pacman::p_load(tmap, sf, sp, stplanr,
reshape2, broom, performance,
gtsummary, ggpubr, tidyverse)1 Getting Started
1.1 Installing and Loading Packages
Pacman assists us by helping us load R packages that we require.
1.2 Data Acquisition
The following datasets are used:
| Dataset Name | Source |
|---|---|
| URA Master Plan 2014 Subzone Boundary | data.gov.sg |
| 250m Hexagon GIS Data | Prof Kam |
| Eldercare | Prof Kam |
| OD Matrix | Prof Kam |
2 Preparing the Flow Data
2.1 Importing the OD Data
Firstly, we will import the Passenger Volume by Origin Destination Bus Stops data set downlaoded from LTA DataMall using read_csv().
odbus <- read_csv("In-Class_Ex11/data/aspatial/origin_destination_bus_202210.csv")Rows: 5122925 Columns: 7
── Column specification ────────────────────────────────────────────────────────
Delimiter: ","
chr (3): YEAR_MONTH, DAY_TYPE, PT_TYPE
dbl (4): TIME_PER_HOUR, ORIGIN_PT_CODE, DESTINATION_PT_CODE, TOTAL_TRIPS
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.A quick check of the ORIGIN_PT_CODE and DESTINATION_PT_CODE columns found that they are in numerical values instead of character. The issue is the data will be taken as nominal data instead of categorical data. The code chunk below will convert the data.
odbus$ORIGIN_PT_CODE <- as.factor(odbus$ORIGIN_PT_CODE)
odbus$DESTINATION_PT_CODE <- as.factor(odbus$DESTINATION_PT_CODE)As we are only interested in the peak hour (7 to 9am) weekday commuting flows, we will extract the commuting flow data between 7am and 9am on weekdays using the code chunk below.
odbus7_9 <- odbus %>% filter(DAY_TYPE == "WEEKDAY") %>%
filter(TIME_PER_HOUR >= 7 & TIME_PER_HOUR <= 9) %>%
group_by(ORIGIN_PT_CODE, DESTINATION_PT_CODE) %>%
summarise(TRIPS = sum(TOTAL_TRIPS))`summarise()` has grouped output by 'ORIGIN_PT_CODE'. You can override using
the `.groups` argument.2.2 Importing Geospatial Data
Now, we will import the bus stop and URA Master Plan Subzone Boundary.
busstop <- st_read(dsn = "In-Class_Ex11/data/geospatial",
layer = "BusStop") %>%
st_transform(crs = 3414)Reading layer `BusStop' from data source
`C:\renjie-teo\IS415-GAA\exercises\In-Class_Ex11\data\geospatial'
using driver `ESRI Shapefile'
Simple feature collection with 5159 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: SVY21mpsz <- st_read(dsn = "In-Class_Ex11/data/geospatial",
layer = "MPSZ-2019") %>%
st_transform(crs = 3414)Reading layer `MPSZ-2019' from data source
`C:\renjie-teo\IS415-GAA\exercises\In-Class_Ex11\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 84mpszSimple feature collection with 332 features and 6 fields
Geometry type: MULTIPOLYGON
Dimension: XY
Bounding box: xmin: 2667.538 ymin: 15748.72 xmax: 56396.44 ymax: 50256.33
Projected CRS: SVY21 / Singapore TM
First 10 features:
