82   <2e-16 ***
DESTIN_GRID1896            1.522e+01  7.852e-03  1938.38   <2e-16 ***
DESTIN_GRID1897            1.457e+01  1.166e-02  1248.98   <2e-16 ***
DESTIN_GRID1898            1.412e+01  2.380e-02   593.24   <2e-16 ***
DESTIN_GRID1901            1.509e+01  2.095e-02   720.28   <2e-16 ***
DESTIN_GRID1903            1.410e+01  1.693e-02   832.94   <2e-16 ***
DESTIN_GRID1917            1.515e+01  8.797e-03  1721.96   <2e-16 ***
DESTIN_GRID1918            1.636e+01  6.236e-03  2623.25   <2e-16 ***
DESTIN_GRID1919            1.636e+01  4.742e-03  3449.53   <2e-16 ***
DESTIN_GRID1922            1.610e+01  1.023e-02  1573.92   <2e-16 ***
DESTIN_GRID1924            1.393e+01  1.864e-02   747.12   <2e-16 ***
DESTIN_GRID1937            1.560e+01  7.694e-03  2027.05   <2e-16 ***
DESTIN_GRID1938            1.643e+01  4.621e-03  3555.15   <2e-16 ***
DESTIN_GRID1939            1.534e+01  8.098e-03  1893.77   <2e-16 ***
DESTIN_GRID1942            1.470e+01  1.995e-02   736.97   <2e-16 ***
DESTIN_GRID1959            1.524e+01  9.234e-03  1650.88   <2e-16 ***
DESTIN_GRID1960            1.757e+01  2.858e-03  6147.07   <2e-16 ***
DESTIN_GRID1961            1.483e+01  1.003e-02  1478.30   <2e-16 ***
DESTIN_GRID1962            1.575e+01  6.270e-03  2512.78   <2e-16 ***
DESTIN_GRID1964            1.658e+01  1.122e-02  1477.74   <2e-16 ***
DESTIN_GRID1979            1.558e+01  8.552e-03  1822.10   <2e-16 ***
DESTIN_GRID1980            1.550e+01  6.696e-03  2314.89   <2e-16 ***
DESTIN_GRID1981            1.539e+01  7.309e-03  2105.03   <2e-16 ***
DESTIN_GRID1982            1.586e+01  7.171e-03  2212.16   <2e-16 ***
DESTIN_GRID1983            1.573e+01  6.240e-03  2520.33   <2e-16 ***
DESTIN_GRID1984            1.580e+01  6.374e-03  2479.39   <2e-16 ***
DESTIN_GRID1985            1.604e+01  5.824e-03  2754.19   <2e-16 ***
DESTIN_GRID2001            1.565e+01  6.690e-03  2339.30   <2e-16 ***
DESTIN_GRID2002            1.583e+01  5.108e-03  3099.82   <2e-16 ***
DESTIN_GRID2003            1.628e+01  4.502e-03  3615.86   <2e-16 ***
DESTIN_GRID2004            1.658e+01  4.337e-03  3822.09   <2e-16 ***
DESTIN_GRID2005            1.560e+01  6.399e-03  2437.54   <2e-16 ***
DESTIN_GRID2006            1.662e+01  4.685e-03  3547.89   <2e-16 ***
DESTIN_GRID2007            1.340e+01  2.806e-02   477.58   <2e-16 ***
DESTIN_GRID2022            1.630e+01  6.432e-03  2533.35   <2e-16 ***
DESTIN_GRID2023            1.613e+01  4.857e-03  3321.86   <2e-16 ***
DESTIN_GRID2024            1.644e+01  4.132e-03  3979.57   <2e-16 ***
DESTIN_GRID2025            1.535e+01  6.564e-03  2338.24   <2e-16 ***
DESTIN_GRID2026            1.466e+01  1.128e-02  1299.57   <2e-16 ***
DESTIN_GRID2027            1.651e+01  4.594e-03  3593.77   <2e-16 ***
DESTIN_GRID2043            1.486e+01  1.088e-02  1365.25   <2e-16 ***
DESTIN_GRID2044            1.560e+01  6.275e-03  2486.86   <2e-16 ***
DESTIN_GRID2045            1.489e+01  1.197e-02  1244.17   <2e-16 ***
DESTIN_GRID2046            1.650e+01  3.799e-03  4343.56   <2e-16 ***
DESTIN_GRID2047            1.477e+01  9.055e-03  1631.52   <2e-16 ***
DESTIN_GRID2048            1.500e+01  8.369e-03  1792.13   <2e-16 ***
DESTIN_GRID2049            1.321e+01  2.726e-02   484.64   <2e-16 ***
DESTIN_GRID2064            1.558e+01  7.298e-03  2134.47   <2e-16 ***
DESTIN_GRID2065            1.528e+01  7.755e-03  1970.44   <2e-16 ***
DESTIN_GRID2066            1.331e+01  3.124e-02   426.13   <2e-16 ***
DESTIN_GRID2067            1.789e+01  2.641e-03  6774.27   <2e-16 ***
DESTIN_GRID2068            1.483e+01  1.248e-02  1188.59   <2e-16 ***
DESTIN_GRID2069            1.526e+01  8.177e-03  1866.24   <2e-16 ***
DESTIN_GRID2085            1.558e+01  7.917e-03  1968.07   <2e-16 ***
DESTIN_GRID2086            1.694e+01  3.902e-03  4340.77   <2e-16 ***
DESTIN_GRID2087            1.664e+01  4.180e-03  3980.33   <2e-16 ***
DESTIN_GRID2088            1.552e+01  5.782e-03  2684.16   <2e-16 ***
DESTIN_GRID2089            1.503e+01  9.053e-03  1660.28   <2e-16 ***
DESTIN_GRID2090            1.761e+01  2.956e-03  5958.18   <2e-16 ***
DESTIN_GRID2091            1.265e+01  6.170e-02   205.09   <2e-16 ***
DESTIN_GRID2105            1.625e+01  7.541e-02   215.45   <2e-16 ***
DESTIN_GRID2106            1.421e+01  1.516e-02   937.31   <2e-16 ***
DESTIN_GRID2107            1.690e+01  3.967e-03  4258.90   <2e-16 ***
DESTIN_GRID2108            1.648e+01  4.740e-03  3476.60   <2e-16 ***
DESTIN_GRID2109            1.528e+01  6.502e-03  2349.36   <2e-16 ***
DESTIN_GRID2110            1.449e+01  1.188e-02  1219.74   <2e-16 ***
DESTIN_GRID2111            1.348e+01  3.284e-02   410.42   <2e-16 ***
DESTIN_GRID2128            1.589e+01  9.202e-03  1727.21   <2e-16 ***
DESTIN_GRID2129            1.560e+01  9.859e-03  1582.47   <2e-16 ***
DESTIN_GRID2130            1.561e+01  5.502e-03  2836.85   <2e-16 ***
DESTIN_GRID2131            1.553e+01  7.298e-03  2127.70   <2e-16 ***
DESTIN_GRID2132            1.536e+01  7.392e-03  2077.22   <2e-16 ***
DESTIN_GRID2148            1.525e+01  1.415e-02  1077.94   <2e-16 ***
DESTIN_GRID2149            1.506e+01  1.081e-02  1392.53   <2e-16 ***
DESTIN_GRID2150            1.533e+01  7.971e-03  1923.47   <2e-16 ***
DESTIN_GRID2151            1.701e+01  3.354e-03  5071.41   <2e-16 ***
DESTIN_GRID2152            1.602e+01  5.300e-03  3021.93   <2e-16 ***
DESTIN_GRID2153            1.489e+01  1.120e-02  1328.72   <2e-16 ***
DESTIN_GRID2171            1.624e+01  5.518e-03  2943.72   <2e-16 ***
DESTIN_GRID2172            1.452e+01  1.129e-02  1286.34   <2e-16 ***
DESTIN_GRID2173            1.508e+01  7.459e-03  2021.98   <2e-16 ***
DESTIN_GRID2174            1.570e+01  6.923e-03  2268.43   <2e-16 ***
DESTIN_GRID2191            1.649e+01  7.431e-03  2218.57   <2e-16 ***
DESTIN_GRID2192            1.516e+01  1.068e-02  1418.43   <2e-16 ***
DESTIN_GRID2193            1.584e+01  6.200e-03  2554.09   <2e-16 ***
DESTIN_GRID2194            1.580e+01  5.963e-03  2650.13   <2e-16 ***
DESTIN_GRID2195            1.454e+01  3.387e-02   429.13   <2e-16 ***
DESTIN_GRID2212            1.665e+01  1.331e-02  1251.39   <2e-16 ***
DESTIN_GRID2213            1.618e+01  8.180e-03  1977.74   <2e-16 ***
DESTIN_GRID2214            1.693e+01  6.933e-03  2441.67   <2e-16 ***
DESTIN_GRID2215            1.515e+01  9.306e-03  1627.51   <2e-16 ***
DESTIN_GRID2216            1.605e+01  6.071e-03  2644.54   <2e-16 ***
DESTIN_GRID2233            1.677e+01  9.757e-03  1719.24   <2e-16 ***
DESTIN_GRID2234            1.725e+01  8.167e-03  2112.62   <2e-16 ***
DESTIN_GRID2235            1.600e+01  9.080e-03  1761.78   <2e-16 ***
DESTIN_GRID2236            1.458e+01  1.354e-02  1076.67   <2e-16 ***
DESTIN_GRID2237            1.605e+01  1.152e-02  1393.70   <2e-16 ***
DESTIN_GRID2256            1.612e+01  1.256e-02  1283.61   <2e-16 ***
DESTIN_GRID2257            1.387e+01  2.590e-02   535.63   <2e-16 ***
DESTIN_GRID2258            1.577e+01  7.527e-03  2094.94   <2e-16 ***
DESTIN_GRID2259            1.688e+01  1.015e-02  1662.31   <2e-16 ***
DESTIN_GRID2277            1.520e+01  2.458e-02   618.13   <2e-16 ***
DESTIN_GRID2278            1.524e+01  1.567e-02   972.03   <2e-16 ***
DESTIN_GRID2279            1.597e+01  7.483e-03  2133.60   <2e-16 ***
DESTIN_GRID2280            1.440e+01  3.173e-02   453.98   <2e-16 ***
DESTIN_GRID2297            1.525e+01  1.609e-02   947.95   <2e-16 ***
DESTIN_GRID2300            1.496e+01  1.980e-02   755.43   <2e-16 ***
DESTIN_GRID2301            1.546e+01  9.906e-03  1560.62   <2e-16 ***
DESTIN_GRID2318            1.725e+01  5.819e-03  2963.86   <2e-16 ***
DESTIN_GRID2319            1.731e+01  5.322e-03  3252.60   <2e-16 ***
DESTIN_GRID2322            1.581e+01  9.484e-03  1667.18   <2e-16 ***
DESTIN_GRID2337            1.691e+01  1.561e-02  1083.57   <2e-16 ***
DESTIN_GRID2341            1.749e+01  5.181e-03  3376.30   <2e-16 ***
DESTIN_GRID2343            1.507e+01  1.276e-02  1181.00   <2e-16 ***
DESTIN_GRID2361            1.636e+01  8.853e-03  1847.47   <2e-16 ***
DESTIN_GRID2364            1.387e+01  2.961e-02   468.59   <2e-16 ***
DESTIN_GRID2379            1.609e+01  2.506e-02   641.96   <2e-16 ***
DESTIN_GRID2384            1.699e+01  6.796e-03  2499.37   <2e-16 ***
DESTIN_GRID2405            1.760e+01  5.001e-03  3518.70   <2e-16 ***
DESTIN_GRID2406            1.454e+01  2.397e-02   606.41   <2e-16 ***
DESTIN_GRID2426            1.699e+01  1.113e-02  1526.54   <2e-16 ***
DESTIN_GRID2427            1.719e+01  6.830e-03  2516.27   <2e-16 ***
DESTIN_GRID2505            1.745e+01  1.823e-02   957.21   <2e-16 ***
log(ORIGIN_BS_COUNT)       4.002e-01  5.213e-04   767.65   <2e-16 ***
log(ORIGIN_BIZ_COUNT)     -1.801e-01  2.202e-04  -817.77   <2e-16 ***
log(ORIGIN_FINSERV_COUNT)  8.257e-02  2.510e-04   328.95   <2e-16 ***
log(ORIGIN_MRTEXIT_COUNT)  2.556e-01  4.000e-04   638.94   <2e-16 ***
log(ORIGIN_SCHOOLS_COUNT) -1.875e-02  6.475e-04   -28.96   <2e-16 ***
log(ORIGIN_DWELLINGS)      1.354e-01  9.284e-05  1458.47   <2e-16 ***
log(DISTANCE)             -1.488e+00  2.632e-04 -5651.40   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 336170273  on 65111  degrees of freedom
Residual deviance:  33989935  on 64289  degrees of freedom
AIC: 34349654

Number of Fisher Scoring iterations: 8

All the explanatory variables (ORIGIN_BS_COUNT,ORIGIN_BIZ_COUNT, ORIGIN_FINSERV_COUNT, ORIGIN_MRTEXIT_COUNT,ORIGIN_SCHOOLS_COUNT,ORIGIN_DWELLINGS) are significant because their p-values are less than 0.05. Amongst the explanatory variables, Busstop counts have the largest coefficient of 4.002e-01, followed by MRT Exit Counts (2.556e-01). On the other hand, business counts and schools have an inverse relationship with the spatial interaction flows as seen from their negative coefficient estimates. Since the destination(attraction) constrained model is used to forecast total outflows from origins, it means that hexagons with high counts of bus stops and MRT exits would receive a higher outflow.

Show the code 
CalcRSquared(decSIM_Poisson$data$TRIPS, decSIM_Poisson$fitted.values)
[1] 0.4294234

From the above output, it means that these explanatory variables explained ~43% of the spatial interactions, which is higher than the origin-constrained spatial interaction model in the previous subsection.

9.5 Doubly constrained Model

The general formula of Doubly Constrained Spatial Interaction Model

\[ \lambda{i}{j}= exp(k + \mu{i} + \alpha{i} - \beta \ln d{i}{j}) \]

Show the code 
dbcSIM_Poisson <- glm(formula = TRIPS ~ 
                ORIGIN_GRID + 
                DESTIN_GRID +
                log(DISTANCE),
              family = poisson(link = "log"),
              data = SIM_data,
              na.action = na.exclude)
summary(dbcSIM_Poisson)

Call:
glm(formula = TRIPS ~ ORIGIN_GRID + DESTIN_GRID + log(DISTANCE), 
    family = poisson(link = "log"), data = SIM_data, na.action = na.exclude)

