::p_load(tidyverse,sf, httr, tmap, performance, ggpubr) pacman
In Class Exercise 4
Overview
performing geocoding using data downloaded from dta.gov.sg
calibrating geographically weighted poisson regression
Getting started
Lastly, the found data table will joined in the initial csv data table by using a unique identifier (i.e. POSTAL) common to both data tables. The output data table will be save as an csv file called found.
<- 'https://www.onemap.gov.sg/api/common/elastic/search' url
<- read_csv("data/aspatial/Generalinformationofschools.csv") csv
Rows: 346 Columns: 31
── Column specification ────────────────────────────────────────────────────────
Delimiter: ","
chr (31): school_name, url_address, address, postal_code, telephone_no, tele...
ℹ Use `spec()` to retrieve the full column specification for this data.
ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
<- csv$`postal_code` postcodes
<- data.frame()
found <- data.frame() not_founds
for (postcode in postcodes) {
<- list(`searchVal` = postcode, `returnGeom` ='Y', `getAddrDetails`='Y', `pageNum` = '1')
query <- GET(url, query=query)
res
if((content(res)$found) != 0) {
<- rbind(found, data.frame(content(res))[4:13])
found else{
} = data.frame(postcode)
not_found
} }
The code chunk below will be used to combine both found and not_found data.frames into a single tibble data.frame called merged. At the same time, we will merged and not_found tibble data.frames into csv file format for subsequent used.
= merge(csv, found, by.x='postal_code', by.y = 'results.POSTAL', all = TRUE)
merged write.csv(merged, file="data/aspatial/schools.csv")
write.csv(not_found, file="data/aspatial/not_found.csv")
Converting an aspatial data into a simple feature tibble data.frame
importing and tidying schools data
in this sub-section, you will import schools.csv into R environment and at the same time tidying the data by selecting only the necessary fields as well as rename some fields.
<- read_csv("data/aspatial/schools.csv") schools
New names:
Rows: 350 Columns: 41
── Column specification
──────────────────────────────────────────────────────── Delimiter: "," chr
(36): postal_code, school_name, url_address, address, telephone_no, tele... dbl
(5): ...1, results.X, results.Y, results.LATITUDE, results.LONGITUDE
ℹ Use `spec()` to retrieve the full column specification for this data. ℹ
Specify the column types or set `show_col_types = FALSE` to quiet this message.
• `` -> `...1`
<- schools %>%
schools rename(latitude=results.LATITUDE, longitude=results.LONGITUDE)
<- schools %>%
schools select(postal_code, school_name, latitude, longitude)
Converting an aspatial data into sf tibble data.frame
Next, you will convert the asptial data into a simple feature tibble data.frame called schools_sf
refer to st_as_sf() of sf package.
<- schools[!is.na(schools$longitude) & !is.na(schools$latitude), ]
schools
<- st_as_sf(schools,
schools_sf coords = c("longitude", "latitude"),
crs=4326) %>% #Use WGS84
st_transform(crs = 3414) #Code in WGS84 -- change to geometry point
Plotting a point simple feature layer
To ensure that schools sf tibble data.frame has been projected and converted correctly, you can plot the schools point data for visual inspection.
tmap_mode("view")
tmap mode set to interactive viewing
tm_shape(schools_sf) +
tm_dots() +
tm_view(set.zoom.limits = c(11,14))
= st_read(dsn = "data/geospatial",
mpsz layer = "MP14_SUBZONE_WEB_PL") %>%
st_transform(crs = 3414)
Reading layer `MP14_SUBZONE_WEB_PL' from data source
`D:\zhphyo\ISSS624\In-class_Ex4\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 323 features and 15 fields
Geometry type: MULTIPOLYGON
Dimension: XY
Bounding box: xmin: 2667.538 ymin: 15748.72 xmax: 56396.44 ymax: 50256.33
Projected CRS: SVY21
$'SCHOOL_COUNT' <- lengths(
mpszst_intersects(
mpsz, schools_sf))
summary(mpsz$'SCHOOL_COUNT')
Min. 1st Qu. Median Mean 3rd Qu. Max.
0.00 0.00 0.00 1.08 2.00 12.00
= st_read(dsn = "data/geospatial",
business_sf layer = "Business") %>%
st_transform(crs = 3414)
Reading layer `Business' from data source
`D:\zhphyo\ISSS624\In-class_Ex4\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
tmap_options(check.and.fix = TRUE)
tm_shape(mpsz) +
tm_polygons() +
tm_shape(business_sf) +
tm_dots()
Warning: The shape mpsz is invalid (after reprojection). See sf::st_is_valid
<- read_rds("data/rds/flow_data_tidy.rds")
flow_data
glimpse(flow_data)
Rows: 14,734
Columns: 13
$ ORIGIN_SZ <chr> "AMSZ01", "AMSZ01", "AMSZ01", "AMSZ01", "AMSZ01", "AMS…
$ DESTIN_SZ <chr> "AMSZ01", "AMSZ02", "AMSZ03", "AMSZ04", "AMSZ05", "AMS…
$ MORNING_PEAK <dbl> 1998, 8289, 8971, 2252, 6136, 2148, 1620, 1925, 1773, …
$ dist <dbl> 50.0000, 810.4491, 1360.9294, 840.4432, 1076.7916, 805…
$ ORIGIN_AGE7_12 <dbl> 310, 310, 310, 310, 310, 310, 310, 310, 310, 310, 310,…
$ ORIGIN_AGE13_24 <dbl> 710, 710, 710, 710, 710, 710, 710, 710, 710, 710, 710,…
$ ORIGIN_AGE25_64 <dbl> 2780, 2780, 2780, 2780, 2780, 2780, 2780, 2780, 2780, …
$ DESTIN_AGE7_12 <dbl> 310.00, 1140.00, 1010.00, 980.00, 810.00, 1050.00, 420…
$ DESTIN_AGE13_24 <dbl> 710.00, 2770.00, 2650.00, 2000.00, 1920.00, 2390.00, 1…
$ DESTIN_AGE25_64 <dbl> 2780.00, 15700.00, 14240.00, 11320.00, 9650.00, 12460.…
$ SCHOOL_COUNT <dbl> 0.99, 2.00, 2.00, 1.00, 3.00, 2.00, 0.99, 0.99, 3.00, …
$ RETAIL_COUNT <dbl> 1.00, 0.99, 6.00, 0.99, 0.99, 0.99, 1.00, 117.00, 0.99…
$ geometry <LINESTRING [m]> LINESTRING (29501.77 39419...., LINESTRING …
Notice that this sf tibble data.frame includes 2 additional fields namely SCHOOL_COUNT and RETAIL_COUNT. Both of them will be used as attractiveness varibales when calibrating origin constrainted SIM
$FlowNoIntra <- ifelse(
flow_data$ORIGIN_SZ == flow_data$DESTIN_SZ,
flow_data0, flow_data$MORNING_PEAK)
$offset <- ifelse(
flow_data$ORIGIN_SZ == flow_data$DESTIN_SZ,
flow_data0.000001,1)
<- flow_data %>%
inter_zonal_flow filter(FlowNoIntra > 0)
<- inter_zonal_flow %>%
inter_zonal_flow rename(TRIPS = MORNING_PEAK,
DIST = dist)
Origin (Production) constrained SIM
In this section, we will fit an origin constrained SIM by using the code chunk below.
For origin constraint and destination constraint, no longer need intersects.