SUBZONE_N SUBZONE_C PLN_AREA_N PLN_AREA_C REGION_N
1 MARINA EAST MESZ01 MARINA EAST ME CENTRAL REGION
2 INSTITUTION HILL RVSZ05 RIVER VALLEY RV CENTRAL REGION
3 ROBERTSON QUAY SRSZ01 SINGAPORE RIVER SR CENTRAL REGION
4 JURONG ISLAND AND BUKOM WISZ01 WESTERN ISLANDS WI WEST REGION
5 FORT CANNING MUSZ02 MUSEUM MU CENTRAL REGION
6 MARINA EAST (MP) MPSZ05 MARINE PARADE MP CENTRAL REGION
7 SUDONG WISZ03 WESTERN ISLANDS WI WEST REGION
8 SEMAKAU WISZ02 WESTERN ISLANDS WI WEST REGION
9 SOUTHERN GROUP SISZ02 SOUTHERN ISLANDS SI CENTRAL REGION
10 SENTOSA SISZ01 SOUTHERN ISLANDS SI CENTRAL REGION
REGION_C geometry
1 CR MULTIPOLYGON (((33222.98 29...
2 CR MULTIPOLYGON (((28481.45 30...
3 CR MULTIPOLYGON (((28087.34 30...
4 WR MULTIPOLYGON (((14557.7 304...
5 CR MULTIPOLYGON (((29542.53 31...
6 CR MULTIPOLYGON (((35279.55 30...
7 WR MULTIPOLYGON (((15772.59 21...
8 WR MULTIPOLYGON (((19843.41 21...
9 CR MULTIPOLYGON (((30870.53 22...
10 CR MULTIPOLYGON (((26879.04 26...Now, using the code chunk below, we will populat ethe subzone code of the mpsz sf data frame into busstop sf data frame.
Note
Note that if we want the geometry from busstop (ie. busstop point geometry), we need to put that first before the mpsz sf dataframe)
busstop_mpsz <- st_intersection(busstop,mpsz) %>%
select(BUS_STOP_N, SUBZONE_C) %>%
st_drop_geometry()Warning: attribute variables are assumed to be spatially constant throughout
all geometriesNext, we will merge the busstop_mpsz dataframe onto the odbus7_9 dataframe.
od_data <- left_join(odbus7_9, busstop_mpsz,
by = c("ORIGIN_PT_CODE" = "BUS_STOP_N")) %>%
rename(ORIGIN_BS = ORIGIN_PT_CODE,
ORIGIN_SZ = SUBZONE_C,
DESTIN_BS = DESTINATION_PT_CODE)Warning in left_join(odbus7_9, busstop_mpsz, by = c(ORIGIN_PT_CODE = "BUS_STOP_N")): Detected an unexpected many-to-many relationship between `x` and `y`.
ℹ Row 53226 of `x` matches multiple rows in `y`.
ℹ Row 161 of `y` matches multiple rows in `x`.
ℹ If a many-to-many relationship is expected, set `relationship =
"many-to-many"` to silence this warning.od_data <- left_join(od_data, busstop_mpsz,
by = c("DESTIN_BS" = "BUS_STOP_N"))Warning in left_join(od_data, busstop_mpsz, by = c(DESTIN_BS = "BUS_STOP_N")): Detected an unexpected many-to-many relationship between `x` and `y`.
ℹ Row 69 of `x` matches multiple rows in `y`.
ℹ Row 1379 of `y` matches multiple rows in `x`.
ℹ If a many-to-many relationship is expected, set `relationship =
"many-to-many"` to silence this warning.Before continuing, it is a good practice to check for duplicating records.
duplicate <- od_data %>%
group_by_all() %>%
filter(n() > 1) %>%
ungroup()If duplicated records are found, the code chunk below will be used to retain
od_data <- unique(od_data)duplicate <- od_data %>% group_by_all %>%
filter(n() > 1) %>%
ungroup()od_data <- od_data %>%
rename(DESTIN_SZ = SUBZONE_C) %>%
drop_na()It is time to save the output into an RDS file format
write_rds(od_data, "In-Class_Ex11/data/rds/od_data.rds")od_data <- read_rds("In-Class_Ex11/data/rds/od_data.rds")3 Visualising the Geospatial Plot
tmap_mode("plot")tmap mode set to plottingqtm(mpsz)