Coefficients:
                  Estimate Std. Error   z value Pr(>|z|)    
(Intercept)     15.4836282  0.1101254   140.600  < 2e-16 ***
ORIGIN_GRID44   -2.2250284  0.1709542   -13.015  < 2e-16 ***
ORIGIN_GRID46   -0.9389509  0.1329803    -7.061 1.66e-12 ***
ORIGIN_GRID66   -1.6320872  0.1601852   -10.189  < 2e-16 ***
ORIGIN_GRID67    1.2322548  0.1027966    11.987  < 2e-16 ***
ORIGIN_GRID68   -1.6034226  0.1637980    -9.789  < 2e-16 ***
ORIGIN_GRID86   -0.9134943  0.1224528    -7.460 8.65e-14 ***
ORIGIN_GRID87   -0.1327022  0.1291749    -1.027 0.304276    
ORIGIN_GRID88    1.8649168  0.1013842    18.395  < 2e-16 ***
ORIGIN_GRID89    0.3038039  0.1120585     2.711 0.006706 ** 
ORIGIN_GRID90    0.4319835  0.1663391     2.597 0.009404 ** 
ORIGIN_GRID109  -0.0505706  0.1413032    -0.358 0.720428    
ORIGIN_GRID110   0.2435489  0.1235316     1.972 0.048661 *  
ORIGIN_GRID111   3.6684786  0.1010125    36.317  < 2e-16 ***
ORIGIN_GRID112  -0.4727483  0.1190037    -3.973 7.11e-05 ***
ORIGIN_GRID128   2.8168919  0.1043240    27.001  < 2e-16 ***
ORIGIN_GRID129  -0.2101393  0.2143799    -0.980 0.326978    
ORIGIN_GRID130  -0.0932637  0.1171010    -0.796 0.425777    
ORIGIN_GRID131   0.0549831  0.1063809     0.517 0.605260    
ORIGIN_GRID132  -0.1650246  0.1111089    -1.485 0.137477    
ORIGIN_GRID133   0.6467922  0.1068966     6.051 1.44e-09 ***
ORIGIN_GRID134   3.5906960  0.1035724    34.668  < 2e-16 ***
ORIGIN_GRID150   3.7020135  0.1022289    36.213  < 2e-16 ***
ORIGIN_GRID151   0.7112579  0.1163238     6.114 9.69e-10 ***
ORIGIN_GRID152   0.1698703  0.1292679     1.314 0.188814    
ORIGIN_GRID153   0.9271586  0.1087174     8.528  < 2e-16 ***
ORIGIN_GRID154   3.5881232  0.1003942    35.740  < 2e-16 ***
ORIGIN_GRID155   0.7938944  0.1053032     7.539 4.73e-14 ***
ORIGIN_GRID156   1.6985941  0.1074542    15.808  < 2e-16 ***
ORIGIN_GRID172   1.7840352  0.1260496    14.153  < 2e-16 ***
ORIGIN_GRID174   0.6811254  0.1106334     6.157 7.43e-10 ***
ORIGIN_GRID175   3.4574817  0.1007491    34.318  < 2e-16 ***
ORIGIN_GRID176   4.3700998  0.1002335    43.599  < 2e-16 ***
ORIGIN_GRID195  -0.5658663  0.1289735    -4.387 1.15e-05 ***
ORIGIN_GRID196   0.3820708  0.1086748     3.516 0.000439 ***
ORIGIN_GRID197  -0.1747157  0.1487133    -1.175 0.240055    
ORIGIN_GRID215   0.7138743  0.1299452     5.494 3.94e-08 ***
ORIGIN_GRID216   4.8315373  0.1004209    48.113  < 2e-16 ***
ORIGIN_GRID217   2.0526758  0.1022936    20.067  < 2e-16 ***
ORIGIN_GRID237  -0.7864826  0.1856850    -4.236 2.28e-05 ***
ORIGIN_GRID238   0.8714340  0.1125221     7.745 9.59e-15 ***
ORIGIN_GRID239   0.1638838  0.1872995     0.875 0.381583    
ORIGIN_GRID257  -0.2854031  0.1153529    -2.474 0.013355 *  
ORIGIN_GRID258   1.6599715  0.1038951    15.977  < 2e-16 ***
ORIGIN_GRID259   1.0000285  0.1080803     9.253  < 2e-16 ***
ORIGIN_GRID278   0.4723397  0.1076411     4.388 1.14e-05 ***
ORIGIN_GRID279   0.1452481  0.1091782     1.330 0.183394    
ORIGIN_GRID280   0.7228134  0.1099732     6.573 4.94e-11 ***
ORIGIN_GRID298  -2.9827269  0.3483972    -8.561  < 2e-16 ***
ORIGIN_GRID299  -0.3407110  0.1119977    -3.042 0.002349 ** 
ORIGIN_GRID300   3.6148765  0.1006538    35.914  < 2e-16 ***
ORIGIN_GRID320  -1.1530896  0.1189393    -9.695  < 2e-16 ***
ORIGIN_GRID321   0.8843320  0.1232322     7.176 7.17e-13 ***
ORIGIN_GRID322   1.4488961  0.1105803    13.103  < 2e-16 ***
ORIGIN_GRID340   1.2371892  0.1041296    11.881  < 2e-16 ***
ORIGIN_GRID341  -0.4345809  0.1096618    -3.963 7.40e-05 ***
ORIGIN_GRID342   0.7905057  0.1084341     7.290 3.10e-13 ***
ORIGIN_GRID363   0.9173453  0.1069887     8.574  < 2e-16 ***
ORIGIN_GRID364   1.7124139  0.1037676    16.502  < 2e-16 ***
ORIGIN_GRID383   0.6485142  0.1050817     6.172 6.76e-10 ***
ORIGIN_GRID384  -0.0686444  0.1130238    -0.607 0.543622    
ORIGIN_GRID385   1.1743062  0.1104177    10.635  < 2e-16 ***
ORIGIN_GRID404   1.4125457  0.1060646    13.318  < 2e-16 ***
ORIGIN_GRID405  -0.0012342  0.1114869    -0.011 0.991168    
ORIGIN_GRID406   5.5506060  0.1002973    55.342  < 2e-16 ***
ORIGIN_GRID407   1.5029505  0.1101349    13.646  < 2e-16 ***
ORIGIN_GRID408   2.2723959  0.1028953    22.085  < 2e-16 ***
ORIGIN_GRID425  -1.1075469  0.1335769    -8.291  < 2e-16 ***
ORIGIN_GRID426   0.8800768  0.1045456     8.418  < 2e-16 ***
ORIGIN_GRID427   0.7174885  0.1063298     6.748 1.50e-11 ***
ORIGIN_GRID428   0.4565683  0.1269981     3.595 0.000324 ***
ORIGIN_GRID429   1.5163254  0.1028783    14.739  < 2e-16 ***
ORIGIN_GRID446   0.3980963  0.1164400     3.419 0.000629 ***
ORIGIN_GRID447   0.0383847  0.1097486     0.350 0.726525    
ORIGIN_GRID448   1.4065091  0.1040913    13.512  < 2e-16 ***
ORIGIN_GRID449   4.7153484  0.1004970    46.920  < 2e-16 ***
ORIGIN_GRID450   1.5411050  0.1022274    15.075  < 2e-16 ***
ORIGIN_GRID468   1.6606509  0.1040458    15.961  < 2e-16 ***
ORIGIN_GRID469   2.3376685  0.1018035    22.963  < 2e-16 ***
ORIGIN_GRID470   4.7012023  0.1004251    46.813  < 2e-16 ***
ORIGIN_GRID471   2.5385149  0.1016239    24.980  < 2e-16 ***
ORIGIN_GRID488   0.1872941  0.1156871     1.619 0.105454    
ORIGIN_GRID489  -1.3993442  0.2694411    -5.194 2.06e-07 ***
ORIGIN_GRID490   3.2380489  0.1009427    32.078  < 2e-16 ***
ORIGIN_GRID491   3.7256425  0.1005796    37.042  < 2e-16 ***
ORIGIN_GRID493  -0.9369897  0.1712168    -5.473 4.44e-08 ***
ORIGIN_GRID494   1.0455585  0.1164223     8.981  < 2e-16 ***
ORIGIN_GRID509   0.3265844  0.1059239     3.083 0.002048 ** 
ORIGIN_GRID510   0.9193411  0.1033325     8.897  < 2e-16 ***
ORIGIN_GRID511   2.6536412  0.1008586    26.311  < 2e-16 ***
ORIGIN_GRID512   5.2552200  0.1003571    52.365  < 2e-16 ***
ORIGIN_GRID513   1.8367268  0.1031710    17.803  < 2e-16 ***
ORIGIN_GRID514   1.6909211  0.1069096    15.816  < 2e-16 ***
ORIGIN_GRID515   0.1434517  0.1702835     0.842 0.399548    
ORIGIN_GRID530  -0.7256445  0.1289399    -5.628 1.83e-08 ***
ORIGIN_GRID531   1.4637814  0.1024129    14.293  < 2e-16 ***
ORIGIN_GRID532   1.1306960  0.1029088    10.987  < 2e-16 ***
ORIGIN_GRID533   4.9645771  0.1003570    49.469  < 2e-16 ***
ORIGIN_GRID534   5.5421095  0.1003738    55.215  < 2e-16 ***
ORIGIN_GRID536   2.2546754  0.1034900    21.786  < 2e-16 ***
ORIGIN_GRID537   0.2403294  0.1701891     1.412 0.157911    
ORIGIN_GRID538   0.1603891  0.2275513     0.705 0.480905    
ORIGIN_GRID539  -1.0000554  0.5868487    -1.704 0.088360 .  
ORIGIN_GRID551  -0.7295297  0.1139813    -6.400 1.55e-10 ***
ORIGIN_GRID552   1.7689536  0.1069068    16.547  < 2e-16 ***
ORIGIN_GRID553   1.2615759  0.1020772    12.359  < 2e-16 ***
ORIGIN_GRID554   4.8692043  0.1003671    48.514  < 2e-16 ***
ORIGIN_GRID555   4.2963674  0.1005570    42.726  < 2e-16 ***
ORIGIN_GRID559   0.7696448  0.1372953     5.606 2.07e-08 ***
ORIGIN_GRID560   3.1383401  0.1110898    28.250  < 2e-16 ***
ORIGIN_GRID572  -1.9288713  0.2453741    -7.861 3.81e-15 ***
ORIGIN_GRID573  -0.2038556  0.1094219    -1.863 0.062459 .  
ORIGIN_GRID574   1.3111803  0.1066013    12.300  < 2e-16 ***
ORIGIN_GRID575   5.9711481  0.1003313    59.514  < 2e-16 ***
ORIGIN_GRID576   4.5188034  0.1004289    44.995  < 2e-16 ***
ORIGIN_GRID578  -0.2029920  0.1468991    -1.382 0.167019    
ORIGIN_GRID582   0.1234945  0.1469781     0.840 0.400783    
ORIGIN_GRID583  -0.0168328  0.2207824    -0.076 0.939227    
ORIGIN_GRID584   3.3469775  0.1146336    29.197  < 2e-16 ***
ORIGIN_GRID593   1.1356779  0.1119012    10.149  < 2e-16 ***
ORIGIN_GRID594   0.9408791  0.1036587     9.077  < 2e-16 ***
ORIGIN_GRID595   1.1467812  0.1022376    11.217  < 2e-16 ***
ORIGIN_GRID596   4.2659894  0.1003994    42.490  < 2e-16 ***
ORIGIN_GRID597   1.4883900  0.1163212    12.796  < 2e-16 ***
ORIGIN_GRID603   0.7589037  0.1481481     5.123 3.01e-07 ***
ORIGIN_GRID604  -1.0141050  0.2862071    -3.543 0.000395 ***
ORIGIN_GRID615  -0.2828179  0.1095371    -2.582 0.009825 ** 
ORIGIN_GRID616   0.8445279  0.1044413     8.086 6.16e-16 ***
ORIGIN_GRID617   1.6783262  0.1018028    16.486  < 2e-16 ***
ORIGIN_GRID618   4.9306251  0.1003821    49.119  < 2e-16 ***
ORIGIN_GRID620   1.9798333  0.1054525    18.775  < 2e-16 ***
ORIGIN_GRID637   0.5551303  0.1077055     5.154 2.55e-07 ***
ORIGIN_GRID638   4.4012111  0.1003977    43.838  < 2e-16 ***
ORIGIN_GRID657   2.2681286  0.1016403    22.315  < 2e-16 ***
ORIGIN_GRID658   3.7299508  0.1005170    37.108  < 2e-16 ***
ORIGIN_GRID659   3.9524965  0.1004583    39.345  < 2e-16 ***
ORIGIN_GRID660   5.1247788  0.1003679    51.060  < 2e-16 ***
ORIGIN_GRID662   5.0400493  0.1006070    50.096  < 2e-16 ***
ORIGIN_GRID677   2.1669409  0.1028380    21.071  < 2e-16 ***
ORIGIN_GRID678   0.0830306  0.1093945     0.759 0.447852    
ORIGIN_GRID679   4.9581210  0.1003808    49.393  < 2e-16 ***
ORIGIN_GRID680   5.2076771  0.1003786    51.880  < 2e-16 ***
ORIGIN_GRID681   3.9154033  0.1006677    38.894  < 2e-16 ***
ORIGIN_GRID699   1.7039478  0.1027276    16.587  < 2e-16 ***
ORIGIN_GRID700   3.9017154  0.1004991    38.823  < 2e-16 ***
ORIGIN_GRID701   3.8138766  0.1005027    37.948  < 2e-16 ***
ORIGIN_GRID702   4.9234394  0.1003759    49.050  < 2e-16 ***
ORIGIN_GRID704   1.9669661  0.1053087    18.678  < 2e-16 ***
ORIGIN_GRID722   1.7596848  0.1018956    17.269  < 2e-16 ***
ORIGIN_GRID725   1.2653041  0.1093870    11.567  < 2e-16 ***
ORIGIN_GRID741   2.1863549  0.1016707    21.504  < 2e-16 ***
ORIGIN_GRID743   2.4461237  0.1010643    24.204  < 2e-16 ***
ORIGIN_GRID744   4.5081569  0.1004135    44.896  < 2e-16 ***
ORIGIN_GRID761   1.6434311  0.1039737    15.806  < 2e-16 ***
ORIGIN_GRID762   3.6972258  0.1005744    36.761  < 2e-16 ***
ORIGIN_GRID763   0.8939634  0.1040399     8.593  < 2e-16 ***
ORIGIN_GRID764   5.0094575  0.1003747    49.908  < 2e-16 ***
ORIGIN_GRID765   3.9711591  0.1006482    39.456  < 2e-16 ***
ORIGIN_GRID767   6.0298247  0.1003952    60.061  < 2e-16 ***
ORIGIN_GRID772   0.8161909  0.1236676     6.600 4.12e-11 ***
ORIGIN_GRID784   1.0618515  0.1030241    10.307  < 2e-16 ***
ORIGIN_GRID785   4.0923495  0.1004115    40.756  < 2e-16 ***
ORIGIN_GRID786   3.8339453  0.1004956    38.150  < 2e-16 ***
ORIGIN_GRID787   4.4529671  0.1005775    44.274  < 2e-16 ***
ORIGIN_GRID788   5.2666664  0.1004667    52.422  < 2e-16 ***
ORIGIN_GRID789   3.6700665  0.1008711    36.384  < 2e-16 ***
ORIGIN_GRID803   0.1106495  0.1116042     0.991 0.321468    
ORIGIN_GRID804   4.7304623  0.1004088    47.112  < 2e-16 ***
ORIGIN_GRID805   4.7191457  0.1003778    47.014  < 2e-16 ***
ORIGIN_GRID806   4.4246858  0.1004098    44.066  < 2e-16 ***
ORIGIN_GRID807   5.3483125  0.1004169    53.261  < 2e-16 ***
ORIGIN_GRID808   3.6948963  0.1009088    36.616  < 2e-16 ***
ORIGIN_GRID809   5.4107107  0.1003854    53.899  < 2e-16 ***
ORIGIN_GRID810   4.7114642  0.1004901    46.885  < 2e-16 ***
ORIGIN_GRID814   2.5943301  0.1041763    24.903  < 2e-16 ***
ORIGIN_GRID824   0.7831893  0.1074611     7.288 3.14e-13 ***
ORIGIN_GRID826   2.3918890  0.1008119    23.726  < 2e-16 ***
ORIGIN_GRID827   4.3825852  0.1003954    43.653  < 2e-16 ***
ORIGIN_GRID828   4.7809374  0.1003879    47.625  < 2e-16 ***
ORIGIN_GRID829   4.8428203  0.1004244    48.224  < 2e-16 ***
ORIGIN_GRID830   5.0533082  0.1004583    50.303  < 2e-16 ***
ORIGIN_GRID831   5.9436624  0.1003674    59.219  < 2e-16 ***
ORIGIN_GRID832   5.1440441  0.1005323    51.168  < 2e-16 ***
ORIGIN_GRID835   2.1252199  0.1046188    20.314  < 2e-16 ***
ORIGIN_GRID844  -0.4302949  0.1270606    -3.387 0.000708 ***
ORIGIN_GRID846   3.8476195  0.1004556    38.302  < 2e-16 ***
ORIGIN_GRID847   2.9191723  0.1007098    28.986  < 2e-16 ***
ORIGIN_GRID848   4.1654759  0.1004320    41.476  < 2e-16 ***
ORIGIN_GRID849   3.3610161  0.1006212    33.403  < 2e-16 ***
ORIGIN_GRID850   4.3357783  0.1004664    43.156  < 2e-16 ***
ORIGIN_GRID851   4.8461658  0.1004094    48.264  < 2e-16 ***
ORIGIN_GRID852   4.4112048  0.1005161    43.886  < 2e-16 ***
ORIGIN_GRID853   6.3589040  0.1004222    63.322  < 2e-16 ***
ORIGIN_GRID854   2.6242154  0.1036486    25.318  < 2e-16 ***
ORIGIN_GRID855   1.2636688  0.1093752    11.554  < 2e-16 ***
ORIGIN_GRID856   3.0577465  0.1020070    29.976  < 2e-16 ***
ORIGIN_GRID866   1.2849308  0.1052973    12.203  < 2e-16 ***
ORIGIN_GRID867   2.5951700  0.1010132    25.691  < 2e-16 ***
ORIGIN_GRID868   1.8540020  0.1018541    18.203  < 2e-16 ***
ORIGIN_GRID869   4.5135473  0.1004966    44.912  < 2e-16 ***
ORIGIN_GRID870   5.3009172  0.1003642    52.817  < 2e-16 ***
ORIGIN_GRID871   5.1886467  0.1004986    51.629  < 2e-16 ***
ORIGIN_GRID872   3.1119772  0.1008984    30.843  < 2e-16 ***
ORIGIN_GRID873   3.2663551  0.1008252    32.396  < 2e-16 ***
ORIGIN_GRID874   3.5447625  0.1006497    35.219  < 2e-16 ***
ORIGIN_GRID875   0.7441339  0.1236187     6.020 1.75e-09 ***
ORIGIN_GRID876   1.5343973  0.1051864    14.587  < 2e-16 ***
ORIGIN_GRID877   1.1446144  0.1080801    10.590  < 2e-16 ***
ORIGIN_GRID887   2.0415876  0.1012165    20.171  < 2e-16 ***
ORIGIN_GRID888   3.5494671  0.1005502    35.300  < 2e-16 ***
ORIGIN_GRID889   0.3254803  0.1058891     3.074 0.002114 ** 
ORIGIN_GRID890   4.7485326  0.1003873    47.302  < 2e-16 ***
ORIGIN_GRID891   3.4514690  0.1009549    34.188  < 2e-16 ***
ORIGIN_GRID893   4.9161977  0.1003988    48.967  < 2e-16 ***
ORIGIN_GRID894   3.0124108  0.1009061    29.854  < 2e-16 ***
ORIGIN_GRID895   2.5847574  0.1014639    25.475  < 2e-16 ***
ORIGIN_GRID896   1.6552002  0.1034783    15.996  < 2e-16 ***
ORIGIN_GRID897  -0.2768935  0.1189837    -2.327 0.019957 *  
ORIGIN_GRID898   2.0480748  0.1045026    19.598  < 2e-16 ***
ORIGIN_GRID908   3.5116615  0.1010345    34.757  < 2e-16 ***
ORIGIN_GRID909   3.5424235  0.1004746    35.257  < 2e-16 ***
ORIGIN_GRID910   1.4837191  0.1017718    14.579  < 2e-16 ***
ORIGIN_GRID911   2.9594563  0.1006915    29.391  < 2e-16 ***
ORIGIN_GRID912   4.4797082  0.1004093    44.614  < 2e-16 ***
ORIGIN_GRID915   4.8038523  0.1004124    47.841  < 2e-16 ***
ORIGIN_GRID917   4.2607534  0.1005937    42.356  < 2e-16 ***
ORIGIN_GRID918   0.7694999  0.1066451     7.216 5.37e-13 ***
ORIGIN_GRID919   3.4365426  0.1007410    34.113  < 2e-16 ***
ORIGIN_GRID928   2.4348488  0.1012171    24.056  < 2e-16 ***
ORIGIN_GRID929   3.9110560  0.1004212    38.947  < 2e-16 ***
ORIGIN_GRID930   4.7895920  0.1003658    47.721  < 2e-16 ***
ORIGIN_GRID931   1.7741677  0.1016748    17.449  < 2e-16 ***
ORIGIN_GRID932   2.1863361  0.1018164    21.473  < 2e-16 ***
ORIGIN_GRID933   4.3753431  0.1004716    43.548  < 2e-16 ***
ORIGIN_GRID934   1.9453640  0.1017660    19.116  < 2e-16 ***
ORIGIN_GRID935   5.6697924  0.1003657    56.491  < 2e-16 ***
ORIGIN_GRID938  -1.7324401  0.2356658    -7.351 1.96e-13 ***
ORIGIN_GRID939   5.8086657  0.1004026    57.854  < 2e-16 ***
ORIGIN_GRID940   0.1458196  0.1171525     1.245 0.213242    
ORIGIN_GRID949   2.3270855  0.1011037    23.017  < 2e-16 ***
ORIGIN_GRID950   4.3871626  0.1004352    43.682  < 2e-16 ***
ORIGIN_GRID951   5.2481522  0.1003560    52.295  < 2e-16 ***
ORIGIN_GRID952   1.8878789  0.1024637    18.425  < 2e-16 ***
ORIGIN_GRID953   3.1300016  0.1007517    31.066  < 2e-16 ***
ORIGIN_GRID954   1.9686264  0.1016714    19.363  < 2e-16 ***
ORIGIN_GRID955   4.2337425  0.1004720    42.139  < 2e-16 ***
ORIGIN_GRID956   2.6399299  0.1009506    26.151  < 2e-16 ***
ORIGIN_GRID957   4.8209970  0.1004789    47.980  < 2e-16 ***
ORIGIN_GRID959   0.8815275  0.1114394     7.910 2.57e-15 ***
ORIGIN_GRID961   0.8255704  0.1046587     7.888 3.07e-15 ***
ORIGIN_GRID962  -3.6270347  1.0050261    -3.609 0.000308 ***
ORIGIN_GRID970   2.7104799  0.1006284    26.936  < 2e-16 ***
ORIGIN_GRID971   4.1019900  0.1003902    40.860  < 2e-16 ***
ORIGIN_GRID972   3.9189732  0.1004271    39.023  < 2e-16 ***
ORIGIN_GRID974   3.6068001  0.1005787    35.860  < 2e-16 ***
ORIGIN_GRID975   3.2610647  0.1007002    32.384  < 2e-16 ***
ORIGIN_GRID976   1.9448302  0.1016909    19.125  < 2e-16 ***
ORIGIN_GRID977   5.1577739  0.1003886    51.378  < 2e-16 ***
ORIGIN_GRID978   5.0253721  0.1005587    49.975  < 2e-16 ***
ORIGIN_GRID982   2.1652075  0.1013395    21.366  < 2e-16 ***
ORIGIN_GRID983   6.7678809  0.1004041    67.406  < 2e-16 ***
ORIGIN_GRID991   2.8008808  0.1007017    27.814  < 2e-16 ***
ORIGIN_GRID992   3.0342204  0.1005495    30.176  < 2e-16 ***
ORIGIN_GRID993   2.8088509  0.1005813    27.926  < 2e-16 ***
ORIGIN_GRID994   2.2844471  0.1008955    22.642  < 2e-16 ***
ORIGIN_GRID995   3.8253613  0.1004694    38.075  < 2e-16 ***
ORIGIN_GRID996   3.5480384  0.1005918    35.272  < 2e-16 ***
ORIGIN_GRID997   2.1435535  0.1044805    20.516  < 2e-16 ***
ORIGIN_GRID998   5.2704275  0.1003941    52.497  < 2e-16 ***
ORIGIN_GRID999   5.2988056  0.1004719    52.739  < 2e-16 ***
ORIGIN_GRID1001  2.1802066  0.1033234    21.101  < 2e-16 ***
ORIGIN_GRID1003  4.8859700  0.1004163    48.657  < 2e-16 ***
ORIGIN_GRID1004  5.6904682  0.1003829    56.688  < 2e-16 ***
ORIGIN_GRID1011  0.8606262  0.1047517     8.216  < 2e-16 ***
ORIGIN_GRID1012  0.7646161  0.1052434     7.265 3.72e-13 ***
ORIGIN_GRID1013  1.5703785  0.1015567    15.463  < 2e-16 ***
ORIGIN_GRID1014  2.3232201  0.1008753    23.031  < 2e-16 ***
ORIGIN_GRID1015  1.6783106  0.1015573    16.526  < 2e-16 ***
ORIGIN_GRID1016  3.5336872  0.1005650    35.138  < 2e-16 ***
ORIGIN_GRID1018  4.1111879  0.1008002    40.786  < 2e-16 ***
ORIGIN_GRID1019  5.7291237  0.1004334    57.044  < 2e-16 ***
ORIGIN_GRID1023  3.7247763  0.1007564    36.968  < 2e-16 ***
ORIGIN_GRID1024  4.8249788  0.1004271    48.045  < 2e-16 ***
ORIGIN_GRID1025  0.2738872  0.1117220     2.452 0.014226 *  
ORIGIN_GRID1033  2.2149203  0.1009311    21.945  < 2e-16 ***
ORIGIN_GRID1034  3.1162550  0.1005711    30.986  < 2e-16 ***
ORIGIN_GRID1035  3.8190442  0.1004629    38.014  < 2e-16 ***
ORIGIN_GRID1036  1.9474570  0.1012648    19.231  < 2e-16 ***
ORIGIN_GRID1037  3.1025656  0.1005563    30.854  < 2e-16 ***
ORIGIN_GRID1043  2.1326033  0.1034203    20.621  < 2e-16 ***
ORIGIN_GRID1045  4.4799155  0.1004264    44.609  < 2e-16 ***
ORIGIN_GRID1046  4.3863542  0.1004535    43.665  < 2e-16 ***
ORIGIN_GRID1053  3.6837729  0.1004874    36.659  < 2e-16 ***
ORIGIN_GRID1054  2.6960689  0.1006202    26.795  < 2e-16 ***
ORIGIN_GRID1055  3.7167094  0.1004527    37.000  < 2e-16 ***
ORIGIN_GRID1056  2.7134719  0.1007334    26.937  < 2e-16 ***
ORIGIN_GRID1064 -0.6463641  0.2694172    -2.399 0.016435 *  
ORIGIN_GRID1066  4.2140702  0.1004544    41.950  < 2e-16 ***
ORIGIN_GRID1067  4.3644631  0.1005498    43.406  < 2e-16 ***
ORIGIN_GRID1074  3.0088365  0.1006044    29.908  < 2e-16 ***
ORIGIN_GRID1075  2.3482329  0.1008229    23.291  < 2e-16 ***
ORIGIN_GRID1076  2.3990153  0.1006891    23.826  < 2e-16 ***
ORIGIN_GRID1077  2.5815807  0.1008215    25.605  < 2e-16 ***
ORIGIN_GRID1079  4.1256422  0.1004436    41.074  < 2e-16 ***
ORIGIN_GRID1085 -1.7779993  0.1735479   -10.245  < 2e-16 ***
ORIGIN_GRID1087  4.0728344  0.1004999    40.526  < 2e-16 ***
ORIGIN_GRID1088  2.4613487  0.1010210    24.365  < 2e-16 ***
ORIGIN_GRID1094  1.1002558  0.1093758    10.059  < 2e-16 ***
ORIGIN_GRID1095  0.7383819  0.1055648     6.995 2.66e-12 ***
ORIGIN_GRID1096  2.3786044  0.1023952    23.230  < 2e-16 ***
ORIGIN_GRID1097  4.3867018  0.1003913    43.696  < 2e-16 ***
ORIGIN_GRID1098  2.0287810  0.1019151    19.907  < 2e-16 ***
ORIGIN_GRID1099  3.3903056  0.1005438    33.720  < 2e-16 ***
ORIGIN_GRID1105  1.2030168  0.1175878    10.231  < 2e-16 ***
ORIGIN_GRID1106 -0.3727381  0.1360208    -2.740 0.006138 ** 
ORIGIN_GRID1107  1.8804527  0.1040128    18.079  < 2e-16 ***
ORIGIN_GRID1108  6.0903968  0.1003645    60.683  < 2e-16 ***
ORIGIN_GRID1109  3.0233928  0.1008544    29.978  < 2e-16 ***
ORIGIN_GRID1116  2.7869777  0.1006735    27.683  < 2e-16 ***
ORIGIN_GRID1117  1.4179171  0.1018246    13.925  < 2e-16 ***
ORIGIN_GRID1118  1.5491233  0.1021244    15.169  < 2e-16 ***
ORIGIN_GRID1119  2.7035287  0.1007825    26.825  < 2e-16 ***
ORIGIN_GRID1120  2.6075901  0.1011661    25.775  < 2e-16 ***
ORIGIN_GRID1129  4.4859672  0.1004469    44.660  < 2e-16 ***
ORIGIN_GRID1130  4.5282440  0.1004114    45.097  < 2e-16 ***
ORIGIN_GRID1131  3.4464029  0.1008425    34.176  < 2e-16 ***
ORIGIN_GRID1136  1.6296638  0.1014706    16.060  < 2e-16 ***
ORIGIN_GRID1138  0.8414666  0.1043155     8.067 7.23e-16 ***
ORIGIN_GRID1139  3.5586723  0.1004539    35.426  < 2e-16 ***
ORIGIN_GRID1141  3.5445235  0.1005148    35.264  < 2e-16 ***
ORIGIN_GRID1148  0.9431732  0.1129146     8.353  < 2e-16 ***
ORIGIN_GRID1149  2.4716739  0.1018000    24.280  < 2e-16 ***
ORIGIN_GRID1150  4.7538146  0.1004003    47.349  < 2e-16 ***
ORIGIN_GRID1151  3.6734418  0.1005405    36.537  < 2e-16 ***
ORIGIN_GRID1158  1.9149539  0.1009253    18.974  < 2e-16 ***
ORIGIN_GRID1159  3.3578710  0.1004834    33.417  < 2e-16 ***
ORIGIN_GRID1160  4.3799772  0.1003949    43.627  < 2e-16 ***
ORIGIN_GRID1171  5.3302481  0.1004128    53.083  < 2e-16 ***
ORIGIN_GRID1172  5.1931957  0.1004078    51.721  < 2e-16 ***
ORIGIN_GRID1173  2.4417386  0.1010972    24.152  < 2e-16 ***
ORIGIN_GRID1174 -1.8716998  0.2855379    -6.555 5.56e-11 ***
ORIGIN_GRID1178  2.1517275  0.1008520    21.335  < 2e-16 ***
ORIGIN_GRID1179  2.8463416  0.1005563    28.306  < 2e-16 ***
ORIGIN_GRID1180  3.8979857  0.1004176    38.818  < 2e-16 ***
ORIGIN_GRID1181  3.1863368  0.1005359    31.694  < 2e-16 ***
ORIGIN_GRID1183  2.4816944  0.1009944    24.573  < 2e-16 ***
ORIGIN_GRID1190  1.4330587  0.1112472    12.882  < 2e-16 ***
ORIGIN_GRID1192  4.0701155  0.1005274    40.488  < 2e-16 ***
ORIGIN_GRID1193  4.0692972  0.1004726    40.502  < 2e-16 ***
ORIGIN_GRID1194  2.3526191  0.1012992    23.224  < 2e-16 ***
ORIGIN_GRID1200  2.9118120  0.1005465    28.960  < 2e-16 ***
ORIGIN_GRID1201  2.7703591  0.1005742    27.545  < 2e-16 ***
ORIGIN_GRID1203  3.6539812  0.1004979    36.359  < 2e-16 ***
ORIGIN_GRID1204  3.3344132  0.1005558    33.160  < 2e-16 ***
ORIGIN_GRID1211  0.7039196  0.1342207     5.244 1.57e-07 ***
ORIGIN_GRID1214  4.7901936  0.1004228    47.700  < 2e-16 ***
ORIGIN_GRID1215  1.3237506  0.1079056    12.268  < 2e-16 ***
ORIGIN_GRID1216  0.4129730  0.1081649     3.818 0.000135 ***
ORIGIN_GRID1220  3.9377399  0.1004114    39.216  < 2e-16 ***
ORIGIN_GRID1221  3.5868944  0.1004297    35.715  < 2e-16 ***
ORIGIN_GRID1222  3.2736400  0.1007973    32.477  < 2e-16 ***
ORIGIN_GRID1223  1.5641216  0.1016988    15.380  < 2e-16 ***
ORIGIN_GRID1224  2.4707268  0.1008774    24.492  < 2e-16 ***
ORIGIN_GRID1231 -1.5966381  0.2140088    -7.461 8.61e-14 ***
ORIGIN_GRID1232  0.5125617  0.1502423     3.412 0.000646 ***
ORIGIN_GRID1235  2.3062209  0.1012688    22.773  < 2e-16 ***
ORIGIN_GRID1236  2.3302809  0.1012667    23.011  < 2e-16 ***
ORIGIN_GRID1241  2.1933607  0.1008232    21.755  < 2e-16 ***
ORIGIN_GRID1242  2.7631977  0.1005564    27.479  < 2e-16 ***
ORIGIN_GRID1243  3.4388492  0.1004456    34.236  < 2e-16 ***
ORIGIN_GRID1246  2.6649442  0.1007380    26.454  < 2e-16 ***
ORIGIN_GRID1256  3.7185237  0.1006080    36.961  < 2e-16 ***
ORIGIN_GRID1257  4.6155987  0.1004812    45.935  < 2e-16 ***
ORIGIN_GRID1258  2.6115074  0.1013780    25.760  < 2e-16 ***
ORIGIN_GRID1262  2.5349030  0.1006630    25.182  < 2e-16 ***
ORIGIN_GRID1263  3.1293110  0.1004635    31.149  < 2e-16 ***
ORIGIN_GRID1264  2.1586230  0.1010134    21.370  < 2e-16 ***
ORIGIN_GRID1265  1.9549199  0.1012836    19.301  < 2e-16 ***
ORIGIN_GRID1266  3.2654457  0.1006230    32.452  < 2e-16 ***
ORIGIN_GRID1267  1.3832068  0.1038088    13.325  < 2e-16 ***
ORIGIN_GRID1272 -0.9558822  0.1530064    -6.247 4.18e-10 ***
ORIGIN_GRID1273  3.1714838  0.1010454    31.387  < 2e-16 ***
ORIGIN_GRID1277  4.7669103  0.1004223    47.469  < 2e-16 ***
ORIGIN_GRID1278  2.2038420  0.1012763    21.761  < 2e-16 ***
ORIGIN_GRID1283  4.3707783  0.1004000    43.534  < 2e-16 ***
ORIGIN_GRID1284  3.5359013  0.1004420    35.203  < 2e-16 ***
ORIGIN_GRID1285  4.2364663  0.1003863    42.202  < 2e-16 ***
ORIGIN_GRID1286  2.5214950  0.1008279    25.008  < 2e-16 ***
ORIGIN_GRID1289  0.6826405  0.1103780     6.185 6.23e-10 ***
ORIGIN_GRID1293 -0.6820701  0.1342073    -5.082 3.73e-07 ***
ORIGIN_GRID1294  4.6311151  0.1005186    46.072  < 2e-16 ***
ORIGIN_GRID1295  2.1504308  0.1024293    20.994  < 2e-16 ***
ORIGIN_GRID1298  3.7725137  0.1005693    37.512  < 2e-16 ***
ORIGIN_GRID1299  4.1483454  0.1005293    41.265  < 2e-16 ***
ORIGIN_GRID1304  4.1479944  0.1004046    41.313  < 2e-16 ***
ORIGIN_GRID1305  3.5364038  0.1004149    35.218  < 2e-16 ***
ORIGIN_GRID1307  0.0648197  0.1071358     0.605 0.545163    
ORIGIN_GRID1308  3.3970439  0.1005149    33.796  < 2e-16 ***
ORIGIN_GRID1310 -0.6729702  0.1643838    -4.094 4.24e-05 ***
ORIGIN_GRID1316  1.1984738  0.1056651    11.342  < 2e-16 ***
ORIGIN_GRID1317  2.7983923  0.1009575    27.719  < 2e-16 ***
ORIGIN_GRID1318  2.1236184  0.1014896    20.925  < 2e-16 ***
ORIGIN_GRID1319  5.0321782  0.1004139    50.114  < 2e-16 ***
ORIGIN_GRID1320  3.5566194  0.1007342    35.307  < 2e-16 ***
ORIGIN_GRID1325  1.7560980  0.1010735    17.374  < 2e-16 ***
ORIGIN_GRID1326  3.7205701  0.1004127    37.053  < 2e-16 ***
ORIGIN_GRID1327  3.5540095  0.1004296    35.388  < 2e-16 ***
ORIGIN_GRID1328  2.2125691  0.1007647    21.958  < 2e-16 ***
ORIGIN_GRID1329  2.4744793  0.1009903    24.502  < 2e-16 ***
ORIGIN_GRID1330  3.3033739  0.1006526    32.820  < 2e-16 ***
ORIGIN_GRID1331 -1.1713467  0.3177934    -3.686 0.000228 ***
ORIGIN_GRID1333  2.6698060  0.1010600    26.418  < 2e-16 ***
ORIGIN_GRID1334  3.0065056  0.1009524    29.781  < 2e-16 ***
ORIGIN_GRID1335  2.5291217  0.1016729    24.875  < 2e-16 ***
ORIGIN_GRID1336 -0.1474644  0.1468604    -1.004 0.315324    
ORIGIN_GRID1337  0.2470636  0.1115348     2.215 0.026751 *  
ORIGIN_GRID1338 -0.9135893  0.1292048    -7.071 1.54e-12 ***
ORIGIN_GRID1339  4.9639336  0.1004049    49.439  < 2e-16 ***
ORIGIN_GRID1340  3.2665827  0.1007261    32.430  < 2e-16 ***
ORIGIN_GRID1341 -2.3088124  0.7141937    -3.233 0.001226 ** 
ORIGIN_GRID1346  3.4026560  0.1005144    33.852  < 2e-16 ***
ORIGIN_GRID1347  4.3884822  0.1003876    43.715  < 2e-16 ***
ORIGIN_GRID1348  2.8104530  0.1005198    27.959  < 2e-16 ***
ORIGIN_GRID1349  2.6155059  0.1006526    25.985  < 2e-16 ***
ORIGIN_GRID1350  2.7938162  0.1009436    27.677  < 2e-16 ***
ORIGIN_GRID1353  3.0354008  0.1006777    30.150  < 2e-16 ***
ORIGIN_GRID1354  2.5276699  0.1010480    25.015  < 2e-16 ***
ORIGIN_GRID1355  3.2987920  0.1006796    32.765  < 2e-16 ***
ORIGIN_GRID1357  2.3738049  0.1020566    23.260  < 2e-16 ***
ORIGIN_GRID1358  3.6822100  0.1005900    36.606  < 2e-16 ***
ORIGIN_GRID1359  3.9768379  0.1004699    39.582  < 2e-16 ***
ORIGIN_GRID1360  4.0177193  0.1004794    39.985  < 2e-16 ***
ORIGIN_GRID1361  5.1611525  0.1004240    51.394  < 2e-16 ***
ORIGIN_GRID1362  1.1453311  0.1100489    10.407  < 2e-16 ***
ORIGIN_GRID1368  2.2340586  0.1006789    22.190  < 2e-16 ***
ORIGIN_GRID1369  2.0900018  0.1006956    20.756  < 2e-16 ***
ORIGIN_GRID1370  3.2287526  0.1004526    32.142  < 2e-16 ***
ORIGIN_GRID1371  2.5897292  0.1008101    25.689  < 2e-16 ***
ORIGIN_GRID1372  1.8429294  0.1011754    18.215  < 2e-16 ***
ORIGIN_GRID1373  0.3116016  0.1105622     2.818 0.004827 ** 
ORIGIN_GRID1374  2.0811461  0.1010582    20.594  < 2e-16 ***
ORIGIN_GRID1375  3.7069827  0.1006226    36.840  < 2e-16 ***
ORIGIN_GRID1376  3.1094062  0.1010919    30.758  < 2e-16 ***
ORIGIN_GRID1379  1.2644095  0.1060531    11.922  < 2e-16 ***
ORIGIN_GRID1380  5.3780143  0.1003818    53.576  < 2e-16 ***
ORIGIN_GRID1381  4.9463763  0.1004075    49.263  < 2e-16 ***
ORIGIN_GRID1382  4.3466645  0.1005344    43.236  < 2e-16 ***
ORIGIN_GRID1383  1.8005702  0.1031871    17.450  < 2e-16 ***
ORIGIN_GRID1388  2.8283655  0.1005374    28.132  < 2e-16 ***
ORIGIN_GRID1389  1.9742671  0.1007162    19.602  < 2e-16 ***
ORIGIN_GRID1390  2.7361843  0.1005490    27.212  < 2e-16 ***
ORIGIN_GRID1391  2.5510251  0.1006692    25.341  < 2e-16 ***
ORIGIN_GRID1392  2.3247808  0.1015622    22.890  < 2e-16 ***
ORIGIN_GRID1393  1.4929938  0.1014257    14.720  < 2e-16 ***
ORIGIN_GRID1394  2.9128744  0.1006041    28.954  < 2e-16 ***
ORIGIN_GRID1395  3.0160186  0.1005950    29.982  < 2e-16 ***
ORIGIN_GRID1396  4.0538719  0.1004568    40.354  < 2e-16 ***
ORIGIN_GRID1397  4.1209757  0.1004674    41.018  < 2e-16 ***
ORIGIN_GRID1398  3.0350966  0.1009216    30.074  < 2e-16 ***
ORIGIN_GRID1400  4.1361454  0.1005498    41.135  < 2e-16 ***
ORIGIN_GRID1401  4.5136368  0.1004124    44.951  < 2e-16 ***
ORIGIN_GRID1402  4.5303008  0.1004339    45.107  < 2e-16 ***
ORIGIN_GRID1404  4.5859623  0.1014911    45.186  < 2e-16 ***
ORIGIN_GRID1410  3.4314800  0.1004246    34.170  < 2e-16 ***
ORIGIN_GRID1411  2.3488174  0.1006429    23.338  < 2e-16 ***
ORIGIN_GRID1412  2.7031256  0.1005224    26.891  < 2e-16 ***
ORIGIN_GRID1413  3.5826793  0.1004417    35.669  < 2e-16 ***
ORIGIN_GRID1414  2.8849339  0.1005265    28.698  < 2e-16 ***
ORIGIN_GRID1415  2.3931358  0.1007484    23.754  < 2e-16 ***
ORIGIN_GRID1416  3.0316294  0.1005714    30.144  < 2e-16 ***
ORIGIN_GRID1417  3.2392992  0.1005351    32.221  < 2e-16 ***
ORIGIN_GRID1418  4.0230234  0.1004467    40.051  < 2e-16 ***
ORIGIN_GRID1419  3.4930192  0.1005440    34.741  < 2e-16 ***
ORIGIN_GRID1422  4.5664057  0.1004629    45.454  < 2e-16 ***
ORIGIN_GRID1423  5.4354113  0.1003991    54.138  < 2e-16 ***
ORIGIN_GRID1430  3.1352213  0.1004973    31.197  < 2e-16 ***
ORIGIN_GRID1431  3.1820886  0.1004442    31.680  < 2e-16 ***
ORIGIN_GRID1432  3.2290760  0.1004408    32.149  < 2e-16 ***
ORIGIN_GRID1433  1.9050886  0.1015702    18.756  < 2e-16 ***
ORIGIN_GRID1434  3.4354228  0.1004722    34.193  < 2e-16 ***
ORIGIN_GRID1435  3.8423249  0.1004085    38.267  < 2e-16 ***
ORIGIN_GRID1436  0.8548611  0.1027071     8.323  < 2e-16 ***
ORIGIN_GRID1437  4.0467862  0.1004225    40.298  < 2e-16 ***
ORIGIN_GRID1438  4.4889583  0.1003854    44.717  < 2e-16 ***
ORIGIN_GRID1439  5.1073003  0.1003745    50.882  < 2e-16 ***
ORIGIN_GRID1440  1.4914687  0.1023304    14.575  < 2e-16 ***
ORIGIN_GRID1442  4.4140879  0.1005515    43.899  < 2e-16 ***
ORIGIN_GRID1443  5.4612654  0.1004059    54.392  < 2e-16 ***
ORIGIN_GRID1444  4.4722421  0.1006065    44.453  < 2e-16 ***
ORIGIN_GRID1452  2.2927272  0.1006151    22.787  < 2e-16 ***
ORIGIN_GRID1453  2.4252330  0.1005965    24.109  < 2e-16 ***
ORIGIN_GRID1454  1.4222161  0.1019492    13.950  < 2e-16 ***
ORIGIN_GRID1455  2.8160148  0.1006512    27.978  < 2e-16 ***
ORIGIN_GRID1456  3.2316543  0.1005003    32.156  < 2e-16 ***
ORIGIN_GRID1457  4.0578273  0.1004118    40.412  < 2e-16 ***
ORIGIN_GRID1458  4.3992636  0.1003963    43.819  < 2e-16 ***
ORIGIN_GRID1459  3.8573210  0.1004336    38.407  < 2e-16 ***
ORIGIN_GRID1460  3.1210654  0.1005224    31.048  < 2e-16 ***
ORIGIN_GRID1461  1.6806758  0.1016995    16.526  < 2e-16 ***
ORIGIN_GRID1464  5.8306320  0.1003971    58.076  < 2e-16 ***
ORIGIN_GRID1465  5.3189375  0.1004480    52.952  < 2e-16 ***
ORIGIN_GRID1472  0.8137844  0.1020910     7.971 1.57e-15 ***
ORIGIN_GRID1473  1.8526275  0.1007895    18.381  < 2e-16 ***
ORIGIN_GRID1474  2.9603551  0.1004651    29.467  < 2e-16 ***
ORIGIN_GRID1475  3.9331160  0.1004112    39.170  < 2e-16 ***
ORIGIN_GRID1476  3.2247994  0.1005148    32.083  < 2e-16 ***
ORIGIN_GRID1477  4.7361719  0.1003663    47.189  < 2e-16 ***
ORIGIN_GRID1478  3.0694868  0.1005208    30.536  < 2e-16 ***
ORIGIN_GRID1479  3.2978447  0.1004875    32.818  < 2e-16 ***
ORIGIN_GRID1480  5.0953157  0.1003653    50.768  < 2e-16 ***
ORIGIN_GRID1481  2.4134010  0.1008218    23.937  < 2e-16 ***
ORIGIN_GRID1482  2.7047090  0.1011127    26.749  < 2e-16 ***
ORIGIN_GRID1485  5.2624717  0.1004530    52.387  < 2e-16 ***
ORIGIN_GRID1494  2.1223320  0.1010008    21.013  < 2e-16 ***
ORIGIN_GRID1495  2.2459139  0.1006206    22.321  < 2e-16 ***
ORIGIN_GRID1496  3.3741911  0.1004278    33.598  < 2e-16 ***
ORIGIN_GRID1497  3.5865812  0.1004554    35.703  < 2e-16 ***
ORIGIN_GRID1498  4.0136806  0.1004068    39.974  < 2e-16 ***
ORIGIN_GRID1499  4.2361750  0.1003912    42.197  < 2e-16 ***
ORIGIN_GRID1500  4.1202447  0.1004662    41.011  < 2e-16 ***
ORIGIN_GRID1501  4.4095220  0.1003935    43.922  < 2e-16 ***
ORIGIN_GRID1502  3.8689260  0.1004337    38.522  < 2e-16 ***
ORIGIN_GRID1506 -0.0087188  0.1477796    -0.059 0.952953    
ORIGIN_GRID1515  1.2212115  0.1025177    11.912  < 2e-16 ***
ORIGIN_GRID1516  2.7409105  0.1005329    27.264  < 2e-16 ***
ORIGIN_GRID1517  2.9810224  0.1005464    29.648  < 2e-16 ***
ORIGIN_GRID1518  2.9722790  0.1005827    29.551  < 2e-16 ***
ORIGIN_GRID1519  4.2251320  0.1004413    42.066  < 2e-16 ***
ORIGIN_GRID1520  3.7059897  0.1004426    36.897  < 2e-16 ***
ORIGIN_GRID1521  2.2343574  0.1009091    22.142  < 2e-16 ***
ORIGIN_GRID1522  4.6057302  0.1003859    45.880  < 2e-16 ***
ORIGIN_GRID1523  3.1342716  0.1014258    30.902  < 2e-16 ***
ORIGIN_GRID1524  3.3124342  0.1007415    32.881  < 2e-16 ***
ORIGIN_GRID1527  3.3037971  0.1015818    32.524  < 2e-16 ***
ORIGIN_GRID1535  0.1322641  0.1240388     1.066 0.286283    
ORIGIN_GRID1536  0.4130906  0.1053975     3.919 8.88e-05 ***
ORIGIN_GRID1537  1.5224101  0.1015144    14.997  < 2e-16 ***
ORIGIN_GRID1538  2.8787394  0.1005001    28.644  < 2e-16 ***
ORIGIN_GRID1539  3.3382933  0.1004474    33.234  < 2e-16 ***
ORIGIN_GRID1540  3.8965991  0.1004149    38.805  < 2e-16 ***
ORIGIN_GRID1541  5.1512422  0.1004464    51.283  < 2e-16 ***
ORIGIN_GRID1542  2.1440722  0.1013033    21.165  < 2e-16 ***
ORIGIN_GRID1543  2.9612403  0.1022291    28.967  < 2e-16 ***
ORIGIN_GRID1544  3.8341491  0.1005272    38.140  < 2e-16 ***
ORIGIN_GRID1547  0.6839596  0.1156973     5.912 3.39e-09 ***
ORIGIN_GRID1556  0.9477266  0.1156187     8.197 2.46e-16 ***
ORIGIN_GRID1557  0.6356998  0.1049426     6.058 1.38e-09 ***
ORIGIN_GRID1558  1.7819130  0.1018510    17.495  < 2e-16 ***
ORIGIN_GRID1559  3.5119022  0.1004310    34.968  < 2e-16 ***
ORIGIN_GRID1560  4.3279668  0.1003868    43.113  < 2e-16 ***
ORIGIN_GRID1561  4.1587301  0.1004252    41.411  < 2e-16 ***
ORIGIN_GRID1562  1.2529820  0.1020748    12.275  < 2e-16 ***
ORIGIN_GRID1563  3.0528514  0.1005694    30.356  < 2e-16 ***
ORIGIN_GRID1564  2.1748816  0.1011153    21.509  < 2e-16 ***
ORIGIN_GRID1565  2.2595420  0.1011988    22.328  < 2e-16 ***
ORIGIN_GRID1566  2.0073086  0.1021281    19.655  < 2e-16 ***
ORIGIN_GRID1567  0.0350661  0.1261849     0.278 0.781093    
ORIGIN_GRID1568  0.8185451  0.1171117     6.989 2.76e-12 ***
ORIGIN_GRID1578 -2.1453559  0.7142237    -3.004 0.002667 ** 
ORIGIN_GRID1580  2.0616481  0.1014060    20.331  < 2e-16 ***
ORIGIN_GRID1581  0.7317271  0.1022116     7.159 8.13e-13 ***
ORIGIN_GRID1582  4.0327898  0.1003941    40.170  < 2e-16 ***
ORIGIN_GRID1583  2.2292313  0.1022484    21.802  < 2e-16 ***
ORIGIN_GRID1584  2.5752566  0.1007941    25.550  < 2e-16 ***
ORIGIN_GRID1585  3.2360153  0.1007030    32.134  < 2e-16 ***
ORIGIN_GRID1586  2.2553380  0.1010367    22.322  < 2e-16 ***
ORIGIN_GRID1589  1.0688456  0.1076763     9.926  < 2e-16 ***
ORIGIN_GRID1590  0.9218721  0.1156474     7.971 1.57e-15 ***
ORIGIN_GRID1600  4.1218021  0.1007980    40.892  < 2e-16 ***
ORIGIN_GRID1601  2.6324355  0.1005783    26.173  < 2e-16 ***
ORIGIN_GRID1602  3.2884377  0.1004928    32.723  < 2e-16 ***
ORIGIN_GRID1603  4.2361047  0.1003977    42.193  < 2e-16 ***
ORIGIN_GRID1604  2.7432041  0.1006005    27.268  < 2e-16 ***
ORIGIN_GRID1605  4.1152276  0.1004088    40.985  < 2e-16 ***
ORIGIN_GRID1606  3.6117269  0.1007186    35.860  < 2e-16 ***
ORIGIN_GRID1607  2.8513610  0.1007390    28.304  < 2e-16 ***
ORIGIN_GRID1608  4.9225969  0.1004193    49.020  < 2e-16 ***
ORIGIN_GRID1609  4.7980497  0.1004714    47.755  < 2e-16 ***
ORIGIN_GRID1610  1.2483671  0.1167185    10.696  < 2e-16 ***
ORIGIN_GRID1622  2.6895919  0.1023535    26.277  < 2e-16 ***
ORIGIN_GRID1623  4.0019013  0.1004006    39.859  < 2e-16 ***
ORIGIN_GRID1624  2.7489627  0.1006313    27.317  < 2e-16 ***
ORIGIN_GRID1625  4.1805356  0.1004215    41.630  < 2e-16 ***
ORIGIN_GRID1626  4.8288640  0.1003780    48.107  < 2e-16 ***
ORIGIN_GRID1627  3.2391467  0.1005497    32.214  < 2e-16 ***
ORIGIN_GRID1628  4.9267465  0.1003829    49.080  < 2e-16 ***
ORIGIN_GRID1629  3.8766669  0.1005455    38.556  < 2e-16 ***
ORIGIN_GRID1630  3.9816900  0.1006119    39.575  < 2e-16 ***
ORIGIN_GRID1631  0.3734889  0.1162844     3.212 0.001319 ** 
ORIGIN_GRID1642  1.4897086  0.1039695    14.328  < 2e-16 ***
ORIGIN_GRID1643  3.9062898  0.1004161    38.901  < 2e-16 ***
ORIGIN_GRID1644  1.6880892  0.1015603    16.622  < 2e-16 ***
ORIGIN_GRID1645  3.2080667  0.1004943    31.923  < 2e-16 ***
ORIGIN_GRID1646  3.0377929  0.1006703    30.176  < 2e-16 ***
ORIGIN_GRID1647  3.4561878  0.1004727    34.399  < 2e-16 ***
ORIGIN_GRID1648  4.0660524  0.1004307    40.486  < 2e-16 ***
ORIGIN_GRID1649  4.7942664  0.1003914    47.756  < 2e-16 ***
ORIGIN_GRID1650  4.8749923  0.1004588    48.527  < 2e-16 ***
ORIGIN_GRID1664 -1.1414346  0.1946605    -5.864 4.53e-09 ***
ORIGIN_GRID1665  4.1162359  0.1003984    40.999  < 2e-16 ***
ORIGIN_GRID1666  2.8342030  0.1005484    28.187  < 2e-16 ***
ORIGIN_GRID1667  3.8142665  0.1008037    37.839  < 2e-16 ***
ORIGIN_GRID1668  3.9442079  0.1004276    39.274  < 2e-16 ***
ORIGIN_GRID1670  4.8345565  0.1003817    48.162  < 2e-16 ***
ORIGIN_GRID1671  5.4968496  0.1004560    54.719  < 2e-16 ***
ORIGIN_GRID1672  5.0937905  0.1004928    50.688  < 2e-16 ***
ORIGIN_GRID1684  3.2219251  0.1010096    31.897  < 2e-16 ***
ORIGIN_GRID1685  3.6724775  0.1004572    36.558  < 2e-16 ***
ORIGIN_GRID1686  3.5342253  0.1004591    35.181  < 2e-16 ***
ORIGIN_GRID1687  3.1354876  0.1005787    31.174  < 2e-16 ***
ORIGIN_GRID1688  2.7180912  0.1006496    27.005  < 2e-16 ***
ORIGIN_GRID1689  2.3083624  0.1010190    22.851  < 2e-16 ***
ORIGIN_GRID1690  3.7125776  0.1005264    36.931  < 2e-16 ***
ORIGIN_GRID1691  4.5199909  0.1004184    45.012  < 2e-16 ***
ORIGIN_GRID1692  4.1082092  0.1006342    40.823  < 2e-16 ***
ORIGIN_GRID1706  3.6525290  0.1005078    36.341  < 2e-16 ***
ORIGIN_GRID1707  3.5459630  0.1004426    35.303  < 2e-16 ***
ORIGIN_GRID1708  4.0596188  0.1004040    40.433  < 2e-16 ***
ORIGIN_GRID1709  3.1537955  0.1005319    31.371  < 2e-16 ***
ORIGIN_GRID1710  4.4121658  0.1004085    43.942  < 2e-16 ***
ORIGIN_GRID1711  4.2445157  0.1004402    42.259  < 2e-16 ***
ORIGIN_GRID1712  4.8517426  0.1003811    48.333  < 2e-16 ***
ORIGIN_GRID1713  2.4750570  0.1010708    24.488  < 2e-16 ***
ORIGIN_GRID1714  5.0799943  0.1004319    50.581  < 2e-16 ***
ORIGIN_GRID1727  3.8359621  0.1004553    38.186  < 2e-16 ***
ORIGIN_GRID1728  3.6988804  0.1004341    36.829  < 2e-16 ***
ORIGIN_GRID1729  3.2097298  0.1004769    31.945  < 2e-16 ***
ORIGIN_GRID1730  1.3279405  0.1022935    12.982  < 2e-16 ***
ORIGIN_GRID1731  3.8185051  0.1004666    38.008  < 2e-16 ***
ORIGIN_GRID1732  4.5334488  0.1003915    45.158  < 2e-16 ***
ORIGIN_GRID1733  4.2432823  0.1004237    42.254  < 2e-16 ***
ORIGIN_GRID1734  4.6718715  0.1004171    46.525  < 2e-16 ***
ORIGIN_GRID1735  6.3470838  0.1005342    63.134  < 2e-16 ***
ORIGIN_GRID1748  2.6190051  0.1007449    25.996  < 2e-16 ***
ORIGIN_GRID1749  3.5582594  0.1004449    35.425  < 2e-16 ***
ORIGIN_GRID1750  2.6833713  0.1005772    26.680  < 2e-16 ***
ORIGIN_GRID1751  2.0126535  0.1008784    19.951  < 2e-16 ***
ORIGIN_GRID1753  4.5536089  0.1003994    45.355  < 2e-16 ***
ORIGIN_GRID1754  4.9198090  0.1003804    49.012  < 2e-16 ***
ORIGIN_GRID1755  4.4053786  0.1004215    43.869  < 2e-16 ***
ORIGIN_GRID1756  4.3867328  0.1004647    43.664  < 2e-16 ***
ORIGIN_GRID1757  2.8483624  0.1033277    27.566  < 2e-16 ***
ORIGIN_GRID1769  3.4282577  0.1004852    34.117  < 2e-16 ***
ORIGIN_GRID1770  3.3538458  0.1006687    33.316  < 2e-16 ***
ORIGIN_GRID1771  2.2496739  0.1008075    22.317  < 2e-16 ***
ORIGIN_GRID1772  1.0401754  0.1030649    10.092  < 2e-16 ***
ORIGIN_GRID1774  4.2528008  0.1004158    42.352  < 2e-16 ***
ORIGIN_GRID1775  3.9210431  0.1004704    39.027  < 2e-16 ***
ORIGIN_GRID1776  5.1128416  0.1003853    50.932  < 2e-16 ***
ORIGIN_GRID1777  5.1684127  0.1004066    51.475  < 2e-16 ***
ORIGIN_GRID1778  4.9274447  0.1010173    48.778  < 2e-16 ***
ORIGIN_GRID1790  4.0781793  0.1004404    40.603  < 2e-16 ***
ORIGIN_GRID1791  3.3803097  0.1005194    33.628  < 2e-16 ***
ORIGIN_GRID1792  3.3787136  0.1005308    33.609  < 2e-16 ***
ORIGIN_GRID1793  1.4168909  0.1012137    13.999  < 2e-16 ***
ORIGIN_GRID1794  1.1432445  0.1040542    10.987  < 2e-16 ***
ORIGIN_GRID1795  0.7178194  0.1055410     6.801 1.04e-11 ***
ORIGIN_GRID1796  4.7880469  0.1004133    47.683  < 2e-16 ***
ORIGIN_GRID1797  4.7566052  0.1004021    47.376  < 2e-16 ***
ORIGIN_GRID1798  4.7821826  0.1004042    47.629  < 2e-16 ***
ORIGIN_GRID1799  4.0115988  0.1006147    39.871  < 2e-16 ***
ORIGIN_GRID1800  3.1138513  0.1042537    29.868  < 2e-16 ***
ORIGIN_GRID1811  3.1181622  0.1005835    31.001  < 2e-16 ***
ORIGIN_GRID1812  4.2843547  0.1003896    42.677  < 2e-16 ***
ORIGIN_GRID1813  4.0769197  0.1004016    40.606  < 2e-16 ***
ORIGIN_GRID1817  4.6434638  0.1004636    46.220  < 2e-16 ***
ORIGIN_GRID1818  4.6175576  0.1004234    45.981  < 2e-16 ***
ORIGIN_GRID1819  5.1324649  0.1003969    51.122  < 2e-16 ***
ORIGIN_GRID1820  2.3097887  0.1057484    21.842  < 2e-16 ***
ORIGIN_GRID1832  3.9012285  0.1004610    38.833  < 2e-16 ***
ORIGIN_GRID1833  3.3482787  0.1004959    33.318  < 2e-16 ***
ORIGIN_GRID1834  3.6848858  0.1004278    36.692  < 2e-16 ***
ORIGIN_GRID1835  2.9856488  0.1005898    29.681  < 2e-16 ***
ORIGIN_GRID1837  0.3223500  0.1173639     2.747 0.006022 ** 
ORIGIN_GRID1839  4.2459300  0.1005407    42.231  < 2e-16 ***
ORIGIN_GRID1840  5.8890411  0.1003678    58.675  < 2e-16 ***
ORIGIN_GRID1841  1.7678408  0.1060830    16.665  < 2e-16 ***
ORIGIN_GRID1842  5.8189861  0.1009122    57.664  < 2e-16 ***
ORIGIN_GRID1853  3.7274808  0.1004463    37.109  < 2e-16 ***
ORIGIN_GRID1854  3.9871508  0.1004314    39.700  < 2e-16 ***
ORIGIN_GRID1855  4.2652547  0.1004111    42.478  < 2e-16 ***
ORIGIN_GRID1858  2.0232046  0.1034942    19.549  < 2e-16 ***
ORIGIN_GRID1860  5.4043073  0.1006808    53.678  < 2e-16 ***
ORIGIN_GRID1861  4.8532512  0.1004320    48.324  < 2e-16 ***
ORIGIN_GRID1874  3.9366987  0.1005026    39.170  < 2e-16 ***
ORIGIN_GRID1875  2.2991178  0.1010791    22.746  < 2e-16 ***
ORIGIN_GRID1876  4.3912895  0.1008325    43.550  < 2e-16 ***
ORIGIN_GRID1877  3.9719364  0.1004382    39.546  < 2e-16 ***
ORIGIN_GRID1880  0.3300626  0.1124314     2.936 0.003328 ** 
ORIGIN_GRID1882  4.7063675  0.1004472    46.854  < 2e-16 ***
ORIGIN_GRID1883  5.1944974  0.1007259    51.571  < 2e-16 ***
ORIGIN_GRID1895  4.0630461  0.1004338    40.455  < 2e-16 ***
ORIGIN_GRID1896  2.3625125  0.1007903    23.440  < 2e-16 ***
ORIGIN_GRID1897  3.0520051  0.1007031    30.307  < 2e-16 ***
ORIGIN_GRID1898 -1.2503465  0.1661830    -7.524 5.32e-14 ***
ORIGIN_GRID1901  0.5874224  0.1163654     5.048 4.46e-07 ***
ORIGIN_GRID1903  4.2769556  0.1007094    42.468  < 2e-16 ***
ORIGIN_GRID1917  2.6846859  0.1007241    26.654  < 2e-16 ***
ORIGIN_GRID1918  4.0681058  0.1004877    40.484  < 2e-16 ***
ORIGIN_GRID1919  3.9524693  0.1004550    39.346  < 2e-16 ***
ORIGIN_GRID1922  1.7980128  0.1042645    17.245  < 2e-16 ***
ORIGIN_GRID1924  4.4179094  0.1007479    43.851  < 2e-16 ***
ORIGIN_GRID1937  3.4623933  0.1005474    34.435  < 2e-16 ***
ORIGIN_GRID1938  4.0639726  0.1004229    40.469  < 2e-16 ***
ORIGIN_GRID1939  4.6514611  0.1004088    46.325  < 2e-16 ***
ORIGIN_GRID1942  0.3978665  0.1107947     3.591 0.000329 ***
ORIGIN_GRID1959  3.0226931  0.1006772    30.024  < 2e-16 ***
ORIGIN_GRID1960  5.0006618  0.1003690    49.823  < 2e-16 ***
ORIGIN_GRID1961  3.4234796  0.1005496    34.048  < 2e-16 ***
ORIGIN_GRID1962  4.4158639  0.1004181    43.975  < 2e-16 ***
ORIGIN_GRID1964 -0.5500275  0.1335544    -4.118 3.82e-05 ***
ORIGIN_GRID1979  3.3378918  0.1006178    33.174  < 2e-16 ***
ORIGIN_GRID1980  1.6182015  0.1012348    15.985  < 2e-16 ***
ORIGIN_GRID1981  4.0507154  0.1004199    40.338  < 2e-16 ***
ORIGIN_GRID1982  3.1459185  0.1008875    31.182  < 2e-16 ***
ORIGIN_GRID1983  4.3614080  0.1004207    43.431  < 2e-16 ***
ORIGIN_GRID1984  3.1312036  0.1006016    31.125  < 2e-16 ***
ORIGIN_GRID1985  3.8113107  0.1005183    37.917  < 2e-16 ***
ORIGIN_GRID2001  3.6244783  0.1004922    36.067  < 2e-16 ***
ORIGIN_GRID2002  4.1877326  0.1003979    41.711  < 2e-16 ***
ORIGIN_GRID2003  3.7845897  0.1004520    37.676  < 2e-16 ***
ORIGIN_GRID2004  4.4556179  0.1004133    44.373  < 2e-16 ***
ORIGIN_GRID2005  4.3314673  0.1004136    43.136  < 2e-16 ***
ORIGIN_GRID2006  2.8832416  0.1007363    28.622  < 2e-16 ***
ORIGIN_GRID2007  2.2919319  0.1015567    22.568  < 2e-16 ***
ORIGIN_GRID2022  4.0233309  0.1004895    40.037  < 2e-16 ***
ORIGIN_GRID2023  4.4416103  0.1003953    44.241  < 2e-16 ***
ORIGIN_GRID2024  3.7581981  0.1004360    37.419  < 2e-16 ***
ORIGIN_GRID2025  3.7889671  0.1004320    37.727  < 2e-16 ***
ORIGIN_GRID2026  2.3950364  0.1009778    23.718  < 2e-16 ***
ORIGIN_GRID2027  4.6961779  0.1004080    46.771  < 2e-16 ***
ORIGIN_GRID2043  3.3461199  0.1006026    33.261  < 2e-16 ***
ORIGIN_GRID2044  4.0579763  0.1004153    40.412  < 2e-16 ***
ORIGIN_GRID2045 -0.4958288  0.1248907    -3.970 7.18e-05 ***
ORIGIN_GRID2046  4.0029178  0.1004019    39.869  < 2e-16 ***
ORIGIN_GRID2047  3.8143470  0.1004559    37.970  < 2e-16 ***
ORIGIN_GRID2048  4.0338690  0.1004334    40.165  < 2e-16 ***
ORIGIN_GRID2049  3.0557038  0.1012518    30.179  < 2e-16 ***
ORIGIN_GRID2064  4.0574021  0.1004440    40.395  < 2e-16 ***
ORIGIN_GRID2065  2.5235235  0.1006615    25.069  < 2e-16 ***
ORIGIN_GRID2066  2.0821570  0.1024044    20.333  < 2e-16 ***
ORIGIN_GRID2067  5.2502722  0.1003650    52.312  < 2e-16 ***
ORIGIN_GRID2068  3.6181111  0.1005535    35.982  < 2e-16 ***
ORIGIN_GRID2069  3.9058297  0.1004762    38.873  < 2e-16 ***
ORIGIN_GRID2085  2.9231873  0.1007466    29.015  < 2e-16 ***
ORIGIN_GRID2086  4.3155383  0.1004095    42.979  < 2e-16 ***
ORIGIN_GRID2087  2.9677844  0.1005760    29.508  < 2e-16 ***
ORIGIN_GRID2088  3.6670368  0.1004292    36.514  < 2e-16 ***
ORIGIN_GRID2089  3.3756487  0.1005328    33.578  < 2e-16 ***
ORIGIN_GRID2090  4.9253963  0.1003872    49.064  < 2e-16 ***
ORIGIN_GRID2091  0.2353316  0.1211687     1.942 0.052115 .  
ORIGIN_GRID2105  0.7999814  0.1423941     5.618 1.93e-08 ***
ORIGIN_GRID2106  1.2735736  0.1020496    12.480  < 2e-16 ***
ORIGIN_GRID2107  2.3459010  0.1007379    23.287  < 2e-16 ***
ORIGIN_GRID2108  3.6614114  0.1004703    36.443  < 2e-16 ***
ORIGIN_GRID2109  3.7218408  0.1004275    37.060  < 2e-16 ***
ORIGIN_GRID2110  3.1754116  0.1005779    31.572  < 2e-16 ***
ORIGIN_GRID2111  0.5711390  0.1077343     5.301 1.15e-07 ***
ORIGIN_GRID2128  2.2044923  0.1011532    21.794  < 2e-16 ***
ORIGIN_GRID2129  1.5488561  0.1013529    15.282  < 2e-16 ***
ORIGIN_GRID2130  4.1541384  0.1004027    41.375  < 2e-16 ***
ORIGIN_GRID2131  4.5233423  0.1004267    45.041  < 2e-16 ***
ORIGIN_GRID2132  3.4831104  0.1004997    34.658  < 2e-16 ***
ORIGIN_GRID2148  3.0534502  0.1009199    30.256  < 2e-16 ***
ORIGIN_GRID2149  1.4415944  0.1015010    14.203  < 2e-16 ***
ORIGIN_GRID2150  4.0657758  0.1004301    40.484  < 2e-16 ***
ORIGIN_GRID2151  4.5381506  0.1003888    45.206  < 2e-16 ***
ORIGIN_GRID2152  4.7159770  0.1003974    46.973  < 2e-16 ***
ORIGIN_GRID2153  4.0221935  0.1004805    40.030  < 2e-16 ***
ORIGIN_GRID2171  3.0548332  0.1005720    30.375  < 2e-16 ***
ORIGIN_GRID2172  3.2161514  0.1006197    31.963  < 2e-16 ***
ORIGIN_GRID2173  3.6729243  0.1004566    36.562  < 2e-16 ***
ORIGIN_GRID2174  3.9984710  0.1004618    39.801  < 2e-16 ***
ORIGIN_GRID2191  2.5128952  0.1008547    24.916  < 2e-16 ***
ORIGIN_GRID2192  2.4267298  0.1008956    24.052  < 2e-16 ***
ORIGIN_GRID2193  3.3890370  0.1005112    33.718  < 2e-16 ***
ORIGIN_GRID2194  3.8418161  0.1004527    38.245  < 2e-16 ***
ORIGIN_GRID2195  3.2285182  0.1023062    31.557  < 2e-16 ***
ORIGIN_GRID2212  0.2953824  0.1282720     2.303 0.021291 *  
ORIGIN_GRID2213  0.3340116  0.1073161     3.112 0.001856 ** 
ORIGIN_GRID2214  1.0728998  0.1032750    10.389  < 2e-16 ***
ORIGIN_GRID2215  3.5426426  0.1005448    35.234  < 2e-16 ***
ORIGIN_GRID2216  2.4994233  0.1008905    24.774  < 2e-16 ***
ORIGIN_GRID2233  0.7721829  0.1075956     7.177 7.14e-13 ***
ORIGIN_GRID2234  2.0366962  0.1022666    19.916  < 2e-16 ***
ORIGIN_GRID2235  2.2817402  0.1011767    22.552  < 2e-16 ***
ORIGIN_GRID2236  2.2409620  0.1011103    22.164  < 2e-16 ***
ORIGIN_GRID2237  0.1392449  0.1136925     1.225 0.220669    
ORIGIN_GRID2256 -0.3745698  0.1122662    -3.336 0.000849 ***
ORIGIN_GRID2257  2.0435553  0.1020116    20.033  < 2e-16 ***
ORIGIN_GRID2258  1.2982435  0.1018509    12.747  < 2e-16 ***
ORIGIN_GRID2259  1.1478960  0.1063560    10.793  < 2e-16 ***
ORIGIN_GRID2277  1.9588427  0.1077451    18.180  < 2e-16 ***
ORIGIN_GRID2278  2.7213171  0.1014343    26.828  < 2e-16 ***
ORIGIN_GRID2279  1.1870395  0.1021348    11.622  < 2e-16 ***
ORIGIN_GRID2280 -0.5879540  0.1421112    -4.137 3.51e-05 ***
ORIGIN_GRID2297  3.9210246  0.1007073    38.935  < 2e-16 ***
ORIGIN_GRID2300  0.0397725  0.1166747     0.341 0.733191    
ORIGIN_GRID2301  1.5574661  0.1019765    15.273  < 2e-16 ***
ORIGIN_GRID2318  2.0212338  0.1019608    19.824  < 2e-16 ***
ORIGIN_GRID2319  2.7441430  0.1008421    27.212  < 2e-16 ***
ORIGIN_GRID2322  2.6274337  0.1010603    25.999  < 2e-16 ***
ORIGIN_GRID2337  3.5925908  0.1018439    35.275  < 2e-16 ***
ORIGIN_GRID2341  3.2000207  0.1007471    31.763  < 2e-16 ***
ORIGIN_GRID2343  1.9105689  0.1013086    18.859  < 2e-16 ***
ORIGIN_GRID2361  2.5401473  0.1008899    25.177  < 2e-16 ***
ORIGIN_GRID2364 -0.7357437  0.1192744    -6.168 6.89e-10 ***
ORIGIN_GRID2379  2.7457558  0.1024462    26.802  < 2e-16 ***
ORIGIN_GRID2384  1.9663879  0.1013959    19.393  < 2e-16 ***
ORIGIN_GRID2405  1.6644705  0.1014058    16.414  < 2e-16 ***
ORIGIN_GRID2406  0.2916970  0.1057112     2.759 0.005791 ** 
ORIGIN_GRID2426  1.1799647  0.1038034    11.367  < 2e-16 ***
ORIGIN_GRID2427  2.7137272  0.1009234    26.889  < 2e-16 ***
ORIGIN_GRID2505  2.8849467  0.1069531    26.974  < 2e-16 ***
DESTIN_GRID44    1.3495626  0.0506959    26.621  < 2e-16 ***