<- glm(formula = TRIPS ~
orcSIM_Poisson +
ORIGIN_SZ log(SCHOOL_COUNT) + #reflect attactiveness factor
log(RETAIL_COUNT) + #try to model
log(DIST) -1, #remove away intersects
family = poisson(link = "log"),
data = inter_zonal_flow,
na.action = na.exclude) #exclude na
options(max.print=10000)
summary(orcSIM_Poisson)
Call:
glm(formula = TRIPS ~ ORIGIN_SZ + log(SCHOOL_COUNT) + log(RETAIL_COUNT) +
log(DIST) - 1, family = poisson(link = "log"), data = inter_zonal_flow,
na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
ORIGIN_SZAMSZ01 19.8739840 0.0047627 4172.84 <2e-16 ***
ORIGIN_SZAMSZ02 20.5902203 0.0042786 4812.33 <2e-16 ***
ORIGIN_SZAMSZ03 20.2327026 0.0045531 4443.70 <2e-16 ***
ORIGIN_SZAMSZ04 19.7744438 0.0049837 3967.79 <2e-16 ***
ORIGIN_SZAMSZ05 19.6574529 0.0056396 3485.61 <2e-16 ***
ORIGIN_SZAMSZ06 19.9659115 0.0048946 4079.16 <2e-16 ***
ORIGIN_SZAMSZ07 18.6746164 0.0096316 1938.90 <2e-16 ***
ORIGIN_SZAMSZ08 19.2701601 0.0090776 2122.82 <2e-16 ***
ORIGIN_SZAMSZ09 19.9889467 0.0052858 3781.64 <2e-16 ***
ORIGIN_SZAMSZ10 20.3422035 0.0045778 4443.62 <2e-16 ***
ORIGIN_SZAMSZ11 18.3944113 0.0129212 1423.58 <2e-16 ***
ORIGIN_SZAMSZ12 18.3484209 0.0109652 1673.33 <2e-16 ***
ORIGIN_SZBDSZ01 20.9668587 0.0043388 4832.36 <2e-16 ***
ORIGIN_SZBDSZ02 20.4059518 0.0050601 4032.75 <2e-16 ***
ORIGIN_SZBDSZ03 20.6725514 0.0045276 4565.93 <2e-16 ***
ORIGIN_SZBDSZ04 21.6703853 0.0038930 5566.44 <2e-16 ***
ORIGIN_SZBDSZ05 20.7497445 0.0046085 4502.46 <2e-16 ***
ORIGIN_SZBDSZ06 20.9119361 0.0046432 4503.77 <2e-16 ***
ORIGIN_SZBDSZ07 18.9749815 0.0097896 1938.28 <2e-16 ***
ORIGIN_SZBDSZ08 19.1933901 0.0091312 2101.95 <2e-16 ***
ORIGIN_SZBKSZ01 19.5422606 0.0064732 3018.96 <2e-16 ***
ORIGIN_SZBKSZ02 20.1748913 0.0050076 4028.89 <2e-16 ***
ORIGIN_SZBKSZ03 20.3984624 0.0047226 4319.35 <2e-16 ***
ORIGIN_SZBKSZ04 19.6182212 0.0059652 3288.76 <2e-16 ***
ORIGIN_SZBKSZ05 19.6033818 0.0063181 3102.74 <2e-16 ***
ORIGIN_SZBKSZ06 19.7145224 0.0056372 3497.20 <2e-16 ***
ORIGIN_SZBKSZ07 20.4237448 0.0041912 4873.03 <2e-16 ***
ORIGIN_SZBKSZ08 19.7992538 0.0050405 3928.02 <2e-16 ***
ORIGIN_SZBKSZ09 19.7821586 0.0055558 3560.66 <2e-16 ***
ORIGIN_SZBLSZ01 17.7977276 0.0149058 1194.01 <2e-16 ***
ORIGIN_SZBLSZ02 17.4287491 0.0192364 906.03 <2e-16 ***
ORIGIN_SZBLSZ03 16.5884288 0.0459848 360.74 <2e-16 ***
ORIGIN_SZBLSZ04 17.7851626 0.0232823 763.89 <2e-16 ***
ORIGIN_SZBMSZ01 20.0751840 0.0052887 3795.89 <2e-16 ***
ORIGIN_SZBMSZ02 18.6956140 0.0066656 2804.80 <2e-16 ***
ORIGIN_SZBMSZ03 19.3204425 0.0054755 3528.56 <2e-16 ***
ORIGIN_SZBMSZ04 19.4724220 0.0049390 3942.59 <2e-16 ***
ORIGIN_SZBMSZ05 16.9581801 0.0168804 1004.61 <2e-16 ***
ORIGIN_SZBMSZ06 16.9898638 0.0181852 934.27 <2e-16 ***
ORIGIN_SZBMSZ07 19.2868403 0.0056231 3429.91 <2e-16 ***
ORIGIN_SZBMSZ08 19.1477543 0.0055918 3424.28 <2e-16 ***
ORIGIN_SZBMSZ09 18.7564539 0.0086298 2173.46 <2e-16 ***
ORIGIN_SZBMSZ10 18.3617854 0.0089250 2057.35 <2e-16 ***
ORIGIN_SZBMSZ11 18.9167941 0.0063340 2986.54 <2e-16 ***
ORIGIN_SZBMSZ12 18.7874661 0.0093024 2019.63 <2e-16 ***
ORIGIN_SZBMSZ13 19.5654046 0.0057517 3401.70 <2e-16 ***
ORIGIN_SZBMSZ14 19.0685619 0.0063346 3010.24 <2e-16 ***
ORIGIN_SZBMSZ15 19.4403124 0.0058147 3343.30 <2e-16 ***
ORIGIN_SZBMSZ16 18.4469203 0.0092638 1991.28 <2e-16 ***
ORIGIN_SZBMSZ17 18.3430175 0.0157692 1163.22 <2e-16 ***
ORIGIN_SZBPSZ01 20.1806714 0.0053660 3760.81 <2e-16 ***
ORIGIN_SZBPSZ02 19.8116707 0.0061485 3222.19 <2e-16 ***
ORIGIN_SZBPSZ03 19.8467602 0.0059769 3320.57 <2e-16 ***
ORIGIN_SZBPSZ04 20.4613200 0.0048398 4227.72 <2e-16 ***
ORIGIN_SZBPSZ05 20.5379711 0.0043769 4692.39 <2e-16 ***
ORIGIN_SZBPSZ06 18.8948034 0.0093668 2017.21 <2e-16 ***
ORIGIN_SZBPSZ07 19.4104568 0.0087961 2206.70 <2e-16 ***
ORIGIN_SZBSSZ01 20.0139503 0.0056561 3538.45 <2e-16 ***
ORIGIN_SZBSSZ02 20.2543885 0.0047198 4291.38 <2e-16 ***
ORIGIN_SZBSSZ03 19.5428803 0.0052713 3707.41 <2e-16 ***
ORIGIN_SZBTSZ01 20.0198045 0.0058541 3419.77 <2e-16 ***
ORIGIN_SZBTSZ02 19.3618525 0.0081472 2376.51 <2e-16 ***
ORIGIN_SZBTSZ03 19.5883853 0.0068935 2841.59 <2e-16 ***
ORIGIN_SZBTSZ04 18.7720238 0.0103909 1806.58 <2e-16 ***
ORIGIN_SZBTSZ05 18.8069026 0.0120628 1559.08 <2e-16 ***
ORIGIN_SZBTSZ06 18.7068633 0.0094575 1978.00 <2e-16 ***
ORIGIN_SZBTSZ07 17.6292257 0.0141551 1245.43 <2e-16 ***
ORIGIN_SZBTSZ08 18.6989374 0.0109610 1705.94 <2e-16 ***
ORIGIN_SZCBSZ01 18.2189868 0.0548317 332.27 <2e-16 ***
ORIGIN_SZCCSZ01 18.9734563 0.0139450 1360.59 <2e-16 ***
ORIGIN_SZCHSZ01 19.5955119 0.0121035 1619.00 <2e-16 ***
ORIGIN_SZCHSZ02 19.3320960 0.0081620 2368.55 <2e-16 ***
ORIGIN_SZCHSZ03 21.2164518 0.0063552 3338.43 <2e-16 ***
ORIGIN_SZCKSZ01 20.1046845 0.0049333 4075.29 <2e-16 ***
ORIGIN_SZCKSZ02 20.5371946 0.0050256 4086.53 <2e-16 ***