4 Viewing the Subzone Boundary
head(mpsz)Simple feature collection with 6 features and 6 fields
Geometry type: MULTIPOLYGON
Dimension: XY
Bounding box: xmin: 8012.578 ymin: 22108.68 xmax: 35287.9 ymax: 31092.38
Projected CRS: SVY21 / Singapore TM
SUBZONE_N SUBZONE_C PLN_AREA_N PLN_AREA_C REGION_N
1 MARINA EAST MESZ01 MARINA EAST ME CENTRAL REGION
2 INSTITUTION HILL RVSZ05 RIVER VALLEY RV CENTRAL REGION
3 ROBERTSON QUAY SRSZ01 SINGAPORE RIVER SR CENTRAL REGION
4 JURONG ISLAND AND BUKOM WISZ01 WESTERN ISLANDS WI WEST REGION
5 FORT CANNING MUSZ02 MUSEUM MU CENTRAL REGION
6 MARINA EAST (MP) MPSZ05 MARINE PARADE MP CENTRAL REGION
REGION_C geometry
1 CR MULTIPOLYGON (((33222.98 29...
2 CR MULTIPOLYGON (((28481.45 30...
3 CR MULTIPOLYGON (((28087.34 30...
4 WR MULTIPOLYGON (((14557.7 304...
5 CR MULTIPOLYGON (((29542.53 31...
6 CR MULTIPOLYGON (((35279.55 30...5 Isolation SBUZONE_C (subzone_code) into a new df
mpsz <- mpsz[order(mpsz$SUBZONE_C),]
head(mpsz, 10)Simple feature collection with 10 features and 6 fields
Geometry type: MULTIPOLYGON
Dimension: XY
Bounding box: xmin: 26154.57 ymin: 37511.2 xmax: 31072.47 ymax: 41804.65
Projected CRS: SVY21 / Singapore TM
SUBZONE_N SUBZONE_C PLN_AREA_N PLN_AREA_C REGION_N
171 ANG MO KIO TOWN CENTRE AMSZ01 ANG MO KIO AM NORTH-EAST REGION
170 CHENG SAN AMSZ02 ANG MO KIO AM NORTH-EAST REGION
163 CHONG BOON AMSZ03 ANG MO KIO AM NORTH-EAST REGION
330 TOWNSVILLE AMSZ04 ANG MO KIO AM NORTH-EAST REGION
329 SHANGRI-LA AMSZ05 ANG MO KIO AM NORTH-EAST REGION
172 KEBUN BAHRU AMSZ06 ANG MO KIO AM NORTH-EAST REGION
233 SEMBAWANG HILLS AMSZ07 ANG MO KIO AM NORTH-EAST REGION
254 TAGORE AMSZ08 ANG MO KIO AM NORTH-EAST REGION
242 YIO CHU KANG WEST AMSZ09 ANG MO KIO AM NORTH-EAST REGION
252 YIO CHU KANG AMSZ10 ANG MO KIO AM NORTH-EAST REGION
REGION_C geometry
171 NER MULTIPOLYGON (((29692.8 389...
170 NER MULTIPOLYGON (((30384.33 39...
163 NER MULTIPOLYGON (((30676.17 39...
330 NER MULTIPOLYGON (((29649.88 38...
329 NER MULTIPOLYGON (((28228.2 392...
172 NER MULTIPOLYGON (((28491.21 39...
233 NER MULTIPOLYGON (((27744.03 38...
254 NER MULTIPOLYGON (((27193.46 41...
242 NER MULTIPOLYGON (((29269.91 39...
252 NER MULTIPOLYGON (((29598.36 39...6 Computing the Distance Matrix
6.1 Converting sf to Spatial dataframe
mpsz_sp <- as(mpsz, "Spatial")6.2 Computing the Distance Matrix
dist <- spDists(mpsz_sp)
dist [,1] [,2] [,3] [,4] [,5] [,6]
[1,] 0.0000 810.4491 1360.9294 840.4432 1076.7916 805.2979
[2,] 810.4491 0.0000 950.2937 1026.5876 1824.4762 1614.1685
[3,] 1360.9294 950.2937 0.0000 808.0902 1964.0592 2054.9415
[4,] 840.4432 1026.5876 808.0902 0.0000 1158.4844 1333.1830
[5,] 1076.7916 1824.4762 1964.0592 1158.4844 0.0000 622.4937
[6,] 805.2979 1614.1685 2054.9415 1333.1830 622.4937 0.0000
[7,] 1798.7526 2605.6731 3000.9794 2225.8203 1129.7588 993.8743
[8,] 2576.0199 3262.5102 3930.9327 3262.9237 2364.0657 1936.2060
[9,] 1204.2846 1826.5339 2559.4558 1994.3832 1483.3776 865.5847
[10,] 1417.8035 1666.7932 2576.9859 2249.6458 2136.3212 1532.0596
[11,] 2314.4079 2456.2816 3398.8011 3139.4506 2996.7842 2378.2440
[12,] 1391.6814 1191.8466 2138.4562 2076.7268 2392.6144 1891.3827