DESTIN_GRID46    0.1280422  0.0508718     2.517 0.011837 *  
DESTIN_GRID66   -0.4152746  0.0634268    -6.547 5.86e-11 ***
DESTIN_GRID67    0.2349389  0.0485598     4.838 1.31e-06 ***
DESTIN_GRID68   -0.2021932  0.0507557    -3.984 6.79e-05 ***
DESTIN_GRID86    0.2638183  0.0576176     4.579 4.68e-06 ***
DESTIN_GRID87   -3.3465839  0.0996054   -33.598  < 2e-16 ***
DESTIN_GRID88   -0.3213653  0.0495777    -6.482 9.05e-11 ***
DESTIN_GRID89   -1.1563251  0.0520632   -22.210  < 2e-16 ***
DESTIN_GRID90   -3.3319267  0.5024198    -6.632 3.32e-11 ***
DESTIN_GRID109  -0.8774652  0.0531102   -16.522  < 2e-16 ***
DESTIN_GRID110  -3.3164246  0.1106914   -29.961  < 2e-16 ***
DESTIN_GRID111   0.9552291  0.0478232    19.974  < 2e-16 ***
DESTIN_GRID112  -2.5526458  0.0553290   -46.136  < 2e-16 ***
DESTIN_GRID128   1.0918830  0.0515116    21.197  < 2e-16 ***
DESTIN_GRID129  -4.4555328  0.1223313   -36.422  < 2e-16 ***
DESTIN_GRID130  -0.9129110  0.0514995   -17.727  < 2e-16 ***
DESTIN_GRID131  -1.3912146  0.0526634   -26.417  < 2e-16 ***
DESTIN_GRID132  -0.5991367  0.0486872   -12.306  < 2e-16 ***
DESTIN_GRID133  -1.0555313  0.0480531   -21.966  < 2e-16 ***
DESTIN_GRID134  -0.9278026  0.0478843   -19.376  < 2e-16 ***
DESTIN_GRID150  -0.5895994  0.0570827   -10.329  < 2e-16 ***
DESTIN_GRID151  -0.6594543  0.0511920   -12.882  < 2e-16 ***
DESTIN_GRID152   0.4333575  0.0487296     8.893  < 2e-16 ***
DESTIN_GRID153  -0.2853056  0.0485506    -5.876 4.19e-09 ***
DESTIN_GRID154  -2.4603871  0.0536806   -45.834  < 2e-16 ***
DESTIN_GRID155  -1.7818937  0.0495617   -35.953  < 2e-16 ***
DESTIN_GRID156  -1.7415230  0.0505156   -34.475  < 2e-16 ***
DESTIN_GRID172  -1.8823016  0.0645538   -29.159  < 2e-16 ***
DESTIN_GRID174  -1.3154233  0.0490619   -26.812  < 2e-16 ***
DESTIN_GRID175  -0.7766725  0.0475672   -16.328  < 2e-16 ***
DESTIN_GRID176  -2.3021139  0.0544478   -42.281  < 2e-16 ***
DESTIN_GRID195  -2.7568239  0.0555904   -49.592  < 2e-16 ***
DESTIN_GRID196  -1.2537334  0.0476691   -26.301  < 2e-16 ***
DESTIN_GRID197  -3.6350722  0.0986815   -36.836  < 2e-16 ***
DESTIN_GRID215  -0.6347104  0.0543067   -11.688  < 2e-16 ***
DESTIN_GRID216  -0.8567137  0.0491534   -17.429  < 2e-16 ***
DESTIN_GRID217  -0.5133858  0.0474758   -10.814  < 2e-16 ***
DESTIN_GRID237  -2.8210848  0.0548078   -51.472  < 2e-16 ***
DESTIN_GRID238  -1.9196952  0.0489247   -39.238  < 2e-16 ***
DESTIN_GRID239  -2.0673874  0.0551731   -37.471  < 2e-16 ***
DESTIN_GRID257   0.2237384  0.0491698     4.550 5.36e-06 ***
DESTIN_GRID258  -1.8042188  0.0505788   -35.671  < 2e-16 ***
DESTIN_GRID259  -0.6988955  0.0481634   -14.511  < 2e-16 ***
DESTIN_GRID278   0.2728395  0.0492864     5.536 3.10e-08 ***
DESTIN_GRID279  -1.2520245  0.0483848   -25.876  < 2e-16 ***
DESTIN_GRID280  -0.9063355  0.0482511   -18.784  < 2e-16 ***
DESTIN_GRID298  -3.9439533  0.1405414   -28.063  < 2e-16 ***
DESTIN_GRID299  -0.9794235  0.0494178   -19.819  < 2e-16 ***
DESTIN_GRID300  -1.4961066  0.0496325   -30.144  < 2e-16 ***
DESTIN_GRID320   0.2562169  0.0487310     5.258 1.46e-07 ***
DESTIN_GRID321  -1.8167603  0.0521209   -34.857  < 2e-16 ***
DESTIN_GRID322  -0.7410356  0.0481140   -15.402  < 2e-16 ***
DESTIN_GRID340   1.0484831  0.0480473    21.822  < 2e-16 ***
DESTIN_GRID341  -0.2042881  0.0481650    -4.241 2.22e-05 ***
DESTIN_GRID342  -0.7364601  0.0478347   -15.396  < 2e-16 ***
DESTIN_GRID363  -0.8607758  0.0486689   -17.686  < 2e-16 ***
DESTIN_GRID364  -0.7601689  0.0473550   -16.053  < 2e-16 ***
DESTIN_GRID383   0.1689943  0.0475690     3.553 0.000381 ***
DESTIN_GRID384  -1.0273371  0.0474698   -21.642  < 2e-16 ***
DESTIN_GRID385  -1.9953252  0.0490848   -40.651  < 2e-16 ***
DESTIN_GRID404  -0.0182858  0.0490791    -0.373 0.709462    
DESTIN_GRID405  -0.3872977  0.0478899    -8.087 6.10e-16 ***
DESTIN_GRID406   0.0389398  0.0470549     0.828 0.407931    
DESTIN_GRID407  -0.3132055  0.0476072    -6.579 4.74e-11 ***
DESTIN_GRID408   0.8791608  0.0470809    18.673  < 2e-16 ***
DESTIN_GRID425  -1.8382768  0.0524428   -35.053  < 2e-16 ***
DESTIN_GRID426  -1.4882174  0.0478842   -31.080  < 2e-16 ***
DESTIN_GRID427  -3.8686490  0.0521885   -74.128  < 2e-16 ***
DESTIN_GRID428  -1.2875117  0.0480205   -26.812  < 2e-16 ***
DESTIN_GRID429  -1.6843635  0.0521242   -32.314  < 2e-16 ***
DESTIN_GRID446  -0.7607071  0.0517735   -14.693  < 2e-16 ***
DESTIN_GRID447  -1.7064892  0.0498325   -34.244  < 2e-16 ***
DESTIN_GRID448  -1.9708580  0.0481539   -40.928  < 2e-16 ***
DESTIN_GRID449  -1.4231505  0.0474345   -30.002  < 2e-16 ***
DESTIN_GRID450  -1.7946136  0.0483497   -37.117  < 2e-16 ***
DESTIN_GRID468  -0.9441137  0.0478508   -19.730  < 2e-16 ***
DESTIN_GRID469  -1.8484974  0.0475808   -38.850  < 2e-16 ***
DESTIN_GRID470  -1.4559903  0.0473245   -30.766  < 2e-16 ***
DESTIN_GRID471  -1.2984521  0.0493671   -26.302  < 2e-16 ***
DESTIN_GRID488  -0.9271153  0.0519129   -17.859  < 2e-16 ***
DESTIN_GRID489  -2.9827708  0.0665284   -44.835  < 2e-16 ***
DESTIN_GRID490  -1.0051724  0.0475304   -21.148  < 2e-16 ***
DESTIN_GRID491  -3.3010268  0.0491184   -67.205  < 2e-16 ***
DESTIN_GRID493  -3.9528022  0.0680716   -58.068  < 2e-16 ***
DESTIN_GRID494  -2.0874905  0.0517434   -40.343  < 2e-16 ***
DESTIN_GRID509  -0.4840235  0.0491059    -9.857  < 2e-16 ***
DESTIN_GRID510  -0.7486772  0.0478441   -15.648  < 2e-16 ***
DESTIN_GRID511  -1.4758425  0.0472749   -31.218  < 2e-16 ***
DESTIN_GRID512  -1.6031926  0.0472335   -33.942  < 2e-16 ***
DESTIN_GRID513  -0.5590223  0.0474530   -11.781  < 2e-16 ***
DESTIN_GRID514  -1.0583779  0.0483465   -21.892  < 2e-16 ***
DESTIN_GRID515  -2.3268408  0.0552186   -42.139  < 2e-16 ***
DESTIN_GRID530  -1.2723327  0.0554557   -22.943  < 2e-16 ***
DESTIN_GRID531   1.0911496  0.0472243    23.106  < 2e-16 ***
DESTIN_GRID532  -1.3260638  0.0476267   -27.843  < 2e-16 ***
DESTIN_GRID533  -0.0954494  0.0469334    -2.034 0.041980 *  
DESTIN_GRID534  -1.4441856  0.0472596   -30.559  < 2e-16 ***
DESTIN_GRID536  -1.9005791  0.0500981   -37.937  < 2e-16 ***
DESTIN_GRID537  -2.6567347  0.0576665   -46.071  < 2e-16 ***
DESTIN_GRID538  -3.0042851  0.0633368   -47.433  < 2e-16 ***
DESTIN_GRID539  -6.5416661  0.5792660   -11.293  < 2e-16 ***
DESTIN_GRID551  -0.5981414  0.0501481   -11.927  < 2e-16 ***
DESTIN_GRID552  -0.1324237  0.0480075    -2.758 0.005809 ** 
DESTIN_GRID553  -2.0591800  0.0475919   -43.267  < 2e-16 ***
DESTIN_GRID554  -2.0842642  0.0473303   -44.037  < 2e-16 ***
DESTIN_GRID555  -0.8743113  0.0474417   -18.429  < 2e-16 ***
DESTIN_GRID559  -3.4175817  0.0720483   -47.435  < 2e-16 ***
DESTIN_GRID560  -0.7727836  0.0496647   -15.560  < 2e-16 ***
DESTIN_GRID561  -3.0885151  0.0820180   -37.657  < 2e-16 ***
DESTIN_GRID572  -1.4021222  0.0569690   -24.612  < 2e-16 ***
DESTIN_GRID573   0.2264018  0.0479500     4.722 2.34e-06 ***
DESTIN_GRID574  -1.7247883  0.0495898   -34.781  < 2e-16 ***
DESTIN_GRID575   0.9490355  0.0468882    20.240  < 2e-16 ***
DESTIN_GRID576  -1.7441754  0.0472702   -36.898  < 2e-16 ***
DESTIN_GRID578  -5.4377775  0.1164839   -46.683  < 2e-16 ***
DESTIN_GRID582  -3.5846840  0.0809654   -44.274  < 2e-16 ***
DESTIN_GRID583  -5.1903382  0.2232132   -23.253  < 2e-16 ***
DESTIN_GRID584  -1.7595755  0.0584817   -30.088  < 2e-16 ***
DESTIN_GRID593  -1.9346828  0.0525229   -36.835  < 2e-16 ***
DESTIN_GRID594  -0.7634362  0.0487487   -15.661  < 2e-16 ***
DESTIN_GRID595  -0.9807430  0.0472012   -20.778  < 2e-16 ***
DESTIN_GRID596  -1.5772983  0.0471246   -33.471  < 2e-16 ***
DESTIN_GRID597  -2.0997432  0.0493380   -42.558  < 2e-16 ***
DESTIN_GRID603  -3.0405570  0.0696184   -43.675  < 2e-16 ***
DESTIN_GRID604  -2.3675943  0.0646024   -36.649  < 2e-16 ***
DESTIN_GRID615  -1.7217658  0.0490676   -35.090  < 2e-16 ***
DESTIN_GRID616  -1.0868593  0.0476015   -22.832  < 2e-16 ***
DESTIN_GRID617  -2.3421948  0.0477307   -49.071  < 2e-16 ***
DESTIN_GRID618  -1.6226833  0.0472499   -34.343  < 2e-16 ***
DESTIN_GRID620  -1.6417405  0.0482311   -34.039  < 2e-16 ***
DESTIN_GRID637  -1.7294860  0.0480725   -35.977  < 2e-16 ***
DESTIN_GRID638  -1.6080488  0.0471949   -34.073  < 2e-16 ***
DESTIN_GRID657  -0.3390319  0.0473666    -7.158 8.21e-13 ***
DESTIN_GRID658  -1.0021724  0.0472316   -21.218  < 2e-16 ***
DESTIN_GRID659  -1.3354248  0.0471996   -28.293  < 2e-16 ***
DESTIN_GRID660  -0.7502161  0.0470248   -15.954  < 2e-16 ***
DESTIN_GRID662  -1.3689056  0.0481838   -28.410  < 2e-16 ***
DESTIN_GRID677  -0.2752989  0.0477647    -5.764 8.23e-09 ***
DESTIN_GRID678  -2.2304811  0.0488451   -45.664  < 2e-16 ***
DESTIN_GRID679  -0.7281267  0.0471188   -15.453  < 2e-16 ***
DESTIN_GRID680   0.6844101  0.0469281    14.584  < 2e-16 ***
DESTIN_GRID681  -3.0371383  0.0501582   -60.551  < 2e-16 ***
DESTIN_GRID699  -0.8906587  0.0476728   -18.683  < 2e-16 ***
DESTIN_GRID700  -1.2748854  0.0473349   -26.933  < 2e-16 ***
DESTIN_GRID701  -3.5732441  0.0505856   -70.638  < 2e-16 ***
DESTIN_GRID702  -1.0882752  0.0470954   -23.108  < 2e-16 ***
DESTIN_GRID704  -1.8866202  0.0480097   -39.297  < 2e-16 ***
DESTIN_GRID722  -2.1617685  0.0478438   -45.184  < 2e-16 ***
DESTIN_GRID725  -4.2045981  0.0540221   -77.831  < 2e-16 ***
DESTIN_GRID741  -0.2719026  0.0474027    -5.736 9.69e-09 ***
DESTIN_GRID743  -3.7955342  0.0513064   -73.978  < 2e-16 ***
DESTIN_GRID744  -1.0441557  0.0471084   -22.165  < 2e-16 ***
DESTIN_GRID761   0.0036278  0.0476019     0.076 0.939251    
DESTIN_GRID762  -1.9001852  0.0485379   -39.149  < 2e-16 ***
DESTIN_GRID763  -3.5817571  0.0510852   -70.113  < 2e-16 ***
DESTIN_GRID764  -0.4178652  0.0469908    -8.892  < 2e-16 ***
DESTIN_GRID765  -1.9754868  0.0477723   -41.352  < 2e-16 ***
DESTIN_GRID767  -1.6395205  0.0473755   -34.607  < 2e-16 ***
DESTIN_GRID772  -2.5797384  0.0584401   -44.143  < 2e-16 ***
DESTIN_GRID784  -3.2603614  0.0508765   -64.084  < 2e-16 ***
DESTIN_GRID785  -1.4661291  0.0471834   -31.073  < 2e-16 ***
DESTIN_GRID786  -1.4123522  0.0471303   -29.967  < 2e-16 ***
DESTIN_GRID787  -1.9329341  0.0478328   -40.410  < 2e-16 ***
DESTIN_GRID788  -3.3915868  0.0489109   -69.342  < 2e-16 ***
DESTIN_GRID789  -3.7647913  0.0497901   -75.613  < 2e-16 ***
DESTIN_GRID803  -1.2779525  0.0488514   -26.160  < 2e-16 ***
DESTIN_GRID804  -0.7909889  0.0473342   -16.711  < 2e-16 ***
DESTIN_GRID805   0.3053701  0.0469538     6.504 7.84e-11 ***
DESTIN_GRID806  -1.6445721  0.0472228   -34.826  < 2e-16 ***
DESTIN_GRID807  -1.5890671  0.0473856   -33.535  < 2e-16 ***
DESTIN_GRID808  -3.3081060  0.0508443   -65.063  < 2e-16 ***
DESTIN_GRID809  -1.8343522  0.0471893   -38.872  < 2e-16 ***
DESTIN_GRID810  -2.2649068  0.0476736   -47.509  < 2e-16 ***
DESTIN_GRID814  -1.5731474  0.0508098   -30.962  < 2e-16 ***
DESTIN_GRID824  -0.9219611  0.0487505   -18.912  < 2e-16 ***
DESTIN_GRID826  -1.3018592  0.0472517   -27.552  < 2e-16 ***
DESTIN_GRID827  -1.5533480  0.0472721   -32.860  < 2e-16 ***
DESTIN_GRID828  -1.3714921  0.0471171   -29.108  < 2e-16 ***
DESTIN_GRID829  -1.9951508  0.0475852   -41.928  < 2e-16 ***
DESTIN_GRID830  -3.2314838  0.0485679   -66.535  < 2e-16 ***
DESTIN_GRID831   0.1399327  0.0469568     2.980 0.002882 ** 
DESTIN_GRID832  -0.2433287  0.0470636    -5.170 2.34e-07 ***
DESTIN_GRID835  -2.0772460  0.0508337   -40.864  < 2e-16 ***
DESTIN_GRID844  -1.2794960  0.0501671   -25.505  < 2e-16 ***
DESTIN_GRID846  -1.2803524  0.0473702   -27.029  < 2e-16 ***
DESTIN_GRID847  -0.4827400  0.0470705   -10.256  < 2e-16 ***
DESTIN_GRID848  -1.7460043  0.0472812   -36.928  < 2e-16 ***
DESTIN_GRID849  -2.4981195  0.0475844   -52.499  < 2e-16 ***
DESTIN_GRID850  -1.7447887  0.0472240   -36.947  < 2e-16 ***
DESTIN_GRID851  -2.1024023  0.0472771   -44.470  < 2e-16 ***
DESTIN_GRID852  -2.3676413  0.0476344   -49.704  < 2e-16 ***
DESTIN_GRID853  -1.1544323  0.0476284   -24.238  < 2e-16 ***
DESTIN_GRID854  -1.3802737  0.0489938   -28.172  < 2e-16 ***
DESTIN_GRID855  -2.3280531  0.0508463   -45.786  < 2e-16 ***
DESTIN_GRID856  -2.9993254  0.0564727   -53.111  < 2e-16 ***
DESTIN_GRID866  -0.5839969  0.0479267   -12.185  < 2e-16 ***
DESTIN_GRID867   0.0127250  0.0470865     0.270 0.786970    
DESTIN_GRID868  -0.3686376  0.0471508    -7.818 5.36e-15 ***
DESTIN_GRID869   0.4005752  0.0471513     8.496  < 2e-16 ***
DESTIN_GRID870  -0.0482517  0.0469581    -1.028 0.304162    
DESTIN_GRID871  -0.0988468  0.0470412    -2.101 0.035616 *  
DESTIN_GRID872  -1.6267048  0.0472014   -34.463  < 2e-16 ***
DESTIN_GRID873  -2.1027231  0.0475468   -44.224  < 2e-16 ***
DESTIN_GRID874  -3.4580599  0.0487287   -70.966  < 2e-16 ***
DESTIN_GRID875  -2.9015945  0.0547587   -52.989  < 2e-16 ***
DESTIN_GRID876  -2.6022582  0.0506534   -51.374  < 2e-16 ***
DESTIN_GRID877  -1.7538096  0.0490527   -35.754  < 2e-16 ***
DESTIN_GRID887  -1.2143617  0.0475953   -25.514  < 2e-16 ***
DESTIN_GRID888  -2.5491393  0.0487738   -52.265  < 2e-16 ***
DESTIN_GRID889  -1.9497210  0.0485910   -40.125  < 2e-16 ***
DESTIN_GRID890  -0.8866741  0.0471140   -18.820  < 2e-16 ***
DESTIN_GRID891  -2.5112842  0.0490311   -51.218  < 2e-16 ***
DESTIN_GRID893  -1.2664459  0.0470843   -26.897  < 2e-16 ***
DESTIN_GRID894  -2.9397113  0.0483051   -60.857  < 2e-16 ***
DESTIN_GRID895  -1.7151271  0.0478036   -35.879  < 2e-16 ***
DESTIN_GRID896  -3.9256235  0.0556583   -70.531  < 2e-16 ***
DESTIN_GRID897  -3.9104923  0.0542341   -72.104  < 2e-16 ***
DESTIN_GRID898  -1.7658733  0.0490437   -36.006  < 2e-16 ***
DESTIN_GRID908  -0.4106790  0.0480287    -8.551  < 2e-16 ***
DESTIN_GRID909  -1.3981877  0.0473017   -29.559  < 2e-16 ***
DESTIN_GRID910  -2.3941249  0.0483270   -49.540  < 2e-16 ***
DESTIN_GRID911  -0.1152142  0.0470402    -2.449 0.014315 *  
DESTIN_GRID912  -1.8064575  0.0474028   -38.109  < 2e-16 ***
DESTIN_GRID915  -1.8470865  0.0472540   -39.088  < 2e-16 ***
DESTIN_GRID917  -0.4583931  0.0472103    -9.710  < 2e-16 ***
DESTIN_GRID918  -4.8681239  0.0615780   -79.056  < 2e-16 ***
DESTIN_GRID919  -2.9967836  0.0491149   -61.016  < 2e-16 ***
DESTIN_GRID928  -2.3438362  0.0498848   -46.985  < 2e-16 ***
DESTIN_GRID929  -1.4289635  0.0473698   -30.166  < 2e-16 ***
DESTIN_GRID930  -0.2442612  0.0470111    -5.196 2.04e-07 ***
DESTIN_GRID931  -1.7656181  0.0479587   -36.815  < 2e-16 ***
DESTIN_GRID932  -3.5472522  0.0528099   -67.170  < 2e-16 ***
DESTIN_GRID933  -1.4052059  0.0474667   -29.604  < 2e-16 ***
DESTIN_GRID934  -1.8988683  0.0475653   -39.921  < 2e-16 ***
DESTIN_GRID935   0.2045023  0.0469449     4.356 1.32e-05 ***
DESTIN_GRID938  -6.0069294  0.1803555   -33.306  < 2e-16 ***
DESTIN_GRID939   0.5064800  0.0470244    10.771  < 2e-16 ***
DESTIN_GRID940  -3.4390911  0.0504726   -68.138  < 2e-16 ***
DESTIN_GRID949  -2.0126723  0.0490368   -41.044  < 2e-16 ***
DESTIN_GRID950  -0.0693384  0.0471310    -1.471 0.141241    
DESTIN_GRID951   0.7358645  0.0469458    15.675  < 2e-16 ***
DESTIN_GRID952  -0.8881644  0.0474935   -18.701  < 2e-16 ***
DESTIN_GRID953  -1.3476504  0.0476464   -28.284  < 2e-16 ***
DESTIN_GRID954  -3.3401641  0.0498804   -66.963  < 2e-16 ***
DESTIN_GRID955  -0.4685853  0.0470725    -9.955  < 2e-16 ***
DESTIN_GRID956  -2.4777548  0.0477550   -51.885  < 2e-16 ***
DESTIN_GRID957  -2.2992036  0.0476585   -48.243  < 2e-16 ***
DESTIN_GRID959  -2.1028420  0.0519289   -40.495  < 2e-16 ***
DESTIN_GRID961  -2.3955311  0.0484142   -49.480  < 2e-16 ***
DESTIN_GRID962  -0.2117550  0.0471637    -4.490 7.13e-06 ***
DESTIN_GRID970  -0.6830823  0.0472723   -14.450  < 2e-16 ***
DESTIN_GRID971  -0.6625919  0.0470853   -14.072  < 2e-16 ***
DESTIN_GRID972  -1.4421293  0.0473797   -30.438  < 2e-16 ***
DESTIN_GRID974  -1.8600491  0.0480037   -38.748  < 2e-16 ***
DESTIN_GRID975  -3.1083974  0.0495356   -62.751  < 2e-16 ***
DESTIN_GRID976  -2.5638334  0.0481776   -53.216  < 2e-16 ***
DESTIN_GRID977  -2.0764229  0.0473213   -43.879  < 2e-16 ***
DESTIN_GRID978  -2.4531955  0.0481198   -50.981  < 2e-16 ***
DESTIN_GRID982  -2.9459205  0.0481192   -61.221  < 2e-16 ***
DESTIN_GRID991  -0.5827842  0.0473488   -12.308  < 2e-16 ***
DESTIN_GRID992  -0.4733879  0.0471725   -10.035  < 2e-16 ***
DESTIN_GRID993  -2.1479541  0.0478211   -44.916  < 2e-16 ***
DESTIN_GRID994  -2.1202743  0.0481761   -44.011  < 2e-16 ***
DESTIN_GRID995  -1.4560917  0.0475226   -30.640  < 2e-16 ***
DESTIN_GRID996  -2.0785047  0.0480822   -43.228  < 2e-16 ***
DESTIN_GRID997  -1.9472184  0.0487065   -39.979  < 2e-16 ***
DESTIN_GRID998  -1.4813055  0.0472546   -31.347  < 2e-16 ***
DESTIN_GRID999  -2.5665440  0.0479005   -53.581  < 2e-16 ***
DESTIN_GRID1001 -1.6174999  0.0493885   -32.751  < 2e-16 ***
DESTIN_GRID1003 -0.1086721  0.0470079    -2.312 0.020789 *  
DESTIN_GRID1004 -1.3390312  0.0471656   -28.390  < 2e-16 ***
DESTIN_GRID1011 -1.1603609  0.0483680   -23.990  < 2e-16 ***
DESTIN_GRID1012  0.3377407  0.0472519     7.148 8.83e-13 ***
DESTIN_GRID1013 -1.0830956  0.0474762   -22.813  < 2e-16 ***
DESTIN_GRID1014 -2.7031919  0.0494469   -54.669  < 2e-16 ***
DESTIN_GRID1015  0.0170101  0.0470587     0.361 0.717752    
DESTIN_GRID1016  0.0315555  0.0470235     0.671 0.502184    
DESTIN_GRID1018 -2.4051700  0.0484120   -49.681  < 2e-16 ***
DESTIN_GRID1019 -1.4266019  0.0472413   -30.198  < 2e-16 ***
DESTIN_GRID1023 -2.4632456  0.0486679   -50.613  < 2e-16 ***
DESTIN_GRID1024 -1.5832452  0.0473387   -33.445  < 2e-16 ***
DESTIN_GRID1025 -5.8186376  0.0798216   -72.896  < 2e-16 ***
DESTIN_GRID1033 -0.5138302  0.0473497   -10.852  < 2e-16 ***
DESTIN_GRID1034 -0.0034429  0.0470892    -0.073 0.941716    
DESTIN_GRID1035 -0.1738975  0.0471106    -3.691 0.000223 ***
DESTIN_GRID1036  0.2700991  0.0470287     5.743 9.29e-09 ***
DESTIN_GRID1037 -1.0804413  0.0472515   -22.866  < 2e-16 ***
DESTIN_GRID1043 -0.8514914  0.0481288   -17.692  < 2e-16 ***
DESTIN_GRID1045 -1.5816135  0.0472512   -33.472  < 2e-16 ***
DESTIN_GRID1046 -1.2906951  0.0472524   -27.315  < 2e-16 ***
DESTIN_GRID1053  0.3296566  0.0471117     6.997 2.61e-12 ***
DESTIN_GRID1054 -0.0458033  0.0471321    -0.972 0.331146    
DESTIN_GRID1055 -1.2370732  0.0475463   -26.018  < 2e-16 ***
DESTIN_GRID1056 -1.7854880  0.0481259   -37.100  < 2e-16 ***
DESTIN_GRID1064 -4.2269548  0.0989368   -42.724  < 2e-16 ***
DESTIN_GRID1066 -0.6552963  0.0470708   -13.922  < 2e-16 ***
DESTIN_GRID1067 -0.7880679  0.0473431   -16.646  < 2e-16 ***
DESTIN_GRID1074 -1.7961337  0.0487709   -36.828  < 2e-16 ***
DESTIN_GRID1075 -0.1844919  0.0472609    -3.904 9.47e-05 ***
DESTIN_GRID1076 -0.9492573  0.0473522   -20.047  < 2e-16 ***
DESTIN_GRID1077 -1.7860759  0.0479586   -37.242  < 2e-16 ***
DESTIN_GRID1079 -0.6592525  0.0472228   -13.960  < 2e-16 ***
DESTIN_GRID1085 -2.5163225  0.0732074   -34.372  < 2e-16 ***
DESTIN_GRID1087 -1.4425391  0.0472886   -30.505  < 2e-16 ***
DESTIN_GRID1088 -1.1403937  0.0472151   -24.153  < 2e-16 ***
DESTIN_GRID1094 -3.3079247  0.0672163   -49.213  < 2e-16 ***
DESTIN_GRID1095 -0.8902460  0.0488022   -18.242  < 2e-16 ***
DESTIN_GRID1096 -0.5998542  0.0492185   -12.188  < 2e-16 ***
DESTIN_GRID1097  0.0348956  0.0470612     0.741 0.458394    
DESTIN_GRID1098 -2.6956091  0.0516022   -52.238  < 2e-16 ***
DESTIN_GRID1099 -1.3182037  0.0474885   -27.758  < 2e-16 ***
DESTIN_GRID1105  0.5821553  0.0477308    12.197  < 2e-16 ***
DESTIN_GRID1106 -4.4844731  0.0969348   -46.263  < 2e-16 ***
DESTIN_GRID1107 -1.1914930  0.0474892   -25.090  < 2e-16 ***
DESTIN_GRID1108  1.0530648  0.0469524    22.428  < 2e-16 ***
DESTIN_GRID1109 -3.2383208  0.0513461   -63.069  < 2e-16 ***
DESTIN_GRID1116 -0.8781888  0.0476462   -18.431  < 2e-16 ***
DESTIN_GRID1117 -0.3056708  0.0473772    -6.452 1.10e-10 ***
DESTIN_GRID1118 -2.1100584  0.0500659   -42.146  < 2e-16 ***
DESTIN_GRID1119 -1.6947722  0.0479696   -35.330  < 2e-16 ***
DESTIN_GRID1120 -2.2866736  0.0497216   -45.989  < 2e-16 ***
DESTIN_GRID1129 -2.0091085  0.0475412   -42.260  < 2e-16 ***
DESTIN_GRID1130 -1.3519794  0.0472279   -28.627  < 2e-16 ***
DESTIN_GRID1131  0.1877844  0.0471892     3.979 6.91e-05 ***
DESTIN_GRID1136  0.4492636  0.0471081     9.537  < 2e-16 ***
DESTIN_GRID1138 -1.9886661  0.0497551   -39.969  < 2e-16 ***
DESTIN_GRID1139 -1.1518066  0.0473731   -24.314  < 2e-16 ***
DESTIN_GRID1141 -1.2047576  0.0474740   -25.377  < 2e-16 ***
DESTIN_GRID1148 -2.3610998  0.0552406   -42.742  < 2e-16 ***
DESTIN_GRID1149 -2.4085475  0.0487233   -49.433  < 2e-16 ***
DESTIN_GRID1150 -1.9933086  0.0473667   -42.083  < 2e-16 ***
DESTIN_GRID1151 -1.2922669  0.0473461   -27.294  < 2e-16 ***
DESTIN_GRID1158 -1.5169863  0.0479987   -31.605  < 2e-16 ***
DESTIN_GRID1159 -1.4073176  0.0476598   -29.528  < 2e-16 ***
DESTIN_GRID1160  0.0634508  0.0470548     1.348 0.177515    
DESTIN_GRID1171 -1.0422831  0.0472611   -22.054  < 2e-16 ***
DESTIN_GRID1172  0.2634488  0.0470018     5.605 2.08e-08 ***
DESTIN_GRID1173 -0.2823154  0.0471730    -5.985 2.17e-09 ***
DESTIN_GRID1174 -2.5876480  0.0626582   -41.298  < 2e-16 ***
DESTIN_GRID1178  0.6514525  0.0470124    13.857  < 2e-16 ***
DESTIN_GRID1179 -0.3653414  0.0471514    -7.748 9.32e-15 ***
DESTIN_GRID1180 -0.3827719  0.0471253    -8.122 4.57e-16 ***
DESTIN_GRID1181 -1.6045085  0.0476966   -33.640  < 2e-16 ***
DESTIN_GRID1183 -0.0954996  0.0471094    -2.027 0.042643 *  
DESTIN_GRID1190 -2.4017824  0.0549487   -43.710  < 2e-16 ***
DESTIN_GRID1192 -1.1145807  0.0472087   -23.610  < 2e-16 ***
DESTIN_GRID1193 -0.9198784  0.0472099   -19.485  < 2e-16 ***
DESTIN_GRID1194 -0.3384180  0.0472822    -7.157 8.22e-13 ***
DESTIN_GRID1200 -0.6963301  0.0473896   -14.694  < 2e-16 ***
DESTIN_GRID1201 -1.0087893  0.0474319   -21.268  < 2e-16 ***
DESTIN_GRID1203 -1.0305427  0.0474935   -21.699  < 2e-16 ***
DESTIN_GRID1204 -1.3246253  0.0476649   -27.790  < 2e-16 ***
DESTIN_GRID1211 -5.6929171  0.2814142   -20.230  < 2e-16 ***
DESTIN_GRID1214 -1.9864547  0.0476569   -41.682  < 2e-16 ***
DESTIN_GRID1215 -1.5513264  0.0481864   -32.194  < 2e-16 ***
DESTIN_GRID1216 -0.8500566  0.0479616   -17.724  < 2e-16 ***
DESTIN_GRID1220 -0.5163721  0.0472551   -10.927  < 2e-16 ***
DESTIN_GRID1221  0.0542175  0.0470565     1.152 0.249247    
DESTIN_GRID1222 -1.2440016  0.0484598   -25.671  < 2e-16 ***
DESTIN_GRID1223 -1.6715759  0.0481492   -34.717  < 2e-16 ***
DESTIN_GRID1224 -1.1057829  0.0475174   -23.271  < 2e-16 ***
DESTIN_GRID1231 -3.6441672  0.0740717   -49.198  < 2e-16 ***
DESTIN_GRID1232 -1.7803539  0.0528624   -33.679  < 2e-16 ***
DESTIN_GRID1235 -1.2029445  0.0472778   -25.444  < 2e-16 ***
DESTIN_GRID1236 -1.2337499  0.0476236   -25.906  < 2e-16 ***
DESTIN_GRID1241 -1.8772038  0.0482671   -38.892  < 2e-16 ***
DESTIN_GRID1242 -1.4256206  0.0477108   -29.880  < 2e-16 ***
DESTIN_GRID1243 -0.3193736  0.0471550    -6.773 1.26e-11 ***
DESTIN_GRID1246 -1.3813923  0.0476119   -29.014  < 2e-16 ***
DESTIN_GRID1256 -1.9017219  0.0476656   -39.897  < 2e-16 ***
DESTIN_GRID1257 -0.7574734  0.0473107   -16.011  < 2e-16 ***
DESTIN_GRID1258  0.1104446  0.0471969     2.340 0.019280 *  
DESTIN_GRID1262 -2.0717600  0.0485184   -42.701  < 2e-16 ***
DESTIN_GRID1263  0.2029782  0.0470085     4.318 1.58e-05 ***
DESTIN_GRID1264 -0.7385302  0.0474612   -15.561  < 2e-16 ***
DESTIN_GRID1265 -0.7424425  0.0474939   -15.632  < 2e-16 ***
DESTIN_GRID1266 -0.6715596  0.0473485   -14.183  < 2e-16 ***
DESTIN_GRID1267 -2.0446900  0.0495199   -41.290  < 2e-16 ***
DESTIN_GRID1272 -5.8384241  0.1200201   -48.645  < 2e-16 ***
DESTIN_GRID1273 -0.8508570  0.0474512   -17.931  < 2e-16 ***
DESTIN_GRID1277 -0.6230778  0.0471216   -13.223  < 2e-16 ***
DESTIN_GRID1278 -0.9892120  0.0473128   -20.908  < 2e-16 ***
DESTIN_GRID1283  0.6708002  0.0470061    14.270  < 2e-16 ***
DESTIN_GRID1284  0.2139806  0.0470425     4.549 5.40e-06 ***
DESTIN_GRID1285 -0.0561668  0.0470960    -1.193 0.233026    
DESTIN_GRID1286 -1.0392714  0.0478554   -21.717  < 2e-16 ***
DESTIN_GRID1289 -3.3709971  0.0598008   -56.370  < 2e-16 ***
DESTIN_GRID1293 -4.9525698  0.0874002   -56.665  < 2e-16 ***
DESTIN_GRID1294 -0.8592706  0.0476680   -18.026  < 2e-16 ***
DESTIN_GRID1295 -3.1648682  0.0518981   -60.982  < 2e-16 ***
DESTIN_GRID1298 -1.4920177  0.0474158   -31.467  < 2e-16 ***
DESTIN_GRID1299 -1.6861236  0.0477427   -35.317  < 2e-16 ***
DESTIN_GRID1304 -0.4559555  0.0472508    -9.650  < 2e-16 ***
DESTIN_GRID1305 -0.2749622  0.0470729    -5.841 5.18e-09 ***
DESTIN_GRID1307 -1.7493774  0.0506458   -34.541  < 2e-16 ***
DESTIN_GRID1308 -0.4290087  0.0471903    -9.091  < 2e-16 ***
DESTIN_GRID1310 -5.5932971  0.1947198   -28.725  < 2e-16 ***
DESTIN_GRID1316 -2.8259351  0.0494495   -57.148  < 2e-16 ***
DESTIN_GRID1317 -2.8436148  0.0486859   -58.407  < 2e-16 ***
DESTIN_GRID1318 -2.9963668  0.0494759   -60.562  < 2e-16 ***
DESTIN_GRID1319 -0.0958858  0.0470482    -2.038 0.041547 *  
DESTIN_GRID1320 -2.2294552  0.0487954   -45.690  < 2e-16 ***
DESTIN_GRID1324 -0.2190024  0.0494001    -4.433 9.28e-06 ***
DESTIN_GRID1325 -2.2654666  0.0489677   -46.265  < 2e-16 ***
DESTIN_GRID1326 -0.6564395  0.0472061   -13.906  < 2e-16 ***
DESTIN_GRID1327 -0.4902459  0.0471704   -10.393  < 2e-16 ***
DESTIN_GRID1328 -0.6628677  0.0473096   -14.011  < 2e-16 ***
DESTIN_GRID1329 -0.8206190  0.0476513   -17.221  < 2e-16 ***
DESTIN_GRID1330  0.3992211  0.0471579     8.466  < 2e-16 ***
DESTIN_GRID1331 -5.7234133  0.2624313   -21.809  < 2e-16 ***
DESTIN_GRID1333 -2.2530397  0.0494707   -45.543  < 2e-16 ***
DESTIN_GRID1334 -1.8462503  0.0486048   -37.985  < 2e-16 ***
DESTIN_GRID1335 -0.1932486  0.0472183    -4.093 4.26e-05 ***
DESTIN_GRID1336 -4.0264358  0.0729290   -55.210  < 2e-16 ***
DESTIN_GRID1337 -3.6752584  0.0553062   -66.453  < 2e-16 ***
DESTIN_GRID1338 -4.1306909  0.0539049   -76.629  < 2e-16 ***
DESTIN_GRID1339 -0.3990440  0.0470606    -8.479  < 2e-16 ***
DESTIN_GRID1340 -1.8103194  0.0477875   -37.883  < 2e-16 ***
DESTIN_GRID1341 -5.7583355  0.1070926   -53.770  < 2e-16 ***
DESTIN_GRID1346 -0.6777093  0.0474188   -14.292  < 2e-16 ***
DESTIN_GRID1347  0.5744240  0.0470279    12.215  < 2e-16 ***
DESTIN_GRID1348 -0.8404601  0.0473370   -17.755  < 2e-16 ***
DESTIN_GRID1349  0.0684541  0.0471661     1.451 0.146685    
DESTIN_GRID1350 -1.5690027  0.0485251   -32.334  < 2e-16 ***
DESTIN_GRID1353 -0.7440673  0.0472887   -15.735  < 2e-16 ***
DESTIN_GRID1354 -2.0851081  0.0483438   -43.131  < 2e-16 ***
DESTIN_GRID1355 -1.9306915  0.0481500   -40.097  < 2e-16 ***
DESTIN_GRID1357 -2.5248942  0.0504377   -50.060  < 2e-16 ***
DESTIN_GRID1358 -0.4203337  0.0470577    -8.932  < 2e-16 ***
DESTIN_GRID1359 -1.8267462  0.0473672   -38.566  < 2e-16 ***
DESTIN_GRID1360 -1.9942923  0.0474814   -42.002  < 2e-16 ***
DESTIN_GRID1361 -1.6631449  0.0477251   -34.848  < 2e-16 ***
DESTIN_GRID1362 -3.1987598  0.0551834   -57.966  < 2e-16 ***
DESTIN_GRID1368 -1.5249890  0.0477148   -31.961  < 2e-16 ***
DESTIN_GRID1369 -1.4338236  0.0476562   -30.087  < 2e-16 ***
DESTIN_GRID1370  0.2763387  0.0470205     5.877 4.18e-09 ***
DESTIN_GRID1371 -0.8450249  0.0474954   -17.792  < 2e-16 ***
DESTIN_GRID1372 -0.7913361  0.0473908   -16.698  < 2e-16 ***
DESTIN_GRID1373 -3.6649247  0.0570220   -64.272  < 2e-16 ***
DESTIN_GRID1374 -2.4724790  0.0490180   -50.440  < 2e-16 ***
DESTIN_GRID1375 -0.6235513  0.0474480   -13.142  < 2e-16 ***
DESTIN_GRID1376 -2.4102064  0.0498464   -48.353  < 2e-16 ***
DESTIN_GRID1379 -5.0739194  0.0786627   -64.502  < 2e-16 ***
DESTIN_GRID1380  0.2346607  0.0469857     4.994 5.91e-07 ***
DESTIN_GRID1381  0.4073236  0.0469745     8.671  < 2e-16 ***
DESTIN_GRID1382 -0.3826999  0.0471285    -8.120 4.65e-16 ***
DESTIN_GRID1383 -3.2455261  0.0508510   -63.824  < 2e-16 ***
DESTIN_GRID1388 -0.7508984  0.0473046   -15.874  < 2e-16 ***
DESTIN_GRID1389 -1.0565867  0.0474292   -22.277  < 2e-16 ***
DESTIN_GRID1390 -0.7603969  0.0473729   -16.051  < 2e-16 ***
DESTIN_GRID1391 -0.0689145  0.0471391    -1.462 0.143758    
DESTIN_GRID1392 -0.8281017  0.0484974   -17.075  < 2e-16 ***
DESTIN_GRID1393 -1.3869376  0.0476514   -29.106  < 2e-16 ***
DESTIN_GRID1394 -0.9457943  0.0472774   -20.005  < 2e-16 ***
DESTIN_GRID1395 -1.3343828  0.0474111   -28.145  < 2e-16 ***
DESTIN_GRID1396 -0.6917383  0.0471847   -14.660  < 2e-16 ***
DESTIN_GRID1397 -1.5816678  0.0475028   -33.296  < 2e-16 ***
DESTIN_GRID1398 -1.9690846  0.0488983   -40.269  < 2e-16 ***
DESTIN_GRID1400 -2.5575749  0.0482096   -53.051  < 2e-16 ***
DESTIN_GRID1401 -0.7272641  0.0470315   -15.463  < 2e-16 ***
DESTIN_GRID1402 -1.4780886  0.0472266   -31.298  < 2e-16 ***
DESTIN_GRID1404 -1.9055369  0.0517930   -36.791  < 2e-16 ***
DESTIN_GRID1410  0.2354557  0.0470395     5.005 5.57e-07 ***
DESTIN_GRID1411 -0.6223477  0.0473786   -13.136  < 2e-16 ***
DESTIN_GRID1412  0.0116911  0.0470592     0.248 0.803799    
DESTIN_GRID1413 -0.4425013  0.0471901    -9.377  < 2e-16 ***
DESTIN_GRID1414 -0.8951163  0.0472418   -18.948  < 2e-16 ***
DESTIN_GRID1415 -0.6240459  0.0471937   -13.223  < 2e-16 ***
DESTIN_GRID1416 -1.0963153  0.0473716   -23.143  < 2e-16 ***
DESTIN_GRID1417 -1.1222074  0.0472317   -23.760  < 2e-16 ***
DESTIN_GRID1418 -1.0730338  0.0472300   -22.719  < 2e-16 ***
DESTIN_GRID1419 -1.5023846  0.0475250   -31.613  < 2e-16 ***
DESTIN_GRID1422 -1.9030835  0.0473197   -40.218  < 2e-16 ***
DESTIN_GRID1423 -1.3571791  0.0472038   -28.752  < 2e-16 ***
DESTIN_GRID1430 -0.0241488  0.0471356    -0.512 0.608423    
DESTIN_GRID1431  0.3879061  0.0470211     8.250  < 2e-16 ***
DESTIN_GRID1432 -0.0502306  0.0470597    -1.067 0.285800    
DESTIN_GRID1433 -0.9568620  0.0477766   -20.028  < 2e-16 ***
DESTIN_GRID1434  0.0553824  0.0470612     1.177 0.239269    
DESTIN_GRID1435 -0.5331680  0.0471176   -11.316  < 2e-16 ***
DESTIN_GRID1436 -1.8910569  0.0480601   -39.348  < 2e-16 ***
DESTIN_GRID1437 -1.2127978  0.0473109   -25.635  < 2e-16 ***
DESTIN_GRID1438 -0.6967318  0.0470804   -14.799  < 2e-16 ***
DESTIN_GRID1439  0.0961102  0.0470206     2.044 0.040954 *  
DESTIN_GRID1440 -0.5633119  0.0472893   -11.912  < 2e-16 ***
DESTIN_GRID1442 -3.5234971  0.0497319   -70.850  < 2e-16 ***
DESTIN_GRID1443 -1.7557890  0.0472814   -37.135  < 2e-16 ***
DESTIN_GRID1444 -0.7453720  0.0472970   -15.759  < 2e-16 ***
DESTIN_GRID1452  0.6136525  0.0469926    13.059  < 2e-16 ***
DESTIN_GRID1453 -0.1885465  0.0471447    -3.999 6.35e-05 ***
DESTIN_GRID1454 -1.2710951  0.0481874   -26.378  < 2e-16 ***
DESTIN_GRID1455 -0.7530783  0.0474016   -15.887  < 2e-16 ***
DESTIN_GRID1456 -0.7301347  0.0472336   -15.458  < 2e-16 ***
DESTIN_GRID1457 -0.1370394  0.0470984    -2.910 0.003618 ** 
DESTIN_GRID1458  0.7612363  0.0469584    16.211  < 2e-16 ***
DESTIN_GRID1459 -1.9865016  0.0475778   -41.753  < 2e-16 ***
DESTIN_GRID1460 -0.8000967  0.0470925   -16.990  < 2e-16 ***
DESTIN_GRID1461 -0.9517988  0.0473490   -20.102  < 2e-16 ***
DESTIN_GRID1464 -1.9002336  0.0474434   -40.053  < 2e-16 ***
DESTIN_GRID1465 -2.6357174  0.0480707   -54.830  < 2e-16 ***
DESTIN_GRID1472 -0.4477217  0.0474086    -9.444  < 2e-16 ***
DESTIN_GRID1473  0.4586560  0.0470242     9.754  < 2e-16 ***
DESTIN_GRID1474  0.2495466  0.0470054     5.309 1.10e-07 ***
DESTIN_GRID1475 -0.0353052  0.0470643    -0.750 0.453166    
DESTIN_GRID1476 -1.0976995  0.0474126   -23.152  < 2e-16 ***
DESTIN_GRID1477  0.6987293  0.0469491    14.883  < 2e-16 ***
DESTIN_GRID1478 -0.9875360  0.0471657   -20.938  < 2e-16 ***
DESTIN_GRID1479 -1.8421223  0.0474672   -38.808  < 2e-16 ***
DESTIN_GRID1480  0.5121830  0.0469585    10.907  < 2e-16 ***
DESTIN_GRID1481 -0.9687527  0.0472549   -20.501  < 2e-16 ***
DESTIN_GRID1482  0.0182060  0.0471389     0.386 0.699333    
DESTIN_GRID1485 -3.1102414  0.0485358   -64.081  < 2e-16 ***
DESTIN_GRID1494  0.2471030  0.0470713     5.250 1.52e-07 ***
DESTIN_GRID1495 -0.6544002  0.0472469   -13.851  < 2e-16 ***
DESTIN_GRID1496  0.2221726  0.0470124     4.726 2.29e-06 ***
DESTIN_GRID1497 -1.0990464  0.0474329   -23.171  < 2e-16 ***
DESTIN_GRID1498 -0.9413234  0.0472790   -19.910  < 2e-16 ***
DESTIN_GRID1499 -0.7600028  0.0470958   -16.137  < 2e-16 ***
DESTIN_GRID1500 -1.1446769  0.0476317   -24.032  < 2e-16 ***
DESTIN_GRID1501 -0.5116873  0.0470541   -10.874  < 2e-16 ***
DESTIN_GRID1502 -0.6111282  0.0470872   -12.979  < 2e-16 ***
DESTIN_GRID1506 -4.9524290  0.0785298   -63.064  < 2e-16 ***
DESTIN_GRID1515 -0.6822902  0.0488391   -13.970  < 2e-16 ***
DESTIN_GRID1516  0.3241700  0.0470075     6.896 5.34e-12 ***
DESTIN_GRID1517 -0.6800661  0.0473197   -14.372  < 2e-16 ***
DESTIN_GRID1518 -1.4315326  0.0475252   -30.122  < 2e-16 ***
DESTIN_GRID1519 -1.3413001  0.0475621   -28.201  < 2e-16 ***
DESTIN_GRID1520 -1.0007179  0.0471805   -21.210  < 2e-16 ***
DESTIN_GRID1521 -1.5717425  0.0474631   -33.115  < 2e-16 ***
DESTIN_GRID1522 -0.7969552  0.0471345   -16.908  < 2e-16 ***
DESTIN_GRID1523  0.4714630  0.0470967    10.011  < 2e-16 ***
DESTIN_GRID1524 -1.8560094  0.0482748   -38.447  < 2e-16 ***
DESTIN_GRID1527 -4.1464897  0.0549131   -75.510  < 2e-16 ***
DESTIN_GRID1535 -0.9902274  0.0712618   -13.896  < 2e-16 ***
DESTIN_GRID1536 -1.8728402  0.0516266   -36.277  < 2e-16 ***
DESTIN_GRID1537 -0.2102179  0.0472342    -4.451 8.57e-06 ***
DESTIN_GRID1538 -0.4584305  0.0471503    -9.723  < 2e-16 ***
DESTIN_GRID1539 -0.4794791  0.0470968   -10.181  < 2e-16 ***
DESTIN_GRID1540 -1.2928444  0.0472706   -27.350  < 2e-16 ***
DESTIN_GRID1541 -0.2959686  0.0473478    -6.251 4.08e-10 ***
DESTIN_GRID1542 -1.5318958  0.0478355   -32.024  < 2e-16 ***
DESTIN_GRID1543 -1.7072309  0.0534926   -31.915  < 2e-16 ***
DESTIN_GRID1544 -1.4901166  0.0477302   -31.220  < 2e-16 ***
DESTIN_GRID1547 -2.2831104  0.0491687   -46.434  < 2e-16 ***
DESTIN_GRID1556 -1.3749512  0.0762776   -18.026  < 2e-16 ***
DESTIN_GRID1557 -1.3854865  0.0494394   -28.024  < 2e-16 ***
DESTIN_GRID1558 -0.5027838  0.0484720   -10.373  < 2e-16 ***
DESTIN_GRID1559  0.0579562  0.0470376     1.232 0.217903    
DESTIN_GRID1560 -0.0184034  0.0470328    -0.391 0.695585    
DESTIN_GRID1561 -0.8277778  0.0473094   -17.497  < 2e-16 ***
DESTIN_GRID1562 -3.0347554  0.0497569   -60.992  < 2e-16 ***
DESTIN_GRID1563 -2.0396960  0.0477488   -42.717  < 2e-16 ***
DESTIN_GRID1564 -1.7250553  0.0475848   -36.252  < 2e-16 ***
DESTIN_GRID1565 -1.0993243  0.0472897   -23.247  < 2e-16 ***
DESTIN_GRID1566 -2.8956399  0.0496353   -58.338  < 2e-16 ***
DESTIN_GRID1567 -2.7387505  0.0499901   -54.786  < 2e-16 ***
DESTIN_GRID1568 -1.8896088  0.0484191   -39.026  < 2e-16 ***
DESTIN_GRID1578 -2.2378361  0.1114716   -20.075  < 2e-16 ***
DESTIN_GRID1580 -2.7179880  0.0525100   -51.761  < 2e-16 ***
DESTIN_GRID1581 -0.4181473  0.0471124    -8.876  < 2e-16 ***
DESTIN_GRID1582 -0.2893953  0.0470442    -6.152 7.67e-10 ***
DESTIN_GRID1583 -2.1990924  0.0509539   -43.158  < 2e-16 ***
DESTIN_GRID1584 -2.0248790  0.0483906   -41.844  < 2e-16 ***
DESTIN_GRID1585 -1.3747537  0.0474851   -28.951  < 2e-16 ***
DESTIN_GRID1586 -0.7608239  0.0471641   -16.131  < 2e-16 ***
DESTIN_GRID1589 -2.3846155  0.0486131   -49.053  < 2e-16 ***
DESTIN_GRID1590 -1.8799534  0.0486891   -38.611  < 2e-16 ***
DESTIN_GRID1600 -0.9643421  0.0490470   -19.662  < 2e-16 ***
DESTIN_GRID1601 -1.3710377  0.0474108   -28.918  < 2e-16 ***
DESTIN_GRID1602 -1.0040927  0.0473315   -21.214  < 2e-16 ***
DESTIN_GRID1603  0.0383244  0.0470463     0.815 0.415295    
DESTIN_GRID1604 -2.2008741  0.0479769   -45.874  < 2e-16 ***
DESTIN_GRID1605 -1.1638294  0.0472228   -24.646  < 2e-16 ***
DESTIN_GRID1606 -1.9276351  0.0487326   -39.555  < 2e-16 ***
DESTIN_GRID1607 -0.6570359  0.0470803   -13.956  < 2e-16 ***
DESTIN_GRID1608 -1.3448647  0.0472975   -28.434  < 2e-16 ***
DESTIN_GRID1609 -0.6674847  0.0471626   -14.153  < 2e-16 ***
DESTIN_GRID1610 -2.7707407  0.0534170   -51.870  < 2e-16 ***
DESTIN_GRID1622 -0.7739996  0.0482804   -16.031  < 2e-16 ***
DESTIN_GRID1623 -0.3788826  0.0470706    -8.049 8.33e-16 ***
DESTIN_GRID1624  0.1954600  0.0470356     4.156 3.24e-05 ***
DESTIN_GRID1625 -0.7503804  0.0472137   -15.893  < 2e-16 ***
DESTIN_GRID1626  0.9820763  0.0469430    20.921  < 2e-16 ***
DESTIN_GRID1627 -2.1791582  0.0476895   -45.695  < 2e-16 ***
DESTIN_GRID1628 -0.0809824  0.0470209    -1.722 0.085022 .  
DESTIN_GRID1629 -3.0636663  0.0489304   -62.613  < 2e-16 ***
DESTIN_GRID1630 -2.7175936  0.0482346   -56.341  < 2e-16 ***
DESTIN_GRID1631 -3.1756920  0.0504862   -62.902  < 2e-16 ***
DESTIN_GRID1642 -3.2333328  0.0567112   -57.014  < 2e-16 ***
DESTIN_GRID1643 -0.8740626  0.0472357   -18.504  < 2e-16 ***
DESTIN_GRID1644 -0.9779070  0.0475518   -20.565  < 2e-16 ***
DESTIN_GRID1645 -1.0138580  0.0472872   -21.440  < 2e-16 ***
DESTIN_GRID1646 -0.8187776  0.0475062   -17.235  < 2e-16 ***
DESTIN_GRID1647 -1.4541204  0.0472632   -30.766  < 2e-16 ***
DESTIN_GRID1648 -1.4485006  0.0472325   -30.667  < 2e-16 ***
DESTIN_GRID1649 -0.8264277  0.0470713   -17.557  < 2e-16 ***
DESTIN_GRID1650 -1.7481980  0.0474734   -36.825  < 2e-16 ***
DESTIN_GRID1664 -5.2784812  0.1254180   -42.087  < 2e-16 ***
DESTIN_GRID1665 -0.2394312  0.0470536    -5.088 3.61e-07 ***
DESTIN_GRID1666 -0.2326347  0.0470530    -4.944 7.65e-07 ***
DESTIN_GRID1667 -1.2923682  0.0494587   -26.130  < 2e-16 ***
DESTIN_GRID1668 -1.4559800  0.0473551   -30.746  < 2e-16 ***
DESTIN_GRID1670 -1.0675168  0.0471061   -22.662  < 2e-16 ***
DESTIN_GRID1671 -1.4078379  0.0480322   -29.310  < 2e-16 ***
DESTIN_GRID1672 -2.4466771  0.0483030   -50.653  < 2e-16 ***
DESTIN_GRID1684 -0.7352538  0.0478193   -15.376  < 2e-16 ***
DESTIN_GRID1685 -1.6663585  0.0476642   -34.960  < 2e-16 ***
DESTIN_GRID1686 -0.9038799  0.0472231   -19.141  < 2e-16 ***
DESTIN_GRID1687 -0.6569750  0.0473578   -13.873  < 2e-16 ***
DESTIN_GRID1688 -1.3806484  0.0473497   -29.159  < 2e-16 ***
DESTIN_GRID1689 -2.1663382  0.0478559   -45.268  < 2e-16 ***
DESTIN_GRID1690 -2.8361524  0.0485216   -58.451  < 2e-16 ***
DESTIN_GRID1691 -1.0062312  0.0471013   -21.363  < 2e-16 ***
DESTIN_GRID1692 -2.8606782  0.0487942   -58.627  < 2e-16 ***
DESTIN_GRID1706 -1.0119326  0.0474943   -21.306  < 2e-16 ***
DESTIN_GRID1707 -1.7357315  0.0475555   -36.499  < 2e-16 ***
DESTIN_GRID1708 -1.1129040  0.0472800   -23.539  < 2e-16 ***
DESTIN_GRID1709 -0.4530050  0.0471057    -9.617  < 2e-16 ***
DESTIN_GRID1710 -0.6834081  0.0471515   -14.494  < 2e-16 ***
DESTIN_GRID1711 -0.0684226  0.0470143    -1.455 0.145571    
DESTIN_GRID1712 -0.9927824  0.0470835   -21.086  < 2e-16 ***
DESTIN_GRID1713 -3.3655596  0.0492615   -68.320  < 2e-16 ***
DESTIN_GRID1714 -2.0093927  0.0475865   -42.226  < 2e-16 ***
DESTIN_GRID1727 -0.4961362  0.0471901   -10.514  < 2e-16 ***
DESTIN_GRID1728 -0.4573898  0.0470921    -9.713  < 2e-16 ***
DESTIN_GRID1729 -0.3339472  0.0470688    -7.095 1.29e-12 ***
DESTIN_GRID1730 -1.5525620  0.0476655   -32.572  < 2e-16 ***
DESTIN_GRID1731 -0.8875155  0.0471616   -18.819  < 2e-16 ***
DESTIN_GRID1732 -1.1022466  0.0471084   -23.398  < 2e-16 ***
DESTIN_GRID1733 -2.3142035  0.0475590   -48.660  < 2e-16 ***
DESTIN_GRID1734 -1.1746339  0.0471327   -24.922  < 2e-16 ***
DESTIN_GRID1735 -1.8642245  0.0489479   -38.086  < 2e-16 ***
DESTIN_GRID1748 -1.4809393  0.0476861   -31.056  < 2e-16 ***
DESTIN_GRID1749 -0.2617772  0.0470458    -5.564 2.63e-08 ***
DESTIN_GRID1750 -0.3766919  0.0470708    -8.003 1.22e-15 ***
DESTIN_GRID1751 -0.8401918  0.0472771   -17.772  < 2e-16 ***
DESTIN_GRID1753 -0.6894860  0.0470965   -14.640  < 2e-16 ***
DESTIN_GRID1754  0.2480086  0.0469623     5.281 1.28e-07 ***
DESTIN_GRID1755 -0.5905948  0.0470207   -12.560  < 2e-16 ***
DESTIN_GRID1756 -1.6134973  0.0472124   -34.175  < 2e-16 ***
DESTIN_GRID1757 -3.9557249  0.0518443   -76.300  < 2e-16 ***
DESTIN_GRID1769 -1.0053328  0.0473132   -21.248  < 2e-16 ***
DESTIN_GRID1770 -1.2214237  0.0473523   -25.794  < 2e-16 ***
DESTIN_GRID1771 -0.2315484  0.0471367    -4.912 9.00e-07 ***
DESTIN_GRID1772  0.7376283  0.0474021    15.561  < 2e-16 ***
DESTIN_GRID1774 -1.8400121  0.0473865   -38.830  < 2e-16 ***
DESTIN_GRID1775 -2.2929002  0.0475425   -48.228  < 2e-16 ***
DESTIN_GRID1776  0.0191815  0.0469727     0.408 0.683014    
DESTIN_GRID1777 -2.1100629  0.0474437   -44.475  < 2e-16 ***
DESTIN_GRID1778 -3.0453460  0.0513673   -59.286  < 2e-16 ***
DESTIN_GRID1790 -0.1732899  0.0471405    -3.676 0.000237 ***
DESTIN_GRID1791 -0.7774622  0.0472337   -16.460  < 2e-16 ***
DESTIN_GRID1792 -0.6790786  0.0474006   -14.326  < 2e-16 ***
DESTIN_GRID1793 -0.6672876  0.0472163   -14.133  < 2e-16 ***
DESTIN_GRID1794  1.0339902  0.0474560    21.788  < 2e-16 ***
DESTIN_GRID1795 -3.2816277  0.0515487   -63.661  < 2e-16 ***
DESTIN_GRID1796 -1.2109425  0.0471954   -25.658  < 2e-16 ***
DESTIN_GRID1797 -1.5678209  0.0472034   -33.214  < 2e-16 ***
DESTIN_GRID1798 -1.5001151  0.0471759   -31.798  < 2e-16 ***
DESTIN_GRID1799 -2.4821556  0.0478003   -51.928  < 2e-16 ***
DESTIN_GRID1800 -4.1427814  0.0691604   -59.901  < 2e-16 ***
DESTIN_GRID1811 -1.2120051  0.0474715   -25.531  < 2e-16 ***
DESTIN_GRID1812  0.1539901  0.0469999     3.276 0.001051 ** 
DESTIN_GRID1813  0.2945678  0.0469957     6.268 3.66e-10 ***
DESTIN_GRID1817 -2.7685330  0.0483461   -57.265  < 2e-16 ***
DESTIN_GRID1818 -2.0124387  0.0472843   -42.560  < 2e-16 ***
DESTIN_GRID1819 -0.1659835  0.0469882    -3.532 0.000412 ***
DESTIN_GRID1820 -4.9037390  0.0626650   -78.253  < 2e-16 ***
DESTIN_GRID1832  0.0892067  0.0470686     1.895 0.058059 .  
DESTIN_GRID1833 -1.2975163  0.0473799   -27.385  < 2e-16 ***
DESTIN_GRID1834 -1.3879721  0.0473536   -29.311  < 2e-16 ***
DESTIN_GRID1835 -1.2805532  0.0474640   -26.979  < 2e-16 ***
DESTIN_GRID1837 -1.4441261  0.0488500   -29.562  < 2e-16 ***
DESTIN_GRID1839 -2.8140159  0.0482645   -58.304  < 2e-16 ***
DESTIN_GRID1840 -0.1384907  0.0470003    -2.947 0.003213 ** 
DESTIN_GRID1841 -3.6702975  0.0519832   -70.605  < 2e-16 ***
DESTIN_GRID1842 -1.3264006  0.0495954   -26.744  < 2e-16 ***
DESTIN_GRID1853 -0.9294364  0.0472400   -19.675  < 2e-16 ***
DESTIN_GRID1854 -0.6643583  0.0471582   -14.088  < 2e-16 ***
DESTIN_GRID1855 -0.2980025  0.0471007    -6.327 2.50e-10 ***
DESTIN_GRID1858 -0.3857548  0.0476505    -8.095 5.70e-16 ***
DESTIN_GRID1860 -2.1104219  0.0502169   -42.026  < 2e-16 ***
DESTIN_GRID1861 -1.8266680  0.0473231   -38.600  < 2e-16 ***
DESTIN_GRID1874 -1.2590897  0.0477964   -26.343  < 2e-16 ***
DESTIN_GRID1875 -2.9283451  0.0508355   -57.604  < 2e-16 ***
DESTIN_GRID1876 -1.7065212  0.0516868   -33.017  < 2e-16 ***
DESTIN_GRID1877 -0.5024230  0.0471359   -10.659  < 2e-16 ***
DESTIN_GRID1880 -1.2901318  0.0489469   -26.358  < 2e-16 ***
DESTIN_GRID1882 -1.7384078  0.0473164   -36.740  < 2e-16 ***
DESTIN_GRID1883 -2.6763800  0.0506952   -52.794  < 2e-16 ***
DESTIN_GRID1895 -0.6319325  0.0472011   -13.388  < 2e-16 ***
DESTIN_GRID1896 -1.6042990  0.0475331   -33.751  < 2e-16 ***
DESTIN_GRID1897 -2.2729087  0.0483071   -47.051  < 2e-16 ***
DESTIN_GRID1898 -2.7004198  0.0525930   -51.346  < 2e-16 ***
DESTIN_GRID1901 -1.8005861  0.0513348   -35.075  < 2e-16 ***
DESTIN_GRID1903 -3.1874090  0.0499262   -63.842  < 2e-16 ***
DESTIN_GRID1917 -1.6323741  0.0476911   -34.228  < 2e-16 ***
DESTIN_GRID1918 -0.4431152  0.0472983    -9.369  < 2e-16 ***
DESTIN_GRID1919 -0.3659913  0.0471089    -7.769 7.91e-15 ***
DESTIN_GRID1922 -0.5195803  0.0479853   -10.828  < 2e-16 ***
DESTIN_GRID1924 -3.1375350  0.0504717   -62.164  < 2e-16 ***
DESTIN_GRID1937 -1.1163476  0.0474941   -23.505  < 2e-16 ***
DESTIN_GRID1938 -0.2983982  0.0470964    -6.336 2.36e-10 ***
DESTIN_GRID1939 -1.4009296  0.0475731   -29.448  < 2e-16 ***
DESTIN_GRID1942 -2.0737554  0.0509676   -40.688  < 2e-16 ***
DESTIN_GRID1959 -1.4748204  0.0477709   -30.873  < 2e-16 ***
DESTIN_GRID1960  0.8785411  0.0469513    18.712  < 2e-16 ***
DESTIN_GRID1961 -1.8038438  0.0479343   -37.632  < 2e-16 ***
DESTIN_GRID1962 -0.9673674  0.0472893   -20.456  < 2e-16 ***
DESTIN_GRID1964 -0.3210994  0.0482457    -6.656 2.82e-11 ***
DESTIN_GRID1979 -1.1415005  0.0476402   -23.961  < 2e-16 ***
DESTIN_GRID1980 -1.3258149  0.0473518   -27.999  < 2e-16 ***
DESTIN_GRID1981 -1.4268640  0.0474431   -30.075  < 2e-16 ***
DESTIN_GRID1982 -0.7466108  0.0474226   -15.744  < 2e-16 ***
DESTIN_GRID1983 -1.0578714  0.0472902   -22.370  < 2e-16 ***
DESTIN_GRID1984 -0.9460383  0.0473021   -20.000  < 2e-16 ***
DESTIN_GRID1985 -0.7360781  0.0472281   -15.586  < 2e-16 ***
DESTIN_GRID2001 -1.0467227  0.0473437   -22.109  < 2e-16 ***
DESTIN_GRID2002 -0.8880046  0.0471459   -18.835  < 2e-16 ***
DESTIN_GRID2003 -0.3564533  0.0470854    -7.570 3.72e-14 ***
DESTIN_GRID2004 -0.1797321  0.0470762    -3.818 0.000135 ***
DESTIN_GRID2005 -1.1509869  0.0473070   -24.330  < 2e-16 ***
DESTIN_GRID2006 -0.2543440  0.0471113    -5.399 6.71e-08 ***
DESTIN_GRID2007 -3.5710725  0.0546408   -65.355  < 2e-16 ***
DESTIN_GRID2022 -0.4797057  0.0473197   -10.138  < 2e-16 ***
DESTIN_GRID2023 -0.5319912  0.0471223   -11.290  < 2e-16 ***
DESTIN_GRID2024 -0.2113815  0.0470491    -4.493 7.03e-06 ***
DESTIN_GRID2025 -1.5054817  0.0473330   -31.806  < 2e-16 ***
DESTIN_GRID2026 -2.1379394  0.0482211   -44.336  < 2e-16 ***
DESTIN_GRID2027 -0.2561374  0.0470975    -5.438 5.37e-08 ***
DESTIN_GRID2043 -1.8514777  0.0481171   -38.479  < 2e-16 ***
DESTIN_GRID2044 -1.1338928  0.0472900   -23.977  < 2e-16 ***
DESTIN_GRID2045 -1.6839629  0.0483974   -34.794  < 2e-16 ***
DESTIN_GRID2046 -0.2096712  0.0470241    -4.459 8.24e-06 ***
DESTIN_GRID2047 -2.0525071  0.0477445   -42.989  < 2e-16 ***
DESTIN_GRID2048 -1.7869396  0.0476176   -37.527  < 2e-16 ***
DESTIN_GRID2049 -3.6388517  0.0542359   -67.093  < 2e-16 ***
DESTIN_GRID2064 -1.1980076  0.0474435   -25.251  < 2e-16 ***
DESTIN_GRID2065 -1.4771599  0.0475118   -31.090  < 2e-16 ***
DESTIN_GRID2066 -3.3852801  0.0563524   -60.073  < 2e-16 ***
DESTIN_GRID2067  1.3142264  0.0469417    27.997  < 2e-16 ***
DESTIN_GRID2068 -2.0089010  0.0485187   -41.405  < 2e-16 ***
DESTIN_GRID2069 -1.5590417  0.0475913   -32.759  < 2e-16 ***
DESTIN_GRID2085 -1.1463989  0.0475335   -24.118  < 2e-16 ***
DESTIN_GRID2086  0.3477964  0.0470352     7.394 1.42e-13 ***
DESTIN_GRID2087  0.0631121  0.0470568     1.341 0.179859    
DESTIN_GRID2088 -1.1797639  0.0472282   -24.980  < 2e-16 ***
DESTIN_GRID2089 -1.7493066  0.0477491   -36.635  < 2e-16 ***
DESTIN_GRID2090  0.9578003  0.0469625    20.395  < 2e-16 ***
DESTIN_GRID2091 -4.1072268  0.0775250   -52.979  < 2e-16 ***
DESTIN_GRID2105 -1.1800874  0.0889629   -13.265  < 2e-16 ***
DESTIN_GRID2106 -2.5815644  0.0492654   -52.401  < 2e-16 ***
DESTIN_GRID2107  0.2420476  0.0470377     5.146 2.66e-07 ***
DESTIN_GRID2108 -0.1429564  0.0471176    -3.034 0.002413 ** 
DESTIN_GRID2109 -1.4875364  0.0473261   -31.432  < 2e-16 ***
DESTIN_GRID2110 -2.3501164  0.0483588   -48.597  < 2e-16 ***
DESTIN_GRID2111 -3.4046906  0.0572797   -59.440  < 2e-16 ***
DESTIN_GRID2128 -1.0307811  0.0477829   -21.572  < 2e-16 ***
DESTIN_GRID2129 -0.9694673  0.0479081   -20.236  < 2e-16 ***
DESTIN_GRID2130 -0.9703324  0.0471950   -20.560  < 2e-16 ***
DESTIN_GRID2131 -1.0599655  0.0474479   -22.340  < 2e-16 ***
DESTIN_GRID2132 -1.4764456  0.0474588   -31.110  < 2e-16 ***
DESTIN_GRID2148 -1.4739792  0.0489647   -30.103  < 2e-16 ***
DESTIN_GRID2149 -1.6152246  0.0481023   -33.579  < 2e-16 ***
DESTIN_GRID2150 -1.2105629  0.0475512   -25.458  < 2e-16 ***
DESTIN_GRID2151  0.3738146  0.0469937     7.955 1.80e-15 ***
DESTIN_GRID2152 -0.6020184  0.0471721   -12.762  < 2e-16 ***
DESTIN_GRID2153 -1.8603447  0.0482125   -38.586  < 2e-16 ***
DESTIN_GRID2171 -0.3363000  0.0471953    -7.126 1.04e-12 ***
DESTIN_GRID2172 -2.0782590  0.0482215   -43.098  < 2e-16 ***
DESTIN_GRID2173 -1.6410996  0.0474651   -34.575  < 2e-16 ***
DESTIN_GRID2174 -1.0758515  0.0473905   -22.702  < 2e-16 ***
DESTIN_GRID2191 -0.0977668  0.0474750    -2.059 0.039463 *  
DESTIN_GRID2192 -1.4377381  0.0480790   -29.904  < 2e-16 ***
DESTIN_GRID2193 -0.7517222  0.0472890   -15.896  < 2e-16 ***
DESTIN_GRID2194 -0.9140737  0.0472521   -19.345  < 2e-16 ***
DESTIN_GRID2195 -2.6615132  0.0579196   -45.952  < 2e-16 ***
DESTIN_GRID2212 -0.1543573  0.0488295    -3.161 0.001571 ** 
DESTIN_GRID2213 -0.4336015  0.0475971    -9.110  < 2e-16 ***
DESTIN_GRID2214  0.2905493  0.0474501     6.123 9.17e-10 ***
DESTIN_GRID2215 -1.3819980  0.0478017   -28.911  < 2e-16 ***
DESTIN_GRID2216 -0.5338687  0.0472676   -11.295  < 2e-16 ***
DESTIN_GRID2233  0.2523952  0.0479291     5.266 1.39e-07 ***
DESTIN_GRID2234  0.8055702  0.0476271    16.914  < 2e-16 ***
DESTIN_GRID2235 -0.6064720  0.0477814   -12.693  < 2e-16 ***
DESTIN_GRID2236 -2.0082918  0.0487909   -41.161  < 2e-16 ***
DESTIN_GRID2237 -0.5568442  0.0483365   -11.520  < 2e-16 ***
DESTIN_GRID2256 -0.5121638  0.0486206   -10.534  < 2e-16 ***
DESTIN_GRID2257 -2.7505327  0.0536122   -51.304  < 2e-16 ***
DESTIN_GRID2258 -0.8108873  0.0474742   -17.081  < 2e-16 ***
DESTIN_GRID2259  0.2985256  0.0480105     6.218 5.04e-10 ***
DESTIN_GRID2277 -1.5264782  0.0530036   -28.800  < 2e-16 ***
DESTIN_GRID2278 -1.2486662  0.0494557   -25.248  < 2e-16 ***
DESTIN_GRID2279 -0.5068159  0.0474640   -10.678  < 2e-16 ***
DESTIN_GRID2280 -1.8571074  0.0567373   -32.732  < 2e-16 ***
DESTIN_GRID2297 -1.4466850  0.0495527   -29.195  < 2e-16 ***
DESTIN_GRID2300 -1.4117803  0.0509032   -27.735  < 2e-16 ***
DESTIN_GRID2301 -0.8619729  0.0479115   -17.991  < 2e-16 ***
DESTIN_GRID2318  0.5759247  0.0472134    12.198  < 2e-16 ***
DESTIN_GRID2319  0.5290063  0.0471762    11.213  < 2e-16 ***
DESTIN_GRID2322 -0.4904882  0.0478186   -10.257  < 2e-16 ***
DESTIN_GRID2337  0.0164453  0.0505064     0.326 0.744721    
DESTIN_GRID2341  0.7937362  0.0471547    16.833  < 2e-16 ***
DESTIN_GRID2343 -1.3034544  0.0485774   -26.833  < 2e-16 ***
DESTIN_GRID2361 -0.4305183  0.0477103    -9.024  < 2e-16 ***
DESTIN_GRID2364 -2.4240979  0.0554791   -43.694  < 2e-16 ***
DESTIN_GRID2379 -1.4093608  0.0546302   -25.798  < 2e-16 ***
DESTIN_GRID2384  0.5530058  0.0473594    11.677  < 2e-16 ***
DESTIN_GRID2405  1.1944287  0.0471692    25.322  < 2e-16 ***
DESTIN_GRID2406 -1.8397841  0.0526868   -34.919  < 2e-16 ***
DESTIN_GRID2426  0.6373966  0.0482298    13.216  < 2e-16 ***
DESTIN_GRID2427  0.9487350  0.0473837    20.022  < 2e-16 ***
DESTIN_GRID2505  0.5354331  0.0507090    10.559  < 2e-16 ***
log(DISTANCE)   -1.6063951  0.0002912 -5516.648  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 97210253  on 65110  degrees of freedom
Residual deviance: 24543280  on 63482  degrees of freedom
AIC: 24904613