ORIGIN_SZCKSZ03 20.7210560 0.0042184 4912.07 <2e-16 ***
ORIGIN_SZCKSZ04 21.4013886 0.0042524 5032.80 <2e-16 ***
ORIGIN_SZCKSZ05 20.9413146 0.0049434 4236.18 <2e-16 ***
ORIGIN_SZCKSZ06 20.2557727 0.0071832 2819.88 <2e-16 ***
ORIGIN_SZCLSZ01 19.3383703 0.0076634 2523.46 <2e-16 ***
ORIGIN_SZCLSZ02 18.5226956 0.0135522 1366.77 <2e-16 ***
ORIGIN_SZCLSZ03 19.0225512 0.0080145 2373.51 <2e-16 ***
ORIGIN_SZCLSZ04 20.7981505 0.0042400 4905.22 <2e-16 ***
ORIGIN_SZCLSZ05 18.3015625 0.0146815 1246.58 <2e-16 ***
ORIGIN_SZCLSZ06 20.8207386 0.0039567 5262.09 <2e-16 ***
ORIGIN_SZCLSZ07 19.6728958 0.0054199 3629.76 <2e-16 ***
ORIGIN_SZCLSZ08 20.0851929 0.0056956 3526.43 <2e-16 ***
ORIGIN_SZCLSZ09 18.5749589 0.0165415 1122.93 <2e-16 ***
ORIGIN_SZDTSZ02 15.8276209 0.0833992 189.78 <2e-16 ***
ORIGIN_SZDTSZ03 16.2512838 0.0737972 220.22 <2e-16 ***
ORIGIN_SZDTSZ13 16.7744385 0.0312450 536.87 <2e-16 ***
ORIGIN_SZGLSZ01 18.2368248 0.0096104 1897.62 <2e-16 ***
ORIGIN_SZGLSZ02 19.8705255 0.0049014 4054.06 <2e-16 ***
ORIGIN_SZGLSZ03 19.8249435 0.0053109 3732.85 <2e-16 ***
ORIGIN_SZGLSZ04 20.7800335 0.0041261 5036.20 <2e-16 ***
ORIGIN_SZGLSZ05 20.6040494 0.0043049 4786.23 <2e-16 ***
ORIGIN_SZHGSZ01 20.0273475 0.0044824 4468.04 <2e-16 ***
ORIGIN_SZHGSZ02 20.2480656 0.0044575 4542.47 <2e-16 ***
ORIGIN_SZHGSZ03 20.0756442 0.0049003 4096.81 <2e-16 ***
ORIGIN_SZHGSZ04 20.7577748 0.0040465 5129.84 <2e-16 ***
ORIGIN_SZHGSZ05 20.9779992 0.0040123 5228.42 <2e-16 ***
ORIGIN_SZHGSZ06 19.7403058 0.0054229 3640.20 <2e-16 ***
ORIGIN_SZHGSZ07 20.1896268 0.0046051 4384.22 <2e-16 ***
ORIGIN_SZHGSZ08 19.8646492 0.0052403 3790.72 <2e-16 ***
ORIGIN_SZHGSZ09 18.3647736 0.0069196 2654.04 <2e-16 ***
ORIGIN_SZHGSZ10 16.8720475 0.0421046 400.72 <2e-16 ***
ORIGIN_SZJESZ01 20.2673794 0.0046723 4337.79 <2e-16 ***
ORIGIN_SZJESZ02 20.0595982 0.0046503 4313.61 <2e-16 ***
ORIGIN_SZJESZ03 19.9128778 0.0049848 3994.75 <2e-16 ***
ORIGIN_SZJESZ04 18.5053667 0.0099227 1864.94 <2e-16 ***
ORIGIN_SZJESZ05 17.8172930 0.0138840 1283.29 <2e-16 ***
ORIGIN_SZJESZ06 20.0124157 0.0045009 4446.36 <2e-16 ***
ORIGIN_SZJESZ07 18.1821423 0.0117267 1550.49 <2e-16 ***
ORIGIN_SZJESZ08 18.8713046 0.0116456 1620.46 <2e-16 ***
ORIGIN_SZJESZ09 20.5535527 0.0048456 4241.72 <2e-16 ***
ORIGIN_SZJESZ10 18.4922322 0.0191243 966.95 <2e-16 ***
ORIGIN_SZJESZ11 18.2891211 0.0197114 927.85 <2e-16 ***
ORIGIN_SZJWSZ01 20.4912737 0.0063102 3247.35 <2e-16 ***
ORIGIN_SZJWSZ02 20.8236694 0.0042249 4928.82 <2e-16 ***
ORIGIN_SZJWSZ03 21.2587613 0.0039733 5350.40 <2e-16 ***
ORIGIN_SZJWSZ04 20.3816464 0.0046199 4411.67 <2e-16 ***
ORIGIN_SZJWSZ05 18.0607448 0.0128857 1401.61 <2e-16 ***
ORIGIN_SZJWSZ06 18.7015202 0.0107614 1737.83 <2e-16 ***
ORIGIN_SZJWSZ07 17.3991822 0.0277096 627.91 <2e-16 ***
ORIGIN_SZJWSZ08 21.8044465 0.0037356 5836.95 <2e-16 ***
ORIGIN_SZJWSZ09 21.5414930 0.0036033 5978.19 <2e-16 ***
ORIGIN_SZKLSZ01 20.0307712 0.0047868 4184.59 <2e-16 ***
ORIGIN_SZKLSZ02 19.0634769 0.0062318 3059.05 <2e-16 ***
ORIGIN_SZKLSZ03 19.2685700 0.0057172 3370.25 <2e-16 ***
ORIGIN_SZKLSZ04 17.7085067 0.0119809 1478.06 <2e-16 ***
ORIGIN_SZKLSZ05 18.6384471 0.0107596 1732.26 <2e-16 ***
ORIGIN_SZKLSZ06 13.7280296 0.1857160 73.92 <2e-16 ***
ORIGIN_SZKLSZ07 18.6425146 0.0084952 2194.47 <2e-16 ***
ORIGIN_SZKLSZ08 18.0928506 0.0101567 1781.37 <2e-16 ***
ORIGIN_SZLKSZ01 17.8907138 0.0397083 450.55 <2e-16 ***
ORIGIN_SZMDSZ01 18.7605188 0.0285455 657.22 <2e-16 ***
ORIGIN_SZMDSZ02 19.1533927 0.0102815 1862.90 <2e-16 ***
ORIGIN_SZMDSZ03 17.8404982 0.0169690 1051.36 <2e-16 ***
ORIGIN_SZMPSZ01 19.0765941 0.0083937 2272.74 <2e-16 ***
ORIGIN_SZMPSZ02 19.2162527 0.0068331 2812.24 <2e-16 ***
ORIGIN_SZMPSZ03 19.9965344 0.0054569 3664.44 <2e-16 ***
ORIGIN_SZMUSZ02 15.9130765 0.1037472 153.38 <2e-16 ***
ORIGIN_SZNTSZ01 17.0840999 0.0352513 484.64 <2e-16 ***
ORIGIN_SZNTSZ02 16.5792122 0.0233186 710.99 <2e-16 ***
ORIGIN_SZNTSZ03 18.9506415 0.0075957 2494.93 <2e-16 ***
ORIGIN_SZNTSZ05 15.8770261 0.0495825 320.21 <2e-16 ***
ORIGIN_SZNTSZ06 15.3997415 0.0557029 276.46 <2e-16 ***
ORIGIN_SZNVSZ01 20.2241694 0.0043487 4650.65 <2e-16 ***
ORIGIN_SZNVSZ02 19.1897826 0.0065383 2934.97 <2e-16 ***
ORIGIN_SZNVSZ03 18.8854268 0.0080459 2347.22 <2e-16 ***
ORIGIN_SZNVSZ04 18.8940191 0.0090985 2076.61 <2e-16 ***
ORIGIN_SZNVSZ05 17.6278585 0.0168107 1048.61 <2e-16 ***
ORIGIN_SZPGSZ01 19.4825220 0.0122960 1584.46 <2e-16 ***
ORIGIN_SZPGSZ02 19.4726761 0.0073116 2663.25 <2e-16 ***
ORIGIN_SZPGSZ03 20.5515713 0.0045631 4503.86 <2e-16 ***
ORIGIN_SZPGSZ04 21.0527131 0.0041500 5072.89 <2e-16 ***
ORIGIN_SZPGSZ05 20.1436604 0.0057267 3517.48 <2e-16 ***
ORIGIN_SZPLSZ01 19.1832002 0.0120006 1598.53 <2e-16 ***
ORIGIN_SZPLSZ02 18.8752206 0.0149740 1260.53 <2e-16 ***