[13,] 8104.3859 7414.0855 6786.6551 7554.1127 8692.8600 8840.8033
[14,] 9560.6853 8813.4100 8309.1216 9105.5011 10262.1396 10334.4321
[15,] 9314.2419 8656.6112 7972.9202 8714.1575 9830.4562 10024.8185
[16,] 10976.0317 10246.0946 9694.7222 10480.2387 11630.5963 11737.0937
[17,] 10403.7129 9774.3077 9050.4170 9767.4308 10860.3857 11090.9497
[18,] 12269.1099 11553.7031 10968.4772 11743.6464 12886.2491 13018.9751
[19,] 11548.0381 10929.0964 10191.6324 10897.9040 11978.9777 12225.2424
[20,] 13073.1213 12373.9354 11756.0527 12519.6563 13652.6008 13810.4949
[21,] 9949.6028 10759.2551 10940.0593 10136.2272 9006.3029 9152.2187
[22,] 11052.3766 11858.4052 11981.2735 11184.8055 10076.0348 10263.8083
[23,] 11795.7587 12595.4393 12662.4639 11876.1156 10792.1566 11018.8332
[24,] 10525.3228 11322.1816 11375.3740 10591.2336 9513.9310 9753.6141
[25,] 9416.6667 10210.7548 10252.7078 9470.2665 8398.7002 8650.1246
[26,] 11967.9319 12756.0142 12756.1944 11985.4791 10936.9110 11209.5908
[27,] 11072.4207 11857.9505 11849.3051 11080.4189 10037.2195 10318.4295
[28,] 10273.2942 11057.5574 11046.5255 10277.7396 9236.2112 9521.7442
[29,] 10474.8957 11239.9019 11153.2860 10407.8093 9416.1242 9751.3886
[30,] 16171.4953 16938.8636 16843.1431 16103.8971 15114.8260 15441.0269
[31,] 16558.7891 17314.0167 17177.0853 16453.3364 15493.6728 15844.4292
[32,] 17603.1691 18344.2287 18163.4471 17458.1317 16531.7192 16906.7537
[33,] 18960.1183 19709.7170 19551.3983 18836.9971 17892.1716 18252.1153
[34,] 12086.8840 12353.0241 11557.1008 11370.6496 11318.9938 11941.2778
[35,] 10515.3295 10779.5389 9986.4682 9797.0876 9756.9557 10379.4283
[36,] 9975.4101 10266.4469 9494.5914 9273.4668 9192.2042 9814.2178
[37,] 10061.3279 10265.1612 9434.1597 9309.5631 9370.7395 9991.2927
[38,] 10377.1555 10507.7624 9635.9709 9592.7685 9766.8216 10380.2093
[39,] 9377.2876 9657.6250 8880.1610 8668.1377 8609.0259 9231.4351
[40,] 10298.1342 10644.6835 9915.7680 9634.7395 9457.4854 10075.3133
[41,] 9867.5152 10115.1666 9312.8185 9139.1519 9130.6205 9752.9606
[42,] 9367.3871 9552.2861 8712.1881 8605.8029 8703.1459 9321.6304
[43,] 9977.6957 10142.6675 9289.5803 9207.4463 9331.1113 9948.2328
[44,] 10661.9504 10849.8023 10007.7803 9902.7629 9985.0649 10604.8615
[45,] 10879.7844 11216.3106 10476.9568 10209.3350 10046.2973 10664.7512
[46,] 11435.6268 11753.4777 10997.3861 10752.2901 10618.1743 11238.0090
[47,] 10947.2482 11185.8132 10374.1776 10214.4779 10213.6103 10835.9508
[48,] 11193.8967 11394.4838 10558.6254 10441.2675 10499.8766 11120.8191
[49,] 10879.3124 10989.9362 10107.7299 10087.6444 10288.5333 10899.6800
[50,] 11935.5158 12032.2666 11142.2787 11139.4844 11354.2984 11964.5780
[51,] 9716.5734 10519.1675 10859.8050 10054.1488 8895.9848 8912.6816
[52,] 9087.5768 9888.8790 10240.7072 9436.1392 8277.6748 8284.3513
[53,] 8524.9885 9327.2313 9674.4220 8869.6707 7711.2272 7721.3231
[54,] 8084.8061 8894.2615 9165.0393 8356.9648 7204.7101 7280.1028
[55,] 8973.2058 9783.2850 10033.4525 9225.5509 8077.4541 8169.3379
[56,] 8334.4545 9143.3415 9315.7967 8512.1438 7383.7643 7539.6255
[57,] 7970.1780 8752.2263 8744.7440 7972.8956 6930.1813 7224.2757