Number of Fisher Scoring iterations: 7

In the doubly constrained spatial interaction model, distance is the only factor. From the above output, the distance decay is -1.6063951. It means that with every unit increase in distance, the commuter flows would decrease.

Show the code 
CalcRSquared(dbcSIM_Poisson$data$TRIPS, dbcSIM_Poisson$fitted.values)
[1] 0.5752984

As of now, the doubly constrained model has the highest R2 of 0.5745456. It means thatthe model accounts for about 57.5% of the variation of flows in the systems.

10 Comparing Models

Another useful model performance measure for continuous dependent variable is Root Mean Squared Error (RMSE), which is a standard way of measuring the error of a model in predicting quantitative data. In this sub-section, you will use compare_performance() of performance package to calculate RMSE.

First, we will create a model_list using the following code chunk.

Show the code 
model_list <- list(originConstrained_base=orcSIM_Poisson,
                   destinationConstrained_base=decSIM_Poisson,
                   doublyConstrained_base=dbcSIM_Poisson)

Then we will compute the RMSE of all models in the models_list using the following code chunk.

Show the code 
compare_performance(model_list,
                    metrics = "RMSE")
# Comparison of Model Performance Indices

Name                        | Model |     RMSE
----------------------------------------------
originConstrained_base      |   glm | 1394.186
destinationConstrained_base |   glm | 1352.207
doublyConstrained_base      |   glm | 1167.214

The output above reveals that doubly constrained Spatial Interaction Model (SIM) is the best model among the three SIMs because it has the smallest RMSE value of 1170.165.

10.1 Visualing Fitted Values

Now, we will visualise the observed values and fitted values.

First we will extract the fitted values from Origin-constrained Model by using the code chunk below.

Show the code 
df <- as.data.frame(orcSIM_Poisson$fitted.values) %>%
  round(digits = 0)

Next, we will append the fitted values into SIM_data data frame using the code chunk below.

Show the code 
SIM_data <- SIM_data %>%
  cbind(df) %>%
  rename(orcTRIPS = "orcSIM_Poisson$fitted.values")

We repeat the abovementioned steps for destination-constrained SIM and double constrained SIM.

Show the code 
df2 <- as.data.frame(decSIM_Poisson$fitted.values) %>%
  round(digits = 0)
Show the code 
SIM_data <- SIM_data %>%
  cbind(df2) %>%
  rename(decTRIPS = "decSIM_Poisson$fitted.values")
Show the code 
df3 <- as.data.frame(dbcSIM_Poisson$fitted.values) %>%
  round(digits = 0)
Show the code 
SIM_data <- SIM_data %>%
  cbind(df3) %>%
  rename(dbcTRIPS = "dbcSIM_Poisson$fitted.values")

Next, three scatterplots will be created by using geom_point() and other relevant functions of ggplot2 package.

Show the code 
orc_p <- ggplot(data = SIM_data,
                aes(x = orcTRIPS,
                    y = TRIPS)) +
  geom_point() +
  geom_smooth(method = lm) + 
  coord_cartesian(xlim=c(0,70000),
                  ylim=c(0,70000))


dec_p <- ggplot(data = SIM_data,
                aes(x = decTRIPS,
                    y = TRIPS)) +
  geom_point() +
  geom_smooth(method = lm)+ 
  coord_cartesian(xlim=c(0,70000),
                  ylim=c(0,70000))


dbc_p <- ggplot(data = SIM_data,
                aes(x = dbcTRIPS,
                    y = TRIPS)) +
  geom_point() +
  geom_smooth(method = lm)+
  coord_cartesian(xlim=c(0,70000),
                  ylim=c(0,70000))

Now, we will put all the graphs into a single visual for better comparison by using the code chunk below.

Show the code 
ggarrange(orc_p, dec_p,dbc_p,
          ncol = 2,
          nrow = 2)

From the above chart, we notice that there are some possible outliers (as seen in the earlier sections too). However, not all outliers should be removed. If these exceptionally high numbers are the norm, then they should not be considered as outliers. In the subsequent section, we will attempt to remove Trips above 60,000 and see if it improves the model performance.

10.2 Further Calibration of the Models

10.2.1 Remove outliers

First we use the following code chunk to filter out trip values more than 60,000 (i.e. we retain only those less than 60,000 in the new dataframe SIM_data1). We will check the summary statistics using summary() to ensure that the maximum value is not higher than 60,000.

SIM_data1 <- SIM_data %>%
  filter(TRIPS < 60000)

summary(SIM_data1$TRIPS)
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
    1.0     7.0    38.0   366.2   175.0 53142.0

From the above output, we see that values that are 60,000 and above have been filtered out.