ORIGIN_SZPLSZ03 18.1000818 0.0371769 486.86 <2e-16 ***
ORIGIN_SZPLSZ04 17.1730559 0.0370280 463.79 <2e-16 ***
ORIGIN_SZPLSZ05 17.9084439 0.0225031 795.82 <2e-16 ***
ORIGIN_SZPNSZ01 21.0804425 0.0044829 4702.41 <2e-16 ***
ORIGIN_SZPNSZ02 19.8822123 0.0111507 1783.05 <2e-16 ***
ORIGIN_SZPNSZ03 17.9293289 0.0193571 926.24 <2e-16 ***
ORIGIN_SZPNSZ04 17.1039594 0.0334954 510.64 <2e-16 ***
ORIGIN_SZPNSZ05 18.2543864 0.0275554 662.46 <2e-16 ***
ORIGIN_SZPRSZ01 19.8777935 0.0117586 1690.49 <2e-16 ***
ORIGIN_SZPRSZ02 21.0751780 0.0044832 4700.88 <2e-16 ***
ORIGIN_SZPRSZ03 20.6717019 0.0045577 4535.55 <2e-16 ***
ORIGIN_SZPRSZ04 19.6365125 0.0074923 2620.90 <2e-16 ***
ORIGIN_SZPRSZ05 21.3132151 0.0042119 5060.24 <2e-16 ***
ORIGIN_SZPRSZ06 18.9314574 0.0117278 1614.24 <2e-16 ***
ORIGIN_SZPRSZ07 17.2822918 0.0162430 1063.98 <2e-16 ***
ORIGIN_SZPRSZ08 19.9267642 0.0062298 3198.62 <2e-16 ***
ORIGIN_SZQTSZ01 19.7357175 0.0066359 2974.08 <2e-16 ***
ORIGIN_SZQTSZ02 19.2082141 0.0061402 3128.26 <2e-16 ***
ORIGIN_SZQTSZ03 19.7771883 0.0056220 3517.83 <2e-16 ***
ORIGIN_SZQTSZ04 18.7114421 0.0072842 2568.76 <2e-16 ***
ORIGIN_SZQTSZ05 19.3049324 0.0062401 3093.69 <2e-16 ***
ORIGIN_SZQTSZ06 19.2643228 0.0065590 2937.09 <2e-16 ***
ORIGIN_SZQTSZ07 18.5697347 0.0095373 1947.06 <2e-16 ***
ORIGIN_SZQTSZ08 19.6147001 0.0061330 3198.21 <2e-16 ***
ORIGIN_SZQTSZ09 19.2550793 0.0069947 2752.82 <2e-16 ***
ORIGIN_SZQTSZ10 19.5801866 0.0064513 3035.07 <2e-16 ***
ORIGIN_SZQTSZ11 17.7398366 0.0143648 1234.95 <2e-16 ***
ORIGIN_SZQTSZ12 17.2420354 0.0186736 923.34 <2e-16 ***
ORIGIN_SZQTSZ13 19.3857418 0.0078878 2457.69 <2e-16 ***
ORIGIN_SZQTSZ14 18.1300753 0.0122096 1484.90 <2e-16 ***
ORIGIN_SZQTSZ15 19.4222283 0.0120871 1606.86 <2e-16 ***
ORIGIN_SZRCSZ01 18.1549045 0.0125108 1451.13 <2e-16 ***
ORIGIN_SZRCSZ06 18.8836400 0.0082161 2298.38 <2e-16 ***
ORIGIN_SZRVSZ01 16.7864438 0.0323796 518.43 <2e-16 ***
ORIGIN_SZRVSZ02 16.4203244 0.0276836 593.14 <2e-16 ***
ORIGIN_SZRVSZ03 16.6453738 0.0244992 679.42 <2e-16 ***
ORIGIN_SZRVSZ04 15.9559213 0.0556344 286.80 <2e-16 ***
ORIGIN_SZRVSZ05 17.0476331 0.0164122 1038.71 <2e-16 ***
ORIGIN_SZSBSZ01 20.0417968 0.0062488 3207.29 <2e-16 ***
ORIGIN_SZSBSZ02 19.1869565 0.0081051 2367.26 <2e-16 ***
ORIGIN_SZSBSZ03 20.5769861 0.0045108 4561.70 <2e-16 ***
ORIGIN_SZSBSZ04 20.5154199 0.0050548 4058.57 <2e-16 ***
ORIGIN_SZSBSZ05 19.6250669 0.0065562 2993.35 <2e-16 ***
ORIGIN_SZSBSZ06 18.8419757 0.0171135 1101.00 <2e-16 ***
ORIGIN_SZSBSZ07 19.4897259 0.0124528 1565.09 <2e-16 ***
ORIGIN_SZSBSZ08 18.7027917 0.0140545 1330.73 <2e-16 ***
ORIGIN_SZSBSZ09 18.8893480 0.0088571 2132.67 <2e-16 ***
ORIGIN_SZSESZ02 20.8962192 0.0041665 5015.34 <2e-16 ***
ORIGIN_SZSESZ03 20.9452771 0.0039737 5270.94 <2e-16 ***
ORIGIN_SZSESZ04 20.6576142 0.0046364 4455.55 <2e-16 ***
ORIGIN_SZSESZ05 19.5170732 0.0058912 3312.92 <2e-16 ***
ORIGIN_SZSESZ06 20.7595824 0.0045747 4537.89 <2e-16 ***
ORIGIN_SZSESZ07 17.6888256 0.0195787 903.47 <2e-16 ***
ORIGIN_SZSGSZ01 19.1359250 0.0085781 2230.79 <2e-16 ***
ORIGIN_SZSGSZ02 18.5614369 0.0102037 1819.10 <2e-16 ***
ORIGIN_SZSGSZ03 19.9933176 0.0050434 3964.23 <2e-16 ***
ORIGIN_SZSGSZ04 20.2426871 0.0047211 4287.71 <2e-16 ***
ORIGIN_SZSGSZ05 18.0114965 0.0107743 1671.70 <2e-16 ***
ORIGIN_SZSGSZ06 20.2593194 0.0044538 4548.76 <2e-16 ***
ORIGIN_SZSGSZ07 19.0763664 0.0062968 3029.54 <2e-16 ***
ORIGIN_SZSKSZ01 19.9222451 0.0085136 2340.04 <2e-16 ***
ORIGIN_SZSKSZ02 20.8633383 0.0055248 3776.33 <2e-16 ***
ORIGIN_SZSKSZ03 19.6528148 0.0080534 2440.33 <2e-16 ***
ORIGIN_SZSKSZ04 18.0754470 0.0275771 655.45 <2e-16 ***
ORIGIN_SZSKSZ05 19.1192521 0.0155579 1228.91 <2e-16 ***
ORIGIN_SZSLSZ01 17.1501034 0.0329384 520.67 <2e-16 ***
ORIGIN_SZSLSZ04 19.5949774 0.0076753 2552.98 <2e-16 ***
ORIGIN_SZSRSZ01 16.9761403 0.0162020 1047.78 <2e-16 ***
ORIGIN_SZTHSZ01 17.9695687 0.0488559 367.81 <2e-16 ***
ORIGIN_SZTHSZ03 18.5427522 0.0223617 829.22 <2e-16 ***
ORIGIN_SZTHSZ04 17.4760374 0.0286247 610.52 <2e-16 ***
ORIGIN_SZTHSZ06 17.8401186 0.0183322 973.16 <2e-16 ***
ORIGIN_SZTMSZ01 20.3406361 0.0056607 3593.33 <2e-16 ***
ORIGIN_SZTMSZ02 22.0307026 0.0037386 5892.85 <2e-16 ***
ORIGIN_SZTMSZ03 21.3451920 0.0040606 5256.65 <2e-16 ***
ORIGIN_SZTMSZ04 20.6611593 0.0049896 4140.87 <2e-16 ***
ORIGIN_SZTMSZ05 19.3323133 0.0112868 1712.82 <2e-16 ***
ORIGIN_SZTNSZ01 17.9513571 0.0128266 1399.54 <2e-16 ***
ORIGIN_SZTNSZ02 18.0267387 0.0098372 1832.51 <2e-16 ***
ORIGIN_SZTNSZ03 17.7253700 0.0134668 1316.23 <2e-16 ***
ORIGIN_SZTNSZ04 19.4474075 0.0073760 2636.59 <2e-16 ***
ORIGIN_SZTPSZ01 19.1078631 0.0065635 2911.25 <2e-16 ***
ORIGIN_SZTPSZ02 20.2837634 0.0041411 4898.18 <2e-16 ***
ORIGIN_SZTPSZ03 19.1838238 0.0059552 3221.37 <2e-16 ***