[58,] 2324.4012 2942.2950 2699.6825 1991.1001 1327.4116 1928.7195
[59,] 2046.8726 2273.5440 1623.1239 1279.4974 1669.7507 2192.8808
[60,] 2629.3986 2534.0102 1623.5669 1790.1516 2583.5573 3009.9704
[61,] 9220.4482 9959.8820 9802.2621 9082.2258 8147.8736 8534.3827
[62,] 7030.0749 7737.4470 7518.4203 6822.2326 5953.4210 6394.7708
[63,] 8647.3890 9313.6487 8995.7560 8353.7317 7577.9358 8059.6631
[64,] 9598.3265 10223.8918 9827.8710 9235.4019 8543.9852 9058.0748
[65,] 6133.7710 6722.1077 6299.6279 5721.2850 5107.6651 5662.4262
[66,] 7254.4029 7834.9742 7387.5413 6829.0313 6229.4238 6782.4600
[67,] 8300.5446 8858.5703 8369.9523 7844.1919 7287.6737 7848.8413
[68,] 7731.0544 8238.3344 7688.7090 7214.4015 6758.1953 7343.9939
[69,] 20469.1150 19685.7051 19286.8600 20092.6057 21250.6556 21263.8230
[70,] 5094.6648 5903.0487 6213.1365 5407.4909 4249.2840 4289.4306
[71,] 15226.9174 14424.2783 14409.8765 15171.2640 16229.0135 16013.1602
[72,] 14589.5894 13779.4419 13604.6882 14400.1216 15518.2603 15393.4255
[73,] 17391.6597 16591.8633 16284.0383 17091.7656 18240.7997 18195.0678
[74,] 10278.4607 11086.0282 11378.2996 10570.3753 9416.2394 9473.1630
[75,] 11172.1531 11982.4587 12215.1044 11408.0055 10264.7835 10368.9156
[76,] 11119.6619 11925.1632 12237.6088 11430.1709 10274.1025 10314.6595
[77,] 12061.4041 12870.7933 13129.5283 12321.6532 11173.4023 11256.6522
[78,] 11364.1527 12161.6795 12531.2193 11727.5741 10569.1105 10562.8975
[79,] 11428.3807 12212.1828 12645.7531 11850.7514 10696.7318 10636.7004
[80,] 11042.8570 11784.1571 11622.2640 10905.6664 9971.1015 10351.3530
[81,] 10102.1985 10804.8648 10552.2301 9876.4556 9025.6172 9463.2426
[82,] 11480.8677 12191.2774 11949.6317 11269.5035 10404.0844 10829.3045
[83,] 10752.4560 11428.2898 11116.4470 10472.9735 9679.7377 10146.2700
[84,] 11967.6906 12663.0346 12385.9920 11724.2984 10891.5842 11334.5468
[85,] 11483.7140 12147.1759 11808.2873 11181.0991 10413.9909 10891.3307
[86,] 11575.7346 12195.1497 11779.3045 11201.6218 10522.7104 11036.8624
[87,] 12130.4828 12759.8395 12358.1279 11771.1298 11072.7249 11578.3089
[88,] 12518.6917 13188.5970 12857.9429 12226.5124 11447.0082 11916.3504
[89,] 8205.4101 8137.7543 7200.6560 7369.2883 7859.7077 8418.9313
[90,] 8911.0125 8877.4388 7947.2944 8079.9177 8512.7482 9086.1634
[91,] 9062.1303 8963.4010 8019.9469 8223.4895 8745.3186 9298.0198
[92,] 9676.6678 9687.3795 8768.7372 8854.6215 9215.0599 9803.4088
[93,] 9857.7041 9846.5819 8921.2181 9031.1532 9421.3554 10004.4822
[94,] 9682.8365 9637.1494 8703.2052 8850.2501 9291.4512 9864.0754
[95,] 10323.2341 10357.5468 9445.7437 9507.3119 9827.0643 10422.7417
[96,] 10410.5829 10418.2879 9497.7455 9588.2776 9946.1232 10535.6497
[97,] 10713.5576 10745.9679 9832.9838 9897.3641 10216.6035 10812.6856
[98,] 10958.4242 11008.5832 10101.5086 10147.1658 10438.3130 11038.7084
[99,] 10754.4873 10731.9260 9802.5539 9926.1956 10324.5969 10907.0428
[100,] 9974.9026 9895.5215 8954.5717 9138.2072 9623.4559 10186.4353
[101,] 8348.5066 8192.7954 7243.6330 7508.1326 8115.6856 8642.8230
[102,] 6128.6807 5733.3259 4820.5869 5343.4700 6270.8278 6650.9864
[103,] 6592.2535 6093.3233 5240.3700 5861.2070 6877.3804 7192.3734