We will now rerun the origin-constrained SIM, destination SIM and doubly constrained SIM using the following code chunk.

orcSIM_Poisson2 <- glm(formula = TRIPS ~ 
                ORIGIN_GRID +
                log(DESTIN_BS_COUNT) +
                log(DESTIN_BIZ_COUNT) +
                  log(DESTIN_FINSERV_COUNT) +
                  log(DESTIN_MRTEXIT_COUNT) +
                  log(DESTIN_SCHOOLS_COUNT) +
                  log(DESTIN_DWELLINGS ) + 
                log(DISTANCE) - 1,
              family = poisson(link = "log"),
              data = SIM_data1,
              na.action = na.exclude)
summary(orcSIM_Poisson2)

Call:
glm(formula = TRIPS ~ ORIGIN_GRID + log(DESTIN_BS_COUNT) + log(DESTIN_BIZ_COUNT) + 
    log(DESTIN_FINSERV_COUNT) + log(DESTIN_MRTEXIT_COUNT) + log(DESTIN_SCHOOLS_COUNT) + 
    log(DESTIN_DWELLINGS) + log(DISTANCE) - 1, family = poisson(link = "log"), 
    data = SIM_data1, na.action = na.exclude)

Coefficients:
                            Estimate Std. Error   z value Pr(>|z|)    
ORIGIN_GRID23              1.486e+01  9.856e-02   150.798   <2e-16 ***
ORIGIN_GRID44              1.278e+01  1.387e-01    92.119   <2e-16 ***
ORIGIN_GRID46              1.344e+01  8.739e-02   153.757   <2e-16 ***
ORIGIN_GRID66              1.366e+01  1.250e-01   109.288   <2e-16 ***
ORIGIN_GRID67              1.554e+01  2.490e-02   624.018   <2e-16 ***
ORIGIN_GRID68              1.260e+01  1.291e-01    97.554   <2e-16 ***
ORIGIN_GRID86              1.434e+01  7.355e-02   194.938   <2e-16 ***
ORIGIN_GRID87              1.428e+01  8.114e-02   176.041   <2e-16 ***
ORIGIN_GRID88              1.610e+01  1.861e-02   865.385   <2e-16 ***
ORIGIN_GRID89              1.435e+01  4.961e-02   289.207   <2e-16 ***
ORIGIN_GRID90              1.315e+01  1.325e-01    99.250   <2e-16 ***
ORIGIN_GRID109             1.382e+01  9.904e-02   139.515   <2e-16 ***
ORIGIN_GRID110             1.489e+01  7.165e-02   207.765   <2e-16 ***
ORIGIN_GRID111             1.730e+01  1.144e-02  1511.821   <2e-16 ***
ORIGIN_GRID112             1.311e+01  6.419e-02   204.205   <2e-16 ***
ORIGIN_GRID128             1.656e+01  2.234e-02   741.375   <2e-16 ***
ORIGIN_GRID129             1.368e+01  1.890e-01    72.403   <2e-16 ***
ORIGIN_GRID130             1.377e+01  6.023e-02   228.595   <2e-16 ***
ORIGIN_GRID131             1.451e+01  3.530e-02   411.095   <2e-16 ***
ORIGIN_GRID132             1.411e+01  4.799e-02   293.914   <2e-16 ***
ORIGIN_GRID133             1.395e+01  3.775e-02   369.565   <2e-16 ***
ORIGIN_GRID134             1.631e+01  2.332e-02   699.587   <2e-16 ***
ORIGIN_GRID150             1.688e+01  1.980e-02   852.362   <2e-16 ***
ORIGIN_GRID151             1.442e+01  5.866e-02   245.788   <2e-16 ***
ORIGIN_GRID152             1.379e+01  8.114e-02   169.974   <2e-16 ***
ORIGIN_GRID153             1.430e+01  4.157e-02   343.984   <2e-16 ***
ORIGIN_GRID154             1.695e+01  9.047e-03  1873.681   <2e-16 ***
ORIGIN_GRID155             1.411e+01  3.286e-02   429.492   <2e-16 ***
ORIGIN_GRID156             1.509e+01  3.860e-02   390.951   <2e-16 ***
ORIGIN_GRID172             1.559e+01  7.584e-02   205.600   <2e-16 ***
ORIGIN_GRID174             1.427e+01  4.632e-02   307.998   <2e-16 ***
ORIGIN_GRID175             1.651e+01  1.020e-02  1619.141   <2e-16 ***
ORIGIN_GRID176             1.776e+01  6.189e-03  2870.221   <2e-16 ***
ORIGIN_GRID195             1.326e+01  8.087e-02   163.992   <2e-16 ***
ORIGIN_GRID196             1.367e+01  4.194e-02   325.986   <2e-16 ***
ORIGIN_GRID197             1.299e+01  1.098e-01   118.362   <2e-16 ***
ORIGIN_GRID215             1.383e+01  8.251e-02   167.676   <2e-16 ***
ORIGIN_GRID216             1.799e+01  5.331e-03  3375.166   <2e-16 ***
ORIGIN_GRID217             1.530e+01  2.042e-02   749.058   <2e-16 ***
ORIGIN_GRID237             1.273e+01  1.562e-01    81.478   <2e-16 ***
ORIGIN_GRID238             1.387e+01  5.108e-02   271.610   <2e-16 ***
ORIGIN_GRID239             1.311e+01  1.581e-01    82.894   <2e-16 ***
ORIGIN_GRID257             1.383e+01  5.647e-02   244.944   <2e-16 ***
ORIGIN_GRID258             1.458e+01  2.713e-02   537.515   <2e-16 ***
ORIGIN_GRID259             1.440e+01  4.032e-02   357.179   <2e-16 ***
ORIGIN_GRID278             1.497e+01  3.835e-02   390.383   <2e-16 ***
ORIGIN_GRID279             1.386e+01  4.285e-02   323.427   <2e-16 ***
ORIGIN_GRID280             1.410e+01  4.518e-02   312.141   <2e-16 ***
ORIGIN_GRID298             1.159e+01  3.333e-01    34.760   <2e-16 ***
ORIGIN_GRID299             1.381e+01  4.961e-02   278.396   <2e-16 ***
ORIGIN_GRID300             1.685e+01  8.735e-03  1929.318   <2e-16 ***
ORIGIN_GRID320             1.363e+01  6.366e-02   214.174   <2e-16 ***
ORIGIN_GRID321             1.448e+01  7.110e-02   203.694   <2e-16 ***
ORIGIN_GRID322             1.505e+01  4.673e-02   322.184   <2e-16 ***
ORIGIN_GRID340             1.550e+01  2.727e-02   568.400   <2e-16 ***
ORIGIN_GRID341             1.377e+01  4.420e-02   311.598   <2e-16 ***
ORIGIN_GRID342             1.414e+01  4.115e-02   343.498   <2e-16 ***
ORIGIN_GRID363             1.495e+01  3.697e-02   404.530   <2e-16 ***
ORIGIN_GRID364             1.512e+01  2.650e-02   570.590   <2e-16 ***
ORIGIN_GRID383             1.471e+01  3.119e-02   471.783   <2e-16 ***
ORIGIN_GRID384             1.357e+01  5.210e-02   260.406   <2e-16 ***
ORIGIN_GRID385             1.453e+01  4.602e-02   315.772   <2e-16 ***
ORIGIN_GRID404             1.521e+01  3.398e-02   447.599   <2e-16 ***
ORIGIN_GRID405             1.418e+01  4.861e-02   291.621   <2e-16 ***
ORIGIN_GRID406             1.885e+01  3.184e-03  5919.884   <2e-16 ***
ORIGIN_GRID407             1.491e+01  4.536e-02   328.710   <2e-16 ***
ORIGIN_GRID408             1.567e+01  2.275e-02   688.651   <2e-16 ***
ORIGIN_GRID425             1.295e+01  8.807e-02   146.999   <2e-16 ***
ORIGIN_GRID426             1.473e+01  2.949e-02   499.660   <2e-16 ***
ORIGIN_GRID427             1.399e+01  3.542e-02   394.870   <2e-16 ***
ORIGIN_GRID428             1.388e+01  7.788e-02   178.161   <2e-16 ***
ORIGIN_GRID429             1.575e+01  2.261e-02   696.641   <2e-16 ***
ORIGIN_GRID446             1.451e+01  5.876e-02   246.950   <2e-16 ***
ORIGIN_GRID447             1.399e+01  4.450e-02   314.259   <2e-16 ***
ORIGIN_GRID448             1.477e+01  2.785e-02   530.314   <2e-16 ***
ORIGIN_GRID449             1.769e+01  6.295e-03  2810.150   <2e-16 ***
ORIGIN_GRID450             1.561e+01  1.955e-02   798.349   <2e-16 ***
ORIGIN_GRID468             1.493e+01  2.762e-02   540.315   <2e-16 ***
ORIGIN_GRID469             1.548e+01  1.753e-02   882.794   <2e-16 ***
ORIGIN_GRID470             1.805e+01  4.770e-03  3783.615   <2e-16 ***
ORIGIN_GRID471             1.642e+01  1.601e-02  1025.449   <2e-16 ***
ORIGIN_GRID488             1.451e+01  5.739e-02   252.738   <2e-16 ***
ORIGIN_GRID489             1.183e+01  2.500e-01    47.299   <2e-16 ***
ORIGIN_GRID490             1.643e+01  1.152e-02  1425.862   <2e-16 ***
ORIGIN_GRID491             1.697e+01  7.518e-03  2256.812   <2e-16 ***
ORIGIN_GRID493             1.247e+01  1.387e-01    89.906   <2e-16 ***
ORIGIN_GRID494             1.451e+01  5.886e-02   246.498   <2e-16 ***
ORIGIN_GRID509             1.476e+01  3.375e-02   437.172   <2e-16 ***
ORIGIN_GRID510             1.503e+01  2.463e-02   610.069   <2e-16 ***
ORIGIN_GRID511             1.602e+01  1.070e-02  1497.346   <2e-16 ***
ORIGIN_GRID512             1.852e+01  3.601e-03  5142.490   <2e-16 ***
ORIGIN_GRID513             1.534e+01  2.399e-02   639.306   <2e-16 ***
ORIGIN_GRID514             1.491e+01  3.677e-02   405.459   <2e-16 ***
ORIGIN_GRID515             1.277e+01  1.374e-01    92.973   <2e-16 ***
ORIGIN_GRID530             1.382e+01  8.087e-02   170.893   <2e-16 ***
ORIGIN_GRID531             1.516e+01  2.018e-02   751.016   <2e-16 ***
ORIGIN_GRID532             1.470e+01  2.299e-02   639.542   <2e-16 ***
ORIGIN_GRID533             1.831e+01  3.638e-03  5034.271   <2e-16 ***
ORIGIN_GRID534             1.770e+01  6.063e-03  2918.958   <2e-16 ***
ORIGIN_GRID536             1.523e+01  2.505e-02   607.869   <2e-16 ***
ORIGIN_GRID537             1.295e+01  1.374e-01    94.258   <2e-16 ***
ORIGIN_GRID538             1.273e+01  2.041e-01    62.352   <2e-16 ***
ORIGIN_GRID539             1.054e+01  5.774e-01    18.253   <2e-16 ***
ORIGIN_GRID551             1.387e+01  5.395e-02   257.008   <2e-16 ***
ORIGIN_GRID552             1.567e+01  3.647e-02   429.566   <2e-16 ***
ORIGIN_GRID553             1.488e+01  1.896e-02   784.530   <2e-16 ***
ORIGIN_GRID554             1.734e+01  6.122e-03  2832.055   <2e-16 ***
ORIGIN_GRID555             1.775e+01  6.897e-03  2574.189   <2e-16 ***
ORIGIN_GRID559             1.356e+01  9.327e-02   145.420   <2e-16 ***
ORIGIN_GRID560             1.545e+01  4.735e-02   326.304   <2e-16 ***
ORIGIN_GRID572             1.166e+01  2.236e-01    52.138   <2e-16 ***
ORIGIN_GRID573             1.406e+01  4.352e-02   323.130   <2e-16 ***
ORIGIN_GRID574             1.492e+01  3.610e-02   413.307   <2e-16 ***
ORIGIN_GRID575             1.916e+01  2.761e-03  6938.516   <2e-16 ***
ORIGIN_GRID576             1.779e+01  5.035e-03  3533.434   <2e-16 ***
ORIGIN_GRID578             1.296e+01  1.072e-01   120.863   <2e-16 ***
ORIGIN_GRID582             1.318e+01  1.066e-01   123.576   <2e-16 ***
ORIGIN_GRID583             1.239e+01  1.961e-01    63.193   <2e-16 ***
ORIGIN_GRID584             1.566e+01  5.510e-02   284.139   <2e-16 ***
ORIGIN_GRID593             1.434e+01  4.949e-02   289.709   <2e-16 ***
ORIGIN_GRID594             1.512e+01  2.587e-02   584.293   <2e-16 ***
ORIGIN_GRID595             1.468e+01  1.979e-02   741.742   <2e-16 ***
ORIGIN_GRID596             1.761e+01  4.501e-03  3912.643   <2e-16 ***
ORIGIN_GRID597             1.441e+01  5.887e-02   244.761   <2e-16 ***
ORIGIN_GRID603             1.344e+01  1.085e-01   123.853   <2e-16 ***
ORIGIN_GRID604             1.180e+01  2.673e-01    44.163   <2e-16 ***
ORIGIN_GRID615             1.374e+01  4.390e-02   312.953   <2e-16 ***
ORIGIN_GRID616             1.458e+01  2.903e-02   502.308   <2e-16 ***
ORIGIN_GRID617             1.529e+01  1.740e-02   878.710   <2e-16 ***
ORIGIN_GRID618             1.814e+01  4.037e-03  4493.133   <2e-16 ***
ORIGIN_GRID620             1.500e+01  3.238e-02   463.256   <2e-16 ***
ORIGIN_GRID637             1.396e+01  3.922e-02   355.903   <2e-16 ***
ORIGIN_GRID638             1.772e+01  4.349e-03  4074.454   <2e-16 ***
ORIGIN_GRID657             1.566e+01  1.617e-02   968.103   <2e-16 ***
ORIGIN_GRID658             1.696e+01  6.454e-03  2627.330   <2e-16 ***
ORIGIN_GRID659             1.731e+01  5.521e-03  3136.248   <2e-16 ***
ORIGIN_GRID660             1.834e+01  3.577e-03  5128.284   <2e-16 ***
ORIGIN_GRID662             1.786e+01  7.206e-03  2478.669   <2e-16 ***
ORIGIN_GRID677             1.569e+01  2.241e-02   700.389   <2e-16 ***
ORIGIN_GRID678             1.360e+01  4.361e-02   311.903   <2e-16 ***
ORIGIN_GRID679             1.817e+01  3.847e-03  4722.040   <2e-16 ***
ORIGIN_GRID680             1.820e+01  3.819e-03  4766.089   <2e-16 ***
ORIGIN_GRID681             1.725e+01  8.452e-03  2041.282   <2e-16 ***
ORIGIN_GRID699             1.517e+01  2.203e-02   688.856   <2e-16 ***
ORIGIN_GRID700             1.713e+01  6.192e-03  2766.312   <2e-16 ***
ORIGIN_GRID701             1.723e+01  6.247e-03  2758.588   <2e-16 ***
ORIGIN_GRID702             1.816e+01  3.768e-03  4820.135   <2e-16 ***
ORIGIN_GRID704             1.486e+01  3.193e-02   465.290   <2e-16 ***
ORIGIN_GRID722             1.514e+01  1.790e-02   846.207   <2e-16 ***
ORIGIN_GRID725             1.413e+01  4.357e-02   324.234   <2e-16 ***
ORIGIN_GRID741             1.573e+01  1.633e-02   963.285   <2e-16 ***
ORIGIN_GRID743             1.555e+01  1.234e-02  1260.634   <2e-16 ***
ORIGIN_GRID744             1.762e+01  4.675e-03  3768.019   <2e-16 ***
ORIGIN_GRID761             1.517e+01  2.713e-02   559.295   <2e-16 ***
ORIGIN_GRID762             1.718e+01  7.080e-03  2426.697   <2e-16 ***
ORIGIN_GRID763             1.400e+01  2.761e-02   507.266   <2e-16 ***
ORIGIN_GRID764             1.805e+01  3.719e-03  4852.450   <2e-16 ***
ORIGIN_GRID765             1.704e+01  8.220e-03  2073.107   <2e-16 ***
ORIGIN_GRID767             1.864e+01  3.933e-03  4738.455   <2e-16 ***
ORIGIN_GRID772             1.368e+01  7.201e-02   189.960   <2e-16 ***
ORIGIN_GRID784             1.427e+01  2.347e-02   607.752   <2e-16 ***
ORIGIN_GRID785             1.728e+01  4.544e-03  3801.884   <2e-16 ***
ORIGIN_GRID786             1.684e+01  6.128e-03  2748.197   <2e-16 ***
ORIGIN_GRID787             1.742e+01  7.280e-03  2393.068   <2e-16 ***
ORIGIN_GRID788             1.794e+01  5.397e-03  3324.583   <2e-16 ***
ORIGIN_GRID789             1.647e+01  1.044e-02  1576.944   <2e-16 ***
ORIGIN_GRID803             1.380e+01  4.878e-02   282.794   <2e-16 ***
ORIGIN_GRID804             1.810e+01  4.335e-03  4173.935   <2e-16 ***
ORIGIN_GRID805             1.794e+01  3.720e-03  4820.921   <2e-16 ***
ORIGIN_GRID806             1.746e+01  4.525e-03  3858.051   <2e-16 ***
ORIGIN_GRID807             1.823e+01  4.429e-03  4117.312   <2e-16 ***
ORIGIN_GRID808             1.662e+01  1.092e-02  1521.160   <2e-16 ***
ORIGIN_GRID809             1.818e+01  3.748e-03  4849.252   <2e-16 ***
ORIGIN_GRID810             1.756e+01  5.618e-03  3126.093   <2e-16 ***
ORIGIN_GRID814             1.516e+01  2.752e-02   550.923   <2e-16 ***
ORIGIN_GRID824             1.438e+01  3.835e-02   375.076   <2e-16 ***
ORIGIN_GRID826             1.567e+01  1.004e-02  1561.129   <2e-16 ***
ORIGIN_GRID827             1.773e+01  4.054e-03  4372.051   <2e-16 ***
ORIGIN_GRID828             1.780e+01  3.974e-03  4479.451   <2e-16 ***
ORIGIN_GRID829             1.787e+01  4.706e-03  3797.690   <2e-16 ***
ORIGIN_GRID830             1.780e+01  5.253e-03  3388.119   <2e-16 ***
ORIGIN_GRID831             1.863e+01  3.290e-03  5662.596   <2e-16 ***
ORIGIN_GRID832             1.780e+01  6.135e-03  2901.120   <2e-16 ***
ORIGIN_GRID835             1.487e+01  2.927e-02   508.140   <2e-16 ***
ORIGIN_GRID844             1.317e+01  7.788e-02   169.076   <2e-16 ***
ORIGIN_GRID846             1.722e+01  5.368e-03  3208.784   <2e-16 ***
ORIGIN_GRID847             1.610e+01  8.945e-03  1800.350   <2e-16 ***
ORIGIN_GRID848             1.728e+01  4.950e-03  3491.821   <2e-16 ***
ORIGIN_GRID849             1.643e+01  7.857e-03  2091.234   <2e-16 ***
ORIGIN_GRID850             1.729e+01  5.531e-03  3125.197   <2e-16 ***
ORIGIN_GRID851             1.766e+01  4.351e-03  4058.627   <2e-16 ***
ORIGIN_GRID852             1.717e+01  6.086e-03  2821.397   <2e-16 ***
ORIGIN_GRID853             1.809e+01  7.568e-03  2389.818   <2e-16 ***
ORIGIN_GRID854             1.527e+01  2.586e-02   590.654   <2e-16 ***
ORIGIN_GRID855             1.419e+01  4.344e-02   326.545   <2e-16 ***
ORIGIN_GRID856             1.585e+01  1.797e-02   882.035   <2e-16 ***
ORIGIN_GRID866             1.475e+01  3.180e-02   463.665   <2e-16 ***
ORIGIN_GRID867             1.594e+01  1.186e-02  1343.335   <2e-16 ***
ORIGIN_GRID868             1.516e+01  1.766e-02   858.526   <2e-16 ***
ORIGIN_GRID869             1.784e+01  5.882e-03  3033.082   <2e-16 ***
ORIGIN_GRID870             1.829e+01  3.340e-03  5476.641   <2e-16 ***
ORIGIN_GRID871             1.781e+01  5.910e-03  3013.128   <2e-16 ***
ORIGIN_GRID872             1.592e+01  1.087e-02  1464.623   <2e-16 ***
ORIGIN_GRID873             1.608e+01  1.008e-02  1595.563   <2e-16 ***
ORIGIN_GRID874             1.645e+01  8.099e-03  2031.289   <2e-16 ***
ORIGIN_GRID875             1.335e+01  7.201e-02   185.340   <2e-16 ***
ORIGIN_GRID876             1.449e+01  3.148e-02   460.235   <2e-16 ***
ORIGIN_GRID877             1.393e+01  4.005e-02   347.779   <2e-16 ***
ORIGIN_GRID887             1.568e+01  1.338e-02  1172.173   <2e-16 ***
ORIGIN_GRID888             1.695e+01  6.933e-03  2444.497   <2e-16 ***
ORIGIN_GRID889             1.395e+01  3.387e-02   411.743   <2e-16 ***
ORIGIN_GRID890             1.787e+01  3.924e-03  4554.778   <2e-16 ***
ORIGIN_GRID891             1.666e+01  1.117e-02  1491.408   <2e-16 ***
ORIGIN_GRID893             1.772e+01  4.152e-03  4268.049   <2e-16 ***
ORIGIN_GRID894             1.586e+01  1.090e-02  1455.558   <2e-16 ***
ORIGIN_GRID895             1.557e+01  1.514e-02  1028.072   <2e-16 ***
ORIGIN_GRID896             1.506e+01  2.533e-02   594.817   <2e-16 ***
ORIGIN_GRID897             1.325e+01  6.392e-02   207.262   <2e-16 ***
ORIGIN_GRID898             1.505e+01  2.907e-02   517.676   <2e-16 ***
ORIGIN_GRID908             1.687e+01  1.190e-02  1417.695   <2e-16 ***
ORIGIN_GRID909             1.701e+01  5.724e-03  2971.955   <2e-16 ***
ORIGIN_GRID910             1.499e+01  1.717e-02   873.204   <2e-16 ***
ORIGIN_GRID911             1.629e+01  8.643e-03  1885.020   <2e-16 ***
ORIGIN_GRID912             1.755e+01  4.457e-03  3936.293   <2e-16 ***
ORIGIN_GRID915             1.763e+01  4.448e-03  3962.374   <2e-16 ***
ORIGIN_GRID917             1.713e+01  7.295e-03  2347.996   <2e-16 ***
ORIGIN_GRID918             1.409e+01  3.612e-02   389.983   <2e-16 ***
ORIGIN_GRID919             1.662e+01  8.926e-03  1862.528   <2e-16 ***
ORIGIN_GRID928             1.609e+01  1.334e-02  1206.010   <2e-16 ***
ORIGIN_GRID929             1.743e+01  4.650e-03  3747.685   <2e-16 ***
ORIGIN_GRID930             1.814e+01  3.334e-03  5441.051   <2e-16 ***
ORIGIN_GRID931             1.517e+01  1.656e-02   916.169   <2e-16 ***
ORIGIN_GRID932             1.563e+01  1.739e-02   898.718   <2e-16 ***
ORIGIN_GRID933             1.734e+01  5.625e-03  3082.784   <2e-16 ***
ORIGIN_GRID934             1.493e+01  1.714e-02   870.868   <2e-16 ***
ORIGIN_GRID935             1.844e+01  3.362e-03  5484.349   <2e-16 ***
ORIGIN_GRID938             1.200e+01  2.132e-01    56.291   <2e-16 ***
ORIGIN_GRID939             1.854e+01  3.880e-03  4777.619   <2e-16 ***
ORIGIN_GRID940             1.371e+01  6.044e-02   226.794   <2e-16 ***
ORIGIN_GRID949             1.585e+01  1.259e-02  1259.285   <2e-16 ***
ORIGIN_GRID950             1.777e+01  4.917e-03  3613.511   <2e-16 ***
ORIGIN_GRID951             1.862e+01  3.038e-03  6127.543   <2e-16 ***
ORIGIN_GRID952             1.557e+01  2.087e-02   745.953   <2e-16 ***
ORIGIN_GRID953             1.647e+01  9.329e-03  1765.619   <2e-16 ***
ORIGIN_GRID954             1.495e+01  1.656e-02   902.698   <2e-16 ***
ORIGIN_GRID955             1.715e+01  5.675e-03  3021.029   <2e-16 ***
ORIGIN_GRID956             1.559e+01  1.133e-02  1376.068   <2e-16 ***
ORIGIN_GRID957             1.756e+01  5.581e-03  3146.330   <2e-16 ***
ORIGIN_GRID959             1.444e+01  4.838e-02   298.440   <2e-16 ***
ORIGIN_GRID961             1.429e+01  2.976e-02   479.976   <2e-16 ***
ORIGIN_GRID962             9.592e+00  1.000e+00     9.592   <2e-16 ***
ORIGIN_GRID970             1.635e+01  7.908e-03  2067.481   <2e-16 ***
ORIGIN_GRID971             1.760e+01  3.957e-03  4446.782   <2e-16 ***
ORIGIN_GRID972             1.737e+01  4.801e-03  3616.992   <2e-16 ***
ORIGIN_GRID974             1.671e+01  7.290e-03  2291.882   <2e-16 ***
ORIGIN_GRID975             1.626e+01  8.806e-03  1846.511   <2e-16 ***
ORIGIN_GRID976             1.493e+01  1.667e-02   895.266   <2e-16 ***
ORIGIN_GRID977             1.801e+01  3.866e-03  4659.266   <2e-16 ***
ORIGIN_GRID978             1.761e+01  6.884e-03  2558.545   <2e-16 ***
ORIGIN_GRID982             1.554e+01  1.426e-02  1089.793   <2e-16 ***
ORIGIN_GRID983             1.844e+01  6.253e-03  2949.164   <2e-16 ***
ORIGIN_GRID991             1.625e+01  8.795e-03  1848.176   <2e-16 ***
ORIGIN_GRID992             1.667e+01  6.832e-03  2439.926   <2e-16 ***
ORIGIN_GRID993             1.631e+01  7.342e-03  2221.242   <2e-16 ***
ORIGIN_GRID994             1.575e+01  1.082e-02  1455.851   <2e-16 ***
ORIGIN_GRID995             1.711e+01  5.562e-03  3075.407   <2e-16 ***
ORIGIN_GRID996             1.663e+01  7.479e-03  2223.993   <2e-16 ***
ORIGIN_GRID997             1.505e+01  2.909e-02   517.261   <2e-16 ***
ORIGIN_GRID998             1.810e+01  4.031e-03  4489.661   <2e-16 ***
ORIGIN_GRID999             1.799e+01  5.411e-03  3325.477   <2e-16 ***
ORIGIN_GRID1001            1.545e+01  2.436e-02   634.456   <2e-16 ***
ORIGIN_GRID1003            1.803e+01  4.325e-03  4169.764   <2e-16 ***
ORIGIN_GRID1004            1.840e+01  4.011e-03  4588.083   <2e-16 ***
ORIGIN_GRID1011            1.470e+01  3.011e-02   488.139   <2e-16 ***
ORIGIN_GRID1012            1.439e+01  3.179e-02   452.834   <2e-16 ***
ORIGIN_GRID1013            1.510e+01  1.583e-02   953.479   <2e-16 ***
ORIGIN_GRID1014            1.575e+01  1.061e-02  1484.065   <2e-16 ***
ORIGIN_GRID1015            1.509e+01  1.584e-02   952.721   <2e-16 ***
ORIGIN_GRID1016            1.667e+01  7.133e-03  2336.986   <2e-16 ***
ORIGIN_GRID1018            1.703e+01  9.724e-03  1750.982   <2e-16 ***
ORIGIN_GRID1019            1.843e+01  4.698e-03  3922.308   <2e-16 ***
ORIGIN_GRID1023            1.701e+01  9.223e-03  1843.920   <2e-16 ***
ORIGIN_GRID1024            1.811e+01  4.423e-03  4093.671   <2e-16 ***
ORIGIN_GRID1025            1.369e+01  4.913e-02   278.652   <2e-16 ***
ORIGIN_GRID1033            1.577e+01  1.109e-02  1422.557   <2e-16 ***
ORIGIN_GRID1034            1.653e+01  7.161e-03  2308.839   <2e-16 ***
ORIGIN_GRID1035            1.713e+01  5.459e-03  3137.799   <2e-16 ***
ORIGIN_GRID1036            1.523e+01  1.385e-02  1099.951   <2e-16 ***
ORIGIN_GRID1037            1.643e+01  7.005e-03  2345.802   <2e-16 ***
ORIGIN_GRID1043            1.544e+01  2.466e-02   625.867   <2e-16 ***
ORIGIN_GRID1045            1.777e+01  4.527e-03  3925.271   <2e-16 ***
ORIGIN_GRID1046            1.776e+01  4.993e-03  3557.487   <2e-16 ***
ORIGIN_GRID1053            1.708e+01  5.764e-03  2963.228   <2e-16 ***
ORIGIN_GRID1054            1.629e+01  7.766e-03  2098.043   <2e-16 ***
ORIGIN_GRID1055            1.715e+01  5.243e-03  3270.892   <2e-16 ***
ORIGIN_GRID1056            1.604e+01  9.158e-03  1751.483   <2e-16 ***
ORIGIN_GRID1064            1.251e+01  2.500e-01    50.028   <2e-16 ***
ORIGIN_GRID1066            1.764e+01  5.012e-03  3519.278   <2e-16 ***
ORIGIN_GRID1067            1.775e+01  6.552e-03  2709.580   <2e-16 ***
ORIGIN_GRID1074            1.660e+01  7.565e-03  2194.877   <2e-16 ***
ORIGIN_GRID1075            1.601e+01  1.003e-02  1596.785   <2e-16 ***
ORIGIN_GRID1076            1.584e+01  8.619e-03  1837.806   <2e-16 ***
ORIGIN_GRID1077            1.587e+01  1.007e-02  1576.040   <2e-16 ***
ORIGIN_GRID1079            1.733e+01  5.169e-03  3351.956   <2e-16 ***
ORIGIN_GRID1085            1.284e+01  1.414e-01    90.794   <2e-16 ***
ORIGIN_GRID1087            1.756e+01  5.795e-03  3030.926   <2e-16 ***
ORIGIN_GRID1088            1.612e+01  1.179e-02  1367.270   <2e-16 ***
ORIGIN_GRID1094            1.465e+01  4.354e-02   336.550   <2e-16 ***
ORIGIN_GRID1095            1.435e+01  3.279e-02   437.650   <2e-16 ***
ORIGIN_GRID1096            1.563e+01  2.022e-02   772.734   <2e-16 ***
ORIGIN_GRID1097            1.765e+01  3.941e-03  4478.003   <2e-16 ***
ORIGIN_GRID1098            1.498e+01  1.796e-02   833.762   <2e-16 ***
ORIGIN_GRID1099            1.662e+01  6.826e-03  2434.473   <2e-16 ***
ORIGIN_GRID1105            1.438e+01  6.124e-02   234.793   <2e-16 ***
ORIGIN_GRID1106            1.342e+01  9.169e-02   146.381   <2e-16 ***
ORIGIN_GRID1107            1.524e+01  2.740e-02   556.143   <2e-16 ***
ORIGIN_GRID1108            1.920e+01  2.844e-03  6751.626   <2e-16 ***
ORIGIN_GRID1109            1.686e+01  1.014e-02  1663.023   <2e-16 ***
ORIGIN_GRID1116            1.638e+01  8.449e-03  1938.491   <2e-16 ***
ORIGIN_GRID1117            1.470e+01  1.738e-02   845.487   <2e-16 ***
ORIGIN_GRID1118            1.474e+01  1.902e-02   774.775   <2e-16 ***
ORIGIN_GRID1119            1.576e+01  9.680e-03  1627.780   <2e-16 ***
ORIGIN_GRID1120            1.560e+01  1.307e-02  1194.048   <2e-16 ***
ORIGIN_GRID1129            1.795e+01  4.738e-03  3788.162   <2e-16 ***
ORIGIN_GRID1130            1.818e+01  4.068e-03  4469.375   <2e-16 ***
ORIGIN_GRID1131            1.700e+01  1.004e-02  1693.141   <2e-16 ***
ORIGIN_GRID1136            1.515e+01  1.525e-02   993.817   <2e-16 ***
ORIGIN_GRID1138            1.415e+01  2.850e-02   496.525   <2e-16 ***
ORIGIN_GRID1139            1.682e+01  5.299e-03  3174.888   <2e-16 ***
ORIGIN_GRID1141            1.679e+01  6.386e-03  2629.636   <2e-16 ***
ORIGIN_GRID1148            1.458e+01  5.162e-02   282.503   <2e-16 ***
ORIGIN_GRID1149            1.583e+01  1.718e-02   921.395   <2e-16 ***
ORIGIN_GRID1150            1.824e+01  3.764e-03  4845.213   <2e-16 ***
ORIGIN_GRID1151            1.730e+01  6.469e-03  2673.612   <2e-16 ***
ORIGIN_GRID1158            1.556e+01  1.105e-02  1407.782   <2e-16 ***
ORIGIN_GRID1159            1.667e+01  5.841e-03  2853.308   <2e-16 ***
ORIGIN_GRID1160            1.751e+01  4.034e-03  4341.224   <2e-16 ***
ORIGIN_GRID1171            1.841e+01  4.007e-03  4595.371   <2e-16 ***
ORIGIN_GRID1172            1.834e+01  3.905e-03  4697.694   <2e-16 ***
ORIGIN_GRID1173            1.606e+01  1.234e-02  1301.247   <2e-16 ***
ORIGIN_GRID1174            1.205e+01  2.673e-01    45.076   <2e-16 ***
ORIGIN_GRID1178            1.561e+01  1.038e-02  1503.874   <2e-16 ***
ORIGIN_GRID1179            1.627e+01  6.961e-03  2337.724   <2e-16 ***
ORIGIN_GRID1180            1.716e+01  4.560e-03  3762.632   <2e-16 ***
ORIGIN_GRID1181            1.633e+01  6.670e-03  2448.343   <2e-16 ***
ORIGIN_GRID1183            1.555e+01  1.171e-02  1327.242   <2e-16 ***
ORIGIN_GRID1190            1.481e+01  4.788e-02   309.255   <2e-16 ***
ORIGIN_GRID1192            1.757e+01  6.239e-03  2815.579   <2e-16 ***
ORIGIN_GRID1193            1.758e+01  5.280e-03  3330.098   <2e-16 ***
ORIGIN_GRID1194            1.592e+01  1.386e-02  1148.943   <2e-16 ***
ORIGIN_GRID1200            1.652e+01  6.768e-03  2441.680   <2e-16 ***
ORIGIN_GRID1201            1.620e+01  7.210e-03  2247.404   <2e-16 ***
ORIGIN_GRID1203            1.672e+01  6.075e-03  2752.839   <2e-16 ***
ORIGIN_GRID1204            1.655e+01  6.970e-03  2374.147   <2e-16 ***
ORIGIN_GRID1211            1.406e+01  8.911e-02   157.765   <2e-16 ***
ORIGIN_GRID1214            1.813e+01  4.260e-03  4257.180   <2e-16 ***
ORIGIN_GRID1215            1.499e+01  3.968e-02   377.698   <2e-16 ***
ORIGIN_GRID1216            1.423e+01  4.034e-02   352.767   <2e-16 ***
ORIGIN_GRID1220            1.744e+01  4.393e-03  3968.924   <2e-16 ***
ORIGIN_GRID1221            1.699e+01  4.797e-03  3540.555   <2e-16 ***
ORIGIN_GRID1222            1.663e+01  9.723e-03  1710.258   <2e-16 ***
ORIGIN_GRID1223            1.472e+01  1.671e-02   880.632   <2e-16 ***
ORIGIN_GRID1224            1.559e+01  1.062e-02  1467.395   <2e-16 ***
ORIGIN_GRID1231            1.197e+01  1.890e-01    63.342   <2e-16 ***
ORIGIN_GRID1232            1.363e+01  1.118e-01   121.845   <2e-16 ***
ORIGIN_GRID1235            1.563e+01  1.371e-02  1139.976   <2e-16 ***
ORIGIN_GRID1236            1.601e+01  1.363e-02  1174.426   <2e-16 ***
ORIGIN_GRID1241            1.566e+01  1.010e-02  1550.246   <2e-16 ***
ORIGIN_GRID1242            1.634e+01  6.923e-03  2360.790   <2e-16 ***
ORIGIN_GRID1243            1.681e+01  5.106e-03  3292.603   <2e-16 ***
ORIGIN_GRID1246            1.580e+01  9.227e-03  1712.177   <2e-16 ***
ORIGIN_GRID1256            1.696e+01  7.439e-03  2280.301   <2e-16 ***
ORIGIN_GRID1257            1.788e+01  5.242e-03  3411.930   <2e-16 ***
ORIGIN_GRID1258            1.595e+01  1.441e-02  1107.196   <2e-16 ***
ORIGIN_GRID1262            1.606e+01  8.300e-03  1935.488   <2e-16 ***
ORIGIN_GRID1263            1.658e+01  5.462e-03  3035.538   <2e-16 ***
ORIGIN_GRID1264            1.544e+01  1.180e-02  1308.717   <2e-16 ***
ORIGIN_GRID1265            1.503e+01  1.397e-02  1076.308   <2e-16 ***
ORIGIN_GRID1266            1.647e+01  7.854e-03  2097.470   <2e-16 ***
ORIGIN_GRID1267            1.453e+01  2.669e-02   544.267   <2e-16 ***
ORIGIN_GRID1272            1.230e+01  1.155e-01   106.539   <2e-16 ***
ORIGIN_GRID1273            1.614e+01  1.194e-02  1351.370   <2e-16 ***
ORIGIN_GRID1277            1.795e+01  4.234e-03  4239.589   <2e-16 ***
ORIGIN_GRID1278            1.562e+01  1.373e-02  1137.530   <2e-16 ***
ORIGIN_GRID1283            1.766e+01  4.162e-03  4242.234   <2e-16 ***
ORIGIN_GRID1284            1.692e+01  5.007e-03  3378.814   <2e-16 ***
ORIGIN_GRID1285            1.763e+01  3.761e-03  4686.807   <2e-16 ***
ORIGIN_GRID1286            1.578e+01  1.012e-02  1559.564   <2e-16 ***
ORIGIN_GRID1289            1.386e+01  4.603e-02   301.038   <2e-16 ***
ORIGIN_GRID1293            1.291e+01  8.911e-02   144.831   <2e-16 ***
ORIGIN_GRID1294            1.765e+01  6.130e-03  2879.483   <2e-16 ***
ORIGIN_GRID1295            1.524e+01  2.061e-02   739.464   <2e-16 ***
ORIGIN_GRID1298            1.688e+01  6.905e-03  2445.418   <2e-16 ***
ORIGIN_GRID1299            1.750e+01  6.194e-03  2824.576   <2e-16 ***
ORIGIN_GRID1304            1.753e+01  4.116e-03  4260.234   <2e-16 ***
ORIGIN_GRID1305            1.693e+01  4.451e-03  3803.159   <2e-16 ***
ORIGIN_GRID1307            1.316e+01  3.759e-02   350.013   <2e-16 ***
ORIGIN_GRID1308            1.658e+01  6.324e-03  2621.686   <2e-16 ***
ORIGIN_GRID1310            1.222e+01  1.302e-01    93.872   <2e-16 ***
ORIGIN_GRID1316            1.421e+01  3.315e-02   428.532   <2e-16 ***
ORIGIN_GRID1317            1.600e+01  1.127e-02  1419.538   <2e-16 ***
ORIGIN_GRID1318            1.542e+01  1.531e-02  1007.373   <2e-16 ***
ORIGIN_GRID1319            1.813e+01  4.087e-03  4437.428   <2e-16 ***
ORIGIN_GRID1320            1.684e+01  8.928e-03  1885.716   <2e-16 ***
ORIGIN_GRID1325            1.517e+01  1.232e-02  1231.128   <2e-16 ***
ORIGIN_GRID1326            1.708e+01  4.387e-03  3891.959   <2e-16 ***
ORIGIN_GRID1327            1.679e+01  4.747e-03  3537.350   <2e-16 ***
ORIGIN_GRID1328            1.530e+01  9.473e-03  1615.361   <2e-16 ***
ORIGIN_GRID1329            1.567e+01  1.161e-02  1349.603   <2e-16 ***
ORIGIN_GRID1330            1.648e+01  8.179e-03  2014.979   <2e-16 ***
ORIGIN_GRID1331            1.181e+01  3.015e-01    39.171   <2e-16 ***
ORIGIN_GRID1333            1.565e+01  1.221e-02  1282.076   <2e-16 ***
ORIGIN_GRID1334            1.599e+01  1.127e-02  1418.631   <2e-16 ***
ORIGIN_GRID1335            1.543e+01  1.651e-02   934.259   <2e-16 ***
ORIGIN_GRID1336            1.304e+01  1.072e-01   121.630   <2e-16 ***
ORIGIN_GRID1337            1.358e+01  4.873e-02   278.619   <2e-16 ***
ORIGIN_GRID1338            1.240e+01  8.141e-02   152.277   <2e-16 ***
ORIGIN_GRID1339            1.810e+01  3.959e-03  4571.356   <2e-16 ***
ORIGIN_GRID1340            1.651e+01  8.930e-03  1849.330   <2e-16 ***
ORIGIN_GRID1341            1.168e+01  7.071e-01    16.519   <2e-16 ***
ORIGIN_GRID1346            1.661e+01  6.299e-03  2636.266   <2e-16 ***
ORIGIN_GRID1347            1.754e+01  3.733e-03  4699.805   <2e-16 ***
ORIGIN_GRID1348            1.585e+01  6.372e-03  2488.171   <2e-16 ***
ORIGIN_GRID1349            1.566e+01  8.173e-03  1916.272   <2e-16 ***
ORIGIN_GRID1350            1.588e+01  1.113e-02  1427.667   <2e-16 ***
ORIGIN_GRID1353            1.608e+01  8.486e-03  1894.249   <2e-16 ***
ORIGIN_GRID1354            1.557e+01  1.211e-02  1286.135   <2e-16 ***
ORIGIN_GRID1355            1.640e+01  8.442e-03  1941.978   <2e-16 ***
ORIGIN_GRID1357            1.548e+01  1.874e-02   826.231   <2e-16 ***
ORIGIN_GRID1358            1.680e+01  7.351e-03  2286.173   <2e-16 ***
ORIGIN_GRID1359            1.728e+01  5.326e-03  3245.182   <2e-16 ***
ORIGIN_GRID1360            1.738e+01  5.471e-03  3177.000   <2e-16 ***
ORIGIN_GRID1361            1.835e+01  4.183e-03  4387.392   <2e-16 ***
ORIGIN_GRID1362            1.427e+01  4.518e-02   315.846   <2e-16 ***
ORIGIN_GRID1368            1.543e+01  8.520e-03  1810.756   <2e-16 ***
ORIGIN_GRID1369            1.526e+01  8.712e-03  1751.715   <2e-16 ***
ORIGIN_GRID1370            1.640e+01  5.224e-03  3139.496   <2e-16 ***
ORIGIN_GRID1371            1.577e+01  9.921e-03  1590.035   <2e-16 ***
ORIGIN_GRID1372            1.537e+01  1.314e-02  1169.989   <2e-16 ***
ORIGIN_GRID1373            1.348e+01  4.648e-02   289.998   <2e-16 ***
ORIGIN_GRID1374            1.518e+01  1.221e-02  1243.514   <2e-16 ***
ORIGIN_GRID1375            1.675e+01  7.740e-03  2164.691   <2e-16 ***
ORIGIN_GRID1376            1.615e+01  1.234e-02  1309.023   <2e-16 ***
ORIGIN_GRID1379            1.455e+01  3.435e-02   423.511   <2e-16 ***
ORIGIN_GRID1380            1.834e+01  3.449e-03  5316.961   <2e-16 ***
ORIGIN_GRID1381            1.797e+01  3.982e-03  4513.836   <2e-16 ***
ORIGIN_GRID1382            1.746e+01  6.394e-03  2730.246   <2e-16 ***
ORIGIN_GRID1383            1.494e+01  2.404e-02   621.375   <2e-16 ***
ORIGIN_GRID1388            1.595e+01  6.665e-03  2393.649   <2e-16 ***
ORIGIN_GRID1389            1.506e+01  8.940e-03  1684.356   <2e-16 ***
ORIGIN_GRID1390            1.572e+01  6.798e-03  2313.042   <2e-16 ***
ORIGIN_GRID1391            1.553e+01  8.383e-03  1852.488   <2e-16 ***
ORIGIN_GRID1392            1.528e+01  1.581e-02   966.775   <2e-16 ***
ORIGIN_GRID1393            1.472e+01  1.495e-02   984.258   <2e-16 ***
ORIGIN_GRID1394            1.601e+01  7.609e-03  2103.798   <2e-16 ***
ORIGIN_GRID1395            1.612e+01  7.433e-03  2168.282   <2e-16 ***
ORIGIN_GRID1396            1.717e+01  5.244e-03  3274.513   <2e-16 ***
ORIGIN_GRID1397            1.721e+01  5.355e-03  3214.436   <2e-16 ***
ORIGIN_GRID1398            1.623e+01  1.096e-02  1481.196   <2e-16 ***
ORIGIN_GRID1400            1.752e+01  6.578e-03  2662.762   <2e-16 ***
ORIGIN_GRID1401            1.770e+01  4.202e-03  4211.008   <2e-16 ***
ORIGIN_GRID1402            1.786e+01  4.532e-03  3939.890   <2e-16 ***
ORIGIN_GRID1404            1.731e+01  1.496e-02  1156.788   <2e-16 ***
ORIGIN_GRID1410            1.648e+01  4.639e-03  3551.372   <2e-16 ***
ORIGIN_GRID1411            1.528e+01  8.063e-03  1895.292   <2e-16 ***
ORIGIN_GRID1412            1.572e+01  6.419e-03  2448.603   <2e-16 ***
ORIGIN_GRID1413            1.671e+01  4.994e-03  3345.691   <2e-16 ***
ORIGIN_GRID1414            1.614e+01  6.501e-03  2483.237   <2e-16 ***
ORIGIN_GRID1415            1.562e+01  9.308e-03  1677.702   <2e-16 ***
ORIGIN_GRID1416            1.630e+01  7.133e-03  2284.901   <2e-16 ***
ORIGIN_GRID1417            1.638e+01  6.578e-03  2489.390   <2e-16 ***
ORIGIN_GRID1418            1.720e+01  5.020e-03  3426.014   <2e-16 ***
ORIGIN_GRID1419            1.671e+01  6.672e-03  2504.924   <2e-16 ***
ORIGIN_GRID1422            1.770e+01  5.101e-03  3468.958   <2e-16 ***
ORIGIN_GRID1423            1.800e+01  4.918e-03  3660.464   <2e-16 ***
ORIGIN_GRID1430            1.608e+01  6.007e-03  2677.585   <2e-16 ***
ORIGIN_GRID1431            1.609e+01  5.025e-03  3202.267   <2e-16 ***
ORIGIN_GRID1432            1.615e+01  4.972e-03  3247.814   <2e-16 ***
ORIGIN_GRID1433            1.486e+01  1.587e-02   936.591   <2e-16 ***
ORIGIN_GRID1434            1.653e+01  5.578e-03  2963.367   <2e-16 ***
ORIGIN_GRID1435            1.713e+01  4.310e-03  3974.116   <2e-16 ***
ORIGIN_GRID1436            1.420e+01  2.201e-02   645.076   <2e-16 ***
ORIGIN_GRID1437            1.730e+01  4.559e-03  3794.410   <2e-16 ***
ORIGIN_GRID1438            1.770e+01  3.675e-03  4815.317   <2e-16 ***
ORIGIN_GRID1439            1.834e+01  3.314e-03  5533.643   <2e-16 ***
ORIGIN_GRID1440            1.471e+01  2.015e-02   729.769   <2e-16 ***
ORIGIN_GRID1442            1.733e+01  6.674e-03  2596.261   <2e-16 ***
ORIGIN_GRID1443            1.838e+01  3.863e-03  4757.920   <2e-16 ***
ORIGIN_GRID1444            1.762e+01  7.363e-03  2393.322   <2e-16 ***
ORIGIN_GRID1452            1.523e+01  7.694e-03  1979.454   <2e-16 ***
ORIGIN_GRID1453            1.542e+01  7.487e-03  2059.897   <2e-16 ***
ORIGIN_GRID1454            1.440e+01  1.813e-02   794.043   <2e-16 ***
ORIGIN_GRID1455            1.581e+01  8.169e-03  1935.685   <2e-16 ***
ORIGIN_GRID1456            1.652e+01  6.031e-03  2740.051   <2e-16 ***
ORIGIN_GRID1457            1.741e+01  4.331e-03  4020.038   <2e-16 ***
ORIGIN_GRID1458            1.752e+01  3.999e-03  4381.652   <2e-16 ***
ORIGIN_GRID1459            1.715e+01  4.792e-03  3578.488   <2e-16 ***
ORIGIN_GRID1460            1.646e+01  6.372e-03  2583.751   <2e-16 ***
ORIGIN_GRID1461            1.509e+01  1.664e-02   906.837   <2e-16 ***
ORIGIN_GRID1464            1.864e+01  3.714e-03  5017.812   <2e-16 ***
ORIGIN_GRID1465            1.826e+01  4.808e-03  3797.686   <2e-16 ***
ORIGIN_GRID1472            1.372e+01  1.890e-02   725.767   <2e-16 ***
ORIGIN_GRID1473            1.478e+01  9.718e-03  1520.932   <2e-16 ***
ORIGIN_GRID1474            1.587e+01  5.444e-03  2915.574   <2e-16 ***
ORIGIN_GRID1475            1.694e+01  4.352e-03  3893.064   <2e-16 ***
ORIGIN_GRID1476            1.641e+01  6.291e-03  2608.463   <2e-16 ***
ORIGIN_GRID1477            1.795e+01  3.201e-03  5608.070   <2e-16 ***
ORIGIN_GRID1478            1.639e+01  6.377e-03  2570.197   <2e-16 ***
ORIGIN_GRID1479            1.661e+01  5.826e-03  2850.849   <2e-16 ***
ORIGIN_GRID1480            1.832e+01  3.127e-03  5857.602   <2e-16 ***
ORIGIN_GRID1481            1.590e+01  9.992e-03  1590.900   <2e-16 ***
ORIGIN_GRID1482            1.582e+01  1.259e-02  1257.219   <2e-16 ***
ORIGIN_GRID1485            1.804e+01  4.936e-03  3654.469   <2e-16 ***
ORIGIN_GRID1494            1.500e+01  1.160e-02  1293.651   <2e-16 ***
ORIGIN_GRID1495            1.514e+01  7.790e-03  1943.132   <2e-16 ***
ORIGIN_GRID1496            1.633e+01  4.714e-03  3463.548   <2e-16 ***
ORIGIN_GRID1497            1.670e+01  5.223e-03  3196.381   <2e-16 ***
ORIGIN_GRID1498            1.726e+01  4.241e-03  4070.632   <2e-16 ***
ORIGIN_GRID1499            1.756e+01  3.847e-03  4565.936   <2e-16 ***
ORIGIN_GRID1500            1.748e+01  5.374e-03  3253.418   <2e-16 ***
ORIGIN_GRID1501            1.765e+01  3.896e-03  4529.986   <2e-16 ***
ORIGIN_GRID1502            1.730e+01  4.729e-03  3658.884   <2e-16 ***
ORIGIN_GRID1506            1.299e+01  1.085e-01   119.771   <2e-16 ***
ORIGIN_GRID1515            1.400e+01  2.110e-02   663.382   <2e-16 ***
ORIGIN_GRID1516            1.562e+01  6.574e-03  2375.704   <2e-16 ***
ORIGIN_GRID1517            1.588e+01  6.763e-03  2348.284   <2e-16 ***
ORIGIN_GRID1518            1.621e+01  7.281e-03  2226.143   <2e-16 ***
ORIGIN_GRID1519            1.768e+01  4.860e-03  3638.191   <2e-16 ***
ORIGIN_GRID1520            1.705e+01  5.002e-03  3409.304   <2e-16 ***
ORIGIN_GRID1521            1.556e+01  1.091e-02  1425.679   <2e-16 ***
ORIGIN_GRID1522            1.792e+01  3.661e-03  4896.595   <2e-16 ***
ORIGIN_GRID1523            1.626e+01  1.489e-02  1091.766   <2e-16 ***
ORIGIN_GRID1524            1.654e+01  9.145e-03  1808.944   <2e-16 ***
ORIGIN_GRID1527            1.601e+01  1.588e-02  1008.626   <2e-16 ***
ORIGIN_GRID1535            1.286e+01  7.201e-02   178.603   <2e-16 ***
ORIGIN_GRID1536            1.323e+01  3.215e-02   411.404   <2e-16 ***
ORIGIN_GRID1537            1.425e+01  1.553e-02   917.636   <2e-16 ***
ORIGIN_GRID1538            1.587e+01  6.070e-03  2613.746   <2e-16 ***
ORIGIN_GRID1539            1.644e+01  5.120e-03  3211.414   <2e-16 ***
ORIGIN_GRID1540            1.718e+01  4.437e-03  3871.454   <2e-16 ***
ORIGIN_GRID1541            1.852e+01  4.771e-03  3881.543   <2e-16 ***
ORIGIN_GRID1542            1.554e+01  1.407e-02  1104.477   <2e-16 ***
ORIGIN_GRID1543            1.579e+01  1.952e-02   808.819   <2e-16 ***
ORIGIN_GRID1544            1.719e+01  6.399e-03  2686.239   <2e-16 ***
ORIGIN_GRID1547            1.341e+01  5.758e-02   232.829   <2e-16 ***
ORIGIN_GRID1556            1.387e+01  5.318e-02   260.841   <2e-16 ***
ORIGIN_GRID1557            1.338e+01  3.078e-02   434.511   <2e-16 ***
ORIGIN_GRID1558            1.463e+01  1.759e-02   831.596   <2e-16 ***
ORIGIN_GRID1559            1.655e+01  4.808e-03  3441.837   <2e-16 ***
ORIGIN_GRID1560            1.751e+01  3.755e-03  4662.193   <2e-16 ***
ORIGIN_GRID1561            1.772e+01  4.636e-03  3822.983   <2e-16 ***
ORIGIN_GRID1562            1.465e+01  1.887e-02   776.676   <2e-16 ***
ORIGIN_GRID1563            1.628e+01  7.113e-03  2287.982   <2e-16 ***
ORIGIN_GRID1564            1.547e+01  1.266e-02  1221.984   <2e-16 ***
ORIGIN_GRID1565            1.549e+01  1.330e-02  1164.542   <2e-16 ***
ORIGIN_GRID1566            1.503e+01  1.912e-02   786.036   <2e-16 ***
ORIGIN_GRID1567            1.307e+01  7.650e-02   170.833   <2e-16 ***
ORIGIN_GRID1568            1.349e+01  6.034e-02   223.557   <2e-16 ***
ORIGIN_GRID1578            1.126e+01  7.071e-01    15.925   <2e-16 ***
ORIGIN_GRID1580            1.517e+01  1.478e-02  1026.032   <2e-16 ***
ORIGIN_GRID1581            1.391e+01  1.958e-02   710.434   <2e-16 ***
ORIGIN_GRID1582            1.733e+01  3.953e-03  4382.759   <2e-16 ***
ORIGIN_GRID1583            1.595e+01  1.965e-02   811.743   <2e-16 ***
ORIGIN_GRID1584            1.602e+01  9.754e-03  1642.654   <2e-16 ***
ORIGIN_GRID1585            1.641e+01  8.664e-03  1894.359   <2e-16 ***
ORIGIN_GRID1586            1.553e+01  1.200e-02  1293.995   <2e-16 ***
ORIGIN_GRID1589            1.383e+01  3.904e-02   354.256   <2e-16 ***
ORIGIN_GRID1590            1.369e+01  5.749e-02   238.165   <2e-16 ***
ORIGIN_GRID1600            1.720e+01  9.081e-03  1893.704   <2e-16 ***
ORIGIN_GRID1601            1.575e+01  7.237e-03  2176.379   <2e-16 ***
ORIGIN_GRID1602            1.671e+01  5.920e-03  2822.931   <2e-16 ***
ORIGIN_GRID1603            1.761e+01  4.006e-03  4395.126   <2e-16 ***
ORIGIN_GRID1604            1.606e+01  7.539e-03  2130.576   <2e-16 ***
ORIGIN_GRID1605            1.736e+01  4.285e-03  4051.812   <2e-16 ***
ORIGIN_GRID1606            1.701e+01  8.792e-03  1934.725   <2e-16 ***
ORIGIN_GRID1607            1.605e+01  9.170e-03  1750.190   <2e-16 ***
ORIGIN_GRID1608            1.774e+01  4.463e-03  3976.400   <2e-16 ***
ORIGIN_GRID1609            1.749e+01  5.454e-03  3207.693   <2e-16 ***
ORIGIN_GRID1610            1.389e+01  5.959e-02   233.073   <2e-16 ***
ORIGIN_GRID1622            1.582e+01  1.973e-02   801.965   <2e-16 ***
ORIGIN_GRID1623            1.715e+01  4.125e-03  4157.437   <2e-16 ***
ORIGIN_GRID1624            1.604e+01  7.936e-03  2021.714   <2e-16 ***
ORIGIN_GRID1625            1.741e+01  4.589e-03  3794.064   <2e-16 ***
ORIGIN_GRID1626            1.792e+01  3.513e-03  5100.460   <2e-16 ***
ORIGIN_GRID1627            1.635e+01  6.819e-03  2397.421   <2e-16 ***
ORIGIN_GRID1628            1.806e+01  3.611e-03  5002.811   <2e-16 ***
ORIGIN_GRID1629            1.688e+01  6.707e-03  2516.662   <2e-16 ***
ORIGIN_GRID1630            1.677e+01  7.548e-03  2222.063   <2e-16 ***
ORIGIN_GRID1631            1.325e+01  5.876e-02   225.425   <2e-16 ***
ORIGIN_GRID1642            1.485e+01  2.703e-02   549.445   <2e-16 ***
ORIGIN_GRID1643            1.701e+01  4.443e-03  3827.856   <2e-16 ***
ORIGIN_GRID1644            1.502e+01  1.580e-02   950.131   <2e-16 ***
ORIGIN_GRID1645            1.662e+01  5.943e-03  2796.661   <2e-16 ***
ORIGIN_GRID1646            1.651e+01  8.382e-03  1969.337   <2e-16 ***
ORIGIN_GRID1647            1.670e+01  5.585e-03  2989.821   <2e-16 ***
ORIGIN_GRID1648            1.722e+01  4.778e-03  3604.224   <2e-16 ***
ORIGIN_GRID1649            1.790e+01  3.835e-03  4666.935   <2e-16 ***
ORIGIN_GRID1650            1.763e+01  5.193e-03  3394.007   <2e-16 ***
ORIGIN_GRID1664            1.198e+01  1.667e-01    71.876   <2e-16 ***
ORIGIN_GRID1665            1.729e+01  4.057e-03  4261.566   <2e-16 ***
ORIGIN_GRID1666            1.608e+01  6.802e-03  2363.466   <2e-16 ***
ORIGIN_GRID1667            1.727e+01  9.766e-03  1768.404   <2e-16 ***
ORIGIN_GRID1668            1.724e+01  4.675e-03  3687.904   <2e-16 ***
ORIGIN_GRID1670            1.806e+01  3.595e-03  5024.471   <2e-16 ***
ORIGIN_GRID1671            1.853e+01  5.102e-03  3632.542   <2e-16 ***
ORIGIN_GRID1672            1.766e+01  5.700e-03  3098.430   <2e-16 ***
ORIGIN_GRID1684            1.644e+01  1.170e-02  1405.634   <2e-16 ***
ORIGIN_GRID1685            1.688e+01  5.289e-03  3190.418   <2e-16 ***
ORIGIN_GRID1686            1.670e+01  5.305e-03  3147.933   <2e-16 ***
ORIGIN_GRID1687            1.662e+01  7.169e-03  2317.698   <2e-16 ***
ORIGIN_GRID1688            1.602e+01  8.163e-03  1961.997   <2e-16 ***
ORIGIN_GRID1689            1.548e+01  1.187e-02  1304.165   <2e-16 ***
ORIGIN_GRID1690            1.698e+01  6.411e-03  2648.607   <2e-16 ***
ORIGIN_GRID1691            1.759e+01  4.455e-03  3948.969   <2e-16 ***
ORIGIN_GRID1692            1.677e+01  7.889e-03  2125.464   <2e-16 ***
ORIGIN_GRID1706            1.682e+01  6.127e-03  2746.158   <2e-16 ***
ORIGIN_GRID1707            1.672e+01  5.013e-03  3334.771   <2e-16 ***
ORIGIN_GRID1708            1.737e+01  4.163e-03  4173.129   <2e-16 ***
ORIGIN_GRID1709            1.644e+01  6.559e-03  2506.143   <2e-16 ***
ORIGIN_GRID1710            1.764e+01  4.262e-03  4140.152   <2e-16 ***
ORIGIN_GRID1711            1.735e+01  4.940e-03  3512.270   <2e-16 ***
ORIGIN_GRID1712            1.798e+01  3.560e-03  5048.552   <2e-16 ***
ORIGIN_GRID1713            1.546e+01  1.228e-02  1258.802   <2e-16 ***
ORIGIN_GRID1714            1.785e+01  4.651e-03  3838.112   <2e-16 ***
ORIGIN_GRID1727            1.697e+01  5.229e-03  3245.565   <2e-16 ***
ORIGIN_GRID1728            1.694e+01  4.818e-03  3515.467   <2e-16 ***
ORIGIN_GRID1729            1.660e+01  5.616e-03  2955.013   <2e-16 ***
ORIGIN_GRID1730            1.475e+01  2.000e-02   737.219   <2e-16 ***
ORIGIN_GRID1731            1.707e+01  5.448e-03  3133.868   <2e-16 ***
ORIGIN_GRID1732            1.770e+01  3.834e-03  4617.405   <2e-16 ***
ORIGIN_GRID1733            1.735e+01  4.583e-03  3785.468   <2e-16 ***
ORIGIN_GRID1734            1.751e+01  4.383e-03  3995.516   <2e-16 ***
ORIGIN_GRID1735            1.854e+01  5.777e-03  3209.421   <2e-16 ***
ORIGIN_GRID1748            1.585e+01  9.251e-03  1713.795   <2e-16 ***
ORIGIN_GRID1749            1.675e+01  5.077e-03  3299.873   <2e-16 ***
ORIGIN_GRID1750            1.596e+01  7.209e-03  2213.654   <2e-16 ***
ORIGIN_GRID1751            1.575e+01  1.049e-02  1500.775   <2e-16 ***
ORIGIN_GRID1753            1.775e+01  4.025e-03  4409.621   <2e-16 ***
ORIGIN_GRID1754            1.797e+01  3.582e-03  5015.794   <2e-16 ***
ORIGIN_GRID1755            1.736e+01  4.519e-03  3840.130   <2e-16 ***
ORIGIN_GRID1756            1.720e+01  5.320e-03  3233.683   <2e-16 ***
ORIGIN_GRID1757            1.507e+01  2.443e-02   616.893   <2e-16 ***
ORIGIN_GRID1769            1.665e+01  5.763e-03  2888.897   <2e-16 ***
ORIGIN_GRID1770            1.686e+01  8.348e-03  2019.607   <2e-16 ***
ORIGIN_GRID1771            1.566e+01  9.896e-03  1582.794   <2e-16 ***
ORIGIN_GRID1772            1.529e+01  2.329e-02   656.413   <2e-16 ***
ORIGIN_GRID1774            1.741e+01  4.429e-03  3929.502   <2e-16 ***
ORIGIN_GRID1775            1.692e+01  5.487e-03  3084.693   <2e-16 ***
ORIGIN_GRID1776            1.793e+01  3.631e-03  4938.642   <2e-16 ***
ORIGIN_GRID1777            1.793e+01  4.048e-03  4428.220   <2e-16 ***
ORIGIN_GRID1778            1.680e+01  1.079e-02  1557.546   <2e-16 ***
ORIGIN_GRID1790            1.727e+01  4.939e-03  3497.304   <2e-16 ***
ORIGIN_GRID1791            1.657e+01  6.351e-03  2608.753   <2e-16 ***
ORIGIN_GRID1792            1.678e+01  6.439e-03  2605.808   <2e-16 ***
ORIGIN_GRID1793            1.511e+01  1.334e-02  1132.871   <2e-16 ***
ORIGIN_GRID1794            1.544e+01  2.730e-02   565.644   <2e-16 ***
ORIGIN_GRID1795            1.418e+01  3.276e-02   432.721   <2e-16 ***
ORIGIN_GRID1796            1.776e+01  4.341e-03  4091.813   <2e-16 ***
ORIGIN_GRID1797            1.767e+01  4.055e-03  4356.406   <2e-16 ***
ORIGIN_GRID1798            1.777e+01  4.047e-03  4390.896   <2e-16 ***
ORIGIN_GRID1799            1.677e+01  7.562e-03  2217.630   <2e-16 ***
ORIGIN_GRID1800            1.540e+01  2.687e-02   573.070   <2e-16 ***
ORIGIN_GRID1811            1.637e+01  7.243e-03  2260.099   <2e-16 ***
ORIGIN_GRID1812            1.758e+01  3.807e-03  4617.574   <2e-16 ***
ORIGIN_GRID1813            1.752e+01  4.059e-03  4317.023   <2e-16 ***
ORIGIN_GRID1817            1.742e+01  5.314e-03  3277.528   <2e-16 ***
ORIGIN_GRID1818            1.749e+01  4.458e-03  3921.956   <2e-16 ***
ORIGIN_GRID1819            1.780e+01  3.857e-03  4615.370   <2e-16 ***
ORIGIN_GRID1820            1.461e+01  3.282e-02   445.080   <2e-16 ***
ORIGIN_GRID1832            1.711e+01  5.335e-03  3207.391   <2e-16 ***
ORIGIN_GRID1833            1.661e+01  5.952e-03  2790.777   <2e-16 ***
ORIGIN_GRID1834            1.715e+01  4.671e-03  3672.412   <2e-16 ***
ORIGIN_GRID1835            1.651e+01  7.352e-03  2245.264   <2e-16 ***
ORIGIN_GRID1837            1.406e+01  6.078e-02   231.347   <2e-16 ***
ORIGIN_GRID1839            1.690e+01  6.619e-03  2553.159   <2e-16 ***
ORIGIN_GRID1840            1.866e+01  3.061e-03  6097.315   <2e-16 ***
ORIGIN_GRID1841            1.421e+01  3.436e-02   413.641   <2e-16 ***
ORIGIN_GRID1842            1.755e+01  1.043e-02  1683.053   <2e-16 ***
ORIGIN_GRID1853            1.699e+01  5.058e-03  3358.578   <2e-16 ***
ORIGIN_GRID1854            1.733e+01  4.743e-03  3654.404   <2e-16 ***
ORIGIN_GRID1855            1.766e+01  4.282e-03  4123.893   <2e-16 ***
ORIGIN_GRID1858            1.535e+01  2.526e-02   607.816   <2e-16 ***
ORIGIN_GRID1860            1.782e+01  8.206e-03  2171.991   <2e-16 ***
ORIGIN_GRID1861            1.766e+01  4.604e-03  3836.229   <2e-16 ***
ORIGIN_GRID1874            1.720e+01  5.989e-03  2872.862   <2e-16 ***
ORIGIN_GRID1875            1.562e+01  1.232e-02  1267.867   <2e-16 ***
ORIGIN_GRID1876            1.749e+01  9.665e-03  1809.304   <2e-16 ***
ORIGIN_GRID1877            1.731e+01  4.873e-03  3552.084   <2e-16 ***
ORIGIN_GRID1880            1.403e+01  5.062e-02   277.175   <2e-16 ***
ORIGIN_GRID1882            1.757e+01  4.981e-03  3527.052   <2e-16 ***
ORIGIN_GRID1883            1.738e+01  8.599e-03  2021.020   <2e-16 ***
ORIGIN_GRID1895            1.727e+01  4.813e-03  3587.108   <2e-16 ***
ORIGIN_GRID1896            1.575e+01  9.720e-03  1620.912   <2e-16 ***
ORIGIN_GRID1897            1.664e+01  8.712e-03  1910.400   <2e-16 ***
ORIGIN_GRID1898            1.209e+01  1.325e-01    91.278   <2e-16 ***
ORIGIN_GRID1901            1.405e+01  5.887e-02   238.606   <2e-16 ***
ORIGIN_GRID1903            1.670e+01  8.659e-03  1929.085   <2e-16 ***
ORIGIN_GRID1917            1.599e+01  8.996e-03  1777.236   <2e-16 ***
ORIGIN_GRID1918            1.775e+01  5.669e-03  3130.751   <2e-16 ***
ORIGIN_GRID1919            1.727e+01  5.198e-03  3322.400   <2e-16 ***
ORIGIN_GRID1922            1.519e+01  2.822e-02   538.250   <2e-16 ***
ORIGIN_GRID1924            1.678e+01  9.148e-03  1834.800   <2e-16 ***
ORIGIN_GRID1937            1.669e+01  6.761e-03  2467.911   <2e-16 ***
ORIGIN_GRID1938            1.749e+01  4.542e-03  3851.391   <2e-16 ***
ORIGIN_GRID1939            1.815e+01  4.093e-03  4434.740   <2e-16 ***
ORIGIN_GRID1942            1.400e+01  4.693e-02   298.228   <2e-16 ***
ORIGIN_GRID1959            1.633e+01  8.460e-03  1930.100   <2e-16 ***
ORIGIN_GRID1960            1.832e+01  3.170e-03  5778.828   <2e-16 ***
ORIGIN_GRID1961            1.703e+01  6.779e-03  2512.459   <2e-16 ***
ORIGIN_GRID1962            1.794e+01  4.449e-03  4032.137   <2e-16 ***
ORIGIN_GRID1964            1.301e+01  8.807e-02   147.683   <2e-16 ***
ORIGIN_GRID1979            1.663e+01  7.751e-03  2145.196   <2e-16 ***
ORIGIN_GRID1980            1.513e+01  1.355e-02  1116.570   <2e-16 ***
ORIGIN_GRID1981            1.765e+01  4.398e-03  4012.400   <2e-16 ***
ORIGIN_GRID1982            1.657e+01  1.067e-02  1552.612   <2e-16 ***
ORIGIN_GRID1983            1.800e+01  4.428e-03  4063.656   <2e-16 ***
ORIGIN_GRID1984            1.676e+01  7.371e-03  2273.961   <2e-16 ***
ORIGIN_GRID1985            1.723e+01  6.261e-03  2752.570   <2e-16 ***
ORIGIN_GRID2001            1.692e+01  5.864e-03  2886.151   <2e-16 ***
ORIGIN_GRID2002            1.768e+01  3.947e-03  4479.758   <2e-16 ***
ORIGIN_GRID2003            1.730e+01  5.115e-03  3381.525   <2e-16 ***
ORIGIN_GRID2004            1.807e+01  4.214e-03  4288.600   <2e-16 ***
ORIGIN_GRID2005            1.792e+01  4.252e-03  4214.381   <2e-16 ***
ORIGIN_GRID2006            1.645e+01  9.098e-03  1808.566   <2e-16 ***
ORIGIN_GRID2007            1.586e+01  1.574e-02  1007.331   <2e-16 ***
ORIGIN_GRID2022            1.753e+01  5.752e-03  3047.919   <2e-16 ***
ORIGIN_GRID2023            1.794e+01  3.844e-03  4666.716   <2e-16 ***
ORIGIN_GRID2024            1.732e+01  4.800e-03  3607.677   <2e-16 ***
ORIGIN_GRID2025            1.749e+01  4.646e-03  3764.719   <2e-16 ***
ORIGIN_GRID2026            1.605e+01  1.143e-02  1403.828   <2e-16 ***
ORIGIN_GRID2027            1.812e+01  4.121e-03  4398.356   <2e-16 ***
ORIGIN_GRID2043            1.669e+01  7.519e-03  2220.084   <2e-16 ***
ORIGIN_GRID2044            1.761e+01  4.322e-03  4075.256   <2e-16 ***
ORIGIN_GRID2045            1.342e+01  7.436e-02   180.468   <2e-16 ***
ORIGIN_GRID2046            1.757e+01  4.004e-03  4388.223   <2e-16 ***
ORIGIN_GRID2047            1.752e+01  5.100e-03  3434.834   <2e-16 ***
ORIGIN_GRID2048            1.768e+01  4.671e-03  3785.235   <2e-16 ***
ORIGIN_GRID2049            1.667e+01  1.355e-02  1230.994   <2e-16 ***
ORIGIN_GRID2064            1.756e+01  4.865e-03  3608.784   <2e-16 ***
ORIGIN_GRID2065            1.617e+01  8.226e-03  1965.271   <2e-16 ***
ORIGIN_GRID2066            1.594e+01  2.049e-02   777.995   <2e-16 ***
ORIGIN_GRID2067            1.866e+01  3.003e-03  6213.740   <2e-16 ***
ORIGIN_GRID2068            1.761e+01  6.735e-03  2614.223   <2e-16 ***
ORIGIN_GRID2069            1.750e+01  5.473e-03  3197.203   <2e-16 ***
ORIGIN_GRID2085            1.629e+01  9.249e-03  1761.461   <2e-16 ***
ORIGIN_GRID2086            1.779e+01  4.140e-03  4297.788   <2e-16 ***
ORIGIN_GRID2087            1.655e+01  7.110e-03  2327.632   <2e-16 ***
ORIGIN_GRID2088            1.726e+01  4.597e-03  3754.011   <2e-16 ***
ORIGIN_GRID2089            1.695e+01  6.430e-03  2636.188   <2e-16 ***
ORIGIN_GRID2090            1.820e+01  3.639e-03  5000.944   <2e-16 ***
ORIGIN_GRID2091            1.407e+01  6.792e-02   207.107   <2e-16 ***
ORIGIN_GRID2105            1.397e+01  1.010e-01   138.261   <2e-16 ***
ORIGIN_GRID2106            1.483e+01  1.867e-02   794.221   <2e-16 ***
ORIGIN_GRID2107            1.590e+01  9.111e-03  1744.736   <2e-16 ***
ORIGIN_GRID2108            1.724e+01  5.387e-03  3199.510   <2e-16 ***
ORIGIN_GRID2109            1.742e+01  4.536e-03  3840.413   <2e-16 ***
ORIGIN_GRID2110            1.692e+01  7.140e-03  2370.180   <2e-16 ***
ORIGIN_GRID2111            1.471e+01  3.922e-02   375.180   <2e-16 ***
ORIGIN_GRID2128            1.587e+01  1.287e-02  1233.575   <2e-16 ***
ORIGIN_GRID2129            1.524e+01  1.438e-02  1059.241   <2e-16 ***
ORIGIN_GRID2130            1.769e+01  4.001e-03  4419.787   <2e-16 ***
ORIGIN_GRID2131            1.801e+01  4.474e-03  4024.420   <2e-16 ***
ORIGIN_GRID2132            1.714e+01  5.932e-03  2889.952   <2e-16 ***
ORIGIN_GRID2148            1.656e+01  1.091e-02  1518.328   <2e-16 ***
ORIGIN_GRID2149            1.511e+01  1.535e-02   984.483   <2e-16 ***
ORIGIN_GRID2150            1.760e+01  4.555e-03  3864.967   <2e-16 ***
ORIGIN_GRID2151            1.808e+01  3.613e-03  5003.439   <2e-16 ***
ORIGIN_GRID2152            1.820e+01  3.891e-03  4678.100   <2e-16 ***
ORIGIN_GRID2153            1.765e+01  5.543e-03  3184.576   <2e-16 ***
ORIGIN_GRID2171            1.661e+01  6.940e-03  2393.433   <2e-16 ***
ORIGIN_GRID2172            1.690e+01  7.656e-03  2207.375   <2e-16 ***
ORIGIN_GRID2173            1.719e+01  5.188e-03  3312.637   <2e-16 ***
ORIGIN_GRID2174            1.759e+01  5.173e-03  3400.585   <2e-16 ***
ORIGIN_GRID2191            1.634e+01  9.924e-03  1646.494   <2e-16 ***
ORIGIN_GRID2192            1.596e+01  1.067e-02  1496.006   <2e-16 ***
ORIGIN_GRID2193            1.708e+01  5.929e-03  2880.597   <2e-16 ***
ORIGIN_GRID2194            1.741e+01  5.076e-03  3429.166   <2e-16 ***
ORIGIN_GRID2195            1.670e+01  1.986e-02   841.148   <2e-16 ***
ORIGIN_GRID2212            1.423e+01  7.984e-02   178.225   <2e-16 ***
ORIGIN_GRID2213            1.368e+01  3.804e-02   359.639   <2e-16 ***
ORIGIN_GRID2214            1.528e+01  2.410e-02   634.162   <2e-16 ***
ORIGIN_GRID2215            1.711e+01  6.504e-03  2630.790   <2e-16 ***
ORIGIN_GRID2216            1.617e+01  1.055e-02  1532.409   <2e-16 ***
ORIGIN_GRID2233            1.416e+01  3.872e-02   365.685   <2e-16 ***
ORIGIN_GRID2234            1.620e+01  1.930e-02   839.236   <2e-16 ***
ORIGIN_GRID2235            1.597e+01  1.278e-02  1250.353   <2e-16 ***
ORIGIN_GRID2236            1.597e+01  1.253e-02  1274.803   <2e-16 ***
ORIGIN_GRID2237            1.379e+01  5.342e-02   258.149   <2e-16 ***
ORIGIN_GRID2256            1.408e+01  5.017e-02   280.719   <2e-16 ***
ORIGIN_GRID2257            1.554e+01  1.831e-02   848.801   <2e-16 ***
ORIGIN_GRID2258            1.501e+01  1.747e-02   859.164   <2e-16 ***
ORIGIN_GRID2259            1.489e+01  3.507e-02   424.600   <2e-16 ***
ORIGIN_GRID2277            1.518e+01  3.919e-02   387.210   <2e-16 ***
ORIGIN_GRID2278            1.613e+01  1.485e-02  1086.023   <2e-16 ***
ORIGIN_GRID2279            1.513e+01  1.895e-02   798.572   <2e-16 ***
ORIGIN_GRID2280            1.320e+01  1.005e-01   131.351   <2e-16 ***
ORIGIN_GRID2297            1.742e+01  8.824e-03  1974.229   <2e-16 ***
ORIGIN_GRID2300            1.358e+01  5.948e-02   228.274   <2e-16 ***
ORIGIN_GRID2301            1.533e+01  1.817e-02   843.707   <2e-16 ***
ORIGIN_GRID2318            1.580e+01  1.813e-02   871.496   <2e-16 ***
ORIGIN_GRID2319            1.686e+01  9.980e-03  1689.700   <2e-16 ***
ORIGIN_GRID2322            1.635e+01  1.196e-02  1367.000   <2e-16 ***
ORIGIN_GRID2337            1.744e+01  1.515e-02  1151.522   <2e-16 ***
ORIGIN_GRID2341            1.719e+01  8.952e-03  1919.647   <2e-16 ***
ORIGIN_GRID2343            1.596e+01  1.394e-02  1145.202   <2e-16 ***
ORIGIN_GRID2361            1.687e+01  1.046e-02  1613.174   <2e-16 ***
ORIGIN_GRID2364            1.347e+01  6.445e-02   209.022   <2e-16 ***
ORIGIN_GRID2379            1.716e+01  1.706e-02  1005.807   <2e-16 ***
ORIGIN_GRID2384            1.654e+01  1.438e-02  1150.324   <2e-16 ***
ORIGIN_GRID2405            1.629e+01  1.422e-02  1146.018   <2e-16 ***
ORIGIN_GRID2406            1.485e+01  3.313e-02   448.297   <2e-16 ***
ORIGIN_GRID2426            1.658e+01  2.626e-02   631.175   <2e-16 ***
ORIGIN_GRID2427            1.721e+01  1.044e-02  1647.422   <2e-16 ***
ORIGIN_GRID2505            1.669e+01  3.630e-02   459.841   <2e-16 ***
log(DESTIN_BS_COUNT)       1.925e-01  4.743e-04   405.787   <2e-16 ***
log(DESTIN_BIZ_COUNT)      6.171e-02  1.876e-04   328.912   <2e-16 ***
log(DESTIN_FINSERV_COUNT)  2.402e-01  2.515e-04   955.152   <2e-16 ***
log(DESTIN_MRTEXIT_COUNT)  4.264e-01  3.938e-04  1082.785   <2e-16 ***
log(DESTIN_SCHOOLS_COUNT)  1.984e-01  7.021e-04   282.621   <2e-16 ***
log(DESTIN_DWELLINGS)     -1.408e-02  7.657e-05  -183.818   <2e-16 ***
log(DISTANCE)             -1.522e+00  2.672e-04 -5695.799   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 327461307  on 65105  degrees of freedom
Residual deviance:  34499445  on 64284  degrees of freedom
AIC: 34859084