ORIGIN_SZTPSZ04 19.1805388 0.0054778 3501.53 <2e-16 ***
ORIGIN_SZTPSZ05 19.3718076 0.0058610 3305.18 <2e-16 ***
ORIGIN_SZTPSZ06 19.6605723 0.0054968 3576.70 <2e-16 ***
ORIGIN_SZTPSZ07 19.4499807 0.0060491 3215.36 <2e-16 ***
ORIGIN_SZTPSZ08 18.7996538 0.0095757 1963.28 <2e-16 ***
ORIGIN_SZTPSZ09 19.0025110 0.0067068 2833.31 <2e-16 ***
ORIGIN_SZTPSZ10 18.8899657 0.0076094 2482.46 <2e-16 ***
ORIGIN_SZTPSZ11 19.6277780 0.0053983 3635.93 <2e-16 ***
ORIGIN_SZTPSZ12 19.1471104 0.0065742 2912.45 <2e-16 ***
ORIGIN_SZTSSZ01 17.4901113 0.0478954 365.17 <2e-16 ***
ORIGIN_SZTSSZ02 20.4997466 0.0081850 2504.55 <2e-16 ***
ORIGIN_SZTSSZ03 20.1076553 0.0084728 2373.19 <2e-16 ***
ORIGIN_SZTSSZ04 20.0646610 0.0089008 2254.26 <2e-16 ***
ORIGIN_SZTSSZ05 19.3962067 0.0151392 1281.19 <2e-16 ***
ORIGIN_SZTSSZ06 20.9235857 0.0178278 1173.65 <2e-16 ***
ORIGIN_SZWCSZ01 20.8411600 0.0086519 2408.86 <2e-16 ***
ORIGIN_SZWCSZ02 17.7355404 0.0328889 539.26 <2e-16 ***
ORIGIN_SZWCSZ03 14.9380886 0.1240699 120.40 <2e-16 ***
ORIGIN_SZWDSZ01 21.1969012 0.0037830 5603.23 <2e-16 ***
ORIGIN_SZWDSZ02 20.5930001 0.0044572 4620.13 <2e-16 ***
ORIGIN_SZWDSZ03 21.2521867 0.0041672 5099.85 <2e-16 ***
ORIGIN_SZWDSZ04 21.0702687 0.0048648 4331.13 <2e-16 ***
ORIGIN_SZWDSZ05 20.4008998 0.0051801 3938.35 <2e-16 ***
ORIGIN_SZWDSZ06 20.6669176 0.0049280 4193.78 <2e-16 ***
ORIGIN_SZWDSZ07 19.0500370 0.0082729 2302.71 <2e-16 ***
ORIGIN_SZWDSZ08 19.0816252 0.0080667 2365.49 <2e-16 ***
ORIGIN_SZWDSZ09 21.4182096 0.0040391 5302.73 <2e-16 ***
ORIGIN_SZYSSZ01 19.5355157 0.0057540 3395.14 <2e-16 ***
ORIGIN_SZYSSZ02 20.8737972 0.0048278 4323.64 <2e-16 ***
ORIGIN_SZYSSZ03 21.6614437 0.0040011 5413.81 <2e-16 ***
ORIGIN_SZYSSZ04 20.9305289 0.0043595 4801.10 <2e-16 ***
ORIGIN_SZYSSZ05 20.1727678 0.0058466 3450.34 <2e-16 ***
ORIGIN_SZYSSZ06 19.1481507 0.0116724 1640.47 <2e-16 ***
ORIGIN_SZYSSZ07 18.7919074 0.0141636 1326.78 <2e-16 ***
ORIGIN_SZYSSZ08 19.9733515 0.0061229 3262.07 <2e-16 ***
ORIGIN_SZYSSZ09 20.9366181 0.0040347 5189.15 <2e-16 ***
log(SCHOOL_COUNT) 0.4755516 0.0004701 1011.55 <2e-16 ***
log(RETAIL_COUNT) 0.1796905 0.0001856 968.12 <2e-16 ***
log(DIST) -1.6929522 0.0004093 -4136.01 <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: 189463537 on 14471 degrees of freedom
Residual deviance: 15526121 on 14189 degrees of freedom
AIC: 15615824
Number of Fisher Scoring iterations: 6
Note
log(SCHOOL_COUNT) 0.4755516 0.0004701 1011.55 <2e-16 ***
log(RETAIL_COUNT) 0.1796905 0.0001856 968.12 <2e-16 ***
log(DIST) -1.6929522 0.0004093 -4136.01 <2e-16 ***
- Check log(DIST) – must be always negative, inverse relationship.
Attractiveness log(SCHOOL_COUNT) - positive, people will want to stay near school. Also possible it is negative (example for crime rate)
P-Value - should be smaller than 0.05, accept as part of the conceptual model. If larger, this attractiveness is not statistically significant.
Goodness-of-fit (R Squared)
<- function(observed, estimated) {
CalcRsquared <- cor(observed, estimated)
r <- r^2
R2
R2 }
we can examine how the constraints hold for the destination this time.
CalcRsquared(orcSIM_Poisson$data$TRIPS, orcSIM_Poisson$fitted.values)
[1] 0.4362208
performance_rmse(orcSIM_Poisson,
normalized = FALSE)
[1] 2613.236
Doubly constrained
In this section, we will fit a doubly constrained SIM by using the code chunk below.
The general formula of Doubly Constrained Spatial Interaction Model
<- glm(formula = TRIPS ~
dbcSIM_Poisson +
ORIGIN_SZ +
DESTIN_SZ log(DIST),
family = poisson(link = "log"),
data = inter_zonal_flow,
na.action = na.exclude)
dbcSIM_Poisson
Call: glm(formula = TRIPS ~ ORIGIN_SZ + DESTIN_SZ + log(DIST), family = poisson(link = "log"),
data = inter_zonal_flow, na.action = na.exclude)
Coefficients:
(Intercept) ORIGIN_SZAMSZ02 ORIGIN_SZAMSZ03 ORIGIN_SZAMSZ04
21.8312374 0.5263502 0.3139982 -0.2146257
ORIGIN_SZAMSZ05 ORIGIN_SZAMSZ06 ORIGIN_SZAMSZ07 ORIGIN_SZAMSZ08
-0.1890446 0.1539201 -0.9826565 -0.4488417
ORIGIN_SZAMSZ09 ORIGIN_SZAMSZ10 ORIGIN_SZAMSZ11 ORIGIN_SZAMSZ12
0.0713474 0.4313742 -1.4712226 -1.7250733
ORIGIN_SZBDSZ01 ORIGIN_SZBDSZ02 ORIGIN_SZBDSZ03 ORIGIN_SZBDSZ04
0.8810576 0.1100240 0.3606166 1.4624347
ORIGIN_SZBDSZ05 ORIGIN_SZBDSZ06 ORIGIN_SZBDSZ07 ORIGIN_SZBDSZ08
0.6207557 0.6712973 -1.2338669 -1.0444562
ORIGIN_SZBKSZ01 ORIGIN_SZBKSZ02 ORIGIN_SZBKSZ03 ORIGIN_SZBKSZ04
-0.2838426 0.5550522 0.7396640 -0.2242451
ORIGIN_SZBKSZ05 ORIGIN_SZBKSZ06 ORIGIN_SZBKSZ07 ORIGIN_SZBKSZ08
-0.2371614 -0.1413812 0.7089989 -0.0907065
ORIGIN_SZBKSZ09 ORIGIN_SZBLSZ01 ORIGIN_SZBLSZ02 ORIGIN_SZBLSZ03
-0.1775146 -2.3684539 -2.8078475 -3.3122763
ORIGIN_SZBLSZ04 ORIGIN_SZBMSZ01 ORIGIN_SZBMSZ02 ORIGIN_SZBMSZ03
-2.6770542 0.0618035 -1.3535767 -0.7569095