[104,] 7310.3234 6712.9654 5951.6199 6654.0360 7740.5236 7981.4398
[105,] 7637.4522 7230.3717 6324.8383 6852.0282 7766.2727 8156.7485
[106,] 8426.4952 7892.4774 7068.4122 7711.7291 8738.7164 9044.4261
[107,] 4980.7458 4172.1207 4029.7476 4807.9721 5908.9725 5785.7909
[108,] 5731.2540 4922.1449 4773.8224 5556.0542 6660.2305 6536.1165
[109,] 5639.9427 4832.3123 4830.1810 5575.0758 6627.9389 6435.5903
[110,] 4348.3345 3538.2645 3517.2544 4260.5058 5320.5186 5149.0636
[111,] 3957.5535 3176.5206 3415.4730 4055.9681 5000.9900 4726.6466
[112,] 3922.8995 3150.1988 2789.1841 3594.3412 4738.9837 4716.7676
[113,] 4766.3449 4021.8766 3541.5135 4347.2533 5505.2099 5544.1998
[114,] 5559.2079 4915.4819 4217.9602 4967.4697 6096.9964 6271.2336
[115,] 5926.8208 5188.7129 4677.0730 5477.2175 6635.3583 6698.6446
[116,] 6377.9900 5568.5709 5417.2391 6201.7814 7307.8274 7182.6781
[117,] 13094.0225 13884.9229 13895.8353 13122.8924 12068.0996 12330.9139
[118,] 12537.8565 13314.9712 13265.1278 12509.0503 11490.9172 11795.4680
[119,] 11867.1679 12633.4910 12545.7199 11801.6389 10809.5252 11140.5469
[120,] 13774.5710 14549.6484 14488.1415 13736.3670 12725.2925 13034.4535
[121,] 13068.9842 13824.5788 13697.3832 12968.3223 12003.9171 12356.1981
[122,] 12390.8276 13149.9061 13035.9968 12301.5580 11327.8673 11673.8279
[123,] 12127.3144 12863.7076 12684.0692 11975.7463 11054.1180 11441.0349
[124,] 14398.2824 15138.8414 14963.5670 14254.6342 13326.5157 13704.4524
[125,] 13193.9203 13905.2876 13659.6368 12982.5796 12117.1703 12538.7741
[126,] 15984.6364 16708.6978 16486.2476 15799.2353 14909.0351 15310.8337
[127,] 14088.4174 14773.4482 14467.8215 13822.8619 13013.4765 13465.1222
[128,] 15662.2893 16466.4109 16559.0435 15769.0562 14673.9883 14876.8227
[129,] 15388.2589 16183.0442 16209.8967 15433.8515 14370.3357 14618.5050
[130,] 14220.5408 15017.7200 15061.6001 14281.1752 13208.8587 13447.2084
[131,] 14605.7518 15381.5686 15320.8587 14569.1946 13557.2768 13864.2182
[132,] 15445.8740 16226.0054 16180.9998 15424.7301 14402.5480 14697.9039
[133,] 17188.3838 17969.4995 17925.3533 17169.3950 16146.2835 16438.4989
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[,264] [,265] [,266] [,267] [,268] [,269] [,270]
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[,271] [,272] [,273] [,274] [,275] [,276]
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[68,] 11189.473 9585.828 10082.506 11488.131 12962.8843
[69,] 21906.413 23855.063 25075.765 24102.371 24526.7212
[70,] 6175.124 3737.516 3726.610 5499.047 6878.2267
[71,] 15300.034 17677.560 18779.544 17395.546 17455.2834
[72,] 15317.468 17500.748 18672.097 17488.668 17756.3032
[73,] 18537.775 20590.565 21793.203 20727.871 21086.3887
[74,] 10623.622 8005.633 7243.231 9144.563 10090.2454
[75,] 11719.935 9099.065 8373.555 10283.849 11242.7581
[76,] 11302.163 8696.251 7861.442 9726.069 10588.3551
[77,] 12429.656 9815.493 9014.754 10892.046 11768.5657
[78,] 11252.341 8679.085 7755.585 9560.566 10324.5409
[79,] 10988.889 8471.988 7461.937 9184.304 9839.3641
[80,] 13172.506 10775.892 10596.225 12478.188 13777.6357
[81,] 12595.339 10344.522 10337.408 12141.355 13511.7765