Number of Fisher Scoring iterations: 7
decSIM_Poisson2 <- glm(formula = TRIPS ~ 
                DESTIN_GRID + 
                  log(ORIGIN_BS_COUNT) +
                log(ORIGIN_BIZ_COUNT) +
                  log(ORIGIN_FINSERV_COUNT) +
                  log(ORIGIN_MRTEXIT_COUNT) +
                  log(ORIGIN_SCHOOLS_COUNT) +
                  log(ORIGIN_DWELLINGS ) + 
                log(DISTANCE) - 1,
              family = poisson(link = "log"),
              data = SIM_data1,
              na.action = na.exclude)
summary(decSIM_Poisson2)

Call:
glm(formula = TRIPS ~ DESTIN_GRID + log(ORIGIN_BS_COUNT) + log(ORIGIN_BIZ_COUNT) + 
    log(ORIGIN_FINSERV_COUNT) + log(ORIGIN_MRTEXIT_COUNT) + log(ORIGIN_SCHOOLS_COUNT) + 
    log(ORIGIN_DWELLINGS) + log(DISTANCE) - 1, family = poisson(link = "log"), 
    data = SIM_data1, na.action = na.exclude)

Coefficients:
                            Estimate Std. Error  z value Pr(>|z|)    
DESTIN_GRID23              1.585e+01  4.598e-02   344.66   <2e-16 ***
DESTIN_GRID44              1.815e+01  2.117e-02   857.12   <2e-16 ***
DESTIN_GRID46              1.727e+01  1.989e-02   868.29   <2e-16 ***
DESTIN_GRID66              1.642e+01  4.350e-02   377.51   <2e-16 ***
DESTIN_GRID67              1.697e+01  1.307e-02  1299.08   <2e-16 ***
DESTIN_GRID68              1.714e+01  1.910e-02   897.14   <2e-16 ***
DESTIN_GRID86              1.573e+01  3.447e-02   456.20   <2e-16 ***
DESTIN_GRID87              1.434e+01  8.706e-02   164.71   <2e-16 ***
DESTIN_GRID88              1.617e+01  1.674e-02   965.40   <2e-16 ***
DESTIN_GRID89              1.659e+01  2.140e-02   775.29   <2e-16 ***
DESTIN_GRID90              1.323e+01  5.000e-01    26.45   <2e-16 ***
DESTIN_GRID109             1.627e+01  2.540e-02   640.46   <2e-16 ***
DESTIN_GRID110             1.403e+01  1.005e-01   139.52   <2e-16 ***
DESTIN_GRID111             1.714e+01  1.130e-02  1516.72   <2e-16 ***
DESTIN_GRID112             1.485e+01  3.005e-02   494.11   <2e-16 ***
DESTIN_GRID128             1.661e+01  2.205e-02   753.43   <2e-16 ***
DESTIN_GRID129             1.354e+01  1.125e-01   120.36   <2e-16 ***
DESTIN_GRID130             1.616e+01  2.184e-02   740.05   <2e-16 ***
DESTIN_GRID131             1.545e+01  2.439e-02   633.45   <2e-16 ***
DESTIN_GRID132             1.665e+01  1.482e-02  1123.84   <2e-16 ***
DESTIN_GRID133             1.622e+01  1.241e-02  1307.18   <2e-16 ***
DESTIN_GRID134             1.641e+01  1.172e-02  1399.71   <2e-16 ***
DESTIN_GRID150             1.653e+01  2.506e-02   659.80   <2e-16 ***
DESTIN_GRID151             1.614e+01  2.121e-02   761.09   <2e-16 ***
DESTIN_GRID152             1.741e+01  1.346e-02  1293.00   <2e-16 ***
DESTIN_GRID153             1.683e+01  1.265e-02  1330.57   <2e-16 ***
DESTIN_GRID154             1.491e+01  2.660e-02   560.75   <2e-16 ***
DESTIN_GRID155             1.558e+01  1.719e-02   906.81   <2e-16 ***
DESTIN_GRID156             1.623e+01  1.849e-02   877.91   <2e-16 ***
DESTIN_GRID172             1.473e+01  4.429e-02   332.63   <2e-16 ***
DESTIN_GRID174             1.641e+01  1.440e-02  1139.24   <2e-16 ***
DESTIN_GRID175             1.637e+01  1.044e-02  1567.77   <2e-16 ***
DESTIN_GRID176             1.492e+01  2.684e-02   555.69   <2e-16 ***
DESTIN_GRID195             1.524e+01  2.979e-02   511.54   <2e-16 ***
DESTIN_GRID196             1.652e+01  1.017e-02  1624.42   <2e-16 ***
DESTIN_GRID197             1.388e+01  8.641e-02   160.68   <2e-16 ***
DESTIN_GRID215             1.626e+01  2.749e-02   591.24   <2e-16 ***
DESTIN_GRID216             1.575e+01  1.582e-02   995.35   <2e-16 ***
DESTIN_GRID217             1.698e+01  9.038e-03  1878.63   <2e-16 ***
DESTIN_GRID237             1.565e+01  2.851e-02   548.98   <2e-16 ***
DESTIN_GRID238             1.588e+01  1.476e-02  1075.43   <2e-16 ***
DESTIN_GRID239             1.582e+01  2.962e-02   534.08   <2e-16 ***
DESTIN_GRID257             1.657e+01  1.485e-02  1116.50   <2e-16 ***
DESTIN_GRID258             1.533e+01  1.937e-02   791.35   <2e-16 ***
DESTIN_GRID259             1.668e+01  1.209e-02  1379.62   <2e-16 ***
DESTIN_GRID278             1.656e+01  1.531e-02  1081.57   <2e-16 ***
DESTIN_GRID279             1.613e+01  1.265e-02  1274.90   <2e-16 ***
DESTIN_GRID280             1.665e+01  1.211e-02  1374.38   <2e-16 ***
DESTIN_GRID298             1.347e+01  1.325e-01   101.70   <2e-16 ***
DESTIN_GRID299             1.640e+01  1.622e-02  1011.14   <2e-16 ***
DESTIN_GRID300             1.565e+01  1.683e-02   929.91   <2e-16 ***
DESTIN_GRID320             1.663e+01  1.319e-02  1260.90   <2e-16 ***
DESTIN_GRID321             1.573e+01  2.283e-02   688.80   <2e-16 ***
DESTIN_GRID322             1.745e+01  1.161e-02  1503.80   <2e-16 ***
DESTIN_GRID340             1.791e+01  1.093e-02  1637.85   <2e-16 ***
DESTIN_GRID341             1.669e+01  1.182e-02  1411.35   <2e-16 ***
DESTIN_GRID342             1.707e+01  1.017e-02  1679.55   <2e-16 ***
DESTIN_GRID363             1.666e+01  1.334e-02  1248.86   <2e-16 ***
DESTIN_GRID364             1.796e+01  7.634e-03  2352.78   <2e-16 ***
DESTIN_GRID383             1.689e+01  8.835e-03  1911.74   <2e-16 ***
DESTIN_GRID384             1.720e+01  8.260e-03  2082.59   <2e-16 ***
DESTIN_GRID385             1.679e+01  1.488e-02  1128.98   <2e-16 ***
DESTIN_GRID404             1.720e+01  1.482e-02  1160.26   <2e-16 ***
DESTIN_GRID405             1.721e+01  1.022e-02  1683.35   <2e-16 ***
DESTIN_GRID406             1.689e+01  5.272e-03  3204.64   <2e-16 ***
DESTIN_GRID407             1.693e+01  8.531e-03  1984.84   <2e-16 ***
DESTIN_GRID408             1.798e+01  4.732e-03  3798.95   <2e-16 ***
DESTIN_GRID425             1.553e+01  2.369e-02   655.46   <2e-16 ***
DESTIN_GRID426             1.657e+01  1.035e-02  1601.54   <2e-16 ***
DESTIN_GRID427             1.384e+01  2.317e-02   597.21   <2e-16 ***
DESTIN_GRID428             1.591e+01  1.043e-02  1525.62   <2e-16 ***
DESTIN_GRID429             1.552e+01  2.272e-02   682.85   <2e-16 ***
DESTIN_GRID446             1.604e+01  2.209e-02   726.12   <2e-16 ***
DESTIN_GRID447             1.561e+01  1.722e-02   906.85   <2e-16 ***
DESTIN_GRID448             1.603e+01  1.158e-02  1384.18   <2e-16 ***
DESTIN_GRID449             1.589e+01  7.747e-03  2051.43   <2e-16 ***
DESTIN_GRID450             1.544e+01  1.192e-02  1295.19   <2e-16 ***
DESTIN_GRID468             1.642e+01  1.019e-02  1611.73   <2e-16 ***
DESTIN_GRID469             1.552e+01  8.624e-03  1799.36   <2e-16 ***
DESTIN_GRID470             1.585e+01  6.911e-03  2294.04   <2e-16 ***
DESTIN_GRID471             1.567e+01  1.544e-02  1014.73   <2e-16 ***
DESTIN_GRID488             1.574e+01  2.230e-02   706.04   <2e-16 ***
DESTIN_GRID489             1.401e+01  4.725e-02   296.52   <2e-16 ***
DESTIN_GRID490             1.632e+01  8.527e-03  1914.08   <2e-16 ***
DESTIN_GRID491             1.416e+01  1.488e-02   951.69   <2e-16 ***
DESTIN_GRID493             1.346e+01  4.938e-02   272.61   <2e-16 ***
DESTIN_GRID494             1.506e+01  2.184e-02   689.79   <2e-16 ***
DESTIN_GRID509             1.571e+01  1.462e-02  1074.52   <2e-16 ***
DESTIN_GRID510             1.630e+01  9.859e-03  1653.45   <2e-16 ***
DESTIN_GRID511             1.576e+01  6.695e-03  2354.11   <2e-16 ***
DESTIN_GRID512             1.573e+01  6.252e-03  2516.32   <2e-16 ***
DESTIN_GRID513             1.677e+01  7.360e-03  2278.70   <2e-16 ***
DESTIN_GRID514             1.604e+01  1.178e-02  1362.42   <2e-16 ***
DESTIN_GRID515             1.500e+01  2.906e-02   515.96   <2e-16 ***
DESTIN_GRID530             1.503e+01  2.960e-02   507.88   <2e-16 ***
DESTIN_GRID531             1.749e+01  5.992e-03  2918.25   <2e-16 ***
DESTIN_GRID532             1.596e+01  8.896e-03  1793.55   <2e-16 ***
DESTIN_GRID533             1.730e+01  3.389e-03  5105.87   <2e-16 ***
DESTIN_GRID534             1.585e+01  6.470e-03  2449.22   <2e-16 ***
DESTIN_GRID536             1.507e+01  1.764e-02   854.07   <2e-16 ***
DESTIN_GRID537             1.468e+01  3.354e-02   437.66   <2e-16 ***
DESTIN_GRID538             1.398e+01  4.243e-02   329.41   <2e-16 ***
DESTIN_GRID539             1.099e+01  5.774e-01    19.03   <2e-16 ***
DESTIN_GRID551             1.575e+01  1.774e-02   888.08   <2e-16 ***
DESTIN_GRID552             1.732e+01  1.049e-02  1651.03   <2e-16 ***
DESTIN_GRID553             1.535e+01  8.585e-03  1787.69   <2e-16 ***
DESTIN_GRID554             1.535e+01  6.938e-03  2212.09   <2e-16 ***
DESTIN_GRID555             1.632e+01  7.590e-03  2150.64   <2e-16 ***
DESTIN_GRID559             1.377e+01  5.436e-02   253.39   <2e-16 ***
DESTIN_GRID560             1.600e+01  1.622e-02   986.66   <2e-16 ***
DESTIN_GRID561             1.415e+01  6.731e-02   210.28   <2e-16 ***
DESTIN_GRID572             1.549e+01  3.242e-02   477.81   <2e-16 ***
DESTIN_GRID573             1.671e+01  1.007e-02  1658.64   <2e-16 ***
DESTIN_GRID574             1.580e+01  1.627e-02   971.22   <2e-16 ***
DESTIN_GRID575             1.773e+01  2.979e-03  5951.10   <2e-16 ***
DESTIN_GRID576             1.566e+01  6.476e-03  2418.19   <2e-16 ***
DESTIN_GRID578             1.228e+01  1.066e-01   115.21   <2e-16 ***
DESTIN_GRID582             1.352e+01  6.583e-02   205.39   <2e-16 ***
DESTIN_GRID583             1.194e+01  2.182e-01    54.71   <2e-16 ***
DESTIN_GRID584             1.511e+01  3.487e-02   433.30   <2e-16 ***
DESTIN_GRID593             1.493e+01  2.375e-02   628.59   <2e-16 ***
DESTIN_GRID594             1.604e+01  1.329e-02  1206.69   <2e-16 ***
DESTIN_GRID595             1.640e+01  5.955e-03  2753.47   <2e-16 ***
DESTIN_GRID596             1.578e+01  5.364e-03  2940.98   <2e-16 ***
DESTIN_GRID597             1.515e+01  1.542e-02   982.95   <2e-16 ***
DESTIN_GRID603             1.368e+01  5.108e-02   267.78   <2e-16 ***
DESTIN_GRID604             1.507e+01  4.449e-02   338.83   <2e-16 ***
DESTIN_GRID615             1.517e+01  1.460e-02  1038.85   <2e-16 ***
DESTIN_GRID616             1.610e+01  8.502e-03  1894.14   <2e-16 ***
DESTIN_GRID617             1.494e+01  9.230e-03  1618.10   <2e-16 ***
DESTIN_GRID618             1.559e+01  6.351e-03  2455.32   <2e-16 ***
DESTIN_GRID620             1.599e+01  1.099e-02  1454.55   <2e-16 ***
DESTIN_GRID637             1.567e+01  1.078e-02  1454.15   <2e-16 ***
DESTIN_GRID638             1.565e+01  5.874e-03  2665.09   <2e-16 ***
DESTIN_GRID657             1.667e+01  7.016e-03  2375.94   <2e-16 ***
DESTIN_GRID658             1.603e+01  6.114e-03  2622.20   <2e-16 ***
DESTIN_GRID659             1.585e+01  5.834e-03  2716.94   <2e-16 ***
DESTIN_GRID660             1.641e+01  4.282e-03  3832.18   <2e-16 ***
DESTIN_GRID662             1.590e+01  1.116e-02  1424.30   <2e-16 ***
DESTIN_GRID677             1.665e+01  9.288e-03  1792.75   <2e-16 ***
DESTIN_GRID678             1.486e+01  1.383e-02  1075.07   <2e-16 ***
DESTIN_GRID679             1.625e+01  5.160e-03  3148.70   <2e-16 ***
DESTIN_GRID680             1.776e+01  2.885e-03  6157.19   <2e-16 ***
DESTIN_GRID681             1.428e+01  1.790e-02   797.97   <2e-16 ***
DESTIN_GRID699             1.615e+01  8.810e-03  1833.25   <2e-16 ***
DESTIN_GRID700             1.580e+01  6.864e-03  2302.28   <2e-16 ***
DESTIN_GRID701             1.367e+01  1.909e-02   715.98   <2e-16 ***
DESTIN_GRID702             1.604e+01  4.971e-03  3227.04   <2e-16 ***
DESTIN_GRID704             1.602e+01  1.021e-02  1568.67   <2e-16 ***
DESTIN_GRID722             1.505e+01  9.688e-03  1553.40   <2e-16 ***
DESTIN_GRID725             1.375e+01  2.681e-02   512.86   <2e-16 ***
DESTIN_GRID741             1.673e+01  7.082e-03  2362.45   <2e-16 ***
DESTIN_GRID743             1.325e+01  2.093e-02   632.92   <2e-16 ***
DESTIN_GRID744             1.604e+01  5.094e-03  3149.66   <2e-16 ***
DESTIN_GRID761             1.685e+01  8.193e-03  2056.21   <2e-16 ***
DESTIN_GRID762             1.511e+01  1.265e-02  1195.21   <2e-16 ***
DESTIN_GRID763             1.341e+01  2.039e-02   657.58   <2e-16 ***
DESTIN_GRID764             1.664e+01  3.833e-03  4341.14   <2e-16 ***
DESTIN_GRID765             1.530e+01  9.249e-03  1653.73   <2e-16 ***
DESTIN_GRID767             1.586e+01  6.861e-03  2311.81   <2e-16 ***
DESTIN_GRID772             1.476e+01  3.455e-02   427.24   <2e-16 ***
DESTIN_GRID784             1.385e+01  1.986e-02   697.11   <2e-16 ***
DESTIN_GRID785             1.564e+01  5.711e-03  2739.03   <2e-16 ***
DESTIN_GRID786             1.583e+01  5.155e-03  3071.03   <2e-16 ***
DESTIN_GRID787             1.538e+01  9.533e-03  1613.23   <2e-16 ***
DESTIN_GRID788             1.430e+01  1.395e-02  1025.07   <2e-16 ***
DESTIN_GRID789             1.412e+01  1.676e-02   842.84   <2e-16 ***
DESTIN_GRID803             1.557e+01  1.372e-02  1135.38   <2e-16 ***
DESTIN_GRID804             1.606e+01  6.770e-03  2371.57   <2e-16 ***
DESTIN_GRID805             1.722e+01  3.313e-03  5199.04   <2e-16 ***
DESTIN_GRID806             1.547e+01  5.988e-03  2583.86   <2e-16 ***
DESTIN_GRID807             1.561e+01  7.009e-03  2227.66   <2e-16 ***
DESTIN_GRID808             1.397e+01  1.970e-02   709.00   <2e-16 ***
DESTIN_GRID809             1.576e+01  5.492e-03  2870.02   <2e-16 ***
DESTIN_GRID810             1.527e+01  8.593e-03  1776.96   <2e-16 ***
DESTIN_GRID814             1.552e+01  1.930e-02   803.93   <2e-16 ***
DESTIN_GRID824             1.577e+01  1.336e-02  1179.94   <2e-16 ***
DESTIN_GRID826             1.569e+01  6.219e-03  2523.64   <2e-16 ***
DESTIN_GRID827             1.560e+01  6.368e-03  2449.29   <2e-16 ***
DESTIN_GRID828             1.585e+01  5.027e-03  3152.74   <2e-16 ***
DESTIN_GRID829             1.521e+01  8.262e-03  1840.42   <2e-16 ***
DESTIN_GRID830             1.431e+01  1.272e-02  1124.88   <2e-16 ***
DESTIN_GRID831             1.753e+01  2.969e-03  5903.09   <2e-16 ***
DESTIN_GRID832             1.658e+01  5.617e-03  2952.02   <2e-16 ***
DESTIN_GRID835             1.522e+01  1.928e-02   789.50   <2e-16 ***
DESTIN_GRID844             1.539e+01  1.784e-02   862.77   <2e-16 ***
DESTIN_GRID846             1.568e+01  7.056e-03  2222.07   <2e-16 ***
DESTIN_GRID847             1.656e+01  4.705e-03  3519.84   <2e-16 ***
DESTIN_GRID848             1.542e+01  6.396e-03  2410.35   <2e-16 ***
DESTIN_GRID849             1.487e+01  8.277e-03  1796.48   <2e-16 ***
DESTIN_GRID850             1.568e+01  5.862e-03  2674.95   <2e-16 ***
DESTIN_GRID851             1.534e+01  6.262e-03  2449.62   <2e-16 ***
DESTIN_GRID852             1.509e+01  8.381e-03  1800.79   <2e-16 ***
DESTIN_GRID853             1.596e+01  8.010e-03  1991.95   <2e-16 ***
DESTIN_GRID854             1.585e+01  1.411e-02  1123.67   <2e-16 ***
DESTIN_GRID855             1.511e+01  1.951e-02   774.35   <2e-16 ***
DESTIN_GRID856             1.426e+01  3.127e-02   455.92   <2e-16 ***
DESTIN_GRID866             1.611e+01  9.999e-03  1610.98   <2e-16 ***
DESTIN_GRID867             1.695e+01  4.755e-03  3564.10   <2e-16 ***
DESTIN_GRID868             1.658e+01  5.478e-03  3027.66   <2e-16 ***
DESTIN_GRID869             1.750e+01  5.107e-03  3426.97   <2e-16 ***
DESTIN_GRID870             1.711e+01  3.280e-03  5217.17   <2e-16 ***
DESTIN_GRID871             1.725e+01  4.024e-03  4287.38   <2e-16 ***
DESTIN_GRID872             1.575e+01  5.703e-03  2762.30   <2e-16 ***
DESTIN_GRID873             1.538e+01  7.939e-03  1936.73   <2e-16 ***
DESTIN_GRID874             1.418e+01  1.323e-02  1071.96   <2e-16 ***
DESTIN_GRID875             1.435e+01  2.820e-02   508.88   <2e-16 ***
DESTIN_GRID876             1.503e+01  1.910e-02   786.62   <2e-16 ***
DESTIN_GRID877             1.588e+01  1.408e-02  1127.63   <2e-16 ***
DESTIN_GRID887             1.569e+01  8.319e-03  1885.93   <2e-16 ***
DESTIN_GRID888             1.435e+01  1.357e-02  1056.93   <2e-16 ***
DESTIN_GRID889             1.525e+01  1.279e-02  1192.61   <2e-16 ***
DESTIN_GRID890             1.617e+01  5.033e-03  3213.41   <2e-16 ***
DESTIN_GRID891             1.474e+01  1.423e-02  1036.23   <2e-16 ***
DESTIN_GRID893             1.605e+01  4.648e-03  3452.70   <2e-16 ***
DESTIN_GRID894             1.441e+01  1.170e-02  1232.19   <2e-16 ***
DESTIN_GRID895             1.553e+01  9.428e-03  1647.59   <2e-16 ***
DESTIN_GRID896             1.381e+01  3.001e-02   460.09   <2e-16 ***
DESTIN_GRID897             1.384e+01  2.719e-02   509.01   <2e-16 ***
DESTIN_GRID898             1.574e+01  1.413e-02  1113.48   <2e-16 ***
DESTIN_GRID908             1.635e+01  1.047e-02  1562.36   <2e-16 ***
DESTIN_GRID909             1.555e+01  6.541e-03  2376.79   <2e-16 ***
DESTIN_GRID910             1.467e+01  1.189e-02  1233.79   <2e-16 ***
DESTIN_GRID911             1.704e+01  4.168e-03  4087.26   <2e-16 ***
DESTIN_GRID912             1.529e+01  7.251e-03  2108.11   <2e-16 ***
DESTIN_GRID915             1.550e+01  6.087e-03  2546.26   <2e-16 ***
DESTIN_GRID917             1.669e+01  5.777e-03  2888.83   <2e-16 ***
DESTIN_GRID918             1.328e+01  3.990e-02   332.89   <2e-16 ***
DESTIN_GRID919             1.502e+01  1.458e-02  1030.46   <2e-16 ***
DESTIN_GRID928             1.456e+01  1.703e-02   854.98   <2e-16 ***
DESTIN_GRID929             1.543e+01  6.999e-03  2203.99   <2e-16 ***
DESTIN_GRID930             1.658e+01  4.011e-03  4134.90   <2e-16 ***
DESTIN_GRID931             1.533e+01  1.024e-02  1496.61   <2e-16 ***
DESTIN_GRID932             1.375e+01  2.435e-02   564.41   <2e-16 ***
DESTIN_GRID933             1.570e+01  7.600e-03  2066.11   <2e-16 ***
DESTIN_GRID934             1.528e+01  8.236e-03  1854.96   <2e-16 ***
DESTIN_GRID935             1.751e+01  2.935e-03  5967.04   <2e-16 ***
DESTIN_GRID938             1.199e+01  1.741e-01    68.89   <2e-16 ***
DESTIN_GRID939             1.651e+01  6.208e-03  2659.80   <2e-16 ***
DESTIN_GRID940             1.492e+01  1.865e-02   800.17   <2e-16 ***
DESTIN_GRID949             1.461e+01  1.448e-02  1009.07   <2e-16 ***
DESTIN_GRID950             1.659e+01  5.106e-03  3249.11   <2e-16 ***
DESTIN_GRID951             1.738e+01  3.087e-03  5629.69   <2e-16 ***
DESTIN_GRID952             1.632e+01  7.789e-03  2094.90   <2e-16 ***
DESTIN_GRID953             1.585e+01  8.622e-03  1838.20   <2e-16 ***
DESTIN_GRID954             1.388e+01  1.713e-02   810.60   <2e-16 ***
DESTIN_GRID955             1.663e+01  4.613e-03  3604.99   <2e-16 ***
DESTIN_GRID956             1.478e+01  9.221e-03  1602.82   <2e-16 ***
DESTIN_GRID957             1.527e+01  8.518e-03  1792.11   <2e-16 ***
DESTIN_GRID959             1.525e+01  2.195e-02   694.59   <2e-16 ***
DESTIN_GRID961             1.534e+01  1.197e-02  1281.78   <2e-16 ***
DESTIN_GRID962             1.749e+01  4.931e-03  3545.95   <2e-16 ***
DESTIN_GRID970             1.589e+01  6.290e-03  2526.33   <2e-16 ***
DESTIN_GRID971             1.604e+01  4.738e-03  3385.21   <2e-16 ***
DESTIN_GRID972             1.538e+01  7.063e-03  2177.89   <2e-16 ***
DESTIN_GRID974             1.508e+01  1.050e-02  1435.76   <2e-16 ***
DESTIN_GRID975             1.407e+01  1.608e-02   874.61   <2e-16 ***
DESTIN_GRID976             1.467e+01  1.122e-02  1307.89   <2e-16 ***
DESTIN_GRID977             1.536e+01  6.507e-03  2360.80   <2e-16 ***
DESTIN_GRID978             1.504e+01  1.082e-02  1389.19   <2e-16 ***
DESTIN_GRID982             1.487e+01  1.080e-02  1376.32   <2e-16 ***
DESTIN_GRID991             1.595e+01  6.891e-03  2315.02   <2e-16 ***
DESTIN_GRID992             1.611e+01  5.549e-03  2902.60   <2e-16 ***
DESTIN_GRID993             1.463e+01  9.587e-03  1526.54   <2e-16 ***
DESTIN_GRID994             1.463e+01  1.124e-02  1300.70   <2e-16 ***
DESTIN_GRID995             1.545e+01  7.991e-03  1933.09   <2e-16 ***
DESTIN_GRID996             1.502e+01  1.084e-02  1384.90   <2e-16 ***
DESTIN_GRID997             1.549e+01  1.308e-02  1184.47   <2e-16 ***
DESTIN_GRID998             1.595e+01  5.952e-03  2679.60   <2e-16 ***
DESTIN_GRID999             1.506e+01  9.780e-03  1540.12   <2e-16 ***
DESTIN_GRID1001            1.542e+01  1.549e-02   995.29   <2e-16 ***
DESTIN_GRID1003            1.739e+01  3.536e-03  4916.61   <2e-16 ***
DESTIN_GRID1004            1.664e+01  4.878e-03  3410.26   <2e-16 ***
DESTIN_GRID1011            1.560e+01  1.195e-02  1305.02   <2e-16 ***
DESTIN_GRID1012            1.681e+01  5.999e-03  2802.05   <2e-16 ***
DESTIN_GRID1013            1.550e+01  7.616e-03  2035.77   <2e-16 ***
DESTIN_GRID1014            1.388e+01  1.580e-02   878.53   <2e-16 ***
DESTIN_GRID1015            1.677e+01  4.480e-03  3743.39   <2e-16 ***
DESTIN_GRID1016            1.704e+01  4.123e-03  4131.95   <2e-16 ***
DESTIN_GRID1018            1.513e+01  1.208e-02  1253.06   <2e-16 ***
DESTIN_GRID1019            1.600e+01  5.917e-03  2703.83   <2e-16 ***
DESTIN_GRID1023            1.476e+01  1.302e-02  1133.63   <2e-16 ***
DESTIN_GRID1024            1.588e+01  6.490e-03  2447.40   <2e-16 ***
DESTIN_GRID1025            1.201e+01  6.458e-02   185.96   <2e-16 ***
DESTIN_GRID1033            1.603e+01  6.855e-03  2337.77   <2e-16 ***
DESTIN_GRID1034            1.647e+01  4.751e-03  3465.97   <2e-16 ***
DESTIN_GRID1035            1.629e+01  4.948e-03  3291.82   <2e-16 ***
DESTIN_GRID1036            1.690e+01  4.162e-03  4060.08   <2e-16 ***
DESTIN_GRID1037            1.578e+01  6.232e-03  2531.91   <2e-16 ***
DESTIN_GRID1043            1.613e+01  1.087e-02  1483.69   <2e-16 ***
DESTIN_GRID1045            1.581e+01  5.925e-03  2668.11   <2e-16 ***
DESTIN_GRID1046            1.619e+01  5.792e-03  2795.09   <2e-16 ***
DESTIN_GRID1053            1.670e+01  4.991e-03  3345.47   <2e-16 ***
DESTIN_GRID1054            1.631e+01  5.152e-03  3165.92   <2e-16 ***
DESTIN_GRID1055            1.530e+01  8.090e-03  1891.46   <2e-16 ***
DESTIN_GRID1056            1.469e+01  1.099e-02  1336.34   <2e-16 ***
DESTIN_GRID1064            1.291e+01  8.707e-02   148.30   <2e-16 ***
DESTIN_GRID1066            1.683e+01  4.146e-03  4057.80   <2e-16 ***
DESTIN_GRID1067            1.676e+01  6.492e-03  2582.17   <2e-16 ***
DESTIN_GRID1074            1.466e+01  1.354e-02  1082.42   <2e-16 ***
DESTIN_GRID1075            1.622e+01  6.175e-03  2625.99   <2e-16 ***
DESTIN_GRID1076            1.541e+01  6.828e-03  2256.64   <2e-16 ***
DESTIN_GRID1077            1.470e+01  1.023e-02  1437.48   <2e-16 ***
DESTIN_GRID1079            1.609e+01  6.032e-03  2668.06   <2e-16 ***
DESTIN_GRID1085            1.451e+01  5.622e-02   258.12   <2e-16 ***
DESTIN_GRID1087            1.591e+01  6.106e-03  2606.20   <2e-16 ***
DESTIN_GRID1088            1.640e+01  5.515e-03  2973.31   <2e-16 ***
DESTIN_GRID1094            1.288e+01  4.816e-02   267.41   <2e-16 ***
DESTIN_GRID1095            1.568e+01  1.337e-02  1172.71   <2e-16 ***
DESTIN_GRID1096            1.510e+01  1.474e-02  1024.82   <2e-16 ***
DESTIN_GRID1097            1.633e+01  4.452e-03  3668.38   <2e-16 ***
DESTIN_GRID1098            1.387e+01  2.160e-02   641.93   <2e-16 ***
DESTIN_GRID1099            1.544e+01  7.818e-03  1974.81   <2e-16 ***
DESTIN_GRID1105            1.714e+01  8.748e-03  1959.65   <2e-16 ***
DESTIN_GRID1106            1.264e+01  8.485e-02   148.91   <2e-16 ***
DESTIN_GRID1107            1.593e+01  7.416e-03  2148.68   <2e-16 ***
DESTIN_GRID1108            1.791e+01  2.753e-03  6506.47   <2e-16 ***
DESTIN_GRID1109            1.443e+01  2.090e-02   690.77   <2e-16 ***
DESTIN_GRID1116            1.553e+01  8.702e-03  1784.14   <2e-16 ***
DESTIN_GRID1117            1.580e+01  7.002e-03  2256.80   <2e-16 ***
DESTIN_GRID1118            1.400e+01  1.760e-02   795.45   <2e-16 ***
DESTIN_GRID1119            1.462e+01  1.027e-02  1422.77   <2e-16 ***
DESTIN_GRID1120            1.442e+01  1.662e-02   867.39   <2e-16 ***
DESTIN_GRID1129            1.542e+01  7.778e-03  1982.76   <2e-16 ***
DESTIN_GRID1130            1.608e+01  5.640e-03  2850.19   <2e-16 ***
DESTIN_GRID1131            1.762e+01  5.270e-03  3342.78   <2e-16 ***
DESTIN_GRID1136            1.679e+01  4.960e-03  3384.35   <2e-16 ***
DESTIN_GRID1138            1.440e+01  1.663e-02   866.03   <2e-16 ***
DESTIN_GRID1139            1.522e+01  7.008e-03  2172.32   <2e-16 ***
DESTIN_GRID1141            1.544e+01  7.746e-03  1993.59   <2e-16 ***
DESTIN_GRID1148            1.462e+01  2.922e-02   500.26   <2e-16 ***
DESTIN_GRID1149            1.506e+01  1.316e-02  1144.67   <2e-16 ***
DESTIN_GRID1150            1.535e+01  6.693e-03  2293.77   <2e-16 ***
DESTIN_GRID1151            1.597e+01  6.545e-03  2439.27   <2e-16 ***
DESTIN_GRID1158            1.469e+01  1.043e-02  1408.55   <2e-16 ***
DESTIN_GRID1159            1.478e+01  8.759e-03  1687.88   <2e-16 ***
DESTIN_GRID1160            1.631e+01  4.406e-03  3701.91   <2e-16 ***
DESTIN_GRID1171            1.602e+01  5.870e-03  2728.65   <2e-16 ***
DESTIN_GRID1172            1.748e+01  3.250e-03  5379.96   <2e-16 ***
DESTIN_GRID1173            1.694e+01  5.178e-03  3270.39   <2e-16 ***
DESTIN_GRID1174            1.412e+01  4.144e-02   340.62   <2e-16 ***
DESTIN_GRID1178            1.692e+01  3.954e-03  4279.16   <2e-16 ***
DESTIN_GRID1179            1.583e+01  5.334e-03  2968.68   <2e-16 ***
DESTIN_GRID1180            1.583e+01  5.071e-03  3121.33   <2e-16 ***
DESTIN_GRID1181            1.478e+01  8.942e-03  1653.06   <2e-16 ***
DESTIN_GRID1183            1.659e+01  5.036e-03  3293.21   <2e-16 ***
DESTIN_GRID1190            1.466e+01  2.869e-02   511.07   <2e-16 ***
DESTIN_GRID1192            1.627e+01  5.397e-03  3014.23   <2e-16 ***
DESTIN_GRID1193            1.629e+01  5.452e-03  2987.84   <2e-16 ***
DESTIN_GRID1194            1.672e+01  6.138e-03  2723.53   <2e-16 ***
DESTIN_GRID1200            1.556e+01  7.051e-03  2206.16   <2e-16 ***
DESTIN_GRID1201            1.528e+01  7.363e-03  2075.70   <2e-16 ***
DESTIN_GRID1203            1.529e+01  7.809e-03  1958.65   <2e-16 ***
DESTIN_GRID1204            1.525e+01  8.824e-03  1728.80   <2e-16 ***
DESTIN_GRID1211            1.111e+01  2.774e-01    40.04   <2e-16 ***
DESTIN_GRID1214            1.517e+01  8.503e-03  1784.13   <2e-16 ***
DESTIN_GRID1215            1.604e+01  1.094e-02  1466.15   <2e-16 ***
DESTIN_GRID1216            1.626e+01  1.004e-02  1620.49   <2e-16 ***
DESTIN_GRID1220            1.578e+01  6.189e-03  2549.55   <2e-16 ***
DESTIN_GRID1221            1.624e+01  4.399e-03  3691.63   <2e-16 ***
DESTIN_GRID1222            1.503e+01  1.229e-02  1222.60   <2e-16 ***
DESTIN_GRID1223            1.473e+01  1.110e-02  1327.39   <2e-16 ***
DESTIN_GRID1224            1.541e+01  7.929e-03  1943.04   <2e-16 ***
DESTIN_GRID1231            1.358e+01  5.721e-02   237.44   <2e-16 ***
DESTIN_GRID1232            1.531e+01  2.444e-02   626.37   <2e-16 ***
DESTIN_GRID1235            1.599e+01  5.988e-03  2670.09   <2e-16 ***
DESTIN_GRID1236            1.596e+01  8.266e-03  1930.85   <2e-16 ***
DESTIN_GRID1241            1.455e+01  1.160e-02  1254.64   <2e-16 ***
DESTIN_GRID1242            1.484e+01  8.960e-03  1656.57   <2e-16 ***
DESTIN_GRID1243            1.585e+01  5.297e-03  2993.14   <2e-16 ***
DESTIN_GRID1246            1.515e+01  8.520e-03  1777.74   <2e-16 ***
DESTIN_GRID1256            1.515e+01  8.551e-03  1771.70   <2e-16 ***
DESTIN_GRID1257            1.625e+01  6.245e-03  2602.54   <2e-16 ***
DESTIN_GRID1258            1.709e+01  5.425e-03  3149.26   <2e-16 ***
DESTIN_GRID1262            1.433e+01  1.255e-02  1141.92   <2e-16 ***
DESTIN_GRID1263            1.652e+01  3.855e-03  4285.90   <2e-16 ***
DESTIN_GRID1264            1.547e+01  7.467e-03  2071.24   <2e-16 ***
DESTIN_GRID1265            1.560e+01  7.816e-03  1995.46   <2e-16 ***
DESTIN_GRID1266            1.583e+01  6.873e-03  2302.62   <2e-16 ***
DESTIN_GRID1267            1.442e+01  1.605e-02   898.20   <2e-16 ***
DESTIN_GRID1272            1.161e+01  1.105e-01   105.15   <2e-16 ***
DESTIN_GRID1273            1.621e+01  7.253e-03  2235.02   <2e-16 ***
DESTIN_GRID1277            1.645e+01  4.615e-03  3564.62   <2e-16 ***
DESTIN_GRID1278            1.612e+01  6.252e-03  2578.87   <2e-16 ***
DESTIN_GRID1283            1.695e+01  3.863e-03  4388.77   <2e-16 ***
DESTIN_GRID1284            1.647e+01  4.142e-03  3974.84   <2e-16 ***
DESTIN_GRID1285            1.610e+01  4.758e-03  3383.32   <2e-16 ***
DESTIN_GRID1286            1.509e+01  9.734e-03  1549.69   <2e-16 ***
DESTIN_GRID1289            1.305e+01  3.716e-02   351.30   <2e-16 ***
DESTIN_GRID1293            1.195e+01  7.375e-02   162.03   <2e-16 ***
DESTIN_GRID1294            1.591e+01  8.635e-03  1842.12   <2e-16 ***
DESTIN_GRID1295            1.393e+01  2.226e-02   625.52   <2e-16 ***
DESTIN_GRID1298            1.548e+01  7.018e-03  2205.42   <2e-16 ***
DESTIN_GRID1299            1.540e+01  8.848e-03  1740.63   <2e-16 ***
DESTIN_GRID1304            1.585e+01  6.008e-03  2637.74   <2e-16 ***
DESTIN_GRID1305            1.602e+01  4.527e-03  3537.80   <2e-16 ***
DESTIN_GRID1307            1.466e+01  1.924e-02   762.11   <2e-16 ***
DESTIN_GRID1308            1.610e+01  5.676e-03  2835.95   <2e-16 ***
DESTIN_GRID1310            1.084e+01  1.890e-01    57.34   <2e-16 ***
DESTIN_GRID1316            1.430e+01  1.576e-02   907.52   <2e-16 ***
DESTIN_GRID1317            1.427e+01  1.313e-02  1086.72   <2e-16 ***
DESTIN_GRID1318            1.397e+01  1.579e-02   885.01   <2e-16 ***
DESTIN_GRID1319            1.698e+01  3.780e-03  4492.62   <2e-16 ***
DESTIN_GRID1320            1.472e+01  1.348e-02  1091.97   <2e-16 ***
DESTIN_GRID1324            1.593e+01  1.559e-02  1022.03   <2e-16 ***
DESTIN_GRID1325            1.418e+01  1.421e-02   997.98   <2e-16 ***
DESTIN_GRID1326            1.558e+01  5.730e-03  2718.70   <2e-16 ***
DESTIN_GRID1327            1.573e+01  5.429e-03  2896.83   <2e-16 ***
DESTIN_GRID1328            1.560e+01  6.585e-03  2368.98   <2e-16 ***
DESTIN_GRID1329            1.563e+01  8.657e-03  1805.87   <2e-16 ***
DESTIN_GRID1330            1.693e+01  5.433e-03  3116.24   <2e-16 ***
DESTIN_GRID1331            1.053e+01  2.582e-01    40.78   <2e-16 ***
DESTIN_GRID1333            1.414e+01  1.585e-02   892.37   <2e-16 ***
DESTIN_GRID1334            1.472e+01  1.287e-02  1144.05   <2e-16 ***
DESTIN_GRID1335            1.664e+01  5.719e-03  2909.32   <2e-16 ***
DESTIN_GRID1336            1.299e+01  5.586e-02   232.52   <2e-16 ***
DESTIN_GRID1337            1.325e+01  2.936e-02   451.24   <2e-16 ***
DESTIN_GRID1338            1.301e+01  2.660e-02   488.97   <2e-16 ***
DESTIN_GRID1339            1.665e+01  4.091e-03  4070.29   <2e-16 ***
DESTIN_GRID1340            1.513e+01  9.208e-03  1643.71   <2e-16 ***
DESTIN_GRID1341            1.152e+01  9.625e-02   119.74   <2e-16 ***
DESTIN_GRID1346            1.556e+01  7.281e-03  2136.63   <2e-16 ***
DESTIN_GRID1347            1.659e+01  3.955e-03  4193.45   <2e-16 ***
DESTIN_GRID1348            1.532e+01  6.756e-03  2267.32   <2e-16 ***
DESTIN_GRID1349            1.632e+01  5.502e-03  2965.34   <2e-16 ***
DESTIN_GRID1350            1.520e+01  1.259e-02  1207.61   <2e-16 ***
DESTIN_GRID1353            1.570e+01  6.338e-03  2477.35   <2e-16 ***
DESTIN_GRID1354            1.446e+01  1.184e-02  1221.03   <2e-16 ***
DESTIN_GRID1355            1.474e+01  1.102e-02  1337.27   <2e-16 ***
DESTIN_GRID1357            1.428e+01  1.866e-02   765.10   <2e-16 ***
DESTIN_GRID1358            1.663e+01  4.146e-03  4011.51   <2e-16 ***
DESTIN_GRID1359            1.541e+01  6.721e-03  2292.49   <2e-16 ***
DESTIN_GRID1360            1.524e+01  7.479e-03  2037.38   <2e-16 ***
DESTIN_GRID1361            1.540e+01  8.798e-03  1750.24   <2e-16 ***
DESTIN_GRID1362            1.396e+01  2.905e-02   480.48   <2e-16 ***
DESTIN_GRID1368            1.466e+01  9.014e-03  1626.27   <2e-16 ***
DESTIN_GRID1369            1.475e+01  8.691e-03  1697.42   <2e-16 ***
DESTIN_GRID1370            1.658e+01  4.073e-03  4069.46   <2e-16 ***
DESTIN_GRID1371            1.560e+01  7.779e-03  2005.34   <2e-16 ***
DESTIN_GRID1372            1.567e+01  7.171e-03  2184.97   <2e-16 ***
DESTIN_GRID1373            1.279e+01  3.251e-02   393.35   <2e-16 ***
DESTIN_GRID1374            1.390e+01  1.439e-02   965.93   <2e-16 ***
DESTIN_GRID1375            1.583e+01  7.346e-03  2154.94   <2e-16 ***
DESTIN_GRID1376            1.410e+01  1.689e-02   835.17   <2e-16 ***
DESTIN_GRID1379            1.226e+01  6.316e-02   194.04   <2e-16 ***
DESTIN_GRID1380            1.730e+01  3.150e-03  5492.94   <2e-16 ***
DESTIN_GRID1381            1.747e+01  3.071e-03  5688.46   <2e-16 ***
DESTIN_GRID1382            1.674e+01  4.661e-03  3591.90   <2e-16 ***
DESTIN_GRID1383            1.404e+01  1.944e-02   722.06   <2e-16 ***
DESTIN_GRID1388            1.540e+01  6.542e-03  2354.89   <2e-16 ***
DESTIN_GRID1389            1.499e+01  7.347e-03  2039.74   <2e-16 ***
DESTIN_GRID1390            1.531e+01  6.980e-03  2193.95   <2e-16 ***
DESTIN_GRID1391            1.637e+01  5.181e-03  3159.94   <2e-16 ***
DESTIN_GRID1392            1.618e+01  1.244e-02  1300.83   <2e-16 ***
DESTIN_GRID1393            1.501e+01  8.673e-03  1730.93   <2e-16 ***
DESTIN_GRID1394            1.539e+01  6.335e-03  2429.37   <2e-16 ***
DESTIN_GRID1395            1.514e+01  7.183e-03  2108.06   <2e-16 ***
DESTIN_GRID1396            1.587e+01  5.439e-03  2918.64   <2e-16 ***
DESTIN_GRID1397            1.506e+01  7.710e-03  1952.94   <2e-16 ***
DESTIN_GRID1398            1.461e+01  1.394e-02  1048.38   <2e-16 ***
DESTIN_GRID1400            1.476e+01  1.116e-02  1322.50   <2e-16 ***
DESTIN_GRID1401            1.657e+01  3.707e-03  4468.60   <2e-16 ***
DESTIN_GRID1402            1.586e+01  5.604e-03  2829.68   <2e-16 ***
DESTIN_GRID1404            1.505e+01  2.186e-02   688.30   <2e-16 ***
DESTIN_GRID1410            1.631e+01  4.229e-03  3857.65   <2e-16 ***
DESTIN_GRID1411            1.533e+01  7.005e-03  2188.90   <2e-16 ***
DESTIN_GRID1412            1.631e+01  4.503e-03  3622.15   <2e-16 ***
DESTIN_GRID1413            1.601e+01  5.667e-03  2825.95   <2e-16 ***
DESTIN_GRID1414            1.552e+01  6.066e-03  2559.01   <2e-16 ***
DESTIN_GRID1415            1.580e+01  5.612e-03  2816.53   <2e-16 ***
DESTIN_GRID1416            1.540e+01  6.900e-03  2231.62   <2e-16 ***
DESTIN_GRID1417            1.546e+01  5.870e-03  2633.46   <2e-16 ***
DESTIN_GRID1418            1.557e+01  5.795e-03  2687.08   <2e-16 ***
DESTIN_GRID1419            1.515e+01  7.862e-03  1927.04   <2e-16 ***
DESTIN_GRID1422            1.558e+01  6.293e-03  2475.62   <2e-16 ***
DESTIN_GRID1423            1.608e+01  5.297e-03  3036.35   <2e-16 ***
DESTIN_GRID1430            1.607e+01  5.243e-03  3063.97   <2e-16 ***
DESTIN_GRID1431            1.646e+01  4.037e-03  4076.79   <2e-16 ***
DESTIN_GRID1432            1.613e+01  4.503e-03  3581.74   <2e-16 ***
DESTIN_GRID1433            1.549e+01  9.315e-03  1663.16   <2e-16 ***
DESTIN_GRID1434            1.642e+01  4.401e-03  3730.04   <2e-16 ***
DESTIN_GRID1435            1.591e+01  4.988e-03  3190.45   <2e-16 ***
DESTIN_GRID1436            1.449e+01  1.064e-02  1361.45   <2e-16 ***
DESTIN_GRID1437            1.531e+01  6.495e-03  2356.65   <2e-16 ***
DESTIN_GRID1438            1.589e+01  4.524e-03  3512.55   <2e-16 ***
DESTIN_GRID1439            1.665e+01  3.826e-03  4350.78   <2e-16 ***
DESTIN_GRID1440            1.611e+01  6.279e-03  2565.05   <2e-16 ***
DESTIN_GRID1442            1.396e+01  1.653e-02   844.52   <2e-16 ***
DESTIN_GRID1443            1.577e+01  5.955e-03  2648.65   <2e-16 ***
DESTIN_GRID1444            1.657e+01  6.000e-03  2761.54   <2e-16 ***
DESTIN_GRID1452            1.673e+01  3.729e-03  4485.02   <2e-16 ***
DESTIN_GRID1453            1.586e+01  5.265e-03  3011.25   <2e-16 ***
DESTIN_GRID1454            1.474e+01  1.123e-02  1312.57   <2e-16 ***
DESTIN_GRID1455            1.553e+01  7.134e-03  2176.56   <2e-16 ***
DESTIN_GRID1456            1.575e+01  5.905e-03  2666.55   <2e-16 ***
DESTIN_GRID1457            1.645e+01  4.641e-03  3545.62   <2e-16 ***
DESTIN_GRID1458            1.726e+01  3.067e-03  5625.73   <2e-16 ***
DESTIN_GRID1459            1.468e+01  8.200e-03  1790.27   <2e-16 ***
DESTIN_GRID1460            1.592e+01  4.606e-03  3457.06   <2e-16 ***
DESTIN_GRID1461            1.569e+01  6.660e-03  2355.54   <2e-16 ***
DESTIN_GRID1464            1.546e+01  7.155e-03  2160.80   <2e-16 ***
DESTIN_GRID1465            1.502e+01  1.051e-02  1429.55   <2e-16 ***
DESTIN_GRID1472            1.555e+01  7.284e-03  2134.64   <2e-16 ***
DESTIN_GRID1473            1.651e+01  4.102e-03  4024.46   <2e-16 ***
DESTIN_GRID1474            1.646e+01  3.889e-03  4233.58   <2e-16 ***
DESTIN_GRID1475            1.623e+01  4.472e-03  3628.91   <2e-16 ***
DESTIN_GRID1476            1.531e+01  7.210e-03  2124.02   <2e-16 ***
DESTIN_GRID1477            1.721e+01  2.970e-03  5795.35   <2e-16 ***
DESTIN_GRID1478            1.562e+01  5.348e-03  2920.12   <2e-16 ***
DESTIN_GRID1479            1.480e+01  7.555e-03  1958.91   <2e-16 ***
DESTIN_GRID1480            1.712e+01  3.044e-03  5623.46   <2e-16 ***
DESTIN_GRID1481            1.576e+01  6.038e-03  2609.84   <2e-16 ***
DESTIN_GRID1482            1.671e+01  5.071e-03  3295.77   <2e-16 ***
DESTIN_GRID1485            1.459e+01  1.247e-02  1170.03   <2e-16 ***
DESTIN_GRID1494            1.635e+01  4.651e-03  3514.25   <2e-16 ***
DESTIN_GRID1495            1.542e+01  6.131e-03  2515.13   <2e-16 ***
DESTIN_GRID1496            1.644e+01  3.913e-03  4200.19   <2e-16 ***
DESTIN_GRID1497            1.524e+01  7.375e-03  2066.56   <2e-16 ***
DESTIN_GRID1498            1.550e+01  6.273e-03  2471.15   <2e-16 ***
DESTIN_GRID1499            1.592e+01  4.665e-03  3412.55   <2e-16 ***
DESTIN_GRID1500            1.526e+01  8.453e-03  1805.54   <2e-16 ***
DESTIN_GRID1501            1.616e+01  4.246e-03  3806.25   <2e-16 ***
DESTIN_GRID1502            1.613e+01  4.566e-03  3532.03   <2e-16 ***
DESTIN_GRID1506            1.260e+01  6.291e-02   200.31   <2e-16 ***
DESTIN_GRID1515            1.516e+01  1.379e-02  1099.43   <2e-16 ***
DESTIN_GRID1516            1.653e+01  3.899e-03  4239.85   <2e-16 ***
DESTIN_GRID1517            1.555e+01  6.579e-03  2363.28   <2e-16 ***
DESTIN_GRID1518            1.503e+01  7.910e-03  1899.97   <2e-16 ***
DESTIN_GRID1519            1.554e+01  7.936e-03  1958.72   <2e-16 ***
DESTIN_GRID1520            1.566e+01  5.444e-03  2876.65   <2e-16 ***
DESTIN_GRID1521            1.502e+01  7.545e-03  1990.67   <2e-16 ***
DESTIN_GRID1522            1.589e+01  5.040e-03  3153.74   <2e-16 ***
DESTIN_GRID1523            1.707e+01  4.553e-03  3748.24   <2e-16 ***
DESTIN_GRID1524            1.493e+01  1.159e-02  1288.74   <2e-16 ***
DESTIN_GRID1527            1.335e+01  2.855e-02   467.54   <2e-16 ***
DESTIN_GRID1535            1.393e+01  5.036e-02   276.66   <2e-16 ***
DESTIN_GRID1536            1.410e+01  2.168e-02   650.55   <2e-16 ***
DESTIN_GRID1537            1.590e+01  6.055e-03  2625.97   <2e-16 ***
DESTIN_GRID1538            1.574e+01  5.322e-03  2957.38   <2e-16 ***
DESTIN_GRID1539            1.586e+01  4.776e-03  3320.36   <2e-16 ***
DESTIN_GRID1540            1.531e+01  6.220e-03  2461.28   <2e-16 ***
DESTIN_GRID1541            1.631e+01  6.543e-03  2492.81   <2e-16 ***
DESTIN_GRID1542            1.499e+01  9.584e-03  1563.98   <2e-16 ***
DESTIN_GRID1543            1.471e+01  2.555e-02   575.80   <2e-16 ***
DESTIN_GRID1544            1.519e+01  8.997e-03  1688.26   <2e-16 ***
DESTIN_GRID1547            1.497e+01  1.482e-02  1009.93   <2e-16 ***
DESTIN_GRID1556            1.344e+01  5.896e-02   227.98   <2e-16 ***
DESTIN_GRID1557            1.456e+01  1.579e-02   922.08   <2e-16 ***
DESTIN_GRID1558            1.607e+01  1.243e-02  1293.21   <2e-16 ***
DESTIN_GRID1559            1.630e+01  4.197e-03  3883.83   <2e-16 ***
DESTIN_GRID1560            1.636e+01  4.077e-03  4013.94   <2e-16 ***
DESTIN_GRID1561            1.576e+01  6.511e-03  2420.74   <2e-16 ***
DESTIN_GRID1562            1.343e+01  1.673e-02   802.56   <2e-16 ***
DESTIN_GRID1563            1.453e+01  9.176e-03  1583.34   <2e-16 ***
DESTIN_GRID1564            1.501e+01  8.225e-03  1824.60   <2e-16 ***
DESTIN_GRID1565            1.576e+01  6.336e-03  2487.30   <2e-16 ***
DESTIN_GRID1566            1.410e+01  1.632e-02   863.88   <2e-16 ***
DESTIN_GRID1567            1.459e+01  1.732e-02   842.41   <2e-16 ***
DESTIN_GRID1568            1.531e+01  1.210e-02  1265.03   <2e-16 ***
DESTIN_GRID1578            1.269e+01  9.904e-02   128.09   <2e-16 ***
DESTIN_GRID1580            1.349e+01  2.369e-02   569.35   <2e-16 ***
DESTIN_GRID1581            1.604e+01  4.894e-03  3277.16   <2e-16 ***
DESTIN_GRID1582            1.620e+01  4.201e-03  3857.10   <2e-16 ***
DESTIN_GRID1583            1.461e+01  1.989e-02   734.36   <2e-16 ***
DESTIN_GRID1584            1.444e+01  1.204e-02  1199.37   <2e-16 ***
DESTIN_GRID1585            1.527e+01  7.579e-03  2014.82   <2e-16 ***
DESTIN_GRID1586            1.601e+01  5.279e-03  3031.65   <2e-16 ***
DESTIN_GRID1589            1.484e+01  1.285e-02  1154.87   <2e-16 ***
DESTIN_GRID1590            1.534e+01  1.314e-02  1167.02   <2e-16 ***
DESTIN_GRID1600            1.541e+01  1.407e-02  1094.95   <2e-16 ***
DESTIN_GRID1601            1.507e+01  7.227e-03  2085.22   <2e-16 ***
DESTIN_GRID1602            1.558e+01  6.663e-03  2338.48   <2e-16 ***
DESTIN_GRID1603            1.659e+01  4.207e-03  3942.20   <2e-16 ***
DESTIN_GRID1604            1.431e+01  1.029e-02  1391.51   <2e-16 ***
DESTIN_GRID1605            1.540e+01  5.833e-03  2639.43   <2e-16 ***
DESTIN_GRID1606            1.495e+01  1.323e-02  1129.87   <2e-16 ***
DESTIN_GRID1607            1.627e+01  4.485e-03  3627.64   <2e-16 ***
DESTIN_GRID1608            1.560e+01  6.305e-03  2474.36   <2e-16 ***
DESTIN_GRID1609            1.627e+01  5.255e-03  3095.13   <2e-16 ***
DESTIN_GRID1610            1.433e+01  2.556e-02   560.59   <2e-16 ***
DESTIN_GRID1622            1.613e+01  1.072e-02  1503.68   <2e-16 ***
DESTIN_GRID1623            1.609e+01  4.518e-03  3560.68   <2e-16 ***
DESTIN_GRID1624            1.667e+01  4.054e-03  4111.63   <2e-16 ***
DESTIN_GRID1625            1.576e+01  5.744e-03  2742.95   <2e-16 ***
DESTIN_GRID1626            1.757e+01  2.854e-03  6155.66   <2e-16 ***
DESTIN_GRID1627            1.451e+01  8.846e-03  1639.75   <2e-16 ***
DESTIN_GRID1628            1.669e+01  3.809e-03  4381.77   <2e-16 ***
DESTIN_GRID1629            1.403e+01  1.403e-02   999.85   <2e-16 ***
DESTIN_GRID1630            1.456e+01  1.131e-02  1286.55   <2e-16 ***
DESTIN_GRID1631            1.407e+01  1.873e-02   751.47   <2e-16 ***
DESTIN_GRID1642            1.347e+01  3.170e-02   424.99   <2e-16 ***
DESTIN_GRID1643            1.562e+01  5.945e-03  2627.34   <2e-16 ***
DESTIN_GRID1644            1.555e+01  8.038e-03  1934.52   <2e-16 ***
DESTIN_GRID1645            1.546e+01  6.343e-03  2436.84   <2e-16 ***
DESTIN_GRID1646            1.561e+01  7.736e-03  2018.56   <2e-16 ***
DESTIN_GRID1647            1.519e+01  6.162e-03  2464.99   <2e-16 ***
DESTIN_GRID1648            1.537e+01  5.906e-03  2602.53   <2e-16 ***
DESTIN_GRID1649            1.609e+01  4.418e-03  3641.47   <2e-16 ***
DESTIN_GRID1650            1.533e+01  7.411e-03  2068.86   <2e-16 ***
DESTIN_GRID1664            1.193e+01  1.163e-01   102.63   <2e-16 ***
DESTIN_GRID1665            1.623e+01  4.304e-03  3771.41   <2e-16 ***
DESTIN_GRID1666            1.623e+01  4.286e-03  3787.30   <2e-16 ***
DESTIN_GRID1667            1.503e+01  1.577e-02   953.45   <2e-16 ***
DESTIN_GRID1668            1.518e+01  6.818e-03  2226.10   <2e-16 ***
DESTIN_GRID1670            1.590e+01  4.748e-03  3348.95   <2e-16 ***
DESTIN_GRID1671            1.536e+01  1.044e-02  1471.63   <2e-16 ***
DESTIN_GRID1672            1.462e+01  1.158e-02  1262.34   <2e-16 ***
DESTIN_GRID1684            1.580e+01  9.376e-03  1685.15   <2e-16 ***
DESTIN_GRID1685            1.492e+01  8.707e-03  1713.47   <2e-16 ***
DESTIN_GRID1686            1.559e+01  5.846e-03  2667.38   <2e-16 ***
DESTIN_GRID1687            1.608e+01  6.832e-03  2354.33   <2e-16 ***
DESTIN_GRID1688            1.526e+01  6.809e-03  2240.73   <2e-16 ***
DESTIN_GRID1689            1.459e+01  9.682e-03  1507.23   <2e-16 ***
DESTIN_GRID1690            1.415e+01  1.255e-02  1127.85   <2e-16 ***
DESTIN_GRID1691            1.600e+01  4.611e-03  3469.51   <2e-16 ***
DESTIN_GRID1692            1.410e+01  1.350e-02  1044.08   <2e-16 ***
DESTIN_GRID1706            1.547e+01  7.667e-03  2018.29   <2e-16 ***
DESTIN_GRID1707            1.472e+01  8.105e-03  1815.89   <2e-16 ***
DESTIN_GRID1708            1.542e+01  6.325e-03  2438.44   <2e-16 ***
DESTIN_GRID1709            1.611e+01  4.871e-03  3306.82   <2e-16 ***
DESTIN_GRID1710            1.605e+01  5.261e-03  3051.37   <2e-16 ***
DESTIN_GRID1711            1.675e+01  3.750e-03  4466.79   <2e-16 ***
DESTIN_GRID1712            1.587e+01  4.517e-03  3514.08   <2e-16 ***
DESTIN_GRID1713            1.349e+01  1.515e-02   890.85   <2e-16 ***
DESTIN_GRID1714            1.503e+01  8.129e-03  1848.61   <2e-16 ***
DESTIN_GRID1727            1.597e+01  5.516e-03  2896.10   <2e-16 ***
DESTIN_GRID1728            1.598e+01  4.703e-03  3397.16   <2e-16 ***
DESTIN_GRID1729            1.620e+01  4.481e-03  3614.69   <2e-16 ***
DESTIN_GRID1730            1.518e+01  8.736e-03  1737.76   <2e-16 ***
DESTIN_GRID1731            1.596e+01  5.315e-03  3003.72   <2e-16 ***
DESTIN_GRID1732            1.578e+01  4.791e-03  3293.61   <2e-16 ***
DESTIN_GRID1733            1.456e+01  8.072e-03  1803.71   <2e-16 ***
DESTIN_GRID1734            1.573e+01  4.925e-03  3194.68   <2e-16 ***
DESTIN_GRID1735            1.512e+01  1.377e-02  1097.61   <2e-16 ***
DESTIN_GRID1748            1.507e+01  8.805e-03  1711.38   <2e-16 ***
DESTIN_GRID1749            1.628e+01  4.229e-03  3848.40   <2e-16 ***
DESTIN_GRID1750            1.611e+01  4.488e-03  3589.54   <2e-16 ***
DESTIN_GRID1751            1.581e+01  6.303e-03  2507.85   <2e-16 ***
DESTIN_GRID1753            1.610e+01  4.690e-03  3432.56   <2e-16 ***
DESTIN_GRID1754            1.713e+01  3.040e-03  5635.13   <2e-16 ***
DESTIN_GRID1755            1.635e+01  3.756e-03  4352.85   <2e-16 ***
DESTIN_GRID1756            1.543e+01  5.619e-03  2745.93   <2e-16 ***
DESTIN_GRID1757            1.380e+01  2.174e-02   634.63   <2e-16 ***
DESTIN_GRID1769            1.556e+01  6.495e-03  2395.40   <2e-16 ***
DESTIN_GRID1770            1.526e+01  6.819e-03  2237.68   <2e-16 ***
DESTIN_GRID1771            1.637e+01  5.082e-03  3221.45   <2e-16 ***
DESTIN_GRID1772            1.735e+01  6.894e-03  2516.47   <2e-16 ***
DESTIN_GRID1774            1.513e+01  7.000e-03  2160.83   <2e-16 ***
DESTIN_GRID1775            1.461e+01  7.957e-03  1836.56   <2e-16 ***
DESTIN_GRID1776            1.699e+01  3.063e-03  5545.73   <2e-16 ***
DESTIN_GRID1777            1.514e+01  6.915e-03  2189.21   <2e-16 ***
DESTIN_GRID1778            1.417e+01  2.069e-02   684.79   <2e-16 ***
DESTIN_GRID1790            1.631e+01  5.117e-03  3187.15   <2e-16 ***
DESTIN_GRID1791            1.582e+01  5.914e-03  2675.35   <2e-16 ***
DESTIN_GRID1792            1.600e+01  7.033e-03  2275.02   <2e-16 ***
DESTIN_GRID1793            1.600e+01  5.805e-03  2756.45   <2e-16 ***
DESTIN_GRID1794            1.755e+01  7.311e-03  2400.06   <2e-16 ***
DESTIN_GRID1795            1.363e+01  2.146e-02   635.12   <2e-16 ***
DESTIN_GRID1796            1.568e+01  5.538e-03  2831.76   <2e-16 ***
DESTIN_GRID1797            1.535e+01  5.580e-03  2750.16   <2e-16 ***
DESTIN_GRID1798            1.557e+01  5.286e-03  2945.32   <2e-16 ***
DESTIN_GRID1799            1.487e+01  9.028e-03  1647.32   <2e-16 ***
DESTIN_GRID1800            1.317e+01  5.017e-02   262.58   <2e-16 ***
DESTIN_GRID1811            1.540e+01  7.525e-03  2046.46   <2e-16 ***
DESTIN_GRID1812            1.674e+01  3.667e-03  4563.96   <2e-16 ***
DESTIN_GRID1813            1.687e+01  3.603e-03  4682.87   <2e-16 ***
DESTIN_GRID1817            1.415e+01  1.183e-02  1195.44   <2e-16 ***
DESTIN_GRID1818            1.518e+01  6.114e-03  2482.09   <2e-16 ***
DESTIN_GRID1819            1.702e+01  3.083e-03  5520.93   <2e-16 ***
DESTIN_GRID1820            1.253e+01  4.104e-02   305.33   <2e-16 ***
DESTIN_GRID1832            1.675e+01  4.383e-03  3820.68   <2e-16 ***
DESTIN_GRID1833            1.537e+01  6.968e-03  2205.13   <2e-16 ***
DESTIN_GRID1834            1.526e+01  6.807e-03  2241.86   <2e-16 ***
DESTIN_GRID1835            1.542e+01  7.523e-03  2049.03   <2e-16 ***
DESTIN_GRID1837            1.546e+01  1.377e-02  1122.73   <2e-16 ***
DESTIN_GRID1839            1.421e+01  1.149e-02  1236.39   <2e-16 ***
DESTIN_GRID1840            1.674e+01  3.408e-03  4910.42   <2e-16 ***
DESTIN_GRID1841            1.357e+01  2.221e-02   611.01   <2e-16 ***
DESTIN_GRID1842            1.525e+01  1.437e-02  1061.10   <2e-16 ***
DESTIN_GRID1853            1.569e+01  5.955e-03  2635.24   <2e-16 ***
DESTIN_GRID1854            1.606e+01  5.166e-03  3108.42   <2e-16 ***
DESTIN_GRID1855            1.637e+01  4.725e-03  3464.83   <2e-16 ***
DESTIN_GRID1858            1.628e+01  8.553e-03  1903.46   <2e-16 ***
DESTIN_GRID1860            1.471e+01  1.787e-02   822.98   <2e-16 ***
DESTIN_GRID1861            1.542e+01  6.331e-03  2435.25   <2e-16 ***
DESTIN_GRID1874            1.544e+01  9.333e-03  1654.10   <2e-16 ***
DESTIN_GRID1875            1.381e+01  1.967e-02   702.01   <2e-16 ***
DESTIN_GRID1876            1.498e+01  2.159e-02   693.87   <2e-16 ***
DESTIN_GRID1877            1.610e+01  5.052e-03  3186.87   <2e-16 ***
DESTIN_GRID1880            1.537e+01  1.398e-02  1098.91   <2e-16 ***
DESTIN_GRID1882            1.550e+01  6.361e-03  2436.24   <2e-16 ***
DESTIN_GRID1883            1.425e+01  1.909e-02   746.23   <2e-16 ***
DESTIN_GRID1895            1.600e+01  5.641e-03  2837.03   <2e-16 ***
DESTIN_GRID1896            1.516e+01  7.857e-03  1929.49   <2e-16 ***
DESTIN_GRID1897            1.451e+01  1.166e-02  1244.08   <2e-16 ***
DESTIN_GRID1898            1.406e+01  2.380e-02   591.04   <2e-16 ***
DESTIN_GRID1901            1.502e+01  2.095e-02   717.14   <2e-16 ***
DESTIN_GRID1903            1.404e+01  1.694e-02   829.09   <2e-16 ***
DESTIN_GRID1917            1.509e+01  8.802e-03  1713.94   <2e-16 ***
DESTIN_GRID1918            1.630e+01  6.241e-03  2611.76   <2e-16 ***
DESTIN_GRID1919            1.630e+01  4.751e-03  3431.41   <2e-16 ***
DESTIN_GRID1922            1.604e+01  1.023e-02  1567.21   <2e-16 ***
DESTIN_GRID1924            1.386e+01  1.864e-02   743.63   <2e-16 ***
DESTIN_GRID1937            1.553e+01  7.699e-03  2017.63   <2e-16 ***
DESTIN_GRID1938            1.637e+01  4.630e-03  3535.80   <2e-16 ***
DESTIN_GRID1939            1.528e+01  8.102e-03  1886.25   <2e-16 ***
DESTIN_GRID1942            1.464e+01  1.996e-02   733.69   <2e-16 ***
DESTIN_GRID1959            1.518e+01  9.238e-03  1643.52   <2e-16 ***
DESTIN_GRID1960            1.751e+01  2.872e-03  6096.53   <2e-16 ***
DESTIN_GRID1961            1.477e+01  1.003e-02  1472.17   <2e-16 ***
DESTIN_GRID1962            1.570e+01  6.276e-03  2500.75   <2e-16 ***
DESTIN_GRID1964            1.651e+01  1.122e-02  1471.51   <2e-16 ***
DESTIN_GRID1979            1.552e+01  8.557e-03  1813.88   <2e-16 ***
DESTIN_GRID1980            1.544e+01  6.701e-03  2304.55   <2e-16 ***
DESTIN_GRID1981            1.533e+01  7.315e-03  2096.34   <2e-16 ***
DESTIN_GRID1982            1.581e+01  7.176e-03  2202.55   <2e-16 ***
DESTIN_GRID1983            1.567e+01  6.246e-03  2508.48   <2e-16 ***
DESTIN_GRID1984            1.575e+01  6.381e-03  2467.68   <2e-16 ***
DESTIN_GRID1985            1.598e+01  5.832e-03  2740.07   <2e-16 ***
DESTIN_GRID2001            1.559e+01  6.696e-03  2328.60   <2e-16 ***
DESTIN_GRID2002            1.578e+01  5.116e-03  3084.03   <2e-16 ***
DESTIN_GRID2003            1.622e+01  4.511e-03  3596.66   <2e-16 ***
DESTIN_GRID2004            1.652e+01  4.346e-03  3801.21   <2e-16 ***
DESTIN_GRID2005            1.554e+01  6.405e-03  2426.09   <2e-16 ***
DESTIN_GRID2006            1.656e+01  4.693e-03  3528.27   <2e-16 ***
DESTIN_GRID2007            1.334e+01  2.806e-02   475.38   <2e-16 ***
DESTIN_GRID2022            1.623e+01  6.438e-03  2521.21   <2e-16 ***
DESTIN_GRID2023            1.608e+01  4.865e-03  3305.10   <2e-16 ***
DESTIN_GRID2024            1.639e+01  4.142e-03  3956.23   <2e-16 ***
DESTIN_GRID2025            1.529e+01  6.570e-03  2327.30   <2e-16 ***
DESTIN_GRID2026            1.460e+01  1.128e-02  1294.09   <2e-16 ***
DESTIN_GRID2027            1.645e+01  4.604e-03  3573.43   <2e-16 ***
DESTIN_GRID2043            1.480e+01  1.089e-02  1359.47   <2e-16 ***
DESTIN_GRID2044            1.555e+01  6.281e-03  2475.29   <2e-16 ***
DESTIN_GRID2045            1.484e+01  1.197e-02  1239.48   <2e-16 ***
DESTIN_GRID2046            1.644e+01  3.809e-03  4316.47   <2e-16 ***
DESTIN_GRID2047            1.472e+01  9.059e-03  1624.46   <2e-16 ***
DESTIN_GRID2048            1.494e+01  8.374e-03  1783.86   <2e-16 ***
DESTIN_GRID2049            1.315e+01  2.727e-02   482.39   <2e-16 ***
DESTIN_GRID2064            1.552e+01  7.304e-03  2125.52   <2e-16 ***
DESTIN_GRID2065            1.522e+01  7.760e-03  1961.80   <2e-16 ***
DESTIN_GRID2066            1.326e+01  3.124e-02   424.46   <2e-16 ***
DESTIN_GRID2067            1.783e+01  2.656e-03  6713.96   <2e-16 ***
DESTIN_GRID2068            1.477e+01  1.248e-02  1183.41   <2e-16 ***
DESTIN_GRID2069            1.520e+01  8.181e-03  1857.73   <2e-16 ***
DESTIN_GRID2085            1.552e+01  7.923e-03  1959.41   <2e-16 ***
DESTIN_GRID2086            1.688e+01  3.912e-03  4315.02   <2e-16 ***
DESTIN_GRID2087            1.658e+01  4.189e-03  3957.82   <2e-16 ***
DESTIN_GRID2088            1.546e+01  5.789e-03  2671.01   <2e-16 ***
DESTIN_GRID2089            1.497e+01  9.057e-03  1653.14   <2e-16 ***
DESTIN_GRID2090            1.755e+01  2.970e-03  5910.62   <2e-16 ***
DESTIN_GRID2091            1.259e+01  6.170e-02   204.01   <2e-16 ***
DESTIN_GRID2105            1.621e+01  7.541e-02   214.92   <2e-16 ***
DESTIN_GRID2106            1.415e+01  1.516e-02   933.37   <2e-16 ***
DESTIN_GRID2107            1.684e+01  3.977e-03  4233.39   <2e-16 ***
DESTIN_GRID2108            1.642e+01  4.748e-03  3458.45   <2e-16 ***
DESTIN_GRID2109            1.522e+01  6.508e-03  2338.23   <2e-16 ***
DESTIN_GRID2110            1.443e+01  1.189e-02  1213.98   <2e-16 ***
DESTIN_GRID2111            1.341e+01  3.284e-02   408.35   <2e-16 ***
DESTIN_GRID2128            1.584e+01  9.206e-03  1720.21   <2e-16 ***
DESTIN_GRID2129            1.553e+01  9.863e-03  1574.91   <2e-16 ***
DESTIN_GRID2130            1.555e+01  5.509e-03  2822.50   <2e-16 ***
DESTIN_GRID2131            1.547e+01  7.303e-03  2118.28   <2e-16 ***
DESTIN_GRID2132            1.529e+01  7.398e-03  2067.04   <2e-16 ***
DESTIN_GRID2148            1.519e+01  1.415e-02  1073.57   <2e-16 ***
DESTIN_GRID2149            1.499e+01  1.082e-02  1385.84   <2e-16 ***
DESTIN_GRID2150            1.527e+01  7.976e-03  1914.58   <2e-16 ***
DESTIN_GRID2151            1.695e+01  3.366e-03  5037.14   <2e-16 ***
DESTIN_GRID2152            1.595e+01  5.308e-03  3006.03   <2e-16 ***
DESTIN_GRID2153            1.482e+01  1.121e-02  1322.74   <2e-16 ***
DESTIN_GRID2171            1.618e+01  5.525e-03  2928.84   <2e-16 ***
DESTIN_GRID2172            1.446e+01  1.129e-02  1280.61   <2e-16 ***
DESTIN_GRID2173            1.502e+01  7.464e-03  2012.25   <2e-16 ***
DESTIN_GRID2174            1.564e+01  6.929e-03  2257.54   <2e-16 ***
DESTIN_GRID2191            1.642e+01  7.436e-03  2207.88   <2e-16 ***
DESTIN_GRID2192            1.509e+01  1.069e-02  1411.70   <2e-16 ***
DESTIN_GRID2193            1.577e+01  6.206e-03  2541.53   <2e-16 ***
DESTIN_GRID2194            1.574e+01  5.970e-03  2636.81   <2e-16 ***
DESTIN_GRID2195            1.447e+01  3.387e-02   427.15   <2e-16 ***
DESTIN_GRID2212            1.658e+01  1.331e-02  1246.25   <2e-16 ***
DESTIN_GRID2213            1.611e+01  8.185e-03  1967.85   <2e-16 ***
DESTIN_GRID2214            1.686e+01  6.938e-03  2430.65   <2e-16 ***
DESTIN_GRID2215            1.509e+01  9.310e-03  1620.31   <2e-16 ***
DESTIN_GRID2216            1.599e+01  6.077e-03  2631.24   <2e-16 ***
DESTIN_GRID2233            1.670e+01  9.760e-03  1710.92   <2e-16 ***
DESTIN_GRID2234            1.719e+01  8.171e-03  2103.37   <2e-16 ***
DESTIN_GRID2235            1.593e+01  9.084e-03  1753.70   <2e-16 ***
DESTIN_GRID2236            1.451e+01  1.354e-02  1071.76   <2e-16 ***
DESTIN_GRID2237            1.599e+01  1.152e-02  1387.61   <2e-16 ***
DESTIN_GRID2256            1.605e+01  1.256e-02  1277.95   <2e-16 ***
DESTIN_GRID2257            1.381e+01  2.590e-02   533.13   <2e-16 ***
DESTIN_GRID2258            1.571e+01  7.533e-03  2085.01   <2e-16 ***
DESTIN_GRID2259            1.681e+01  1.016e-02  1654.97   <2e-16 ***
DESTIN_GRID2277            1.512e+01  2.459e-02   615.06   <2e-16 ***
DESTIN_GRID2278            1.517e+01  1.568e-02   967.68   <2e-16 ***
DESTIN_GRID2279            1.590e+01  7.489e-03  2123.40   <2e-16 ***
DESTIN_GRID2280            1.433e+01  3.173e-02   451.79   <2e-16 ***
DESTIN_GRID2297            1.519e+01  1.609e-02   943.69   <2e-16 ***
DESTIN_GRID2300            1.489e+01  1.980e-02   751.92   <2e-16 ***
DESTIN_GRID2301            1.540e+01  9.910e-03  1553.71   <2e-16 ***
DESTIN_GRID2318            1.718e+01  5.828e-03  2948.22   <2e-16 ***
DESTIN_GRID2319            1.725e+01  5.332e-03  3234.90   <2e-16 ***
DESTIN_GRID2322            1.575e+01  9.488e-03  1659.78   <2e-16 ***
DESTIN_GRID2337            1.686e+01  1.561e-02  1080.01   <2e-16 ***
DESTIN_GRID2341            1.743e+01  5.192e-03  3357.46   <2e-16 ***
DESTIN_GRID2343            1.500e+01  1.276e-02  1175.46   <2e-16 ***
DESTIN_GRID2361            1.629e+01  8.859e-03  1839.17   <2e-16 ***
DESTIN_GRID2364            1.381e+01  2.961e-02   466.46   <2e-16 ***
DESTIN_GRID2379            1.604e+01  2.506e-02   640.16   <2e-16 ***
DESTIN_GRID2384            1.692e+01  6.803e-03  2487.22   <2e-16 ***
DESTIN_GRID2405            1.753e+01  5.009e-03  3499.87   <2e-16 ***
DESTIN_GRID2406            1.447e+01  2.398e-02   603.70   <2e-16 ***
DESTIN_GRID2426            1.692e+01  1.113e-02  1520.14   <2e-16 ***
DESTIN_GRID2427            1.712e+01  6.836e-03  2504.45   <2e-16 ***
DESTIN_GRID2505            1.740e+01  1.824e-02   954.04   <2e-16 ***
log(ORIGIN_BS_COUNT)       4.287e-01  5.276e-04   812.49   <2e-16 ***
log(ORIGIN_BIZ_COUNT)     -1.812e-01  2.214e-04  -818.56   <2e-16 ***
log(ORIGIN_FINSERV_COUNT)  7.995e-02  2.528e-04   316.26   <2e-16 ***
log(ORIGIN_MRTEXIT_COUNT)  2.662e-01  4.018e-04   662.58   <2e-16 ***
log(ORIGIN_SCHOOLS_COUNT) -1.834e-02  6.536e-04   -28.06   <2e-16 ***
log(ORIGIN_DWELLINGS)      1.316e-01  9.296e-05  1415.85   <2e-16 ***
log(DISTANCE)             -1.484e+00  2.652e-04 -5597.67   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 327461307  on 65105  degrees of freedom
Residual deviance:  32758077  on 64283  degrees of freedom
AIC: 33117718