ORIGIN_SZBMSZ04 ORIGIN_SZBMSZ05 ORIGIN_SZBMSZ06 ORIGIN_SZBMSZ07
-0.2949304 -2.6131992 -3.0315024 -0.6962524
ORIGIN_SZBMSZ08 ORIGIN_SZBMSZ09 ORIGIN_SZBMSZ10 ORIGIN_SZBMSZ11
-0.9310730 -1.2911253 -1.6687004 -1.1152794
ORIGIN_SZBMSZ12 ORIGIN_SZBMSZ13 ORIGIN_SZBMSZ14 ORIGIN_SZBMSZ15
-1.5323954 -0.6267376 -1.0475467 -0.5049444
ORIGIN_SZBMSZ16 ORIGIN_SZBMSZ17 ORIGIN_SZBPSZ01 ORIGIN_SZBPSZ02
-1.5282897 -1.5722349 0.5814175 0.0875442
ORIGIN_SZBPSZ03 ORIGIN_SZBPSZ04 ORIGIN_SZBPSZ05 ORIGIN_SZBPSZ06
0.3358227 0.6507586 0.9502124 -1.0480314
ORIGIN_SZBPSZ07 ORIGIN_SZBSSZ01 ORIGIN_SZBSSZ02 ORIGIN_SZBSSZ03
-0.5467931 0.2998334 0.2841036 -0.2331505
ORIGIN_SZBTSZ01 ORIGIN_SZBTSZ02 ORIGIN_SZBTSZ03 ORIGIN_SZBTSZ04
0.0987284 -0.6261229 -0.4326963 -1.4998668
ORIGIN_SZBTSZ05 ORIGIN_SZBTSZ06 ORIGIN_SZBTSZ07 ORIGIN_SZBTSZ08
-0.9564768 -1.2853131 -2.3870991 -1.3715855
ORIGIN_SZCBSZ01 ORIGIN_SZCCSZ01 ORIGIN_SZCHSZ01 ORIGIN_SZCHSZ02
-3.5940232 -0.7008220 -0.9109524 -0.8566547
ORIGIN_SZCHSZ03 ORIGIN_SZCKSZ01 ORIGIN_SZCKSZ02 ORIGIN_SZCKSZ03
1.1153731 0.3001815 0.7185711 1.1389824
ORIGIN_SZCKSZ04 ORIGIN_SZCKSZ05 ORIGIN_SZCKSZ06 ORIGIN_SZCLSZ01
1.6281772 0.8338470 0.6528993 -0.7174758
ORIGIN_SZCLSZ02 ORIGIN_SZCLSZ03 ORIGIN_SZCLSZ04 ORIGIN_SZCLSZ05
-1.7513100 -1.0362873 0.6160017 -2.1005122
ORIGIN_SZCLSZ06 ORIGIN_SZCLSZ07 ORIGIN_SZCLSZ08 ORIGIN_SZCLSZ09
0.7252108 -0.5343482 -0.2153408 -1.8019961
ORIGIN_SZDTSZ02 ORIGIN_SZDTSZ03 ORIGIN_SZDTSZ13 ORIGIN_SZGLSZ01
-3.9057711 -3.4152419 -3.0183438 -1.7812384
ORIGIN_SZGLSZ02 ORIGIN_SZGLSZ03 ORIGIN_SZGLSZ04 ORIGIN_SZGLSZ05
-0.1074991 -0.2461106 0.8657186 0.5871393
ORIGIN_SZHGSZ01 ORIGIN_SZHGSZ02 ORIGIN_SZHGSZ03 ORIGIN_SZHGSZ04
0.3543819 0.4218178 0.2411309 0.8180622
ORIGIN_SZHGSZ05 ORIGIN_SZHGSZ06 ORIGIN_SZHGSZ07 ORIGIN_SZHGSZ08
1.2173687 -0.1826300 0.3172839 -0.1151369
ORIGIN_SZHGSZ09 ORIGIN_SZHGSZ10 ORIGIN_SZJESZ01 ORIGIN_SZJESZ02
-1.2873441 -3.3783178 0.4859234 0.1766088
ORIGIN_SZJESZ03 ORIGIN_SZJESZ04 ORIGIN_SZJESZ05 ORIGIN_SZJESZ06
-0.2177441 -1.5532182 -2.3332926 0.3007382
ORIGIN_SZJESZ07 ORIGIN_SZJESZ08 ORIGIN_SZJESZ09 ORIGIN_SZJESZ10
-1.9687994 -1.3032070 0.5762635 -1.4423113
ORIGIN_SZJESZ11 ORIGIN_SZJWSZ01 ORIGIN_SZJWSZ02 ORIGIN_SZJWSZ03
-1.9720897 0.3808627 0.7963999 1.5429636
ORIGIN_SZJWSZ04 ORIGIN_SZJWSZ05 ORIGIN_SZJWSZ06 ORIGIN_SZJWSZ07
0.6410760 -2.1571049 -1.5174532 -2.7089963
ORIGIN_SZJWSZ08 ORIGIN_SZJWSZ09 ORIGIN_SZKLSZ01 ORIGIN_SZKLSZ02
1.5343415 1.8837410 0.1081286 -0.8844695
ORIGIN_SZKLSZ03 ORIGIN_SZKLSZ04 ORIGIN_SZKLSZ05 ORIGIN_SZKLSZ06
-0.6872640 -2.2090319 -1.1728726 -6.1162315
ORIGIN_SZKLSZ07 ORIGIN_SZKLSZ08 ORIGIN_SZLKSZ01 ORIGIN_SZMDSZ01
-1.4082749 -1.7781551 -2.0531568 -0.8825639
ORIGIN_SZMDSZ02 ORIGIN_SZMDSZ03 ORIGIN_SZMPSZ01 ORIGIN_SZMPSZ02
-0.6219993 -2.0840156 -0.9659093 -1.0411153
ORIGIN_SZMPSZ03 ORIGIN_SZMUSZ02 ORIGIN_SZNTSZ01 ORIGIN_SZNTSZ02
0.0001659 -3.7599031 -3.0388366 -3.4230640
ORIGIN_SZNTSZ03 ORIGIN_SZNTSZ05 ORIGIN_SZNTSZ06 ORIGIN_SZNVSZ01
-0.9094796 -4.0861681 -3.9497128 0.3235636
ORIGIN_SZNVSZ02 ORIGIN_SZNVSZ03 ORIGIN_SZNVSZ04 ORIGIN_SZNVSZ05
-0.6946748 -1.0540196 -0.9897977 -2.2578432
ORIGIN_SZPGSZ01 ORIGIN_SZPGSZ02 ORIGIN_SZPGSZ03 ORIGIN_SZPGSZ04
0.2399827 -0.3352342 0.9515148 1.3998952
ORIGIN_SZPGSZ05 ORIGIN_SZPLSZ01 ORIGIN_SZPLSZ02 ORIGIN_SZPLSZ03
0.4451629 -0.9705918 -1.0670151 -2.1229124
ORIGIN_SZPLSZ04 ORIGIN_SZPLSZ05 ORIGIN_SZPNSZ01 ORIGIN_SZPNSZ02
-3.0911932 -2.1705708 0.9052637 -0.1720425
ORIGIN_SZPNSZ03 ORIGIN_SZPNSZ04 ORIGIN_SZPNSZ05 ORIGIN_SZPRSZ01
-2.3973459 -3.4483689 -2.0588530 -0.6399015
ORIGIN_SZPRSZ02 ORIGIN_SZPRSZ03 ORIGIN_SZPRSZ04 ORIGIN_SZPRSZ05
0.8122270 0.3990960 -0.8485348 0.8008791
ORIGIN_SZPRSZ06 ORIGIN_SZPRSZ07 ORIGIN_SZPRSZ08 ORIGIN_SZQTSZ01
-1.4498806 -3.2025045 -0.5862269 -0.1859270
ORIGIN_SZQTSZ02 ORIGIN_SZQTSZ03 ORIGIN_SZQTSZ04 ORIGIN_SZQTSZ05
-0.8715122 -0.1259816 -1.4620032 -0.6675643
ORIGIN_SZQTSZ06 ORIGIN_SZQTSZ07 ORIGIN_SZQTSZ08 ORIGIN_SZQTSZ09
-0.8190026 -1.5189403 -0.4976238 -0.9006162
ORIGIN_SZQTSZ10 ORIGIN_SZQTSZ11 ORIGIN_SZQTSZ12 ORIGIN_SZQTSZ13
-0.6690184 -2.5203437 -3.0461675 -0.7501068
ORIGIN_SZQTSZ14 ORIGIN_SZQTSZ15 ORIGIN_SZRCSZ01 ORIGIN_SZRCSZ06
-1.9321849 -0.9576828 -1.8167951 -0.5560563
ORIGIN_SZRVSZ01 ORIGIN_SZRVSZ02 ORIGIN_SZRVSZ03 ORIGIN_SZRVSZ04
-2.8862570 -3.1555662 -2.9836089 -3.5520422
ORIGIN_SZRVSZ05 ORIGIN_SZSBSZ01 ORIGIN_SZSBSZ02 ORIGIN_SZSBSZ03
-2.5866584 0.2867444 -0.9012334 0.8311038
ORIGIN_SZSBSZ04 ORIGIN_SZSBSZ05 ORIGIN_SZSBSZ06 ORIGIN_SZSBSZ07
0.4044170 -0.2661845 -0.9023075 0.0505870
ORIGIN_SZSBSZ08 ORIGIN_SZSBSZ09 ORIGIN_SZSESZ02 ORIGIN_SZSESZ03
-1.1158011 -0.9682835 1.1452735 1.2815277
ORIGIN_SZSESZ04 ORIGIN_SZSESZ05 ORIGIN_SZSESZ06 ORIGIN_SZSESZ07
0.8085857 -0.2329413 1.0576879 -2.3165908