Number of Fisher Scoring iterations: 8
dbcSIM_Poisson2 <- glm(formula = TRIPS ~ 
                ORIGIN_GRID + 
                DESTIN_GRID +
                log(DISTANCE),
              family = poisson(link = "log"),
              data = SIM_data1,
              na.action = na.exclude)
summary(dbcSIM_Poisson2)

Call:
glm(formula = TRIPS ~ ORIGIN_GRID + DESTIN_GRID + log(DISTANCE), 
    family = poisson(link = "log"), data = SIM_data1, na.action = na.exclude)

Coefficients:
                 Estimate Std. Error   z value Pr(>|z|)    
(Intercept)     15.428055   0.110130   140.089  < 2e-16 ***
ORIGIN_GRID44   -2.219170   0.170971   -12.980  < 2e-16 ***
ORIGIN_GRID46   -0.936894   0.132983    -7.045 1.85e-12 ***
ORIGIN_GRID66   -1.625813   0.160187   -10.149  < 2e-16 ***
ORIGIN_GRID67    1.232576   0.102802    11.990  < 2e-16 ***
ORIGIN_GRID68   -1.599935   0.163799    -9.768  < 2e-16 ***
ORIGIN_GRID86   -0.907294   0.122481    -7.408 1.29e-13 ***
ORIGIN_GRID87   -0.129875   0.129177    -1.005 0.314700    
ORIGIN_GRID88    1.864847   0.101389    18.393  < 2e-16 ***
ORIGIN_GRID89    0.304596   0.112060     2.718 0.006565 ** 
ORIGIN_GRID90    0.419663   0.166341     2.523 0.011639 *  
ORIGIN_GRID109  -0.052469   0.141302    -0.371 0.710394    
ORIGIN_GRID110   0.243005   0.123533     1.967 0.049169 *  
ORIGIN_GRID111   3.663680   0.101014    36.269  < 2e-16 ***
ORIGIN_GRID112  -0.474044   0.119007    -3.983 6.80e-05 ***
ORIGIN_GRID128   2.814357   0.104311    26.981  < 2e-16 ***
ORIGIN_GRID129  -0.213380   0.214379    -0.995 0.319572    
ORIGIN_GRID130  -0.093467   0.117103    -0.798 0.424777    
ORIGIN_GRID131   0.055291   0.106384     0.520 0.603253    
ORIGIN_GRID132  -0.163382   0.111110    -1.470 0.141440    
ORIGIN_GRID133   0.642007   0.106901     6.006 1.91e-09 ***
ORIGIN_GRID134   3.583719   0.103568    34.603  < 2e-16 ***
ORIGIN_GRID150   3.696681   0.102231    36.160  < 2e-16 ***
ORIGIN_GRID151   0.706022   0.116325     6.069 1.28e-09 ***
ORIGIN_GRID152   0.166779   0.129270     1.290 0.196995    
ORIGIN_GRID153   0.921877   0.108720     8.479  < 2e-16 ***
ORIGIN_GRID154   3.581361   0.100399    35.671  < 2e-16 ***
ORIGIN_GRID155   0.788284   0.105307     7.486 7.12e-14 ***
ORIGIN_GRID156   1.689768   0.107457    15.725  < 2e-16 ***
ORIGIN_GRID172   1.772778   0.126052    14.064  < 2e-16 ***
ORIGIN_GRID174   0.676766   0.110637     6.117 9.53e-10 ***
ORIGIN_GRID175   3.452473   0.100754    34.266  < 2e-16 ***
ORIGIN_GRID176   4.363475   0.100238    43.531  < 2e-16 ***
ORIGIN_GRID195  -0.570923   0.128976    -4.427 9.57e-06 ***
ORIGIN_GRID196   0.377320   0.108679     3.472 0.000517 ***
ORIGIN_GRID197  -0.182573   0.148715    -1.228 0.219570    
ORIGIN_GRID215   0.702994   0.129947     5.410 6.31e-08 ***
ORIGIN_GRID216   4.821821   0.100425    48.014  < 2e-16 ***
ORIGIN_GRID217   2.047858   0.102298    20.019  < 2e-16 ***
ORIGIN_GRID237  -0.796881   0.185687    -4.292 1.77e-05 ***
ORIGIN_GRID238   0.870166   0.112527     7.733 1.05e-14 ***
ORIGIN_GRID239   0.147030   0.187300     0.785 0.432455    
ORIGIN_GRID257  -0.286051   0.115354    -2.480 0.013147 *  
ORIGIN_GRID258   1.658295   0.103900    15.961  < 2e-16 ***
ORIGIN_GRID259   0.998175   0.108085     9.235  < 2e-16 ***
ORIGIN_GRID278   0.472308   0.107644     4.388 1.15e-05 ***
ORIGIN_GRID279   0.146477   0.109182     1.342 0.179732    
ORIGIN_GRID280   0.721200   0.109978     6.558 5.47e-11 ***
ORIGIN_GRID298  -2.980795   0.348397    -8.556  < 2e-16 ***
ORIGIN_GRID299  -0.341094   0.112004    -3.045 0.002324 ** 
ORIGIN_GRID300   3.609886   0.100658    35.863  < 2e-16 ***
ORIGIN_GRID320  -1.151353   0.118943    -9.680  < 2e-16 ***
ORIGIN_GRID321   0.873820   0.123231     7.091 1.33e-12 ***
ORIGIN_GRID322   1.469203   0.110586    13.286  < 2e-16 ***
ORIGIN_GRID340   1.235329   0.104133    11.863  < 2e-16 ***
ORIGIN_GRID341  -0.435590   0.109666    -3.972 7.13e-05 ***
ORIGIN_GRID342   0.779151   0.108437     7.185 6.71e-13 ***
ORIGIN_GRID363   0.910917   0.106992     8.514  < 2e-16 ***
ORIGIN_GRID364   1.712885   0.103774    16.506  < 2e-16 ***
ORIGIN_GRID383   0.643069   0.105085     6.119 9.39e-10 ***
ORIGIN_GRID384  -0.079556   0.113028    -0.704 0.481520    
ORIGIN_GRID385   1.154060   0.110422    10.451  < 2e-16 ***
ORIGIN_GRID404   1.405900   0.106066    13.255  < 2e-16 ***
ORIGIN_GRID405  -0.006858   0.111491    -0.062 0.950949    
ORIGIN_GRID406   5.544424   0.100302    55.277  < 2e-16 ***
ORIGIN_GRID407   1.550050   0.110144    14.073  < 2e-16 ***
ORIGIN_GRID408   2.309399   0.102902    22.443  < 2e-16 ***
ORIGIN_GRID425  -1.097861   0.133582    -8.219  < 2e-16 ***
ORIGIN_GRID426   0.873312   0.104551     8.353  < 2e-16 ***
ORIGIN_GRID427   0.714290   0.106335     6.717 1.85e-11 ***
ORIGIN_GRID428   0.486471   0.127007     3.830 0.000128 ***
ORIGIN_GRID429   1.568987   0.102886    15.250  < 2e-16 ***
ORIGIN_GRID446   0.441139   0.116448     3.788 0.000152 ***
ORIGIN_GRID447   0.045480   0.109753     0.414 0.678589    
ORIGIN_GRID448   1.412727   0.104097    13.571  < 2e-16 ***
ORIGIN_GRID449   4.724414   0.100504    47.007  < 2e-16 ***
ORIGIN_GRID450   1.577454   0.102233    15.430  < 2e-16 ***
ORIGIN_GRID468   1.637062   0.104049    15.734  < 2e-16 ***
ORIGIN_GRID469   2.351332   0.101809    23.095  < 2e-16 ***
ORIGIN_GRID470   4.723236   0.100431    47.030  < 2e-16 ***
ORIGIN_GRID471   2.602268   0.101633    25.605  < 2e-16 ***
ORIGIN_GRID488   0.223038   0.115693     1.928 0.053874 .  
ORIGIN_GRID489  -1.269911   0.269461    -4.713 2.44e-06 ***
ORIGIN_GRID490   3.257893   0.100948    32.273  < 2e-16 ***
ORIGIN_GRID491   3.733111   0.100586    37.114  < 2e-16 ***
ORIGIN_GRID493  -0.835699   0.171226    -4.881 1.06e-06 ***
ORIGIN_GRID494   1.129316   0.116434     9.699  < 2e-16 ***
ORIGIN_GRID509   0.356547   0.105929     3.366 0.000763 ***
ORIGIN_GRID510   0.946907   0.103337     9.163  < 2e-16 ***
ORIGIN_GRID511   2.672358   0.100864    26.495  < 2e-16 ***
ORIGIN_GRID512   5.278650   0.100363    52.596  < 2e-16 ***
ORIGIN_GRID513   1.910080   0.103180    18.512  < 2e-16 ***
ORIGIN_GRID514   1.773737   0.106920    16.589  < 2e-16 ***
ORIGIN_GRID515   0.197737   0.170284     1.161 0.245553    
ORIGIN_GRID530  -0.681816   0.128946    -5.288 1.24e-07 ***
ORIGIN_GRID531   1.482545   0.102420    14.475  < 2e-16 ***
ORIGIN_GRID532   1.158130   0.102915    11.253  < 2e-16 ***
ORIGIN_GRID533   5.048867   0.100363    50.306  < 2e-16 ***
ORIGIN_GRID534   4.750724   0.100487    47.277  < 2e-16 ***
ORIGIN_GRID536   2.330376   0.103499    22.516  < 2e-16 ***
ORIGIN_GRID537   0.291002   0.170191     1.710 0.087292 .  
ORIGIN_GRID538   0.200096   0.227549     0.879 0.379208    
ORIGIN_GRID539  -0.928258   0.586843    -1.582 0.113699    
ORIGIN_GRID551  -0.690573   0.113987    -6.058 1.38e-09 ***
ORIGIN_GRID552   1.906838   0.106962    17.827  < 2e-16 ***
ORIGIN_GRID553   1.343000   0.102084    13.156  < 2e-16 ***
ORIGIN_GRID554   4.286443   0.100481    42.659  < 2e-16 ***
ORIGIN_GRID555   4.350576   0.100564    43.262  < 2e-16 ***
ORIGIN_GRID559   0.830631   0.137291     6.050 1.45e-09 ***
ORIGIN_GRID560   3.176378   0.111087    28.594  < 2e-16 ***
ORIGIN_GRID572  -1.873775   0.245399    -7.636 2.25e-14 ***
ORIGIN_GRID573  -0.157598   0.109430    -1.440 0.149819    
ORIGIN_GRID574   1.454344   0.106612    13.641  < 2e-16 ***
ORIGIN_GRID575   5.973192   0.100337    59.531  < 2e-16 ***
ORIGIN_GRID576   4.577003   0.100436    45.571  < 2e-16 ***
ORIGIN_GRID578  -0.108419   0.146908    -0.738 0.460513    
ORIGIN_GRID582   0.194928   0.146973     1.326 0.184745    
ORIGIN_GRID583   0.046201   0.220773     0.209 0.834237    
ORIGIN_GRID584   3.381227   0.114627    29.498  < 2e-16 ***
ORIGIN_GRID593   1.182173   0.111907    10.564  < 2e-16 ***
ORIGIN_GRID594   0.985099   0.103669     9.502  < 2e-16 ***
ORIGIN_GRID595   1.257275   0.102246    12.297  < 2e-16 ***
ORIGIN_GRID596   4.355361   0.100407    43.377  < 2e-16 ***
ORIGIN_GRID597   1.389155   0.116328    11.942  < 2e-16 ***
ORIGIN_GRID603   0.819227   0.148141     5.530 3.20e-08 ***
ORIGIN_GRID604  -0.943222   0.286193    -3.296 0.000982 ***
ORIGIN_GRID615  -0.236730   0.109545    -2.161 0.030693 *  
ORIGIN_GRID616   0.918653   0.104451     8.795  < 2e-16 ***
ORIGIN_GRID617   1.820864   0.101812    17.885  < 2e-16 ***
ORIGIN_GRID618   4.978428   0.100389    49.591  < 2e-16 ***
ORIGIN_GRID620   2.055921   0.105461    19.495  < 2e-16 ***
ORIGIN_GRID637   0.672345   0.107714     6.242 4.32e-10 ***
ORIGIN_GRID638   4.466364   0.100405    44.483  < 2e-16 ***
ORIGIN_GRID657   2.337191   0.101648    22.993  < 2e-16 ***
ORIGIN_GRID658   3.795450   0.100525    37.756  < 2e-16 ***
ORIGIN_GRID659   4.025783   0.100466    40.071  < 2e-16 ***
ORIGIN_GRID660   5.174441   0.100375    51.551  < 2e-16 ***
ORIGIN_GRID662   5.114075   0.100616    50.828  < 2e-16 ***
ORIGIN_GRID677   2.218415   0.102845    21.571  < 2e-16 ***
ORIGIN_GRID678   0.149878   0.109402     1.370 0.170694    
ORIGIN_GRID679   5.023342   0.100389    50.039  < 2e-16 ***
ORIGIN_GRID680   5.267638   0.100387    52.474  < 2e-16 ***
ORIGIN_GRID681   3.953397   0.100675    39.269  < 2e-16 ***
ORIGIN_GRID699   1.768174   0.102736    17.211  < 2e-16 ***
ORIGIN_GRID700   3.963840   0.100507    39.439  < 2e-16 ***
ORIGIN_GRID701   3.876556   0.100510    38.569  < 2e-16 ***
ORIGIN_GRID702   4.971097   0.100383    49.521  < 2e-16 ***
ORIGIN_GRID704   2.035968   0.105316    19.332  < 2e-16 ***
ORIGIN_GRID722   1.818624   0.101903    17.847  < 2e-16 ***
ORIGIN_GRID725   1.328062   0.109394    12.140  < 2e-16 ***
ORIGIN_GRID741   2.248845   0.101679    22.117  < 2e-16 ***
ORIGIN_GRID743   2.503342   0.101072    24.768  < 2e-16 ***
ORIGIN_GRID744   4.553006   0.100421    45.339  < 2e-16 ***
ORIGIN_GRID761   1.695851   0.103981    16.309  < 2e-16 ***
ORIGIN_GRID762   3.755870   0.100582    37.341  < 2e-16 ***
ORIGIN_GRID763   0.949328   0.104047     9.124  < 2e-16 ***
ORIGIN_GRID764   5.057050   0.100382    50.378  < 2e-16 ***
ORIGIN_GRID765   4.034239   0.100656    40.079  < 2e-16 ***
ORIGIN_GRID767   6.082291   0.100403    60.579  < 2e-16 ***
ORIGIN_GRID772   1.049815   0.123723     8.485  < 2e-16 ***
ORIGIN_GRID784   1.119622   0.103032    10.867  < 2e-16 ***
ORIGIN_GRID785   4.141003   0.100419    41.237  < 2e-16 ***
ORIGIN_GRID786   3.885184   0.100503    38.657  < 2e-16 ***
ORIGIN_GRID787   4.517026   0.100585    44.907  < 2e-16 ***
ORIGIN_GRID788   5.311659   0.100474    52.866  < 2e-16 ***
ORIGIN_GRID789   3.709372   0.100878    36.771  < 2e-16 ***
ORIGIN_GRID803   0.164843   0.111611     1.477 0.139690    
ORIGIN_GRID804   4.784769   0.100416    47.649  < 2e-16 ***
ORIGIN_GRID805   4.768412   0.100385    47.501  < 2e-16 ***
ORIGIN_GRID806   4.471613   0.100417    44.530  < 2e-16 ***
ORIGIN_GRID807   5.394672   0.100424    53.719  < 2e-16 ***
ORIGIN_GRID808   3.761732   0.100917    37.276  < 2e-16 ***
ORIGIN_GRID809   5.468837   0.100393    54.474  < 2e-16 ***
ORIGIN_GRID810   4.870404   0.100498    48.463  < 2e-16 ***
ORIGIN_GRID814   2.863411   0.104234    27.471  < 2e-16 ***
ORIGIN_GRID824   0.836528   0.107467     7.784 7.03e-15 ***
ORIGIN_GRID826   2.442126   0.100819    24.223  < 2e-16 ***
ORIGIN_GRID827   4.427147   0.100403    44.094  < 2e-16 ***
ORIGIN_GRID828   4.833372   0.100395    48.143  < 2e-16 ***
ORIGIN_GRID829   4.895011   0.100432    48.740  < 2e-16 ***
ORIGIN_GRID830   5.098200   0.100466    50.746  < 2e-16 ***
ORIGIN_GRID831   6.036736   0.100375    60.142  < 2e-16 ***
ORIGIN_GRID832   5.172050   0.100538    51.444  < 2e-16 ***
ORIGIN_GRID835   2.413103   0.104673    23.054  < 2e-16 ***
ORIGIN_GRID844  -0.377479   0.127066    -2.971 0.002971 ** 
ORIGIN_GRID846   3.898871   0.100463    38.809  < 2e-16 ***
ORIGIN_GRID847   2.963264   0.100717    29.422  < 2e-16 ***
ORIGIN_GRID848   4.215784   0.100440    41.973  < 2e-16 ***
ORIGIN_GRID849   3.414444   0.100629    33.931  < 2e-16 ***
ORIGIN_GRID850   4.383411   0.100474    43.627  < 2e-16 ***
ORIGIN_GRID851   4.902027   0.100417    48.817  < 2e-16 ***
ORIGIN_GRID852   4.554673   0.100524    45.309  < 2e-16 ***
ORIGIN_GRID853   5.654077   0.100624    56.190  < 2e-16 ***
ORIGIN_GRID854   2.962389   0.103680    28.572  < 2e-16 ***
ORIGIN_GRID855   1.660765   0.109413    15.179  < 2e-16 ***
ORIGIN_GRID856   3.334632   0.102048    32.677  < 2e-16 ***
ORIGIN_GRID866   1.336915   0.105304    12.696  < 2e-16 ***
ORIGIN_GRID867   2.648514   0.101021    26.218  < 2e-16 ***
ORIGIN_GRID868   1.896801   0.101861    18.621  < 2e-16 ***
ORIGIN_GRID869   4.562355   0.100504    45.395  < 2e-16 ***
ORIGIN_GRID870   5.351426   0.100372    53.316  < 2e-16 ***
ORIGIN_GRID871   5.237448   0.100506    52.111  < 2e-16 ***
ORIGIN_GRID872   3.167956   0.100906    31.395  < 2e-16 ***
ORIGIN_GRID873   3.333257   0.100833    33.057  < 2e-16 ***
ORIGIN_GRID874   3.697041   0.100658    36.729  < 2e-16 ***
ORIGIN_GRID875   0.796849   0.123619     6.446 1.15e-10 ***
ORIGIN_GRID876   1.873170   0.105214    17.803  < 2e-16 ***
ORIGIN_GRID877   1.528639   0.108123    14.138  < 2e-16 ***
ORIGIN_GRID887   2.097114   0.101224    20.718  < 2e-16 ***
ORIGIN_GRID888   3.600593   0.100558    35.806  < 2e-16 ***
ORIGIN_GRID889   0.374758   0.105896     3.539 0.000402 ***
ORIGIN_GRID890   4.800718   0.100395    47.818  < 2e-16 ***
ORIGIN_GRID891   3.507819   0.100962    34.744  < 2e-16 ***
ORIGIN_GRID893   4.974349   0.100406    49.542  < 2e-16 ***
ORIGIN_GRID894   3.104606   0.100914    30.765  < 2e-16 ***
ORIGIN_GRID895   2.659106   0.101473    26.205  < 2e-16 ***
ORIGIN_GRID896   1.823228   0.103490    17.617  < 2e-16 ***
ORIGIN_GRID897   0.269783   0.119009     2.267 0.023395 *  
ORIGIN_GRID898   2.426968   0.104541    23.216  < 2e-16 ***
ORIGIN_GRID908   3.562172   0.101042    35.254  < 2e-16 ***
ORIGIN_GRID909   3.593391   0.100482    35.761  < 2e-16 ***
ORIGIN_GRID910   1.531059   0.101779    15.043  < 2e-16 ***
ORIGIN_GRID911   3.007292   0.100699    29.864  < 2e-16 ***
ORIGIN_GRID912   4.531915   0.100417    45.131  < 2e-16 ***
ORIGIN_GRID915   4.867272   0.100420    48.469  < 2e-16 ***
ORIGIN_GRID917   4.398635   0.100602    43.723  < 2e-16 ***
ORIGIN_GRID918   1.242189   0.106657    11.647  < 2e-16 ***
ORIGIN_GRID919   3.798224   0.100756    37.697  < 2e-16 ***
ORIGIN_GRID928   2.487941   0.101224    24.578  < 2e-16 ***
ORIGIN_GRID929   3.963284   0.100429    39.464  < 2e-16 ***
ORIGIN_GRID930   4.838054   0.100373    48.201  < 2e-16 ***
ORIGIN_GRID931   1.822699   0.101682    17.925  < 2e-16 ***
ORIGIN_GRID932   2.234369   0.101824    21.944  < 2e-16 ***
ORIGIN_GRID933   4.421416   0.100479    44.003  < 2e-16 ***
ORIGIN_GRID934   1.995203   0.101774    19.604  < 2e-16 ***
ORIGIN_GRID935   5.729593   0.100373    57.083  < 2e-16 ***
ORIGIN_GRID938  -1.730796   0.235670    -7.344 2.07e-13 ***
ORIGIN_GRID939   5.794609   0.100411    57.709  < 2e-16 ***
ORIGIN_GRID940   0.231537   0.117176     1.976 0.048158 *  
ORIGIN_GRID949   2.380511   0.101111    23.544  < 2e-16 ***
ORIGIN_GRID950   4.440232   0.100443    44.207  < 2e-16 ***
ORIGIN_GRID951   5.296631   0.100363    52.774  < 2e-16 ***
ORIGIN_GRID952   1.933853   0.102471    18.872  < 2e-16 ***
ORIGIN_GRID953   3.177983   0.100759    31.540  < 2e-16 ***
ORIGIN_GRID954   2.019375   0.101679    19.860  < 2e-16 ***
ORIGIN_GRID955   4.284430   0.100480    42.640  < 2e-16 ***
ORIGIN_GRID956   2.687911   0.100958    26.624  < 2e-16 ***
ORIGIN_GRID957   4.856976   0.100486    48.335  < 2e-16 ***
ORIGIN_GRID959   0.902362   0.111445     8.097 5.64e-16 ***
ORIGIN_GRID961   1.100112   0.104669    10.510  < 2e-16 ***
ORIGIN_GRID962  -3.744405   1.005027    -3.726 0.000195 ***
ORIGIN_GRID970   2.763876   0.100636    27.464  < 2e-16 ***
ORIGIN_GRID971   4.152716   0.100398    41.363  < 2e-16 ***
ORIGIN_GRID972   3.969401   0.100435    39.522  < 2e-16 ***
ORIGIN_GRID974   3.654383   0.100586    36.331  < 2e-16 ***
ORIGIN_GRID975   3.309878   0.100708    32.866  < 2e-16 ***
ORIGIN_GRID976   1.995917   0.101698    19.626  < 2e-16 ***
ORIGIN_GRID977   5.211658   0.100396    51.911  < 2e-16 ***
ORIGIN_GRID978   5.061477   0.100566    50.330  < 2e-16 ***
ORIGIN_GRID982   2.160575   0.101351    21.318  < 2e-16 ***
ORIGIN_GRID983   5.504667   0.100547    54.747  < 2e-16 ***
ORIGIN_GRID991   2.854616   0.100709    28.345  < 2e-16 ***
ORIGIN_GRID992   3.087489   0.100557    30.704  < 2e-16 ***
ORIGIN_GRID993   2.859934   0.100589    28.432  < 2e-16 ***
ORIGIN_GRID994   2.335604   0.100903    23.147  < 2e-16 ***
ORIGIN_GRID995   3.874558   0.100477    38.562  < 2e-16 ***
ORIGIN_GRID996   3.597745   0.100599    35.763  < 2e-16 ***
ORIGIN_GRID997   2.186295   0.104487    20.924  < 2e-16 ***
ORIGIN_GRID998   5.326838   0.100402    53.055  < 2e-16 ***
ORIGIN_GRID999   5.338982   0.100479    53.135  < 2e-16 ***
ORIGIN_GRID1001  2.239185   0.103326    21.671  < 2e-16 ***
ORIGIN_GRID1003  5.005877   0.100426    49.847  < 2e-16 ***
ORIGIN_GRID1004  5.179651   0.100424    51.578  < 2e-16 ***
ORIGIN_GRID1011  0.917173   0.104759     8.755  < 2e-16 ***
ORIGIN_GRID1012  0.818332   0.105250     7.775 7.54e-15 ***
ORIGIN_GRID1013  1.621995   0.101564    15.970  < 2e-16 ***
ORIGIN_GRID1014  2.373921   0.100883    23.531  < 2e-16 ***
ORIGIN_GRID1015  1.727908   0.101565    17.013  < 2e-16 ***
ORIGIN_GRID1016  3.580323   0.100572    35.599  < 2e-16 ***
ORIGIN_GRID1018  4.158831   0.100808    41.255  < 2e-16 ***
ORIGIN_GRID1019  5.780103   0.100441    57.547  < 2e-16 ***
ORIGIN_GRID1023  3.723841   0.100767    36.955  < 2e-16 ***
ORIGIN_GRID1024  4.866357   0.100438    48.452  < 2e-16 ***
ORIGIN_GRID1025  0.246308   0.111732     2.204 0.027492 *  
ORIGIN_GRID1033  2.271471   0.100939    22.504  < 2e-16 ***
ORIGIN_GRID1034  3.168576   0.100579    31.503  < 2e-16 ***
ORIGIN_GRID1035  3.868102   0.100470    38.500  < 2e-16 ***
ORIGIN_GRID1036  1.996672   0.101272    19.716  < 2e-16 ***
ORIGIN_GRID1037  3.150995   0.100564    31.333  < 2e-16 ***
ORIGIN_GRID1043  2.196658   0.103422    21.240  < 2e-16 ***
ORIGIN_GRID1045  4.545519   0.100436    45.258  < 2e-16 ***
ORIGIN_GRID1046  4.437126   0.100464    44.166  < 2e-16 ***
ORIGIN_GRID1053  3.738437   0.100495    37.200  < 2e-16 ***
ORIGIN_GRID1054  2.751504   0.100628    27.343  < 2e-16 ***
ORIGIN_GRID1055  3.767097   0.100460    37.498  < 2e-16 ***
ORIGIN_GRID1056  2.763832   0.100741    27.435  < 2e-16 ***
ORIGIN_GRID1064 -0.569134   0.269421    -2.112 0.034649 *  
ORIGIN_GRID1066  4.349473   0.100464    43.294  < 2e-16 ***
ORIGIN_GRID1067  4.414388   0.100560    43.898  < 2e-16 ***
ORIGIN_GRID1074  3.064595   0.100612    30.460  < 2e-16 ***
ORIGIN_GRID1075  2.404125   0.100830    23.843  < 2e-16 ***
ORIGIN_GRID1076  2.452698   0.100697    24.357  < 2e-16 ***
ORIGIN_GRID1077  2.632447   0.100829    26.108  < 2e-16 ***
ORIGIN_GRID1079  4.172836   0.100451    41.541  < 2e-16 ***
ORIGIN_GRID1085 -1.689059   0.173551    -9.732  < 2e-16 ***
ORIGIN_GRID1087  4.228936   0.100509    42.075  < 2e-16 ***
ORIGIN_GRID1088  2.601958   0.101030    25.754  < 2e-16 ***
ORIGIN_GRID1094  1.152151   0.109382    10.533  < 2e-16 ***
ORIGIN_GRID1095  0.797875   0.105572     7.558 4.10e-14 ***
ORIGIN_GRID1096  2.436141   0.102402    23.790  < 2e-16 ***
ORIGIN_GRID1097  4.436969   0.100399    44.193  < 2e-16 ***
ORIGIN_GRID1098  2.076345   0.101922    20.372  < 2e-16 ***
ORIGIN_GRID1099  3.437834   0.100551    34.190  < 2e-16 ***
ORIGIN_GRID1105  1.251479   0.117591    10.643  < 2e-16 ***
ORIGIN_GRID1106 -0.290639   0.136025    -2.137 0.032626 *  
ORIGIN_GRID1107  2.082209   0.104024    20.017  < 2e-16 ***
ORIGIN_GRID1108  6.141208   0.100373    61.184  < 2e-16 ***
ORIGIN_GRID1109  3.082991   0.100865    30.565  < 2e-16 ***
ORIGIN_GRID1116  2.843465   0.100681    28.242  < 2e-16 ***
ORIGIN_GRID1117  1.471569   0.101832    14.451  < 2e-16 ***
ORIGIN_GRID1118  1.600041   0.102132    15.666  < 2e-16 ***
ORIGIN_GRID1119  2.753726   0.100790    27.321  < 2e-16 ***
ORIGIN_GRID1120  2.653585   0.101174    26.228  < 2e-16 ***
ORIGIN_GRID1129  4.670654   0.100457    46.494  < 2e-16 ***
ORIGIN_GRID1130  4.658223   0.100420    46.387  < 2e-16 ***
ORIGIN_GRID1131  3.516331   0.100852    34.866  < 2e-16 ***
ORIGIN_GRID1136  1.686274   0.101478    16.617  < 2e-16 ***
ORIGIN_GRID1138  0.897771   0.104323     8.606  < 2e-16 ***
ORIGIN_GRID1139  3.609158   0.100461    35.926  < 2e-16 ***
ORIGIN_GRID1141  3.591740   0.100522    35.731  < 2e-16 ***
ORIGIN_GRID1148  1.021888   0.112919     9.050  < 2e-16 ***
ORIGIN_GRID1149  2.626298   0.101810    25.796  < 2e-16 ***
ORIGIN_GRID1150  4.892979   0.100409    48.730  < 2e-16 ***
ORIGIN_GRID1151  3.778382   0.100549    37.577  < 2e-16 ***
ORIGIN_GRID1158  1.972672   0.100933    19.544  < 2e-16 ***
ORIGIN_GRID1159  3.411695   0.100491    33.950  < 2e-16 ***
ORIGIN_GRID1160  4.430607   0.100402    44.128  < 2e-16 ***
ORIGIN_GRID1171  5.457100   0.100422    54.342  < 2e-16 ***
ORIGIN_GRID1172  5.310594   0.100417    52.886  < 2e-16 ***
ORIGIN_GRID1173  2.499328   0.101107    24.720  < 2e-16 ***
ORIGIN_GRID1174 -1.814482   0.285541    -6.355 2.09e-10 ***
ORIGIN_GRID1178  2.206863   0.100860    21.881  < 2e-16 ***
ORIGIN_GRID1179  2.901441   0.100564    28.852  < 2e-16 ***
ORIGIN_GRID1180  3.951349   0.100425    39.346  < 2e-16 ***
ORIGIN_GRID1181  3.238402   0.100543    32.209  < 2e-16 ***
ORIGIN_GRID1183  2.528927   0.101002    25.038  < 2e-16 ***
ORIGIN_GRID1190  1.498207   0.111251    13.467  < 2e-16 ***
ORIGIN_GRID1192  4.185176   0.100537    41.628  < 2e-16 ***
ORIGIN_GRID1193  4.165358   0.100482    41.454  < 2e-16 ***
ORIGIN_GRID1194  2.412814   0.101308    23.817  < 2e-16 ***
ORIGIN_GRID1200  2.969991   0.100554    29.536  < 2e-16 ***
ORIGIN_GRID1201  2.825546   0.100582    28.092  < 2e-16 ***
ORIGIN_GRID1203  3.704719   0.100505    36.861  < 2e-16 ***
ORIGIN_GRID1204  3.382626   0.100563    33.637  < 2e-16 ***
ORIGIN_GRID1211  0.754204   0.134226     5.619 1.92e-08 ***
ORIGIN_GRID1214  4.898205   0.100432    48.772  < 2e-16 ***
ORIGIN_GRID1215  1.457553   0.107915    13.506  < 2e-16 ***
ORIGIN_GRID1216  0.475405   0.108173     4.395 1.11e-05 ***
ORIGIN_GRID1220  3.993661   0.100419    39.770  < 2e-16 ***
ORIGIN_GRID1221  3.642657   0.100437    36.268  < 2e-16 ***
ORIGIN_GRID1222  3.329612   0.100805    33.030  < 2e-16 ***
ORIGIN_GRID1223  1.615648   0.101706    15.885  < 2e-16 ***
ORIGIN_GRID1224  2.520714   0.100885    24.986  < 2e-16 ***
ORIGIN_GRID1231 -1.531303   0.214012    -7.155 8.35e-13 ***
ORIGIN_GRID1232  0.605663   0.150248     4.031 5.55e-05 ***
ORIGIN_GRID1235  2.410476   0.101277    23.801  < 2e-16 ***
ORIGIN_GRID1236  2.411860   0.101276    23.815  < 2e-16 ***
ORIGIN_GRID1241  2.249378   0.100831    22.308  < 2e-16 ***
ORIGIN_GRID1242  2.820912   0.100564    28.051  < 2e-16 ***
ORIGIN_GRID1243  3.494346   0.100453    34.786  < 2e-16 ***
ORIGIN_GRID1246  2.713076   0.100746    26.930  < 2e-16 ***
ORIGIN_GRID1256  3.819796   0.100617    37.964  < 2e-16 ***
ORIGIN_GRID1257  4.716367   0.100490    46.934  < 2e-16 ***
ORIGIN_GRID1258  2.675584   0.101387    26.390  < 2e-16 ***
ORIGIN_GRID1262  2.593280   0.100670    25.760  < 2e-16 ***
ORIGIN_GRID1263  3.185039   0.100471    31.701  < 2e-16 ***
ORIGIN_GRID1264  2.214806   0.101021    21.924  < 2e-16 ***
ORIGIN_GRID1265  2.006797   0.101291    19.812  < 2e-16 ***
ORIGIN_GRID1266  3.315120   0.100630    32.943  < 2e-16 ***
ORIGIN_GRID1267  1.429693   0.103816    13.771  < 2e-16 ***
ORIGIN_GRID1272 -0.892925   0.153012    -5.836 5.36e-09 ***
ORIGIN_GRID1273  3.240215   0.101053    32.064  < 2e-16 ***
ORIGIN_GRID1277  4.853698   0.100431    48.329  < 2e-16 ***
ORIGIN_GRID1278  2.276021   0.101285    22.472  < 2e-16 ***
ORIGIN_GRID1283  4.423548   0.100407    44.056  < 2e-16 ***
ORIGIN_GRID1284  3.592680   0.100450    35.766  < 2e-16 ***
ORIGIN_GRID1285  4.291899   0.100394    42.751  < 2e-16 ***
ORIGIN_GRID1286  2.575658   0.100835    25.543  < 2e-16 ***
ORIGIN_GRID1289  0.729800   0.110385     6.611 3.81e-11 ***
ORIGIN_GRID1293 -0.614887   0.134214    -4.581 4.62e-06 ***
ORIGIN_GRID1294  4.696521   0.100526    46.719  < 2e-16 ***
ORIGIN_GRID1295  2.208271   0.102437    21.557  < 2e-16 ***
ORIGIN_GRID1298  3.863179   0.100578    38.410  < 2e-16 ***
ORIGIN_GRID1299  4.225141   0.100538    42.025  < 2e-16 ***
ORIGIN_GRID1304  4.205902   0.100412    41.886  < 2e-16 ***
ORIGIN_GRID1305  3.592764   0.100422    35.776  < 2e-16 ***
ORIGIN_GRID1307  0.120036   0.107143     1.120 0.262571    
ORIGIN_GRID1308  3.446877   0.100523    34.290  < 2e-16 ***
ORIGIN_GRID1310 -0.619631   0.164388    -3.769 0.000164 ***
ORIGIN_GRID1316  1.261259   0.105673    11.936  < 2e-16 ***
ORIGIN_GRID1317  2.875575   0.100966    28.481  < 2e-16 ***
ORIGIN_GRID1318  2.204973   0.101498    21.724  < 2e-16 ***
ORIGIN_GRID1319  5.107868   0.100422    50.864  < 2e-16 ***
ORIGIN_GRID1320  3.625740   0.100743    35.990  < 2e-16 ***
ORIGIN_GRID1325  1.812904   0.101081    17.935  < 2e-16 ***
ORIGIN_GRID1326  3.777017   0.100420    37.612  < 2e-16 ***
ORIGIN_GRID1327  3.609714   0.100437    35.940  < 2e-16 ***
ORIGIN_GRID1328  2.267243   0.100772    22.499  < 2e-16 ***
ORIGIN_GRID1329  2.527860   0.100998    25.029  < 2e-16 ***
ORIGIN_GRID1330  3.351285   0.100660    33.293  < 2e-16 ***
ORIGIN_GRID1331 -1.114548   0.317796    -3.507 0.000453 ***
ORIGIN_GRID1333  2.721391   0.101067    26.926  < 2e-16 ***
ORIGIN_GRID1334  3.062868   0.100960    30.337  < 2e-16 ***
ORIGIN_GRID1335  2.589382   0.101680    25.466  < 2e-16 ***
ORIGIN_GRID1336 -0.086011   0.146865    -0.586 0.558115    
ORIGIN_GRID1337  0.306734   0.111542     2.750 0.005960 ** 
ORIGIN_GRID1338 -0.848142   0.129211    -6.564 5.24e-11 ***
ORIGIN_GRID1339  5.054899   0.100413    50.341  < 2e-16 ***
ORIGIN_GRID1340  3.348270   0.100734    33.239  < 2e-16 ***
ORIGIN_GRID1341 -2.065135   0.714195    -2.892 0.003833 ** 
ORIGIN_GRID1346  3.457752   0.100522    34.398  < 2e-16 ***
ORIGIN_GRID1347  4.444672   0.100395    44.272  < 2e-16 ***
ORIGIN_GRID1348  2.865596   0.100527    28.506  < 2e-16 ***
ORIGIN_GRID1349  2.670575   0.100660    26.531  < 2e-16 ***
ORIGIN_GRID1350  2.841048   0.100952    28.143  < 2e-16 ***
ORIGIN_GRID1353  3.087335   0.100685    30.663  < 2e-16 ***
ORIGIN_GRID1354  2.582966   0.101056    25.560  < 2e-16 ***
ORIGIN_GRID1355  3.353619   0.100687    33.307  < 2e-16 ***
ORIGIN_GRID1357  2.430365   0.102064    23.812  < 2e-16 ***
ORIGIN_GRID1358  3.745280   0.100598    37.230  < 2e-16 ***
ORIGIN_GRID1359  4.061484   0.100478    40.422  < 2e-16 ***
ORIGIN_GRID1360  4.108423   0.100488    40.885  < 2e-16 ***
ORIGIN_GRID1361  5.246810   0.100432    52.242  < 2e-16 ***
ORIGIN_GRID1362  1.224776   0.110057    11.129  < 2e-16 ***
ORIGIN_GRID1368  2.291378   0.100686    22.758  < 2e-16 ***
ORIGIN_GRID1369  2.146569   0.100703    21.316  < 2e-16 ***
ORIGIN_GRID1370  3.283427   0.100460    32.684  < 2e-16 ***
ORIGIN_GRID1371  2.644229   0.100818    26.228  < 2e-16 ***
ORIGIN_GRID1372  1.898326   0.101183    18.761  < 2e-16 ***
ORIGIN_GRID1373  0.362761   0.110569     3.281 0.001035 ** 
ORIGIN_GRID1374  2.134340   0.101066    21.118  < 2e-16 ***
ORIGIN_GRID1375  3.761419   0.100630    37.379  < 2e-16 ***
ORIGIN_GRID1376  3.166209   0.101099    31.318  < 2e-16 ***
ORIGIN_GRID1379  1.326782   0.106061    12.510  < 2e-16 ***
ORIGIN_GRID1380  5.441086   0.100390    54.200  < 2e-16 ***
ORIGIN_GRID1381  4.986956   0.100416    49.663  < 2e-16 ***
ORIGIN_GRID1382  4.437496   0.100543    44.135  < 2e-16 ***
ORIGIN_GRID1383  1.887504   0.103195    18.291  < 2e-16 ***
ORIGIN_GRID1388  2.883834   0.100545    28.682  < 2e-16 ***
ORIGIN_GRID1389  2.031941   0.100724    20.173  < 2e-16 ***
ORIGIN_GRID1390  2.792273   0.100557    27.768  < 2e-16 ***
ORIGIN_GRID1391  2.606237   0.100677    25.887  < 2e-16 ***
ORIGIN_GRID1392  2.376636   0.101570    23.399  < 2e-16 ***
ORIGIN_GRID1393  1.547205   0.101433    15.253  < 2e-16 ***
ORIGIN_GRID1394  2.965154   0.100612    29.471  < 2e-16 ***
ORIGIN_GRID1395  3.069794   0.100602    30.514  < 2e-16 ***
ORIGIN_GRID1396  4.109469   0.100464    40.905  < 2e-16 ***
ORIGIN_GRID1397  4.175650   0.100475    41.559  < 2e-16 ***
ORIGIN_GRID1398  3.086919   0.100929    30.585  < 2e-16 ***
ORIGIN_GRID1400  4.192639   0.100558    41.694  < 2e-16 ***
ORIGIN_GRID1401  4.591734   0.100420    45.725  < 2e-16 ***
ORIGIN_GRID1402  4.611145   0.100443    45.908  < 2e-16 ***
ORIGIN_GRID1404  4.662886   0.101499    45.940  < 2e-16 ***
ORIGIN_GRID1410  3.488527   0.100432    34.735  < 2e-16 ***
ORIGIN_GRID1411  2.406388   0.100651    23.908  < 2e-16 ***
ORIGIN_GRID1412  2.758104   0.100530    27.436  < 2e-16 ***
ORIGIN_GRID1413  3.636839   0.100449    36.206  < 2e-16 ***
ORIGIN_GRID1414  2.938916   0.100534    29.233  < 2e-16 ***
ORIGIN_GRID1415  2.447506   0.100756    24.291  < 2e-16 ***
ORIGIN_GRID1416  3.086078   0.100579    30.683  < 2e-16 ***
ORIGIN_GRID1417  3.292827   0.100543    32.751  < 2e-16 ***
ORIGIN_GRID1418  4.079764   0.100454    40.613  < 2e-16 ***
ORIGIN_GRID1419  3.546453   0.100552    35.270  < 2e-16 ***
ORIGIN_GRID1422  4.619185   0.100471    45.975  < 2e-16 ***
ORIGIN_GRID1423  5.013756   0.100469    49.903  < 2e-16 ***
ORIGIN_GRID1430  3.191698   0.100505    31.757  < 2e-16 ***
ORIGIN_GRID1431  3.239638   0.100452    32.251  < 2e-16 ***
ORIGIN_GRID1432  3.285028   0.100448    32.704  < 2e-16 ***
ORIGIN_GRID1433  1.958517   0.101578    19.281  < 2e-16 ***
ORIGIN_GRID1434  3.488941   0.100480    34.723  < 2e-16 ***
ORIGIN_GRID1435  3.897039   0.100416    38.809  < 2e-16 ***
ORIGIN_GRID1436  0.912364   0.102715     8.883  < 2e-16 ***
ORIGIN_GRID1437  4.101339   0.100430    40.838  < 2e-16 ***
ORIGIN_GRID1438  4.543783   0.100393    45.260  < 2e-16 ***
ORIGIN_GRID1439  5.160261   0.100382    51.406  < 2e-16 ***
ORIGIN_GRID1440  1.545237   0.102338    15.099  < 2e-16 ***
ORIGIN_GRID1442  4.471758   0.100559    44.469  < 2e-16 ***
ORIGIN_GRID1443  5.527289   0.100414    55.045  < 2e-16 ***
ORIGIN_GRID1444  4.559171   0.100615    45.313  < 2e-16 ***
ORIGIN_GRID1452  2.350707   0.100623    23.362  < 2e-16 ***
ORIGIN_GRID1453  2.481315   0.100604    24.664  < 2e-16 ***
ORIGIN_GRID1454  1.477611   0.101957    14.493  < 2e-16 ***
ORIGIN_GRID1455  2.870468   0.100659    28.517  < 2e-16 ***
ORIGIN_GRID1456  3.288427   0.100508    32.718  < 2e-16 ***
ORIGIN_GRID1457  4.113780   0.100419    40.966  < 2e-16 ***
ORIGIN_GRID1458  4.451674   0.100404    44.338  < 2e-16 ***
ORIGIN_GRID1459  3.912734   0.100441    38.955  < 2e-16 ***
ORIGIN_GRID1460  3.176179   0.100530    31.594  < 2e-16 ***
ORIGIN_GRID1461  1.737742   0.101707    17.086  < 2e-16 ***
ORIGIN_GRID1464  5.887078   0.100405    58.633  < 2e-16 ***
ORIGIN_GRID1465  5.388710   0.100456    53.642  < 2e-16 ***
ORIGIN_GRID1472  0.871466   0.102098     8.536  < 2e-16 ***
ORIGIN_GRID1473  1.910624   0.100797    18.955  < 2e-16 ***
ORIGIN_GRID1474  3.016322   0.100473    30.021  < 2e-16 ***
ORIGIN_GRID1475  3.986385   0.100419    39.698  < 2e-16 ***
ORIGIN_GRID1476  3.279832   0.100522    32.628  < 2e-16 ***
ORIGIN_GRID1477  4.788928   0.100374    47.711  < 2e-16 ***
ORIGIN_GRID1478  3.124718   0.100528    31.083  < 2e-16 ***
ORIGIN_GRID1479  3.352698   0.100495    33.362  < 2e-16 ***
ORIGIN_GRID1480  5.149131   0.100373    51.300  < 2e-16 ***
ORIGIN_GRID1481  2.469108   0.100829    24.488  < 2e-16 ***
ORIGIN_GRID1482  2.757224   0.101120    27.267  < 2e-16 ***
ORIGIN_GRID1485  5.321715   0.100461    52.973  < 2e-16 ***
ORIGIN_GRID1494  2.179508   0.101008    21.578  < 2e-16 ***
ORIGIN_GRID1495  2.303175   0.100628    22.888  < 2e-16 ***
ORIGIN_GRID1496  3.429076   0.100435    34.142  < 2e-16 ***
ORIGIN_GRID1497  3.641783   0.100463    36.250  < 2e-16 ***
ORIGIN_GRID1498  4.068926   0.100414    40.521  < 2e-16 ***
ORIGIN_GRID1499  4.290571   0.100399    42.735  < 2e-16 ***
ORIGIN_GRID1500  4.177356   0.100474    41.577  < 2e-16 ***
ORIGIN_GRID1501  4.463424   0.100401    44.456  < 2e-16 ***
ORIGIN_GRID1502  3.924454   0.100441    39.072  < 2e-16 ***
ORIGIN_GRID1506  0.072916   0.147786     0.493 0.621738    
ORIGIN_GRID1515  1.275833   0.102525    12.444  < 2e-16 ***
ORIGIN_GRID1516  2.795756   0.100541    27.807  < 2e-16 ***
ORIGIN_GRID1517  3.035252   0.100554    30.185  < 2e-16 ***
ORIGIN_GRID1518  3.028350   0.100590    30.106  < 2e-16 ***
ORIGIN_GRID1519  4.282092   0.100449    42.630  < 2e-16 ***
ORIGIN_GRID1520  3.759499   0.100450    37.427  < 2e-16 ***
ORIGIN_GRID1521  2.287785   0.100917    22.670  < 2e-16 ***
ORIGIN_GRID1522  4.660092   0.100393    46.418  < 2e-16 ***
ORIGIN_GRID1523  3.185082   0.101433    31.401  < 2e-16 ***
ORIGIN_GRID1524  3.365480   0.100749    33.405  < 2e-16 ***
ORIGIN_GRID1527  3.368536   0.101590    33.158  < 2e-16 ***
ORIGIN_GRID1535  0.191571   0.124043     1.544 0.122494    
ORIGIN_GRID1536  0.469706   0.105404     4.456 8.34e-06 ***
ORIGIN_GRID1537  1.576820   0.101522    15.532  < 2e-16 ***
ORIGIN_GRID1538  2.933455   0.100508    29.186  < 2e-16 ***
ORIGIN_GRID1539  3.392515   0.100455    33.771  < 2e-16 ***
ORIGIN_GRID1540  3.951024   0.100422    39.344  < 2e-16 ***
ORIGIN_GRID1541  5.208993   0.100454    51.855  < 2e-16 ***
ORIGIN_GRID1542  2.199247   0.101311    21.708  < 2e-16 ***
ORIGIN_GRID1543  3.018024   0.102236    29.520  < 2e-16 ***
ORIGIN_GRID1544  3.889387   0.100535    38.687  < 2e-16 ***
ORIGIN_GRID1547  0.746756   0.115704     6.454 1.09e-10 ***
ORIGIN_GRID1556  1.007869   0.115616     8.717  < 2e-16 ***
ORIGIN_GRID1557  0.690676   0.104950     6.581 4.67e-11 ***
ORIGIN_GRID1558  1.838976   0.101858    18.054  < 2e-16 ***
ORIGIN_GRID1559  3.565352   0.100438    35.498  < 2e-16 ***
ORIGIN_GRID1560  4.382444   0.100394    43.652  < 2e-16 ***
ORIGIN_GRID1561  4.213833   0.100433    41.957  < 2e-16 ***
ORIGIN_GRID1562  1.306888   0.102082    12.802  < 2e-16 ***
ORIGIN_GRID1563  3.105670   0.100577    30.879  < 2e-16 ***
ORIGIN_GRID1564  2.228313   0.101123    22.036  < 2e-16 ***
ORIGIN_GRID1565  2.312708   0.101206    22.851  < 2e-16 ***
ORIGIN_GRID1566  2.058895   0.102136    20.158  < 2e-16 ***
ORIGIN_GRID1567  0.098590   0.126191     0.781 0.434641    
ORIGIN_GRID1568  0.873917   0.117117     7.462 8.53e-14 ***
ORIGIN_GRID1578 -2.084736   0.714225    -2.919 0.003513 ** 
ORIGIN_GRID1580  2.119439   0.101414    20.899  < 2e-16 ***
ORIGIN_GRID1581  0.788198   0.102219     7.711 1.25e-14 ***
ORIGIN_GRID1582  4.087358   0.100402    40.710  < 2e-16 ***
ORIGIN_GRID1583  2.288406   0.102256    22.379  < 2e-16 ***
ORIGIN_GRID1584  2.631916   0.100802    26.110  < 2e-16 ***
ORIGIN_GRID1585  3.291416   0.100710    32.682  < 2e-16 ***
ORIGIN_GRID1586  2.308880   0.101044    22.850  < 2e-16 ***
ORIGIN_GRID1589  1.129916   0.107683    10.493  < 2e-16 ***
ORIGIN_GRID1590  0.983012   0.115654     8.500  < 2e-16 ***
ORIGIN_GRID1600  4.175890   0.100806    41.425  < 2e-16 ***
ORIGIN_GRID1601  2.686305   0.100586    26.707  < 2e-16 ***
ORIGIN_GRID1602  3.345148   0.100500    33.285  < 2e-16 ***
ORIGIN_GRID1603  4.290962   0.100405    42.736  < 2e-16 ***
ORIGIN_GRID1604  2.798366   0.100608    27.815  < 2e-16 ***
ORIGIN_GRID1605  4.169265   0.100416    41.520  < 2e-16 ***
ORIGIN_GRID1606  3.669291   0.100726    36.428  < 2e-16 ***
ORIGIN_GRID1607  2.904924   0.100747    28.834  < 2e-16 ***
ORIGIN_GRID1608  4.972955   0.100427    49.518  < 2e-16 ***
ORIGIN_GRID1609  4.853795   0.100479    48.307  < 2e-16 ***
ORIGIN_GRID1610  1.303095   0.116724    11.164  < 2e-16 ***
ORIGIN_GRID1622  2.750430   0.102361    26.870  < 2e-16 ***
ORIGIN_GRID1623  4.054946   0.100408    40.385  < 2e-16 ***
ORIGIN_GRID1624  2.804200   0.100639    27.864  < 2e-16 ***
ORIGIN_GRID1625  4.234472   0.100429    42.164  < 2e-16 ***
ORIGIN_GRID1626  4.880449   0.100386    48.617  < 2e-16 ***
ORIGIN_GRID1627  3.292026   0.100557    32.738  < 2e-16 ***
ORIGIN_GRID1628  4.978744   0.100390    49.594  < 2e-16 ***
ORIGIN_GRID1629  3.929107   0.100553    39.075  < 2e-16 ***
ORIGIN_GRID1630  4.034842   0.100619    40.100  < 2e-16 ***
ORIGIN_GRID1631  0.428590   0.116291     3.686 0.000228 ***
ORIGIN_GRID1642  1.546314   0.103977    14.872  < 2e-16 ***
ORIGIN_GRID1643  3.959423   0.100424    39.427  < 2e-16 ***
ORIGIN_GRID1644  1.745716   0.101568    17.188  < 2e-16 ***
ORIGIN_GRID1645  3.263209   0.100502    32.469  < 2e-16 ***
ORIGIN_GRID1646  3.094968   0.100678    30.741  < 2e-16 ***
ORIGIN_GRID1647  3.510550   0.100480    34.938  < 2e-16 ***
ORIGIN_GRID1648  4.117803   0.100438    40.998  < 2e-16 ***
ORIGIN_GRID1649  4.846213   0.100399    48.270  < 2e-16 ***
ORIGIN_GRID1650  4.927331   0.100466    49.045  < 2e-16 ***
ORIGIN_GRID1664 -1.085627   0.194665    -5.577 2.45e-08 ***
ORIGIN_GRID1665  4.169627   0.100406    41.528  < 2e-16 ***
ORIGIN_GRID1666  2.888972   0.100556    28.730  < 2e-16 ***
ORIGIN_GRID1667  3.870731   0.100811    38.396  < 2e-16 ***
ORIGIN_GRID1668  3.999735   0.100435    39.824  < 2e-16 ***
ORIGIN_GRID1670  4.886847   0.100389    48.679  < 2e-16 ***
ORIGIN_GRID1671  5.549719   0.100463    55.241  < 2e-16 ***
ORIGIN_GRID1672  5.146037   0.100500    51.204  < 2e-16 ***
ORIGIN_GRID1684  3.275474   0.101017    32.425  < 2e-16 ***
ORIGIN_GRID1685  3.727177   0.100465    37.099  < 2e-16 ***
ORIGIN_GRID1686  3.590029   0.100467    35.734  < 2e-16 ***
ORIGIN_GRID1687  3.192416   0.100586    31.738  < 2e-16 ***
ORIGIN_GRID1688  2.772471   0.100657    27.544  < 2e-16 ***
ORIGIN_GRID1689  2.362646   0.101027    23.386  < 2e-16 ***
ORIGIN_GRID1690  3.766914   0.100534    37.469  < 2e-16 ***
ORIGIN_GRID1691  4.573409   0.100426    45.540  < 2e-16 ***
ORIGIN_GRID1692  4.159875   0.100642    41.333  < 2e-16 ***
ORIGIN_GRID1706  3.706728   0.100515    36.877  < 2e-16 ***
ORIGIN_GRID1707  3.600168   0.100450    35.840  < 2e-16 ***
ORIGIN_GRID1708  4.114970   0.100412    40.981  < 2e-16 ***
ORIGIN_GRID1709  3.207940   0.100539    31.907  < 2e-16 ***
ORIGIN_GRID1710  4.465325   0.100416    44.468  < 2e-16 ***
ORIGIN_GRID1711  4.297645   0.100448    42.785  < 2e-16 ***
ORIGIN_GRID1712  4.904869   0.100389    48.859  < 2e-16 ***
ORIGIN_GRID1713  2.529396   0.101078    25.024  < 2e-16 ***
ORIGIN_GRID1714  5.131828   0.100440    51.094  < 2e-16 ***
ORIGIN_GRID1727  3.890725   0.100463    38.728  < 2e-16 ***
ORIGIN_GRID1728  3.753806   0.100442    37.373  < 2e-16 ***
ORIGIN_GRID1729  3.265125   0.100484    32.494  < 2e-16 ***
ORIGIN_GRID1730  1.381800   0.102301    13.507  < 2e-16 ***
ORIGIN_GRID1731  3.871828   0.100474    38.536  < 2e-16 ***
ORIGIN_GRID1732  4.586442   0.100399    45.682  < 2e-16 ***
ORIGIN_GRID1733  4.296794   0.100431    42.783  < 2e-16 ***
ORIGIN_GRID1734  4.725302   0.100425    47.053  < 2e-16 ***
ORIGIN_GRID1735  6.400836   0.100542    63.664  < 2e-16 ***
ORIGIN_GRID1748  2.673013   0.100752    26.531  < 2e-16 ***
ORIGIN_GRID1749  3.611480   0.100453    35.952  < 2e-16 ***
ORIGIN_GRID1750  2.738668   0.100585    27.227  < 2e-16 ***
ORIGIN_GRID1751  2.069605   0.100886    20.514  < 2e-16 ***
ORIGIN_GRID1753  4.606046   0.100407    45.874  < 2e-16 ***
ORIGIN_GRID1754  4.971328   0.100388    49.521  < 2e-16 ***
ORIGIN_GRID1755  4.458392   0.100429    44.393  < 2e-16 ***
ORIGIN_GRID1756  4.440288   0.100472    44.194  < 2e-16 ***
ORIGIN_GRID1757  2.903184   0.103335    28.095  < 2e-16 ***
ORIGIN_GRID1769  3.483751   0.100493    34.667  < 2e-16 ***
ORIGIN_GRID1770  3.409116   0.100676    33.862  < 2e-16 ***
ORIGIN_GRID1771  2.306546   0.100815    22.879  < 2e-16 ***
ORIGIN_GRID1772  1.101455   0.103072    10.686  < 2e-16 ***
ORIGIN_GRID1774  4.305378   0.100423    42.872  < 2e-16 ***
ORIGIN_GRID1775  3.974374   0.100478    39.555  < 2e-16 ***
ORIGIN_GRID1776  5.165667   0.100393    51.454  < 2e-16 ***
ORIGIN_GRID1777  5.221688   0.100414    52.002  < 2e-16 ***
ORIGIN_GRID1778  4.981017   0.101025    49.305  < 2e-16 ***
ORIGIN_GRID1790  4.131245   0.100448    41.128  < 2e-16 ***
ORIGIN_GRID1791  3.435105   0.100527    34.171  < 2e-16 ***
ORIGIN_GRID1792  3.437940   0.100538    34.195  < 2e-16 ***
ORIGIN_GRID1793  1.474648   0.101221    14.569  < 2e-16 ***
ORIGIN_GRID1794  1.202151   0.104061    11.552  < 2e-16 ***
ORIGIN_GRID1795  0.771976   0.105548     7.314 2.59e-13 ***
ORIGIN_GRID1796  4.840377   0.100421    48.201  < 2e-16 ***
ORIGIN_GRID1797  4.808807   0.100410    47.892  < 2e-16 ***
ORIGIN_GRID1798  4.837324   0.100412    48.175  < 2e-16 ***
ORIGIN_GRID1799  4.063560   0.100622    40.384  < 2e-16 ***
ORIGIN_GRID1800  3.168293   0.104259    30.389  < 2e-16 ***
ORIGIN_GRID1811  3.174190   0.100591    31.555  < 2e-16 ***
ORIGIN_GRID1812  4.338021   0.100397    43.209  < 2e-16 ***
ORIGIN_GRID1813  4.131591   0.100409    41.148  < 2e-16 ***
ORIGIN_GRID1817  4.696171   0.100471    46.742  < 2e-16 ***
ORIGIN_GRID1818  4.671324   0.100431    46.513  < 2e-16 ***
ORIGIN_GRID1819  5.184483   0.100404    51.636  < 2e-16 ***
ORIGIN_GRID1820  2.365183   0.105755    22.365  < 2e-16 ***
ORIGIN_GRID1832  3.954575   0.100469    39.361  < 2e-16 ***
ORIGIN_GRID1833  3.403663   0.100503    33.866  < 2e-16 ***
ORIGIN_GRID1834  3.740644   0.100435    37.244  < 2e-16 ***
ORIGIN_GRID1835  3.041797   0.100597    30.237  < 2e-16 ***
ORIGIN_GRID1837  0.379212   0.117370     3.231 0.001234 ** 
ORIGIN_GRID1839  4.297148   0.100548    42.737  < 2e-16 ***
ORIGIN_GRID1840  5.942230   0.100375    59.200  < 2e-16 ***
ORIGIN_GRID1841  1.824397   0.106090    17.197  < 2e-16 ***
ORIGIN_GRID1842  5.870076   0.100920    58.166  < 2e-16 ***
ORIGIN_GRID1853  3.781428   0.100454    37.643  < 2e-16 ***
ORIGIN_GRID1854  4.041609   0.100439    40.239  < 2e-16 ***
ORIGIN_GRID1855  4.320481   0.100419    43.025  < 2e-16 ***
ORIGIN_GRID1858  2.077688   0.103501    20.074  < 2e-16 ***
ORIGIN_GRID1860  5.458054   0.100688    54.207  < 2e-16 ***
ORIGIN_GRID1861  4.906489   0.100440    48.850  < 2e-16 ***
ORIGIN_GRID1874  3.992306   0.100510    39.720  < 2e-16 ***
ORIGIN_GRID1875  2.356134   0.101087    23.308  < 2e-16 ***
ORIGIN_GRID1876  4.451273   0.100840    44.142  < 2e-16 ***
ORIGIN_GRID1877  4.026090   0.100446    40.082  < 2e-16 ***
ORIGIN_GRID1880  0.387721   0.112437     3.448 0.000564 ***
ORIGIN_GRID1882  4.758135   0.100455    47.366  < 2e-16 ***
ORIGIN_GRID1883  5.248819   0.100733    52.106  < 2e-16 ***
ORIGIN_GRID1895  4.115690   0.100441    40.976  < 2e-16 ***
ORIGIN_GRID1896  2.417157   0.100798    23.980  < 2e-16 ***
ORIGIN_GRID1897  3.109817   0.100711    30.879  < 2e-16 ***
ORIGIN_GRID1898 -1.193084   0.166187    -7.179 7.01e-13 ***
ORIGIN_GRID1901  0.641335   0.116371     5.511 3.57e-08 ***
ORIGIN_GRID1903  4.329101   0.100717    42.983  < 2e-16 ***
ORIGIN_GRID1917  2.739886   0.100732    27.200  < 2e-16 ***
ORIGIN_GRID1918  4.127569   0.100495    41.072  < 2e-16 ***
ORIGIN_GRID1919  4.006463   0.100462    39.880  < 2e-16 ***
ORIGIN_GRID1922  1.853256   0.104271    17.773  < 2e-16 ***
ORIGIN_GRID1924  4.468628   0.100755    44.351  < 2e-16 ***
ORIGIN_GRID1937  3.515365   0.100555    34.960  < 2e-16 ***
ORIGIN_GRID1938  4.119243   0.100430    41.016  < 2e-16 ***
ORIGIN_GRID1939  4.709373   0.100416    46.898  < 2e-16 ***
ORIGIN_GRID1942  0.455639   0.110801     4.112 3.92e-05 ***
ORIGIN_GRID1959  3.076972   0.100685    30.560  < 2e-16 ***
ORIGIN_GRID1960  5.054239   0.100376    50.353  < 2e-16 ***
ORIGIN_GRID1961  3.479020   0.100557    34.597  < 2e-16 ***
ORIGIN_GRID1962  4.470162   0.100426    44.512  < 2e-16 ***
ORIGIN_GRID1964 -0.490118   0.133560    -3.670 0.000243 ***
ORIGIN_GRID1979  3.390215   0.100625    33.691  < 2e-16 ***
ORIGIN_GRID1980  1.675596   0.101242    16.550  < 2e-16 ***
ORIGIN_GRID1981  4.108459   0.100427    40.910  < 2e-16 ***
ORIGIN_GRID1982  3.199707   0.100895    31.713  < 2e-16 ***
ORIGIN_GRID1983  4.417699   0.100428    43.989  < 2e-16 ***
ORIGIN_GRID1984  3.187654   0.100609    31.684  < 2e-16 ***
ORIGIN_GRID1985  3.865961   0.100526    38.457  < 2e-16 ***
ORIGIN_GRID2001  3.677963   0.100500    36.597  < 2e-16 ***
ORIGIN_GRID2002  4.243452   0.100405    42.263  < 2e-16 ***
ORIGIN_GRID2003  3.840430   0.100459    38.229  < 2e-16 ***
ORIGIN_GRID2004  4.513598   0.100421    44.947  < 2e-16 ***
ORIGIN_GRID2005  4.387855   0.100421    43.695  < 2e-16 ***
ORIGIN_GRID2006  2.940227   0.100744    29.185  < 2e-16 ***
ORIGIN_GRID2007  2.348024   0.101564    23.119  < 2e-16 ***
ORIGIN_GRID2022  4.079229   0.100497    40.591  < 2e-16 ***
ORIGIN_GRID2023  4.497410   0.100403    44.794  < 2e-16 ***
ORIGIN_GRID2024  3.814295   0.100444    37.975  < 2e-16 ***
ORIGIN_GRID2025  3.848199   0.100440    38.314  < 2e-16 ***
ORIGIN_GRID2026  2.453683   0.100985    24.297  < 2e-16 ***
ORIGIN_GRID2027  4.751258   0.100416    47.316  < 2e-16 ***
ORIGIN_GRID2043  3.399618   0.100610    33.790  < 2e-16 ***
ORIGIN_GRID2044  4.113829   0.100423    40.965  < 2e-16 ***
ORIGIN_GRID2045 -0.436935   0.124897    -3.498 0.000468 ***
ORIGIN_GRID2046  4.060458   0.100409    40.439  < 2e-16 ***
ORIGIN_GRID2047  3.874347   0.100463    38.565  < 2e-16 ***
ORIGIN_GRID2048  4.092031   0.100441    40.741  < 2e-16 ***
ORIGIN_GRID2049  3.115276   0.101259    30.765  < 2e-16 ***
ORIGIN_GRID2064  4.113727   0.100451    40.952  < 2e-16 ***
ORIGIN_GRID2065  2.581207   0.100669    25.641  < 2e-16 ***
ORIGIN_GRID2066  2.142349   0.102412    20.919  < 2e-16 ***
ORIGIN_GRID2067  5.304630   0.100373    52.849  < 2e-16 ***
ORIGIN_GRID2068  3.678221   0.100561    36.577  < 2e-16 ***
ORIGIN_GRID2069  3.964186   0.100484    39.451  < 2e-16 ***
ORIGIN_GRID2085  2.975928   0.100754    29.537  < 2e-16 ***
ORIGIN_GRID2086  4.371418   0.100417    43.533  < 2e-16 ***
ORIGIN_GRID2087  3.024666   0.100584    30.071  < 2e-16 ***
ORIGIN_GRID2088  3.725341   0.100437    37.091  < 2e-16 ***
ORIGIN_GRID2089  3.435338   0.100540    34.169  < 2e-16 ***
ORIGIN_GRID2090  4.978774   0.100395    49.592  < 2e-16 ***
ORIGIN_GRID2091  0.294658   0.121175     2.432 0.015029 *  
ORIGIN_GRID2105  0.848902   0.142399     5.961 2.50e-09 ***
ORIGIN_GRID2106  1.329610   0.102057    13.028  < 2e-16 ***
ORIGIN_GRID2107  2.402647   0.100745    23.849  < 2e-16 ***
ORIGIN_GRID2108  3.718944   0.100478    37.013  < 2e-16 ***
ORIGIN_GRID2109  3.780451   0.100435    37.641  < 2e-16 ***
ORIGIN_GRID2110  3.234193   0.100585    32.154  < 2e-16 ***
ORIGIN_GRID2111  0.633978   0.107741     5.884 4.00e-09 ***
ORIGIN_GRID2128  2.262546   0.101161    22.366  < 2e-16 ***
ORIGIN_GRID2129  1.607158   0.101360    15.856  < 2e-16 ***
ORIGIN_GRID2130  4.210856   0.100410    41.937  < 2e-16 ***
ORIGIN_GRID2131  4.581436   0.100434    45.616  < 2e-16 ***
ORIGIN_GRID2132  3.540705   0.100507    35.228  < 2e-16 ***
ORIGIN_GRID2148  3.107823   0.100927    30.793  < 2e-16 ***
ORIGIN_GRID2149  1.500057   0.101508    14.778  < 2e-16 ***
ORIGIN_GRID2150  4.122992   0.100438    41.050  < 2e-16 ***
ORIGIN_GRID2151  4.593767   0.100396    45.756  < 2e-16 ***
ORIGIN_GRID2152  4.771814   0.100405    47.526  < 2e-16 ***
ORIGIN_GRID2153  4.078023   0.100488    40.582  < 2e-16 ***
ORIGIN_GRID2171  3.112361   0.100579    30.944  < 2e-16 ***
ORIGIN_GRID2172  3.274548   0.100627    32.541  < 2e-16 ***
ORIGIN_GRID2173  3.729360   0.100464    37.121  < 2e-16 ***
ORIGIN_GRID2174  4.055515   0.100469    40.366  < 2e-16 ***
ORIGIN_GRID2191  2.572325   0.100862    25.503  < 2e-16 ***
ORIGIN_GRID2192  2.483799   0.100903    24.616  < 2e-16 ***
ORIGIN_GRID2193  3.446458   0.100519    34.287  < 2e-16 ***
ORIGIN_GRID2194  3.897971   0.100460    38.801  < 2e-16 ***
ORIGIN_GRID2195  3.285964   0.102314    32.117  < 2e-16 ***
ORIGIN_GRID2212  0.349652   0.128277     2.726 0.006416 ** 
ORIGIN_GRID2213  0.392322   0.107323     3.656 0.000257 ***
ORIGIN_GRID2214  1.134008   0.103282    10.980  < 2e-16 ***
ORIGIN_GRID2215  3.599313   0.100552    35.795  < 2e-16 ***
ORIGIN_GRID2216  2.556914   0.100898    25.342  < 2e-16 ***
ORIGIN_GRID2233  0.832575   0.107602     7.738 1.01e-14 ***
ORIGIN_GRID2234  2.095497   0.102274    20.489  < 2e-16 ***
ORIGIN_GRID2235  2.339933   0.101184    23.126  < 2e-16 ***
ORIGIN_GRID2236  2.298062   0.101118    22.727  < 2e-16 ***
ORIGIN_GRID2237  0.201259   0.113699     1.770 0.076710 .  
ORIGIN_GRID2256 -0.313926   0.112272    -2.796 0.005172 ** 
ORIGIN_GRID2257  2.101182   0.102019    20.596  < 2e-16 ***
ORIGIN_GRID2258  1.356606   0.101858    13.319  < 2e-16 ***
ORIGIN_GRID2259  1.208581   0.106363    11.363  < 2e-16 ***
ORIGIN_GRID2277  2.013361   0.107752    18.685  < 2e-16 ***
ORIGIN_GRID2278  2.777875   0.101442    27.384  < 2e-16 ***
ORIGIN_GRID2279  1.247431   0.102142    12.213  < 2e-16 ***
ORIGIN_GRID2280 -0.523761   0.142116    -3.685 0.000228 ***
ORIGIN_GRID2297  3.973072   0.100715    39.449  < 2e-16 ***
ORIGIN_GRID2300  0.099296   0.116681     0.851 0.394767    
ORIGIN_GRID2301  1.617278   0.101984    15.858  < 2e-16 ***
ORIGIN_GRID2318  2.078782   0.101968    20.387  < 2e-16 ***
ORIGIN_GRID2319  2.807262   0.100849    27.836  < 2e-16 ***
ORIGIN_GRID2322  2.686439   0.101067    26.581  < 2e-16 ***
ORIGIN_GRID2337  3.648125   0.101848    35.819  < 2e-16 ***
ORIGIN_GRID2341  3.261373   0.100754    32.370  < 2e-16 ***
ORIGIN_GRID2343  1.972269   0.101316    19.467  < 2e-16 ***
ORIGIN_GRID2361  2.604276   0.100897    25.811  < 2e-16 ***
ORIGIN_GRID2364 -0.673478   0.119280    -5.646 1.64e-08 ***
ORIGIN_GRID2379  2.806766   0.102446    27.397  < 2e-16 ***
ORIGIN_GRID2384  2.030996   0.101403    20.029  < 2e-16 ***
ORIGIN_GRID2405  1.731656   0.101413    17.075  < 2e-16 ***
ORIGIN_GRID2406  0.356706   0.105718     3.374 0.000740 ***
ORIGIN_GRID2426  1.247958   0.103811    12.021  < 2e-16 ***
ORIGIN_GRID2427  2.779006   0.100930    27.534  < 2e-16 ***
ORIGIN_GRID2505  2.936431   0.106958    27.454  < 2e-16 ***
DESTIN_GRID44    1.350547   0.050695    26.641  < 2e-16 ***
DESTIN_GRID46    0.131380   0.050868     2.583 0.009801 ** 
DESTIN_GRID66   -0.412530   0.063425    -6.504 7.81e-11 ***
DESTIN_GRID67    0.240275   0.048555     4.949 7.48e-07 ***
DESTIN_GRID68   -0.196227   0.050750    -3.867 0.000110 ***
DESTIN_GRID86    0.265109   0.057617     4.601 4.20e-06 ***
DESTIN_GRID87   -3.337878   0.099599   -33.513  < 2e-16 ***
DESTIN_GRID88   -0.315764   0.049575    -6.369 1.90e-10 ***
DESTIN_GRID89   -1.145314   0.052053   -22.003  < 2e-16 ***
DESTIN_GRID90   -3.330747   0.502419    -6.629 3.37e-11 ***
DESTIN_GRID109  -0.872931   0.053108   -16.437  < 2e-16 ***
DESTIN_GRID110  -3.311759   0.110690   -29.919  < 2e-16 ***
DESTIN_GRID111   0.959083   0.047821    20.056  < 2e-16 ***
DESTIN_GRID112  -2.533319   0.055328   -45.787  < 2e-16 ***
DESTIN_GRID128   1.093104   0.051509    21.222  < 2e-16 ***
DESTIN_GRID129  -4.442650   0.122360   -36.308  < 2e-16 ***
DESTIN_GRID130  -0.906628   0.051497   -17.606  < 2e-16 ***
DESTIN_GRID131  -1.382203   0.052660   -26.248  < 2e-16 ***
DESTIN_GRID132  -0.588003   0.048685   -12.078  < 2e-16 ***
DESTIN_GRID133  -1.040154   0.048051   -21.647  < 2e-16 ***
DESTIN_GRID134  -0.909401   0.047882   -18.992  < 2e-16 ***
DESTIN_GRID150  -0.580100   0.057039   -10.170  < 2e-16 ***
DESTIN_GRID151  -0.654385   0.051190   -12.784  < 2e-16 ***
DESTIN_GRID152   0.443737   0.048726     9.107  < 2e-16 ***
DESTIN_GRID153  -0.271252   0.048547    -5.587 2.30e-08 ***
DESTIN_GRID154  -2.450002   0.053678   -45.643  < 2e-16 ***
DESTIN_GRID155  -1.763099   0.049560   -35.575  < 2e-16 ***
DESTIN_GRID156  -1.726860   0.050510   -34.188  < 2e-16 ***
DESTIN_GRID172  -1.873401   0.064550   -29.023  < 2e-16 ***
DESTIN_GRID174  -1.297241   0.049058   -26.443  < 2e-16 ***
DESTIN_GRID175  -0.759851   0.047565   -15.975  < 2e-16 ***
DESTIN_GRID176  -2.295313   0.054430   -42.170  < 2e-16 ***
DESTIN_GRID195  -2.738466   0.055587   -49.264  < 2e-16 ***
DESTIN_GRID196  -1.236006   0.047667   -25.930  < 2e-16 ***
DESTIN_GRID197  -3.626867   0.098675   -36.756  < 2e-16 ***
DESTIN_GRID215  -0.629987   0.054306   -11.601  < 2e-16 ***
DESTIN_GRID216  -0.847623   0.049152   -17.245  < 2e-16 ***
DESTIN_GRID217  -0.494765   0.047474   -10.422  < 2e-16 ***
DESTIN_GRID237  -2.804444   0.054804   -51.172  < 2e-16 ***
DESTIN_GRID238  -1.902127   0.048922   -38.881  < 2e-16 ***
DESTIN_GRID239  -2.058068   0.055171   -37.303  < 2e-16 ***
DESTIN_GRID257   0.229874   0.049168     4.675 2.94e-06 ***
DESTIN_GRID258  -1.787824   0.050577   -35.348  < 2e-16 ***
DESTIN_GRID259  -0.677368   0.048161   -14.065  < 2e-16 ***
DESTIN_GRID278   0.278587   0.049285     5.653 1.58e-08 ***
DESTIN_GRID279  -1.235484   0.048383   -25.535  < 2e-16 ***
DESTIN_GRID280  -0.885571   0.048250   -18.354  < 2e-16 ***
DESTIN_GRID298  -3.938176   0.140541   -28.022  < 2e-16 ***
DESTIN_GRID299  -0.969765   0.049416   -19.624  < 2e-16 ***
DESTIN_GRID300  -1.479343   0.049631   -29.807  < 2e-16 ***
DESTIN_GRID320   0.263468   0.048729     5.407 6.42e-08 ***
DESTIN_GRID321  -1.805362   0.052119   -34.639  < 2e-16 ***
DESTIN_GRID322  -0.734128   0.048113   -15.258  < 2e-16 ***
DESTIN_GRID340   1.054053   0.048046    21.938  < 2e-16 ***
DESTIN_GRID341  -0.195202   0.048164    -4.053 5.06e-05 ***
DESTIN_GRID342  -0.718429   0.047834   -15.019  < 2e-16 ***
DESTIN_GRID363  -0.849255   0.048667   -17.450  < 2e-16 ***
DESTIN_GRID364  -0.747307   0.047354   -15.781  < 2e-16 ***
DESTIN_GRID383   0.178576   0.047567     3.754 0.000174 ***
DESTIN_GRID384  -1.009092   0.047469   -21.258  < 2e-16 ***
DESTIN_GRID385  -1.979861   0.049084   -40.336  < 2e-16 ***
DESTIN_GRID404  -0.010670   0.049078    -0.217 0.827889    
DESTIN_GRID405  -0.375037   0.047889    -7.831 4.83e-15 ***
DESTIN_GRID406   0.069117   0.047056     1.469 0.141875    
DESTIN_GRID407  -0.337757   0.047609    -7.094 1.30e-12 ***
DESTIN_GRID408   0.848134   0.047083    18.014  < 2e-16 ***
DESTIN_GRID425  -1.833344   0.052442   -34.960  < 2e-16 ***
DESTIN_GRID426  -1.435137   0.047886   -29.970  < 2e-16 ***
DESTIN_GRID427  -3.839459   0.052189   -73.568  < 2e-16 ***
DESTIN_GRID428  -1.308296   0.048022   -27.244  < 2e-16 ***
DESTIN_GRID429  -1.719307   0.052130   -32.981  < 2e-16 ***
DESTIN_GRID446  -0.789314   0.051775   -15.245  < 2e-16 ***
DESTIN_GRID447  -1.709819   0.049832   -34.312  < 2e-16 ***
DESTIN_GRID448  -1.953155   0.048154   -40.561  < 2e-16 ***
DESTIN_GRID449  -1.367318   0.047436   -28.824  < 2e-16 ***
DESTIN_GRID450  -1.821320   0.048351   -37.668  < 2e-16 ***
DESTIN_GRID468  -0.857628   0.047851   -17.923  < 2e-16 ***
DESTIN_GRID469  -1.814747   0.047582   -38.139  < 2e-16 ***
DESTIN_GRID470  -1.368537   0.047328   -28.916  < 2e-16 ***
DESTIN_GRID471  -1.331605   0.049372   -26.971  < 2e-16 ***
DESTIN_GRID488  -0.954395   0.051915   -18.384  < 2e-16 ***
DESTIN_GRID489  -3.008781   0.066529   -45.225  < 2e-16 ***
DESTIN_GRID490  -0.986583   0.047531   -20.757  < 2e-16 ***
DESTIN_GRID491  -3.248036   0.049121   -66.123  < 2e-16 ***
DESTIN_GRID493  -4.001619   0.068075   -58.783  < 2e-16 ***
DESTIN_GRID494  -2.144127   0.051749   -41.433  < 2e-16 ***
DESTIN_GRID509  -0.511189   0.049107   -10.410  < 2e-16 ***
DESTIN_GRID510  -0.648957   0.047849   -13.563  < 2e-16 ***
DESTIN_GRID511  -1.444432   0.047277   -30.553  < 2e-16 ***
DESTIN_GRID512  -1.431871   0.047235   -30.313  < 2e-16 ***
DESTIN_GRID513  -0.602857   0.047457   -12.703  < 2e-16 ***
DESTIN_GRID514  -1.111758   0.048352   -22.993  < 2e-16 ***
DESTIN_GRID515  -2.395968   0.055223   -43.387  < 2e-16 ***
DESTIN_GRID530  -1.281650   0.055459   -23.110  < 2e-16 ***
DESTIN_GRID531   1.064362   0.047226    22.538  < 2e-16 ***
DESTIN_GRID532  -1.261770   0.047628   -26.492  < 2e-16 ***
DESTIN_GRID533  -0.007126   0.046936    -0.152 0.879319    
DESTIN_GRID534  -1.403101   0.047263   -29.687  < 2e-16 ***
DESTIN_GRID536  -1.957497   0.050103   -39.069  < 2e-16 ***
DESTIN_GRID537  -2.725374   0.057670   -47.258  < 2e-16 ***
DESTIN_GRID538  -3.071735   0.063336   -48.499  < 2e-16 ***
DESTIN_GRID539  -6.611778   0.579267   -11.414  < 2e-16 ***
DESTIN_GRID551  -0.606648   0.050151   -12.096  < 2e-16 ***
DESTIN_GRID552  -0.132581   0.048010    -2.762 0.005753 ** 
DESTIN_GRID553  -2.015763   0.047594   -42.353  < 2e-16 ***
DESTIN_GRID554  -2.004851   0.047332   -42.357  < 2e-16 ***
DESTIN_GRID555  -0.919228   0.047446   -19.374  < 2e-16 ***
DESTIN_GRID559  -3.484094   0.072036   -48.366  < 2e-16 ***
DESTIN_GRID560  -0.843495   0.049668   -16.983  < 2e-16 ***
DESTIN_GRID561  -3.161419   0.082021   -38.544  < 2e-16 ***
DESTIN_GRID572  -1.409981   0.056971   -24.749  < 2e-16 ***
DESTIN_GRID573   0.219032   0.047953     4.568 4.93e-06 ***
DESTIN_GRID574  -1.724612   0.049592   -34.776  < 2e-16 ***
DESTIN_GRID575   0.703405   0.046906    14.996  < 2e-16 ***
DESTIN_GRID576  -1.592834   0.047274   -33.693  < 2e-16 ***
DESTIN_GRID578  -5.495607   0.116487   -47.178  < 2e-16 ***
DESTIN_GRID582  -3.653333   0.080961   -45.125  < 2e-16 ***
DESTIN_GRID583  -5.265586   0.223214   -23.590  < 2e-16 ***
DESTIN_GRID584  -1.833027   0.058484   -31.342  < 2e-16 ***
DESTIN_GRID593  -1.992361   0.052528   -37.930  < 2e-16 ***
DESTIN_GRID594  -0.776744   0.048765   -15.928  < 2e-16 ***
DESTIN_GRID595  -0.999980   0.047204   -21.184  < 2e-16 ***
DESTIN_GRID596  -1.529935   0.047129   -32.463  < 2e-16 ***
DESTIN_GRID597  -2.141515   0.049342   -43.401  < 2e-16 ***
DESTIN_GRID603  -3.108339   0.069605   -44.657  < 2e-16 ***
DESTIN_GRID604  -2.440732   0.064606   -37.779  < 2e-16 ***
DESTIN_GRID615  -1.765571   0.049072   -35.979  < 2e-16 ***
DESTIN_GRID616  -1.124132   0.047606   -23.613  < 2e-16 ***
DESTIN_GRID617  -2.372726   0.047734   -49.707  < 2e-16 ***
DESTIN_GRID618  -1.598329   0.047255   -33.824  < 2e-16 ***
DESTIN_GRID620  -1.701334   0.048238   -35.270  < 2e-16 ***
DESTIN_GRID637  -1.762361   0.048077   -36.657  < 2e-16 ***
DESTIN_GRID638  -1.610413   0.047200   -34.119  < 2e-16 ***
DESTIN_GRID657  -0.386054   0.047371    -8.150 3.65e-16 ***
DESTIN_GRID658  -1.049093   0.047237   -22.209  < 2e-16 ***
DESTIN_GRID659  -1.380632   0.047205   -29.248  < 2e-16 ***
DESTIN_GRID660  -0.762986   0.047030   -16.223  < 2e-16 ***
DESTIN_GRID662  -1.425291   0.048189   -29.577  < 2e-16 ***
DESTIN_GRID677  -0.332609   0.047770    -6.963 3.34e-12 ***
DESTIN_GRID678  -2.278743   0.048850   -46.648  < 2e-16 ***
DESTIN_GRID679  -0.775931   0.047124   -16.466  < 2e-16 ***
DESTIN_GRID680   0.639397   0.046933    13.624  < 2e-16 ***
DESTIN_GRID681  -3.081490   0.050163   -61.430  < 2e-16 ***
DESTIN_GRID699  -0.938886   0.047678   -19.692  < 2e-16 ***
DESTIN_GRID700  -1.324631   0.047340   -27.981  < 2e-16 ***
DESTIN_GRID701  -3.621075   0.050590   -71.576  < 2e-16 ***
DESTIN_GRID702  -1.112823   0.047101   -23.626  < 2e-16 ***
DESTIN_GRID704  -1.944145   0.048015   -40.490  < 2e-16 ***
DESTIN_GRID722  -2.204248   0.047849   -46.067  < 2e-16 ***
DESTIN_GRID725  -4.256976   0.054026   -78.795  < 2e-16 ***
DESTIN_GRID741  -0.318132   0.047408    -6.711 1.94e-11 ***
DESTIN_GRID743  -3.839799   0.051311   -74.834  < 2e-16 ***
DESTIN_GRID744  -1.073438   0.047114   -22.784  < 2e-16 ***
DESTIN_GRID761  -0.046414   0.047607    -0.975 0.329593    
DESTIN_GRID762  -1.945897   0.048543   -40.086  < 2e-16 ***
DESTIN_GRID763  -3.627991   0.051090   -71.012  < 2e-16 ***
DESTIN_GRID764  -0.445056   0.046996    -9.470  < 2e-16 ***
DESTIN_GRID765  -2.008116   0.047778   -42.030  < 2e-16 ***
DESTIN_GRID767  -1.691612   0.047380   -35.703  < 2e-16 ***
DESTIN_GRID772  -2.700065   0.058516   -46.142  < 2e-16 ***
DESTIN_GRID784  -3.307159   0.050881   -64.998  < 2e-16 ***
DESTIN_GRID785  -1.495629   0.047189   -31.695  < 2e-16 ***
DESTIN_GRID786  -1.451293   0.047135   -30.790  < 2e-16 ***
DESTIN_GRID787  -1.963511   0.047839   -41.044  < 2e-16 ***
DESTIN_GRID788  -3.440575   0.048916   -70.337  < 2e-16 ***
DESTIN_GRID789  -3.821873   0.049795   -76.753  < 2e-16 ***
DESTIN_GRID803  -1.326614   0.048856   -27.153  < 2e-16 ***
DESTIN_GRID804  -0.838930   0.047339   -17.722  < 2e-16 ***
DESTIN_GRID805   0.264261   0.046959     5.627 1.83e-08 ***
DESTIN_GRID806  -1.681860   0.047228   -35.611  < 2e-16 ***
DESTIN_GRID807  -1.637321   0.047391   -34.549  < 2e-16 ***
DESTIN_GRID808  -3.337041   0.050850   -65.625  < 2e-16 ***
DESTIN_GRID809  -1.890195   0.047194   -40.051  < 2e-16 ***
DESTIN_GRID810  -2.234945   0.047680   -46.874  < 2e-16 ***
DESTIN_GRID814  -1.681462   0.050857   -33.063  < 2e-16 ***
DESTIN_GRID824  -0.971538   0.048755   -19.927  < 2e-16 ***
DESTIN_GRID826  -1.347553   0.047257   -28.516  < 2e-16 ***
DESTIN_GRID827  -1.590247   0.047278   -33.636  < 2e-16 ***
DESTIN_GRID828  -1.415557   0.047122   -30.040  < 2e-16 ***
DESTIN_GRID829  -2.044580   0.047590   -42.962  < 2e-16 ***
DESTIN_GRID830  -3.281814   0.048572   -67.565  < 2e-16 ***
DESTIN_GRID831   0.118858   0.046962     2.531 0.011376 *  
DESTIN_GRID832  -0.768746   0.047234   -16.275  < 2e-16 ***
DESTIN_GRID835  -2.207771   0.050889   -43.384  < 2e-16 ***
DESTIN_GRID844  -1.329581   0.050172   -26.501  < 2e-16 ***
DESTIN_GRID846  -1.328743   0.047375   -28.047  < 2e-16 ***
DESTIN_GRID847  -0.519374   0.047076   -11.033  < 2e-16 ***
DESTIN_GRID848  -1.790742   0.047286   -37.870  < 2e-16 ***
DESTIN_GRID849  -2.543007   0.047589   -53.437  < 2e-16 ***
DESTIN_GRID850  -1.786562   0.047229   -37.828  < 2e-16 ***
DESTIN_GRID851  -2.160770   0.047282   -45.700  < 2e-16 ***
DESTIN_GRID852  -2.333034   0.047640   -48.972  < 2e-16 ***
DESTIN_GRID853  -1.226329   0.047628   -25.748  < 2e-16 ***
DESTIN_GRID854  -1.462943   0.049007   -29.852  < 2e-16 ***
DESTIN_GRID855  -2.430694   0.050872   -47.780  < 2e-16 ***
DESTIN_GRID856  -3.126690   0.056521   -55.319  < 2e-16 ***
DESTIN_GRID866  -0.631977   0.047932   -13.185  < 2e-16 ***
DESTIN_GRID867  -0.034673   0.047092    -0.736 0.461551    
DESTIN_GRID868  -0.401552   0.047156    -8.515  < 2e-16 ***
DESTIN_GRID869   0.359202   0.047156     7.617 2.59e-14 ***
DESTIN_GRID870  -0.094904   0.046963    -2.021 0.043299 *  
DESTIN_GRID871  -0.146297   0.047046    -3.110 0.001873 ** 
DESTIN_GRID872  -1.669420   0.047207   -35.364  < 2e-16 ***
DESTIN_GRID873  -2.174773   0.047552   -45.735  < 2e-16 ***
DESTIN_GRID874  -3.263253   0.048742   -66.950  < 2e-16 ***
DESTIN_GRID875  -3.002273   0.054786   -54.801  < 2e-16 ***
DESTIN_GRID876  -2.679728   0.050669   -52.887  < 2e-16 ***
DESTIN_GRID877  -1.856412   0.049086   -37.819  < 2e-16 ***
DESTIN_GRID887  -1.261227   0.047600   -26.496  < 2e-16 ***
DESTIN_GRID888  -2.594645   0.048779   -53.192  < 2e-16 ***
DESTIN_GRID889  -1.992855   0.048596   -41.009  < 2e-16 ***
DESTIN_GRID890  -0.930770   0.047119   -19.754  < 2e-16 ***
DESTIN_GRID891  -2.552315   0.049036   -52.050  < 2e-16 ***
DESTIN_GRID893  -1.313744   0.047089   -27.899  < 2e-16 ***
DESTIN_GRID894  -2.895401   0.048310   -59.933  < 2e-16 ***
DESTIN_GRID895  -1.733303   0.047813   -36.252  < 2e-16 ***
DESTIN_GRID896  -3.872691   0.055668   -69.567  < 2e-16 ***
DESTIN_GRID897  -3.968272   0.054241   -73.160  < 2e-16 ***
DESTIN_GRID898  -1.885522   0.049075   -38.422  < 2e-16 ***
DESTIN_GRID908  -0.462880   0.048033    -9.637  < 2e-16 ***
DESTIN_GRID909  -1.444438   0.047307   -30.533  < 2e-16 ***
DESTIN_GRID910  -2.435913   0.048332   -50.399  < 2e-16 ***
DESTIN_GRID911  -0.160908   0.047045    -3.420 0.000626 ***
DESTIN_GRID912  -1.852229   0.047408   -39.070  < 2e-16 ***
DESTIN_GRID915  -1.853844   0.047259   -39.227  < 2e-16 ***
DESTIN_GRID917  -0.418891   0.047216    -8.872  < 2e-16 ***
DESTIN_GRID918  -4.783141   0.061588   -77.664  < 2e-16 ***
DESTIN_GRID919  -2.828742   0.049130   -57.576  < 2e-16 ***
DESTIN_GRID928  -2.391132   0.049889   -47.929  < 2e-16 ***
DESTIN_GRID929  -1.475337   0.047375   -31.142  < 2e-16 ***
DESTIN_GRID930  -0.286261   0.047016    -6.089 1.14e-09 ***
DESTIN_GRID931  -1.812492   0.047964   -37.789  < 2e-16 ***
DESTIN_GRID932  -3.593047   0.052815   -68.032  < 2e-16 ***
DESTIN_GRID933  -1.452670   0.047472   -30.601  < 2e-16 ***
DESTIN_GRID934  -1.935709   0.047571   -40.691  < 2e-16 ***
DESTIN_GRID935   0.183369   0.046950     3.906 9.40e-05 ***
DESTIN_GRID938  -6.122343   0.180359   -33.945  < 2e-16 ***
DESTIN_GRID939  -0.582659   0.047293   -12.320  < 2e-16 ***
DESTIN_GRID940  -3.035172   0.050485   -60.120  < 2e-16 ***
DESTIN_GRID949  -2.063296   0.049042   -42.072  < 2e-16 ***
DESTIN_GRID950  -0.115879   0.047136    -2.458 0.013956 *  
DESTIN_GRID951   0.692241   0.046951    14.744  < 2e-16 ***
DESTIN_GRID952  -0.922875   0.047499   -19.429  < 2e-16 ***
DESTIN_GRID953  -1.392531   0.047651   -29.223  < 2e-16 ***
DESTIN_GRID954  -3.385661   0.049885   -67.869  < 2e-16 ***
DESTIN_GRID955  -0.504397   0.047078   -10.714  < 2e-16 ***
DESTIN_GRID956  -2.516232   0.047760   -52.685  < 2e-16 ***
DESTIN_GRID957  -2.341736   0.047663   -49.131  < 2e-16 ***
DESTIN_GRID959  -2.214339   0.051936   -42.636  < 2e-16 ***
DESTIN_GRID961  -2.425163   0.048419   -50.087  < 2e-16 ***
DESTIN_GRID962   0.033552   0.047177     0.711 0.476963    
DESTIN_GRID970  -0.732799   0.047277   -15.500  < 2e-16 ***
DESTIN_GRID971  -0.707279   0.047091   -15.020  < 2e-16 ***
DESTIN_GRID972  -1.487249   0.047385   -31.387  < 2e-16 ***
DESTIN_GRID974  -1.909793   0.048009   -39.780  < 2e-16 ***
DESTIN_GRID975  -3.142417   0.049541   -63.431  < 2e-16 ***
DESTIN_GRID976  -2.599726   0.048183   -53.955  < 2e-16 ***
DESTIN_GRID977  -2.122001   0.047326   -44.838  < 2e-16 ***
DESTIN_GRID978  -2.498468   0.048124   -51.917  < 2e-16 ***
DESTIN_GRID982  -2.655235   0.048128   -55.171  < 2e-16 ***
DESTIN_GRID991  -0.635258   0.047354   -13.415  < 2e-16 ***
DESTIN_GRID992  -0.522956   0.047178   -11.085  < 2e-16 ***
DESTIN_GRID993  -2.189552   0.047826   -45.781  < 2e-16 ***
DESTIN_GRID994  -2.167950   0.048181   -44.996  < 2e-16 ***
DESTIN_GRID995  -1.504131   0.047528   -31.648  < 2e-16 ***
DESTIN_GRID996  -2.111419   0.048087   -43.908  < 2e-16 ***
DESTIN_GRID997  -1.993454   0.048711   -40.924  < 2e-16 ***
DESTIN_GRID998  -1.528130   0.047259   -32.335  < 2e-16 ***
DESTIN_GRID999  -2.610159   0.047905   -54.486  < 2e-16 ***
DESTIN_GRID1001 -1.695477   0.049393   -34.326  < 2e-16 ***
DESTIN_GRID1003  0.013613   0.047015     0.290 0.772165    
DESTIN_GRID1004 -0.874069   0.047165   -18.532  < 2e-16 ***
DESTIN_GRID1011 -1.211290   0.048373   -25.041  < 2e-16 ***
DESTIN_GRID1012  0.290383   0.047257     6.145 8.01e-10 ***
DESTIN_GRID1013 -1.128233   0.047481   -23.762  < 2e-16 ***
DESTIN_GRID1014 -2.749729   0.049452   -55.604  < 2e-16 ***
DESTIN_GRID1015 -0.031248   0.047064    -0.664 0.506727    
DESTIN_GRID1016 -0.003913   0.047029    -0.083 0.933697    
DESTIN_GRID1018 -2.452295   0.048417   -50.650  < 2e-16 ***
DESTIN_GRID1019 -1.472613   0.047246   -31.169  < 2e-16 ***
DESTIN_GRID1023 -2.495825   0.048677   -51.273  < 2e-16 ***
DESTIN_GRID1024 -1.511750   0.047347   -31.929  < 2e-16 ***
DESTIN_GRID1025 -5.643243   0.079829   -70.691  < 2e-16 ***
DESTIN_GRID1033 -0.565332   0.047355   -11.938  < 2e-16 ***
DESTIN_GRID1034 -0.052225   0.047094    -1.109 0.267450    
DESTIN_GRID1035 -0.216555   0.047116    -4.596 4.30e-06 ***
DESTIN_GRID1036  0.221239   0.047034     4.704 2.55e-06 ***
DESTIN_GRID1037 -1.118878   0.047257   -23.677  < 2e-16 ***
DESTIN_GRID1043 -0.923875   0.048133   -19.194  < 2e-16 ***
DESTIN_GRID1045 -1.524834   0.047260   -32.265  < 2e-16 ***
DESTIN_GRID1046 -1.214191   0.047261   -25.691  < 2e-16 ***
DESTIN_GRID1053  0.275810   0.047117     5.854 4.81e-09 ***
DESTIN_GRID1054 -0.095866   0.047137    -2.034 0.041976 *  
DESTIN_GRID1055 -1.279690   0.047552   -26.912  < 2e-16 ***
DESTIN_GRID1056 -1.833868   0.048131   -38.102  < 2e-16 ***
DESTIN_GRID1064 -4.283652   0.098939   -43.296  < 2e-16 ***
DESTIN_GRID1066 -0.666371   0.047079   -14.154  < 2e-16 ***
DESTIN_GRID1067 -0.718466   0.047354   -15.172  < 2e-16 ***
DESTIN_GRID1074 -1.849717   0.048776   -37.923  < 2e-16 ***
DESTIN_GRID1075 -0.236215   0.047266    -4.998 5.81e-07 ***
DESTIN_GRID1076 -0.996315   0.047357   -21.038  < 2e-16 ***
DESTIN_GRID1077 -1.833606   0.047964   -38.229  < 2e-16 ***
DESTIN_GRID1079 -0.694981   0.047228   -14.715  < 2e-16 ***
DESTIN_GRID1085 -2.586347   0.073211   -35.327  < 2e-16 ***
DESTIN_GRID1087 -1.495704   0.047297   -31.624  < 2e-16 ***
DESTIN_GRID1088 -1.155565   0.047224   -24.470  < 2e-16 ***
DESTIN_GRID1094 -3.361852   0.067220   -50.013  < 2e-16 ***
DESTIN_GRID1095 -0.937144   0.048807   -19.201  < 2e-16 ***
DESTIN_GRID1096 -0.644185   0.049223   -13.087  < 2e-16 ***
DESTIN_GRID1097 -0.010043   0.047066    -0.213 0.831029    
DESTIN_GRID1098 -2.743400   0.051607   -53.160  < 2e-16 ***
DESTIN_GRID1099 -1.355024   0.047494   -28.531  < 2e-16 ***
DESTIN_GRID1105  0.497523   0.047734    10.423  < 2e-16 ***
DESTIN_GRID1106 -4.546424   0.096937   -46.901  < 2e-16 ***
DESTIN_GRID1107 -1.299728   0.047499   -27.363  < 2e-16 ***
DESTIN_GRID1108  0.806598   0.046967    17.174  < 2e-16 ***
DESTIN_GRID1109 -3.230238   0.051356   -62.899  < 2e-16 ***
DESTIN_GRID1116 -0.932768   0.047651   -19.575  < 2e-16 ***
DESTIN_GRID1117 -0.359400   0.047382    -7.585 3.32e-14 ***
DESTIN_GRID1118 -2.159137   0.050071   -43.122  < 2e-16 ***
DESTIN_GRID1119 -1.743043   0.047975   -36.333  < 2e-16 ***
DESTIN_GRID1120 -2.333794   0.049726   -46.933  < 2e-16 ***
DESTIN_GRID1129 -2.077197   0.047550   -43.684  < 2e-16 ***
DESTIN_GRID1130 -1.408419   0.047236   -29.817  < 2e-16 ***
DESTIN_GRID1131  0.194935   0.047199     4.130 3.63e-05 ***
DESTIN_GRID1136  0.394341   0.047113     8.370  < 2e-16 ***
DESTIN_GRID1138 -2.033993   0.049760   -40.876  < 2e-16 ***
DESTIN_GRID1139 -1.196474   0.047378   -25.254  < 2e-16 ***
DESTIN_GRID1141 -1.242122   0.047479   -26.161  < 2e-16 ***
DESTIN_GRID1148 -2.424339   0.055245   -43.883  < 2e-16 ***
DESTIN_GRID1149 -2.491674   0.048734   -51.128  < 2e-16 ***
DESTIN_GRID1150 -2.071373   0.047375   -43.723  < 2e-16 ***
DESTIN_GRID1151 -1.383101   0.047354   -29.208  < 2e-16 ***
DESTIN_GRID1158 -1.569686   0.048004   -32.699  < 2e-16 ***
DESTIN_GRID1159 -1.459131   0.047665   -30.612  < 2e-16 ***
DESTIN_GRID1160  0.012381   0.047060     0.263 0.792476    
DESTIN_GRID1171 -1.129954   0.047270   -23.904  < 2e-16 ***
DESTIN_GRID1172  0.181839   0.047010     3.868 0.000110 ***
DESTIN_GRID1173 -0.331739   0.047181    -7.031 2.05e-12 ***
DESTIN_GRID1174 -2.659169   0.062661   -42.437  < 2e-16 ***
DESTIN_GRID1178  0.597028   0.047018    12.698  < 2e-16 ***
DESTIN_GRID1179 -0.417484   0.047157    -8.853  < 2e-16 ***
DESTIN_GRID1180 -0.433729   0.047130    -9.203  < 2e-16 ***
DESTIN_GRID1181 -1.654065   0.047702   -34.675  < 2e-16 ***
DESTIN_GRID1183 -0.134758   0.047115    -2.860 0.004234 ** 
DESTIN_GRID1190 -2.465929   0.054953   -44.873  < 2e-16 ***
DESTIN_GRID1192 -1.205602   0.047218   -25.533  < 2e-16 ***
DESTIN_GRID1193 -1.012053   0.047218   -21.434  < 2e-16 ***
DESTIN_GRID1194 -0.385920   0.047290    -8.161 3.33e-16 ***
DESTIN_GRID1200 -0.747056   0.047395   -15.762  < 2e-16 ***
DESTIN_GRID1201 -1.058987   0.047437   -22.324  < 2e-16 ***
DESTIN_GRID1203 -1.082221   0.047499   -22.784  < 2e-16 ***
DESTIN_GRID1204 -1.361394   0.047670   -28.559  < 2e-16 ***
DESTIN_GRID1211 -5.754176   0.281414   -20.447  < 2e-16 ***
DESTIN_GRID1214 -2.082397   0.047665   -43.689  < 2e-16 ***
DESTIN_GRID1215 -1.641888   0.048194   -34.068  < 2e-16 ***
DESTIN_GRID1216 -0.878631   0.047971   -18.316  < 2e-16 ***
DESTIN_GRID1220 -0.570480   0.047260   -12.071  < 2e-16 ***
DESTIN_GRID1221  0.001962   0.047062     0.042 0.966743    
DESTIN_GRID1222 -1.292569   0.048465   -26.670  < 2e-16 ***
DESTIN_GRID1223 -1.721121   0.048154   -35.742  < 2e-16 ***
DESTIN_GRID1224 -1.156043   0.047522   -24.326  < 2e-16 ***
DESTIN_GRID1231 -3.702995   0.074075   -49.990  < 2e-16 ***
DESTIN_GRID1232 -1.846832   0.052867   -34.933  < 2e-16 ***
DESTIN_GRID1235 -1.294125   0.047285   -27.369  < 2e-16 ***
DESTIN_GRID1236 -1.319872   0.047631   -27.710  < 2e-16 ***
DESTIN_GRID1241 -1.929541   0.048272   -39.972  < 2e-16 ***
DESTIN_GRID1242 -1.475819   0.047716   -30.929  < 2e-16 ***
DESTIN_GRID1243 -0.370244   0.047160    -7.851 4.14e-15 ***
DESTIN_GRID1246 -1.420648   0.047617   -29.835  < 2e-16 ***
DESTIN_GRID1256 -1.990192   0.047673   -41.747  < 2e-16 ***
DESTIN_GRID1257 -0.844845   0.047318   -17.855  < 2e-16 ***
DESTIN_GRID1258  0.055357   0.047205     1.173 0.240914    
DESTIN_GRID1262 -2.120735   0.048523   -43.705  < 2e-16 ***
DESTIN_GRID1263  0.150691   0.047014     3.205 0.001349 ** 
DESTIN_GRID1264 -0.788188   0.047466   -16.605  < 2e-16 ***
DESTIN_GRID1265 -0.794203   0.047499   -16.720  < 2e-16 ***
DESTIN_GRID1266 -0.706665   0.047354   -14.923  < 2e-16 ***
DESTIN_GRID1267 -2.098467   0.049525   -42.372  < 2e-16 ***
DESTIN_GRID1272 -5.881083   0.120023   -49.000  < 2e-16 ***
DESTIN_GRID1273 -0.900314   0.047457   -18.971  < 2e-16 ***
DESTIN_GRID1277 -0.704796   0.047128   -14.955  < 2e-16 ***
DESTIN_GRID1278 -1.060773   0.047320   -22.417  < 2e-16 ***
DESTIN_GRID1283  0.615590   0.047011    13.095  < 2e-16 ***
DESTIN_GRID1284  0.163389   0.047048     3.473 0.000515 ***
DESTIN_GRID1285 -0.107854   0.047101    -2.290 0.022031 *  
DESTIN_GRID1286 -1.092089   0.047861   -22.818  < 2e-16 ***
DESTIN_GRID1289 -3.425345   0.059805   -57.275  < 2e-16 ***
DESTIN_GRID1293 -5.012548   0.087403   -57.350  < 2e-16 ***
DESTIN_GRID1294 -0.906410   0.047674   -19.013  < 2e-16 ***
DESTIN_GRID1295 -3.210080   0.051904   -61.847  < 2e-16 ***
DESTIN_GRID1298 -1.573116   0.047422   -33.172  < 2e-16 ***
DESTIN_GRID1299 -1.750235   0.047751   -36.654  < 2e-16 ***
DESTIN_GRID1304 -0.505479   0.047256   -10.697  < 2e-16 ***
DESTIN_GRID1305 -0.326731   0.047078    -6.940 3.92e-12 ***
DESTIN_GRID1307 -1.800126   0.050651   -35.540  < 2e-16 ***
DESTIN_GRID1308 -0.470319   0.047196    -9.965  < 2e-16 ***
DESTIN_GRID1310 -5.645539   0.194721   -28.993  < 2e-16 ***
DESTIN_GRID1316 -2.869580   0.049455   -58.024  < 2e-16 ***
DESTIN_GRID1317 -2.887644   0.048692   -59.304  < 2e-16 ***
DESTIN_GRID1318 -3.063261   0.049483   -61.906  < 2e-16 ***
DESTIN_GRID1319 -0.167089   0.047055    -3.551 0.000384 ***
DESTIN_GRID1320 -2.292537   0.048803   -46.976  < 2e-16 ***
DESTIN_GRID1324 -0.274932   0.049405    -5.565 2.62e-08 ***
DESTIN_GRID1325 -2.316582   0.048973   -47.304  < 2e-16 ***
DESTIN_GRID1326 -0.708144   0.047211   -14.999  < 2e-16 ***
DESTIN_GRID1327 -0.541509   0.047176   -11.479  < 2e-16 ***
DESTIN_GRID1328 -0.715456   0.047315   -15.121  < 2e-16 ***
DESTIN_GRID1329 -0.873081   0.047656   -18.320  < 2e-16 ***
DESTIN_GRID1330  0.341499   0.047163     7.241 4.46e-13 ***
DESTIN_GRID1331 -5.776470   0.262432   -22.011  < 2e-16 ***
DESTIN_GRID1333 -2.308634   0.049476   -46.662  < 2e-16 ***
DESTIN_GRID1334 -1.903445   0.048610   -39.158  < 2e-16 ***
DESTIN_GRID1335 -0.242841   0.047224    -5.142 2.71e-07 ***
DESTIN_GRID1336 -4.091559   0.072932   -56.101  < 2e-16 ***
DESTIN_GRID1337 -3.737419   0.055311   -67.571  < 2e-16 ***
DESTIN_GRID1338 -4.191872   0.053910   -77.757  < 2e-16 ***
DESTIN_GRID1339 -0.429448   0.047067    -9.124  < 2e-16 ***
DESTIN_GRID1340 -1.875859   0.047794   -39.249  < 2e-16 ***
DESTIN_GRID1341 -5.832328   0.107096   -54.459  < 2e-16 ***
DESTIN_GRID1346 -0.730338   0.047424   -15.400  < 2e-16 ***
DESTIN_GRID1347  0.522897   0.047033    11.118  < 2e-16 ***
DESTIN_GRID1348 -0.893321   0.047342   -18.869  < 2e-16 ***
DESTIN_GRID1349  0.021416   0.047172     0.454 0.649823    
DESTIN_GRID1350 -1.601059   0.048531   -32.991  < 2e-16 ***
DESTIN_GRID1353 -0.797469   0.047294   -16.862  < 2e-16 ***
DESTIN_GRID1354 -2.139278   0.048349   -44.247  < 2e-16 ***
DESTIN_GRID1355 -1.979898   0.048155   -41.115  < 2e-16 ***
DESTIN_GRID1357 -2.588360   0.050443   -51.313  < 2e-16 ***
DESTIN_GRID1358 -0.466518   0.047064    -9.913  < 2e-16 ***
DESTIN_GRID1359 -1.857001   0.047373   -39.199  < 2e-16 ***
DESTIN_GRID1360 -2.029917   0.047488   -42.746  < 2e-16 ***
DESTIN_GRID1361 -1.733088   0.047732   -36.309  < 2e-16 ***
DESTIN_GRID1362 -3.272628   0.055189   -59.299  < 2e-16 ***
DESTIN_GRID1368 -1.577398   0.047720   -33.055  < 2e-16 ***
DESTIN_GRID1369 -1.485516   0.047661   -31.168  < 2e-16 ***
DESTIN_GRID1370  0.224756   0.047026     4.779 1.76e-06 ***
DESTIN_GRID1371 -0.897764   0.047501   -18.900  < 2e-16 ***
DESTIN_GRID1372 -0.845700   0.047396   -17.843  < 2e-16 ***
DESTIN_GRID1373 -3.718290   0.057026   -65.203  < 2e-16 ***
DESTIN_GRID1374 -2.525807   0.049023   -51.523  < 2e-16 ***
DESTIN_GRID1375 -0.672805   0.047453   -14.178  < 2e-16 ***
DESTIN_GRID1376 -2.458176   0.049851   -49.310  < 2e-16 ***
DESTIN_GRID1379 -5.133338   0.078666   -65.255  < 2e-16 ***
DESTIN_GRID1380  0.196892   0.046992     4.190 2.79e-05 ***
DESTIN_GRID1381  0.218831   0.046992     4.657 3.21e-06 ***
DESTIN_GRID1382 -0.451591   0.047135    -9.581  < 2e-16 ***
DESTIN_GRID1383 -3.318470   0.050856   -65.252  < 2e-16 ***
DESTIN_GRID1388 -0.806011   0.047310   -17.037  < 2e-16 ***
DESTIN_GRID1389 -1.108434   0.047434   -23.368  < 2e-16 ***
DESTIN_GRID1390 -0.812854   0.047378   -17.157  < 2e-16 ***
DESTIN_GRID1391 -0.122716   0.047144    -2.603 0.009241 ** 
DESTIN_GRID1392 -0.842352   0.048504   -17.367  < 2e-16 ***
DESTIN_GRID1393 -1.439759   0.047657   -30.211  < 2e-16 ***
DESTIN_GRID1394 -0.999598   0.047283   -21.141  < 2e-16 ***
DESTIN_GRID1395 -1.385896   0.047416   -29.228  < 2e-16 ***
DESTIN_GRID1396 -0.742676   0.047190   -15.738  < 2e-16 ***
DESTIN_GRID1397 -1.627854   0.047508   -34.265  < 2e-16 ***
DESTIN_GRID1398 -2.022083   0.048903   -41.349  < 2e-16 ***
DESTIN_GRID1400 -2.590766   0.048216   -53.733  < 2e-16 ***
DESTIN_GRID1401 -0.735435   0.047038   -15.635  < 2e-16 ***
DESTIN_GRID1402 -1.472211   0.047233   -31.169  < 2e-16 ***
DESTIN_GRID1404 -1.984491   0.051799   -38.311  < 2e-16 ***
DESTIN_GRID1410  0.180456   0.047045     3.836 0.000125 ***
DESTIN_GRID1411 -0.674582   0.047384   -14.237  < 2e-16 ***
DESTIN_GRID1412 -0.040045   0.047065    -0.851 0.394849    
DESTIN_GRID1413 -0.485339   0.047196   -10.284  < 2e-16 ***
DESTIN_GRID1414 -0.948353   0.047247   -20.072  < 2e-16 ***
DESTIN_GRID1415 -0.675937   0.047199   -14.321  < 2e-16 ***
DESTIN_GRID1416 -1.147240   0.047377   -24.215  < 2e-16 ***
DESTIN_GRID1417 -1.172110   0.047237   -24.813  < 2e-16 ***
DESTIN_GRID1418 -1.122204   0.047235   -23.758  < 2e-16 ***
DESTIN_GRID1419 -1.552599   0.047530   -32.666  < 2e-16 ***
DESTIN_GRID1422 -1.933467   0.047326   -40.854  < 2e-16 ***
DESTIN_GRID1423 -1.416048   0.047210   -29.995  < 2e-16 ***
DESTIN_GRID1430 -0.077030   0.047141    -1.634 0.102254    
DESTIN_GRID1431  0.332834   0.047026     7.078 1.47e-12 ***
DESTIN_GRID1432 -0.102735   0.047065    -2.183 0.029048 *  
DESTIN_GRID1433 -0.989578   0.047782   -20.710  < 2e-16 ***
DESTIN_GRID1434  0.002748   0.047066     0.058 0.953443    
DESTIN_GRID1435 -0.584655   0.047123   -12.407  < 2e-16 ***
DESTIN_GRID1436 -1.939788   0.048065   -40.357  < 2e-16 ***
DESTIN_GRID1437 -1.262963   0.047316   -26.692  < 2e-16 ***
DESTIN_GRID1438 -0.747689   0.047086   -15.879  < 2e-16 ***
DESTIN_GRID1439  0.047908   0.047026     1.019 0.308316    
DESTIN_GRID1440 -0.615425   0.047295   -13.013  < 2e-16 ***
DESTIN_GRID1442 -3.558285   0.049738   -71.541  < 2e-16 ***
DESTIN_GRID1443 -1.747648   0.047289   -36.957  < 2e-16 ***
DESTIN_GRID1444 -0.621571   0.047312   -13.138  < 2e-16 ***
DESTIN_GRID1452  0.560206   0.046998    11.920  < 2e-16 ***
DESTIN_GRID1453 -0.243088   0.047150    -5.156 2.53e-07 ***
DESTIN_GRID1454 -1.322460   0.048193   -27.441  < 2e-16 ***
DESTIN_GRID1455 -0.804454   0.047407   -16.969  < 2e-16 ***
DESTIN_GRID1456 -0.778655   0.047239   -16.483  < 2e-16 ***
DESTIN_GRID1457 -0.185303   0.047104    -3.934 8.36e-05 ***
DESTIN_GRID1458  0.709451   0.046964    15.106  < 2e-16 ***
DESTIN_GRID1459 -2.035029   0.047583   -42.768  < 2e-16 ***
DESTIN_GRID1460 -0.849133   0.047098   -18.029  < 2e-16 ***
DESTIN_GRID1461 -1.000076   0.047354   -21.119  < 2e-16 ***
DESTIN_GRID1464 -1.930823   0.047450   -40.692  < 2e-16 ***
DESTIN_GRID1465 -2.601070   0.048080   -54.099  < 2e-16 ***
DESTIN_GRID1472 -0.505365   0.047414   -10.659  < 2e-16 ***
DESTIN_GRID1473  0.402468   0.047030     8.558  < 2e-16 ***
DESTIN_GRID1474  0.196666   0.047011     4.183 2.87e-05 ***
DESTIN_GRID1475 -0.080584   0.047070    -1.712 0.086896 .  
DESTIN_GRID1476 -1.147699   0.047418   -24.204  < 2e-16 ***
DESTIN_GRID1477  0.647006   0.046954    13.779  < 2e-16 ***
DESTIN_GRID1478 -1.037900   0.047171   -22.003  < 2e-16 ***
DESTIN_GRID1479 -1.892079   0.047473   -39.856  < 2e-16 ***
DESTIN_GRID1480  0.460798   0.046964     9.812  < 2e-16 ***
DESTIN_GRID1481 -1.018048   0.047260   -21.541  < 2e-16 ***
DESTIN_GRID1482 -0.034751   0.047144    -0.737 0.461041    
DESTIN_GRID1485 -3.134101   0.048543   -64.564  < 2e-16 ***
DESTIN_GRID1494  0.193750   0.047077     4.116 3.86e-05 ***
DESTIN_GRID1495 -0.710965   0.047252   -15.046  < 2e-16 ***
DESTIN_GRID1496  0.175115   0.047018     3.724 0.000196 ***
DESTIN_GRID1497 -1.150149   0.047438   -24.245  < 2e-16 ***
DESTIN_GRID1498 -0.990556   0.047284   -20.949  < 2e-16 ***
DESTIN_GRID1499 -0.810289   0.047101   -17.203  < 2e-16 ***
DESTIN_GRID1500 -1.192457   0.047637   -25.032  < 2e-16 ***
DESTIN_GRID1501 -0.561896   0.047059   -11.940  < 2e-16 ***
DESTIN_GRID1502 -0.660541   0.047093   -14.026  < 2e-16 ***
DESTIN_GRID1506 -5.003715   0.078533   -63.715  < 2e-16 ***
DESTIN_GRID1515 -0.739296   0.048844   -15.136  < 2e-16 ***
DESTIN_GRID1516  0.270871   0.047013     5.762 8.33e-09 ***
DESTIN_GRID1517 -0.731255   0.047325   -15.452  < 2e-16 ***
DESTIN_GRID1518 -1.480587   0.047530   -31.150  < 2e-16 ***
DESTIN_GRID1519 -1.387992   0.047567   -29.179  < 2e-16 ***
DESTIN_GRID1520 -1.051691   0.047186   -22.288  < 2e-16 ***
DESTIN_GRID1521 -1.622912   0.047468   -34.189  < 2e-16 ***
DESTIN_GRID1522 -0.846416   0.047140   -17.955  < 2e-16 ***
DESTIN_GRID1523  0.422141   0.047102     8.962  < 2e-16 ***
DESTIN_GRID1524 -1.908734   0.048280   -39.535  < 2e-16 ***
DESTIN_GRID1527 -4.202621   0.054918   -76.525  < 2e-16 ***
DESTIN_GRID1535 -1.042550   0.071255   -14.631  < 2e-16 ***
DESTIN_GRID1536 -1.925878   0.051631   -37.300  < 2e-16 ***
DESTIN_GRID1537 -0.262535   0.047240    -5.557 2.74e-08 ***
DESTIN_GRID1538 -0.504750   0.047156   -10.704  < 2e-16 ***
DESTIN_GRID1539 -0.531513   0.047102   -11.284  < 2e-16 ***
DESTIN_GRID1540 -1.343424   0.047276   -28.417  < 2e-16 ***
DESTIN_GRID1541 -0.342410   0.047353    -7.231 4.79e-13 ***
DESTIN_GRID1542 -1.582053   0.047841   -33.069  < 2e-16 ***
DESTIN_GRID1543 -1.754921   0.053497   -32.804  < 2e-16 ***
DESTIN_GRID1544 -1.539066   0.047735   -32.242  < 2e-16 ***
DESTIN_GRID1547 -2.340961   0.049174   -47.606  < 2e-16 ***
DESTIN_GRID1556 -1.426260   0.076277   -18.698  < 2e-16 ***
DESTIN_GRID1557 -1.433299   0.049445   -28.988  < 2e-16 ***
DESTIN_GRID1558 -0.559583   0.048477   -11.543  < 2e-16 ***
DESTIN_GRID1559  0.003607   0.047043     0.077 0.938882    
DESTIN_GRID1560 -0.070017   0.047038    -1.489 0.136615    
DESTIN_GRID1561 -0.879194   0.047315   -18.582  < 2e-16 ***
DESTIN_GRID1562 -3.085711   0.049762   -62.009  < 2e-16 ***
DESTIN_GRID1563 -2.091270   0.047754   -43.793  < 2e-16 ***
DESTIN_GRID1564 -1.774450   0.047590   -37.286  < 2e-16 ***
DESTIN_GRID1565 -1.149779   0.047295   -24.311  < 2e-16 ***
DESTIN_GRID1566 -2.944735   0.049640   -59.322  < 2e-16 ***
DESTIN_GRID1567 -2.791874   0.049995   -55.843  < 2e-16 ***
DESTIN_GRID1568 -1.948079   0.048425   -40.229  < 2e-16 ***
DESTIN_GRID1578 -2.290440   0.111465   -20.549  < 2e-16 ***
DESTIN_GRID1580 -2.768865   0.052515   -52.726  < 2e-16 ***
DESTIN_GRID1581 -0.469109   0.047118    -9.956  < 2e-16 ***
DESTIN_GRID1582 -0.340913   0.047049    -7.246 4.30e-13 ***
DESTIN_GRID1583 -2.245392   0.050959   -44.063  < 2e-16 ***
DESTIN_GRID1584 -2.073875   0.048396   -42.852  < 2e-16 ***
DESTIN_GRID1585 -1.423548   0.047490   -29.976  < 2e-16 ***
DESTIN_GRID1586 -0.809855   0.047169   -17.169  < 2e-16 ***
DESTIN_GRID1589 -2.438574   0.048618   -50.158  < 2e-16 ***
DESTIN_GRID1590 -1.938584   0.048695   -39.811  < 2e-16 ***
DESTIN_GRID1600 -1.015393   0.049052   -20.700  < 2e-16 ***
DESTIN_GRID1601 -1.423675   0.047416   -30.025  < 2e-16 ***
DESTIN_GRID1602 -1.053645   0.047337   -22.259  < 2e-16 ***
DESTIN_GRID1603 -0.012651   0.047052    -0.269 0.788018    
DESTIN_GRID1604 -2.251200   0.047982   -46.918  < 2e-16 ***
DESTIN_GRID1605 -1.214593   0.047228   -25.718  < 2e-16 ***
DESTIN_GRID1606 -1.971383   0.048738   -40.449  < 2e-16 ***
DESTIN_GRID1607 -0.705250   0.047086   -14.978  < 2e-16 ***
DESTIN_GRID1608 -1.394842   0.047303   -29.488  < 2e-16 ***
DESTIN_GRID1609 -0.721901   0.047168   -15.305  < 2e-16 ***
DESTIN_GRID1610 -2.822069   0.053422   -52.826  < 2e-16 ***
DESTIN_GRID1622 -0.818528   0.048285   -16.952  < 2e-16 ***
DESTIN_GRID1623 -0.431898   0.047076    -9.175  < 2e-16 ***
DESTIN_GRID1624  0.144845   0.047041     3.079 0.002076 ** 
DESTIN_GRID1625 -0.801591   0.047219   -16.976  < 2e-16 ***
DESTIN_GRID1626  0.929429   0.046948    19.797  < 2e-16 ***
DESTIN_GRID1627 -2.229707   0.047695   -46.750  < 2e-16 ***
DESTIN_GRID1628 -0.129325   0.047026    -2.750 0.005958 ** 
DESTIN_GRID1629 -3.111372   0.048935   -63.581  < 2e-16 ***
DESTIN_GRID1630 -2.764954   0.048240   -57.317  < 2e-16 ***
DESTIN_GRID1631 -3.228161   0.050491   -63.935  < 2e-16 ***
DESTIN_GRID1642 -3.281010   0.056715   -57.851  < 2e-16 ***
DESTIN_GRID1643 -0.926010   0.047241   -19.602  < 2e-16 ***
DESTIN_GRID1644 -1.027465   0.047557   -21.605  < 2e-16 ***
DESTIN_GRID1645 -1.064590   0.047292   -22.511  < 2e-16 ***
DESTIN_GRID1646 -0.867922   0.047511   -18.268  < 2e-16 ***
DESTIN_GRID1647 -1.504815   0.047268   -31.835  < 2e-16 ***
DESTIN_GRID1648 -1.498002   0.047238   -31.712  < 2e-16 ***
DESTIN_GRID1649 -0.875400   0.047077   -18.595  < 2e-16 ***
DESTIN_GRID1650 -1.794285   0.047478   -37.792  < 2e-16 ***
DESTIN_GRID1664 -5.324944   0.125420   -42.457  < 2e-16 ***
DESTIN_GRID1665 -0.291457   0.047059    -6.193 5.89e-10 ***
DESTIN_GRID1666 -0.284256   0.047058    -6.041 1.54e-09 ***
DESTIN_GRID1667 -1.343906   0.049464   -27.170  < 2e-16 ***
DESTIN_GRID1668 -1.506295   0.047360   -31.805  < 2e-16 ***
DESTIN_GRID1670 -1.115371   0.047111   -23.675  < 2e-16 ***
DESTIN_GRID1671 -1.454847   0.048037   -30.286  < 2e-16 ***
DESTIN_GRID1672 -2.493078   0.048308   -51.608  < 2e-16 ***
DESTIN_GRID1684 -0.785895   0.047824   -16.433  < 2e-16 ***
DESTIN_GRID1685 -1.716431   0.047669   -36.007  < 2e-16 ***
DESTIN_GRID1686 -0.954655   0.047228   -20.214  < 2e-16 ***
DESTIN_GRID1687 -0.708201   0.047363   -14.953  < 2e-16 ***
DESTIN_GRID1688 -1.432257   0.047355   -30.245  < 2e-16 ***
DESTIN_GRID1689 -2.215302   0.047861   -46.286  < 2e-16 ***
DESTIN_GRID1690 -2.882346   0.048527   -59.397  < 2e-16 ***
DESTIN_GRID1691 -1.052974   0.047106   -22.353  < 2e-16 ***
DESTIN_GRID1692 -2.906656   0.048799   -59.564  < 2e-16 ***
DESTIN_GRID1706 -1.062533   0.047499   -22.369  < 2e-16 ***
DESTIN_GRID1707 -1.787078   0.047561   -37.575  < 2e-16 ***
DESTIN_GRID1708 -1.165223   0.047285   -24.642  < 2e-16 ***
DESTIN_GRID1709 -0.506449   0.047111   -10.750  < 2e-16 ***
DESTIN_GRID1710 -0.735224   0.047157   -15.591  < 2e-16 ***
DESTIN_GRID1711 -0.117421   0.047020    -2.497 0.012515 *  
DESTIN_GRID1712 -1.040512   0.047089   -22.097  < 2e-16 ***
DESTIN_GRID1713 -3.412391   0.049266   -69.264  < 2e-16 ***
DESTIN_GRID1714 -2.056534   0.047592   -43.212  < 2e-16 ***
DESTIN_GRID1727 -0.546176   0.047195   -11.573  < 2e-16 ***
DESTIN_GRID1728 -0.509581   0.047097   -10.820  < 2e-16 ***
DESTIN_GRID1729 -0.387025   0.047074    -8.222  < 2e-16 ***
DESTIN_GRID1730 -1.604513   0.047671   -33.658  < 2e-16 ***
DESTIN_GRID1731 -0.937480   0.047167   -19.876  < 2e-16 ***
DESTIN_GRID1732 -1.150637   0.047114   -24.423  < 2e-16 ***
DESTIN_GRID1733 -2.361710   0.047564   -49.653  < 2e-16 ***
DESTIN_GRID1734 -1.222175   0.047138   -25.928  < 2e-16 ***
DESTIN_GRID1735 -1.908860   0.048953   -38.994  < 2e-16 ***
DESTIN_GRID1748 -1.531792   0.047691   -32.119  < 2e-16 ***
DESTIN_GRID1749 -0.314399   0.047051    -6.682 2.36e-11 ***
DESTIN_GRID1750 -0.429335   0.047076    -9.120  < 2e-16 ***
DESTIN_GRID1751 -0.893242   0.047282   -18.892  < 2e-16 ***
DESTIN_GRID1753 -0.739238   0.047102   -15.694  < 2e-16 ***
DESTIN_GRID1754  0.199359   0.046968     4.245 2.19e-05 ***
DESTIN_GRID1755 -0.638342   0.047026   -13.574  < 2e-16 ***
DESTIN_GRID1756 -1.660273   0.047218   -35.162  < 2e-16 ***
DESTIN_GRID1757 -3.999735   0.051849   -77.142  < 2e-16 ***
DESTIN_GRID1769 -1.055388   0.047318   -22.304  < 2e-16 ***
DESTIN_GRID1770 -1.273008   0.047357   -26.881  < 2e-16 ***
DESTIN_GRID1771 -0.283333   0.047142    -6.010 1.85e-09 ***
DESTIN_GRID1772  0.685543   0.047407    14.461  < 2e-16 ***
DESTIN_GRID1774 -1.888053   0.047392   -39.839  < 2e-16 ***
DESTIN_GRID1775 -2.339895   0.047548   -49.212  < 2e-16 ***
DESTIN_GRID1776 -0.029053   0.046978    -0.618 0.536282    
DESTIN_GRID1777 -2.156921   0.047448   -45.458  < 2e-16 ***
DESTIN_GRID1778 -3.092558   0.051372   -60.199  < 2e-16 ***
DESTIN_GRID1790 -0.225633   0.047146    -4.786 1.70e-06 ***
DESTIN_GRID1791 -0.829162   0.047239   -17.552  < 2e-16 ***
DESTIN_GRID1792 -0.727650   0.047406   -15.349  < 2e-16 ***
DESTIN_GRID1793 -0.719782   0.047221   -15.243  < 2e-16 ***
DESTIN_GRID1794  0.979595   0.047461    20.640  < 2e-16 ***
DESTIN_GRID1795 -3.329801   0.051553   -64.589  < 2e-16 ***
DESTIN_GRID1796 -1.258989   0.047201   -26.673  < 2e-16 ***
DESTIN_GRID1797 -1.615543   0.047209   -34.221  < 2e-16 ***
DESTIN_GRID1798 -1.546934   0.047181   -32.787  < 2e-16 ***
DESTIN_GRID1799 -2.528907   0.047805   -52.900  < 2e-16 ***
DESTIN_GRID1800 -4.187832   0.069163   -60.550  < 2e-16 ***
DESTIN_GRID1811 -1.261213   0.047477   -26.565  < 2e-16 ***
DESTIN_GRID1812  0.101017   0.047005     2.149 0.031629 *  
DESTIN_GRID1813  0.241447   0.047001     5.137 2.79e-07 ***
DESTIN_GRID1817 -2.815729   0.048351   -58.235  < 2e-16 ***
DESTIN_GRID1818 -2.058669   0.047289   -43.533  < 2e-16 ***
DESTIN_GRID1819 -0.213919   0.046993    -4.552 5.31e-06 ***
DESTIN_GRID1820 -4.946435   0.062668   -78.930  < 2e-16 ***
DESTIN_GRID1832  0.037641   0.047074     0.800 0.423930    
DESTIN_GRID1833 -1.348227   0.047385   -28.453  < 2e-16 ***
DESTIN_GRID1834 -1.439361   0.047359   -30.393  < 2e-16 ***
DESTIN_GRID1835 -1.332049   0.047469   -28.061  < 2e-16 ***
DESTIN_GRID1837 -1.494736   0.048855   -30.595  < 2e-16 ***
DESTIN_GRID1839 -2.861836   0.048270   -59.289  < 2e-16 ***
DESTIN_GRID1840 -0.186730   0.047005    -3.973 7.11e-05 ***
DESTIN_GRID1841 -3.716041   0.051988   -71.479  < 2e-16 ***
DESTIN_GRID1842 -1.373782   0.049599   -27.698  < 2e-16 ***
DESTIN_GRID1853 -0.980944   0.047245   -20.763  < 2e-16 ***
DESTIN_GRID1854 -0.716221   0.047163   -15.186  < 2e-16 ***
DESTIN_GRID1855 -0.349870   0.047106    -7.427 1.11e-13 ***
DESTIN_GRID1858 -0.437307   0.047656    -9.176  < 2e-16 ***
DESTIN_GRID1860 -2.156748   0.050222   -42.945  < 2e-16 ***
DESTIN_GRID1861 -1.872780   0.047328   -39.570  < 2e-16 ***
DESTIN_GRID1874 -1.308061   0.047801   -27.364  < 2e-16 ***
DESTIN_GRID1875 -2.977218   0.050840   -58.560  < 2e-16 ***
DESTIN_GRID1876 -1.752763   0.051691   -33.908  < 2e-16 ***
DESTIN_GRID1877 -0.554786   0.047141   -11.769  < 2e-16 ***
DESTIN_GRID1880 -1.342149   0.048952   -27.418  < 2e-16 ***
DESTIN_GRID1882 -1.785456   0.047322   -37.730  < 2e-16 ***
DESTIN_GRID1883 -2.720565   0.050700   -53.660  < 2e-16 ***
DESTIN_GRID1895 -0.684028   0.047206   -14.490  < 2e-16 ***
DESTIN_GRID1896 -1.655655   0.047538   -34.828  < 2e-16 ***
DESTIN_GRID1897 -2.322142   0.048312   -48.065  < 2e-16 ***
DESTIN_GRID1898 -2.749156   0.052597   -52.268  < 2e-16 ***
DESTIN_GRID1901 -1.854483   0.051340   -36.122  < 2e-16 ***
DESTIN_GRID1903 -3.232579   0.049931   -64.741  < 2e-16 ***
DESTIN_GRID1917 -1.682567   0.047696   -35.277  < 2e-16 ***
DESTIN_GRID1918 -0.490626   0.047303   -10.372  < 2e-16 ***
DESTIN_GRID1919 -0.417570   0.047114    -8.863  < 2e-16 ***
DESTIN_GRID1922 -0.573418   0.047990   -11.949  < 2e-16 ***
DESTIN_GRID1924 -3.184791   0.050476   -63.095  < 2e-16 ***
DESTIN_GRID1937 -1.168000   0.047499   -24.590  < 2e-16 ***
DESTIN_GRID1938 -0.350112   0.047102    -7.433 1.06e-13 ***
DESTIN_GRID1939 -1.449720   0.047578   -30.470  < 2e-16 ***
DESTIN_GRID1942 -2.125749   0.050972   -41.704  < 2e-16 ***
DESTIN_GRID1959 -1.525916   0.047776   -31.939  < 2e-16 ***
DESTIN_GRID1960  0.825977   0.046956    17.590  < 2e-16 ***
DESTIN_GRID1961 -1.854842   0.047939   -38.691  < 2e-16 ***
DESTIN_GRID1962 -1.019526   0.047294   -21.557  < 2e-16 ***
DESTIN_GRID1964 -0.372991   0.048251    -7.730 1.07e-14 ***
DESTIN_GRID1979 -1.193865   0.047645   -25.057  < 2e-16 ***
DESTIN_GRID1980 -1.374724   0.047357   -29.029  < 2e-16 ***
DESTIN_GRID1981 -1.476084   0.047448   -31.109  < 2e-16 ***
DESTIN_GRID1982 -0.798320   0.047428   -16.832  < 2e-16 ***
DESTIN_GRID1983 -1.108740   0.047295   -23.443  < 2e-16 ***
DESTIN_GRID1984 -0.998656   0.047307   -21.110  < 2e-16 ***
DESTIN_GRID1985 -0.788904   0.047233   -16.702  < 2e-16 ***
DESTIN_GRID2001 -1.098755   0.047349   -23.206  < 2e-16 ***
DESTIN_GRID2002 -0.939090   0.047151   -19.917  < 2e-16 ***
DESTIN_GRID2003 -0.408228   0.047091    -8.669  < 2e-16 ***
DESTIN_GRID2004 -0.230156   0.047081    -4.888 1.02e-06 ***
DESTIN_GRID2005 -1.202997   0.047312   -25.427  < 2e-16 ***
DESTIN_GRID2006 -0.305280   0.047116    -6.479 9.22e-11 ***
DESTIN_GRID2007 -3.621571   0.054645   -66.274  < 2e-16 ***
DESTIN_GRID2022 -0.529911   0.047325   -11.197  < 2e-16 ***
DESTIN_GRID2023 -0.583367   0.047128   -12.378  < 2e-16 ***
DESTIN_GRID2024 -0.264040   0.047054    -5.611 2.01e-08 ***
DESTIN_GRID2025 -1.555659   0.047338   -32.863  < 2e-16 ***
DESTIN_GRID2026 -2.188067   0.048226   -45.371  < 2e-16 ***
DESTIN_GRID2027 -0.308936   0.047103    -6.559 5.43e-11 ***
DESTIN_GRID2043 -1.903564   0.048122   -39.557  < 2e-16 ***
DESTIN_GRID2044 -1.184916   0.047295   -25.054  < 2e-16 ***
DESTIN_GRID2045 -1.733038   0.048402   -35.805  < 2e-16 ***
DESTIN_GRID2046 -0.261232   0.047029    -5.555 2.78e-08 ***
DESTIN_GRID2047 -2.102894   0.047750   -44.040  < 2e-16 ***
DESTIN_GRID2048 -1.837630   0.047623   -38.587  < 2e-16 ***
DESTIN_GRID2049 -3.689677   0.054240   -68.025  < 2e-16 ***
DESTIN_GRID2064 -1.248491   0.047449   -26.313  < 2e-16 ***
DESTIN_GRID2065 -1.527921   0.047517   -32.155  < 2e-16 ***
DESTIN_GRID2066 -3.433765   0.056357   -60.929  < 2e-16 ***
DESTIN_GRID2067  1.260517   0.046947    26.850  < 2e-16 ***
DESTIN_GRID2068 -2.058164   0.048524   -42.416  < 2e-16 ***
DESTIN_GRID2069 -1.608930   0.047596   -33.804  < 2e-16 ***
DESTIN_GRID2085 -1.199465   0.047539   -25.231  < 2e-16 ***
DESTIN_GRID2086  0.295590   0.047040     6.284 3.30e-10 ***
DESTIN_GRID2087  0.010312   0.047062     0.219 0.826561    
DESTIN_GRID2088 -1.230598   0.047233   -26.054  < 2e-16 ***
DESTIN_GRID2089 -1.798687   0.047754   -37.666  < 2e-16 ***
DESTIN_GRID2090  0.904250   0.046968    19.253  < 2e-16 ***
DESTIN_GRID2091 -4.156017   0.077528   -53.607  < 2e-16 ***
DESTIN_GRID2105 -1.240018   0.088965   -13.938  < 2e-16 ***
DESTIN_GRID2106 -2.633434   0.049270   -53.449  < 2e-16 ***
DESTIN_GRID2107  0.189095   0.047043     4.020 5.83e-05 ***
DESTIN_GRID2108 -0.193890   0.047123    -4.115 3.88e-05 ***
DESTIN_GRID2109 -1.537415   0.047331   -32.482  < 2e-16 ***
DESTIN_GRID2110 -2.400217   0.048364   -49.628  < 2e-16 ***
DESTIN_GRID2111 -3.450799   0.057284   -60.240  < 2e-16 ***
DESTIN_GRID2128 -1.081994   0.047788   -22.642  < 2e-16 ***
DESTIN_GRID2129 -1.022278   0.047913   -21.336  < 2e-16 ***
DESTIN_GRID2130 -1.022242   0.047200   -21.658  < 2e-16 ***
DESTIN_GRID2131 -1.110379   0.047453   -23.400  < 2e-16 ***
DESTIN_GRID2132 -1.526436   0.047464   -32.160  < 2e-16 ***
DESTIN_GRID2148 -1.528117   0.048970   -31.205  < 2e-16 ***
DESTIN_GRID2149 -1.669285   0.048107   -34.699  < 2e-16 ***
DESTIN_GRID2150 -1.262447   0.047556   -26.546  < 2e-16 ***
DESTIN_GRID2151  0.321616   0.046999     6.843 7.75e-12 ***
DESTIN_GRID2152 -0.654243   0.047177   -13.868  < 2e-16 ***
DESTIN_GRID2153 -1.912246   0.048217   -39.659  < 2e-16 ***
DESTIN_GRID2171 -0.390337   0.047200    -8.270  < 2e-16 ***
DESTIN_GRID2172 -2.129150   0.048227   -44.149  < 2e-16 ***
DESTIN_GRID2173 -1.692476   0.047470   -35.653  < 2e-16 ***
DESTIN_GRID2174 -1.126505   0.047396   -23.768  < 2e-16 ***
DESTIN_GRID2191 -0.151492   0.047480    -3.191 0.001420 ** 
DESTIN_GRID2192 -1.491776   0.048084   -31.024  < 2e-16 ***
DESTIN_GRID2193 -0.803572   0.047294   -16.991  < 2e-16 ***
DESTIN_GRID2194 -0.966359   0.047257   -20.449  < 2e-16 ***
DESTIN_GRID2195 -2.709654   0.057924   -46.780  < 2e-16 ***
DESTIN_GRID2212 -0.208420   0.048834    -4.268 1.97e-05 ***
DESTIN_GRID2213 -0.487619   0.047602   -10.244  < 2e-16 ***
DESTIN_GRID2214  0.240213   0.047455     5.062 4.15e-07 ***
DESTIN_GRID2215 -1.433664   0.047807   -29.989  < 2e-16 ***
DESTIN_GRID2216 -0.586941   0.047273   -12.416  < 2e-16 ***
DESTIN_GRID2233  0.198039   0.047934     4.131 3.60e-05 ***
DESTIN_GRID2234  0.751856   0.047632    15.785  < 2e-16 ***
DESTIN_GRID2235 -0.658294   0.047786   -13.776  < 2e-16 ***
DESTIN_GRID2236 -2.061917   0.048796   -42.256  < 2e-16 ***
DESTIN_GRID2237 -0.607926   0.048341   -12.576  < 2e-16 ***
DESTIN_GRID2256 -0.564497   0.048625   -11.609  < 2e-16 ***
DESTIN_GRID2257 -2.802802   0.053616   -52.275  < 2e-16 ***
DESTIN_GRID2258 -0.866282   0.047479   -18.245  < 2e-16 ***
DESTIN_GRID2259  0.244893   0.048016     5.100 3.39e-07 ***
DESTIN_GRID2277 -1.579467   0.053008   -29.797  < 2e-16 ***
DESTIN_GRID2278 -1.303948   0.049460   -26.364  < 2e-16 ***
DESTIN_GRID2279 -0.564041   0.047469   -11.882  < 2e-16 ***
DESTIN_GRID2280 -1.912178   0.056740   -33.701  < 2e-16 ***
DESTIN_GRID2297 -1.506724   0.049557   -30.404  < 2e-16 ***
DESTIN_GRID2300 -1.468713   0.050908   -28.850  < 2e-16 ***
DESTIN_GRID2301 -0.920004   0.047917   -19.200  < 2e-16 ***
DESTIN_GRID2318  0.514802   0.047219    10.902  < 2e-16 ***
DESTIN_GRID2319  0.470313   0.047181     9.968  < 2e-16 ***
DESTIN_GRID2322 -0.549943   0.047824   -11.499  < 2e-16 ***
DESTIN_GRID2337 -0.038678   0.050499    -0.766 0.443730    
DESTIN_GRID2341  0.733430   0.047160    15.552  < 2e-16 ***
DESTIN_GRID2343 -1.362510   0.048582   -28.045  < 2e-16 ***
DESTIN_GRID2361 -0.490302   0.047715   -10.276  < 2e-16 ***
DESTIN_GRID2364 -2.482051   0.055483   -44.735  < 2e-16 ***
DESTIN_GRID2379 -1.458867   0.054621   -26.709  < 2e-16 ***
DESTIN_GRID2384  0.493086   0.047365    10.410  < 2e-16 ***
DESTIN_GRID2405  1.134896   0.047174    24.058  < 2e-16 ***
DESTIN_GRID2406 -1.899206   0.052691   -36.044  < 2e-16 ***
DESTIN_GRID2426  0.576004   0.048235    11.942  < 2e-16 ***
DESTIN_GRID2427  0.888438   0.047389    18.748  < 2e-16 ***
DESTIN_GRID2505  0.475442   0.050710     9.376  < 2e-16 ***
log(DISTANCE)   -1.599468   0.000292 -5476.768  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 93555140  on 65104  degrees of freedom
Residual deviance: 24096190  on 63476  degrees of freedom
AIC: 24457445