ORIGIN_SZSGSZ01 ORIGIN_SZSGSZ02 ORIGIN_SZSGSZ03 ORIGIN_SZSGSZ04
-0.6606350 -1.3638984 0.1152591 0.2954067
ORIGIN_SZSGSZ05 ORIGIN_SZSGSZ06 ORIGIN_SZSGSZ07 ORIGIN_SZSKSZ01
-2.0792678 0.4563227 -0.8955254 -0.3184402
ORIGIN_SZSKSZ02 ORIGIN_SZSKSZ03 ORIGIN_SZSKSZ04 ORIGIN_SZSKSZ05
1.1160484 -0.2566692 -1.5781827 -0.2724361
ORIGIN_SZSLSZ01 ORIGIN_SZSLSZ04 ORIGIN_SZSRSZ01 ORIGIN_SZTHSZ01
-2.4458625 -0.0987076 -2.2584977 -2.5878524
ORIGIN_SZTHSZ03 ORIGIN_SZTHSZ04 ORIGIN_SZTHSZ06 ORIGIN_SZTMSZ01
-0.8101746 -2.4186655 -1.7080541 -0.2193476
ORIGIN_SZTMSZ02 ORIGIN_SZTMSZ03 ORIGIN_SZTMSZ04 ORIGIN_SZTMSZ05
1.7772464 1.0051343 0.1642370 -1.2878706
ORIGIN_SZTNSZ01 ORIGIN_SZTNSZ02 ORIGIN_SZTNSZ03 ORIGIN_SZTNSZ04
-1.7163504 -1.6508988 -2.1545577 -0.3949120
ORIGIN_SZTPSZ01 ORIGIN_SZTPSZ02 ORIGIN_SZTPSZ03 ORIGIN_SZTPSZ04
-0.8058100 0.5369060 -0.7779333 -0.8153581
ORIGIN_SZTPSZ05 ORIGIN_SZTPSZ06 ORIGIN_SZTPSZ07 ORIGIN_SZTPSZ08
-0.5073676 0.0847301 -0.5839519 -1.0577941
ORIGIN_SZTPSZ09 ORIGIN_SZTPSZ10 ORIGIN_SZTPSZ11 ORIGIN_SZTPSZ12
-0.9067707 -1.1362091 -0.2374621 -0.8028874
ORIGIN_SZTSSZ01 ORIGIN_SZTSSZ02 ORIGIN_SZTSSZ03 ORIGIN_SZTSSZ04
-2.7809271 0.0425804 0.1142369 -0.6186261
ORIGIN_SZTSSZ05 ORIGIN_SZTSSZ06 ORIGIN_SZWCSZ01 ORIGIN_SZWCSZ02
-1.0846732 0.3980173 1.3545143 -2.9863278
ORIGIN_SZWCSZ03 ORIGIN_SZWDSZ01 ORIGIN_SZWDSZ02 ORIGIN_SZWDSZ03
-5.0504916 1.5238429 0.2832576 1.3702524
ORIGIN_SZWDSZ04 ORIGIN_SZWDSZ05 ORIGIN_SZWDSZ06 ORIGIN_SZWDSZ07
1.0248225 0.2356778 0.3146925 -1.4971897
ORIGIN_SZWDSZ08 ORIGIN_SZWDSZ09 ORIGIN_SZYSSZ01 ORIGIN_SZYSSZ02
-0.8894079 1.4437633 -0.2519398 0.8726785
ORIGIN_SZYSSZ03 ORIGIN_SZYSSZ04 ORIGIN_SZYSSZ05 ORIGIN_SZYSSZ06
1.7868139 0.8418040 0.4292096 -0.7459961
ORIGIN_SZYSSZ07 ORIGIN_SZYSSZ08 ORIGIN_SZYSSZ09 DESTIN_SZAMSZ02
-0.8422281 0.1829428 1.1159712 0.0694567
DESTIN_SZAMSZ03 DESTIN_SZAMSZ04 DESTIN_SZAMSZ05 DESTIN_SZAMSZ06
0.0760100 -1.1306391 -1.0751133 -0.9624298
DESTIN_SZAMSZ07 DESTIN_SZAMSZ08 DESTIN_SZAMSZ09 DESTIN_SZAMSZ10
-1.5060319 -0.4813202 -1.0220675 0.1235142
DESTIN_SZAMSZ11 DESTIN_SZAMSZ12 DESTIN_SZBDSZ01 DESTIN_SZBDSZ02
-0.8917993 0.0195208 0.9736349 -0.1969470
DESTIN_SZBDSZ03 DESTIN_SZBDSZ04 DESTIN_SZBDSZ05 DESTIN_SZBDSZ06
0.1266471 1.1608485 0.9293840 0.4090567
DESTIN_SZBDSZ07 DESTIN_SZBDSZ08 DESTIN_SZBKSZ01 DESTIN_SZBKSZ02
-0.8171478 -1.5895287 -1.3793311 -0.5253670
DESTIN_SZBKSZ03 DESTIN_SZBKSZ04 DESTIN_SZBKSZ05 DESTIN_SZBKSZ06
-1.0095362 -0.5662858 -0.9406607 -1.3129276
DESTIN_SZBKSZ07 DESTIN_SZBKSZ08 DESTIN_SZBKSZ09 DESTIN_SZBLSZ01
0.0120605 -1.3658471 -0.1771310 -0.8175223
DESTIN_SZBLSZ02 DESTIN_SZBLSZ03 DESTIN_SZBLSZ04 DESTIN_SZBMSZ01
0.1631280 1.2598494 -0.5642975 0.6921844
DESTIN_SZBMSZ02 DESTIN_SZBMSZ03 DESTIN_SZBMSZ04 DESTIN_SZBMSZ05
-0.1209392 -0.2373881 -0.0407117 -0.2363309
DESTIN_SZBMSZ06 DESTIN_SZBMSZ07 DESTIN_SZBMSZ08 DESTIN_SZBMSZ09
-1.1930710 0.4625103 -0.8604731 -2.1290239
DESTIN_SZBMSZ10 DESTIN_SZBMSZ11 DESTIN_SZBMSZ12 DESTIN_SZBMSZ13
-1.4617153 -1.3234050 -0.8399230 0.1366529
DESTIN_SZBMSZ14 DESTIN_SZBMSZ15 DESTIN_SZBMSZ16 DESTIN_SZBMSZ17
-1.0491968 -0.6726684 -1.4011734 -1.5682752
DESTIN_SZBPSZ01 DESTIN_SZBPSZ02 DESTIN_SZBPSZ03 DESTIN_SZBPSZ04
-1.1120017 -2.0833466 -1.6937265 -0.7964999
DESTIN_SZBPSZ05 DESTIN_SZBPSZ06 DESTIN_SZBPSZ07 DESTIN_SZBSSZ01
0.2109118 -1.1808365 -0.2077428 0.3164175
DESTIN_SZBSSZ02 DESTIN_SZBSSZ03 DESTIN_SZBTSZ01 DESTIN_SZBTSZ02
-0.4852688 0.4130432 0.6215095 -0.0145076
DESTIN_SZBTSZ03 DESTIN_SZBTSZ04 DESTIN_SZBTSZ05 DESTIN_SZBTSZ06
0.4919981 -0.6957555 0.3329814 -0.1333295
DESTIN_SZBTSZ07 DESTIN_SZBTSZ08 DESTIN_SZCBSZ01 DESTIN_SZCCSZ01
-1.4449581 -0.7079056 -5.7344725 -0.0009541
DESTIN_SZCHSZ01 DESTIN_SZCHSZ02 DESTIN_SZCHSZ03 DESTIN_SZCKSZ01
-0.2083016 0.5369606 2.5530638 -0.5725975
DESTIN_SZCKSZ02 DESTIN_SZCKSZ03 DESTIN_SZCKSZ04 DESTIN_SZCKSZ05
-1.1181852 0.1156680 -0.8647725 -1.1641791
DESTIN_SZCKSZ06 DESTIN_SZCLSZ01 DESTIN_SZCLSZ02 DESTIN_SZCLSZ03
-0.4397612 0.1930552 -2.0436501 -0.9338571
DESTIN_SZCLSZ04 DESTIN_SZCLSZ05 DESTIN_SZCLSZ06 DESTIN_SZCLSZ07
0.0532041 -1.0782781 0.4068171 -0.3579507
DESTIN_SZCLSZ08 DESTIN_SZCLSZ09 DESTIN_SZDTSZ02 DESTIN_SZDTSZ03
-0.2487993 0.1611080 -1.7308348 -0.5994253
DESTIN_SZDTSZ13 DESTIN_SZGLSZ01 DESTIN_SZGLSZ02 DESTIN_SZGLSZ03
-1.3685031 -0.0910001 -0.0692224 0.6493421
DESTIN_SZGLSZ04 DESTIN_SZGLSZ05 DESTIN_SZHGSZ01 DESTIN_SZHGSZ02
0.9327947 0.8161728 0.0658625 -0.8134329
DESTIN_SZHGSZ03 DESTIN_SZHGSZ04 DESTIN_SZHGSZ05 DESTIN_SZHGSZ06
-1.3546132 -0.4500588 -0.5026431 -0.8673686
DESTIN_SZHGSZ07 DESTIN_SZHGSZ08 DESTIN_SZHGSZ09 DESTIN_SZHGSZ10
0.0560490 -0.0443189 -0.0126355 -3.5821793
DESTIN_SZJESZ01 DESTIN_SZJESZ02 DESTIN_SZJESZ03 DESTIN_SZJESZ04
-0.3704281 -0.7369159 -0.8985484 -1.0511995