Number of Fisher Scoring iterations: 7

From the above output, all the variables are still significant since they have a p-value of less than 0.05. While there are changes to the coefficient estimates across all 3 SIMs, removing outliers does not change the ranking of the explanatory variables’ importance.

We will now compare their R2 using the following code chunk.

CalcRSquared(orcSIM_Poisson2$data$TRIPS, orcSIM_Poisson2$fitted.values)
[1] 0.390421
CalcRSquared(decSIM_Poisson2$data$TRIPS, decSIM_Poisson2$fitted.values)
[1] 0.4518601
CalcRSquared(dbcSIM_Poisson2$data$TRIPS, dbcSIM_Poisson2$fitted.values)
[1] 0.5626781

From the above output, we see that there are slight drop in the R2 for origin-constrained and doubly-constrained SIMs but the R2 for destination-constrained SIM improved. As part of future work, we can also explore the reasons (e.g. variables or certain flows) that lead to this. Nonetheless, doubly constrained still has the best R2 out of the 3 SIMs.

We will now calculate their RMSE using the following code chunk.

Show the code 
model_list2 <- list(originConstrained_ro=orcSIM_Poisson2,
                   destinationConstrained_ro=decSIM_Poisson2,
                   doublyConstrained_ro=dbcSIM_Poisson2)

compare_performance(model_list2,
                    metrics = "RMSE")
# Comparison of Model Performance Indices

Name                      | Model |     RMSE
--------------------------------------------
originConstrained_ro      |   glm | 1292.434
destinationConstrained_ro |   glm | 1224.968
doublyConstrained_ro      |   glm | 1094.114

From the above output, all 3 SIMs’ RMSE decreased after removing outliers. Nonetheless, doubly-constrained SIM still has the lowest SIM.

Our Best Model (for now)

Based on the above results, it seems that the doubly constrained model gives us the best R2 and RMSE (regardless if we remove outliers or not).

Also from this exploration, it seems to indicate that the outliers that we remove might not really be “outliers” but they are indeed high trip volumes experienced during weekday morning peak hour period.

11 Conclusion and Future Work

In this exercise, we have constructed OD flows and calibrated Spatial Interaction Models. We found that the Doubly Constrained SIM without removing “outliers” gave us the highest R2 and a relatively low RMSE. It seems that the highest trip volumes during weekday morning peak hour period in Oct 2023 were due to people travelling relatively short distances to reach another location with an MRT station.

SIMs assume that using distance as an explanatory variable will eradicate the spatial dependence among the sample of OD flows between pairs of locations but in reality, OD flows are influenced by factors other than distance. Hence, for future work, we can consider using Spatial Econometric Interaction Models introduced by James P. LeSage and R. Kelley Pace (2009) to find out the factors that contribute to the observed commuter flows.

12 References

Farmer, C. and Oshan, T. (2017). Spatial interaction. The Geographic Information Science & Technology Body of Knowledge (4th Quarter 2017 Edition), John P. Wilson (ed.). DOI: 10.22224/gistbok/2017.4.5

Haynes, K.E., & Fotheringham, A.S. (1985). Gravity and Spatial Interaction Models. Reprint. Edited by Grant Ian Thrall. WVU Research Repository, 2020.

Kam, T. S. (2022a). Calibrating Spatial Interaction Models with R [Webbook]. In R for Geospatial Data Science and Analytics. https://r4gdsa.netlify.app/chap16

Kam, T. S. (2022b). Processing and Visualising Flow Data [Webbook]. In R for Geospatial Data Science and Analytics. https://r4gdsa.netlify.app/chap15