DESTIN_SZJESZ05 DESTIN_SZJESZ06 DESTIN_SZJESZ07 DESTIN_SZJESZ08
-1.5324974 0.3105267 -1.3234483 -0.6559742
DESTIN_SZJESZ09 DESTIN_SZJESZ10 DESTIN_SZJESZ11 DESTIN_SZJWSZ01
0.2663752 0.8529026 0.5559641 -0.9790971
DESTIN_SZJWSZ02 DESTIN_SZJWSZ03 DESTIN_SZJWSZ04 DESTIN_SZJWSZ05
-0.8746590 0.5689062 0.4520963 -1.0249671
DESTIN_SZJWSZ06 DESTIN_SZJWSZ07 DESTIN_SZJWSZ08 DESTIN_SZJWSZ09
-0.7451483 -2.8453099 -0.3372309 1.0505330
DESTIN_SZKLSZ01 DESTIN_SZKLSZ02 DESTIN_SZKLSZ03 DESTIN_SZKLSZ04
-0.2334836 -0.5416148 -0.8026495 -1.2918594
DESTIN_SZKLSZ05 DESTIN_SZKLSZ06 DESTIN_SZKLSZ07 DESTIN_SZKLSZ08
-0.4069101 -2.5333101 -0.6623343 -0.1408205
DESTIN_SZLKSZ01 DESTIN_SZMDSZ01 DESTIN_SZMDSZ02 DESTIN_SZMDSZ03
-1.2639235 -1.5655800 -0.9767682 -3.3328109
DESTIN_SZMPSZ01 DESTIN_SZMPSZ02 DESTIN_SZMPSZ03 DESTIN_SZMUSZ02
-0.4552859 -0.5386560 0.4952000 -1.4434175
DESTIN_SZNTSZ01 DESTIN_SZNTSZ02 DESTIN_SZNTSZ03 DESTIN_SZNTSZ05
-2.9194067 -1.3780179 -0.5044699 -2.0017134
DESTIN_SZNTSZ06 DESTIN_SZNVSZ01 DESTIN_SZNVSZ02 DESTIN_SZNVSZ03
-3.8120537 -0.1071506 -0.0274710 0.1076352
DESTIN_SZNVSZ04 DESTIN_SZNVSZ05 DESTIN_SZPGSZ01 DESTIN_SZPGSZ02
-1.2087250 -1.0058290 -1.2029931 -1.2878671
DESTIN_SZPGSZ03 DESTIN_SZPGSZ04 DESTIN_SZPGSZ05 DESTIN_SZPLSZ01
-0.1520894 -0.1985959 -1.5290983 -0.3567934
DESTIN_SZPLSZ02 DESTIN_SZPLSZ03 DESTIN_SZPLSZ04 DESTIN_SZPLSZ05
-1.7114351 -0.3241427 -1.7117196 -0.5086379
DESTIN_SZPNSZ01 DESTIN_SZPNSZ02 DESTIN_SZPNSZ03 DESTIN_SZPNSZ04
0.2026781 0.8313754 -0.4041254 1.5814539
DESTIN_SZPNSZ05 DESTIN_SZPRSZ01 DESTIN_SZPRSZ02 DESTIN_SZPRSZ03
1.1823430 -1.1057553 0.0895099 0.6921925
DESTIN_SZPRSZ04 DESTIN_SZPRSZ05 DESTIN_SZPRSZ06 DESTIN_SZPRSZ07
-0.2848336 0.1744480 0.4279206 -1.5123108
DESTIN_SZPRSZ08 DESTIN_SZQTSZ01 DESTIN_SZQTSZ02 DESTIN_SZQTSZ03
-0.5650226 -0.5952360 -0.7728170 -0.5066812
DESTIN_SZQTSZ04 DESTIN_SZQTSZ05 DESTIN_SZQTSZ06 DESTIN_SZQTSZ07
-0.6398414 -0.4354527 -0.6597391 -0.9392696
DESTIN_SZQTSZ08 DESTIN_SZQTSZ09 DESTIN_SZQTSZ10 DESTIN_SZQTSZ11
0.4617774 -0.3174497 0.1993449 0.2551535
DESTIN_SZQTSZ12 DESTIN_SZQTSZ13 DESTIN_SZQTSZ14 DESTIN_SZQTSZ15
-0.1662603 0.5500978 0.5364435 1.3611043
DESTIN_SZRCSZ01 DESTIN_SZRCSZ06 DESTIN_SZRVSZ01 DESTIN_SZRVSZ02
-0.1034049 -1.0633902 -1.5486221 -2.4092611
DESTIN_SZRVSZ03 DESTIN_SZRVSZ04 DESTIN_SZRVSZ05 DESTIN_SZSBSZ01
-1.5172079 -1.1663615 -2.2404292 -1.3783780
DESTIN_SZSBSZ02 DESTIN_SZSBSZ03 DESTIN_SZSBSZ04 DESTIN_SZSBSZ05
-1.4445213 0.5149906 0.2389086 -1.2737442
DESTIN_SZSBSZ06 DESTIN_SZSBSZ07 DESTIN_SZSBSZ08 DESTIN_SZSBSZ09
-1.8683520 -0.5993154 0.8156302 0.0900611
DESTIN_SZSESZ02 DESTIN_SZSESZ03 DESTIN_SZSESZ04 DESTIN_SZSESZ05
-0.6397704 0.1714103 -1.0596175 -0.8071891
DESTIN_SZSESZ06 DESTIN_SZSESZ07 DESTIN_SZSGSZ01 DESTIN_SZSGSZ02
-0.5580934 -3.1448863 -0.1795225 -0.2986570
DESTIN_SZSGSZ03 DESTIN_SZSGSZ04 DESTIN_SZSGSZ05 DESTIN_SZSGSZ06
-0.4074671 -0.1505164 -1.9908372 0.6715268
DESTIN_SZSGSZ07 DESTIN_SZSISZ01 DESTIN_SZSKSZ01 DESTIN_SZSKSZ02
-0.4494757 -0.5517983 -0.4749154 0.9400302
DESTIN_SZSKSZ03 DESTIN_SZSKSZ04 DESTIN_SZSKSZ05 DESTIN_SZSLSZ01
-0.2800377 -1.2570212 -0.2600474 -0.7775604
DESTIN_SZSLSZ04 DESTIN_SZSRSZ01 DESTIN_SZTHSZ01 DESTIN_SZTHSZ03
-0.8586515 -1.1370887 -4.3259988 -2.6632914
DESTIN_SZTHSZ04 DESTIN_SZTHSZ06 DESTIN_SZTMSZ01 DESTIN_SZTMSZ02
-3.1000906 -2.5952642 -0.2092828 1.8238139
DESTIN_SZTMSZ03 DESTIN_SZTMSZ04 DESTIN_SZTMSZ05 DESTIN_SZTNSZ01
0.8518259 1.0222812 0.6323777 -0.3336078
DESTIN_SZTNSZ02 DESTIN_SZTNSZ03 DESTIN_SZTNSZ04 DESTIN_SZTPSZ01
-1.0820469 -1.4186505 -0.3058199 -0.4872299
DESTIN_SZTPSZ02 DESTIN_SZTPSZ03 DESTIN_SZTPSZ04 DESTIN_SZTPSZ05
0.7158441 -0.4314229 -1.5898245 -1.0445550
DESTIN_SZTPSZ06 DESTIN_SZTPSZ07 DESTIN_SZTPSZ08 DESTIN_SZTPSZ09
-0.4319582 -2.1602303 -1.1920493 -0.2022481
DESTIN_SZTPSZ10 DESTIN_SZTPSZ11 DESTIN_SZTPSZ12 DESTIN_SZTSSZ01
-1.2464793 -0.0808445 -0.6784376 -1.5845062
DESTIN_SZTSSZ02 DESTIN_SZTSSZ03 DESTIN_SZTSSZ04 DESTIN_SZTSSZ05
-0.1886010 0.6525526 0.5285464 1.4670106
DESTIN_SZTSSZ06 DESTIN_SZWCSZ01 DESTIN_SZWCSZ02 DESTIN_SZWCSZ03
2.5043588 1.9787931 -2.2593108 -3.1897655
DESTIN_SZWDSZ01 DESTIN_SZWDSZ02 DESTIN_SZWDSZ03 DESTIN_SZWDSZ04
1.0476108 -1.3176990 0.3432057 -0.7895927
DESTIN_SZWDSZ05 DESTIN_SZWDSZ06 DESTIN_SZWDSZ07 DESTIN_SZWDSZ08
-0.8751665 -0.2106221 -1.6050834 -0.5124717
DESTIN_SZWDSZ09 DESTIN_SZYSSZ01 DESTIN_SZYSSZ02 DESTIN_SZYSSZ03
0.3813542 0.0853753 -0.3227172 -0.4151283
DESTIN_SZYSSZ04 DESTIN_SZYSSZ05 DESTIN_SZYSSZ06 DESTIN_SZYSSZ07
-0.4637327 -1.5888242 -1.4606209 -0.7839065
DESTIN_SZYSSZ08 DESTIN_SZYSSZ09 log(DIST)
0.6265412 0.1520067 -1.8468315
Degrees of Freedom: 14470 Total (i.e. Null); 13912 Residual
Null Deviance: 47090000
Residual Deviance: 10420000 AIC: 10510000
```