[82,] 13860.135 11538.361 11440.093 13290.462 14624.3978
[83,] 13398.033 11196.662 11227.014 13011.722 14394.6806
[84,] 14441.318 12146.444 12071.288 13912.005 15254.8012
[85,] 14179.023 11985.125 12013.240 13800.340 15182.2155
[86,] 14502.849 12421.917 12545.562 14274.252 15686.4283
[87,] 14993.566 12868.602 12949.961 14706.398 16105.7273
[88,] 15143.827 12901.324 12872.949 14691.734 16052.4949
[89,] 12211.597 11854.491 12838.037 13490.979 14858.4860
[90,] 12928.066 12477.534 13427.883 14149.729 15534.0470
[91,] 13055.692 12747.801 13738.305 14370.970 15729.6405
[92,] 13699.650 13129.751 14036.587 14843.652 16247.7658
[93,] 13879.138 13354.526 14274.460 15054.932 16452.0373
[94,] 13697.438 13255.834 14202.821 14928.417 16311.6075
[95,] 14345.449 13705.227 14583.707 15442.683 16857.6708
[96,] 14433.546 13852.718 14750.364 15572.697 16978.9317
[97,] 14735.828 14090.647 14964.526 15830.857 17246.7976
[98,] 14978.358 14286.073 15141.894 16040.527 17463.1985
[99,] 14774.657 14256.906 15172.589 15958.404 17354.8846
[100,] 13978.167 13608.060 14574.271 15257.368 16627.9776
[101,] 12305.881 12139.521 13173.046 13705.742 15036.0398
[102,] 9790.640 10167.549 11329.619 11478.118 12679.3877
[103,] 10024.972 10645.693 11840.852 11833.927 12962.8971
[104,] 10422.368 11320.327 12543.590 12355.480 13389.0769
[105,] 11262.786 11676.292 12835.909 12979.806 14167.5029
[106,] 11725.351 12473.578 13678.048 13602.801 14683.7581
[107,] 6655.412 8281.430 9518.353 8798.882 9563.3484
[108,] 7242.822 8970.045 10201.050 9410.158 10109.8366
[109,] 6741.500 8616.938 9831.200 8928.530 9553.6707
[110,] 5904.656 7537.230 8771.716 8043.908 8821.4454
[111,] 4988.754 6766.627 7984.752 7151.606 7880.9082
[112,] 6382.736 7603.043 8849.552 8402.642 9350.7839
[113,] 7318.920 8529.172 9774.887 9345.882 10285.5086
[114,] 8566.423 9521.065 10753.562 10508.678 11533.2310
[115,] 8405.576 9691.313 10937.550 10467.056 11363.0249
[116,] 7769.172 9569.387 10794.933 9949.885 10597.9893
[117,] 14462.180 11883.215 11375.774 13318.325 14422.8380
[118,] 14172.214 11638.044 11235.123 13172.202 14348.0264
[119,] 13681.211 11190.280 10869.180 12792.414 14018.5675
[120,] 15393.906 12847.755 12411.877 14352.545 15501.5639
[121,] 14967.577 12483.290 12161.856 14086.307 15307.7407
[122,] 14273.502 11792.456 11481.890 13403.423 14633.3031
[123,] 14260.317 11848.463 11637.409 13531.660 14813.6926
[124,] 16417.117 13949.995 13644.767 15566.814 16793.4043
[125,] 15508.631 13139.808 12971.581 14852.364 16152.6938
[126,] 18120.252 15671.378 15382.699 17302.016 18534.3375
[127,] 16573.441 14254.055 14134.060 15996.942 17318.2064
[128,] 16582.233 13962.778 13268.639 15179.814 16116.0540
[129,] 16591.114 13986.496 13384.060 15317.367 16335.4667
[130,] 15402.132 12799.073 12208.181 14143.995 15179.0443
[131,] 16186.962 13629.610 13164.988 15107.270 16233.1816
[132,] 16933.706 14358.859 13848.881 15791.126 16880.8540
[133,] 18614.855 16026.544 15473.035 17412.012 18460.4799
[134,] 19940.083 17332.236 16705.475 18632.101 19612.0875
[135,] 18304.788 15690.872 15037.112 16958.306 17921.5347
[136,] 17771.865 15169.795 14573.177 16506.773 17523.3392
[137,] 9768.367 9715.952 10798.144 11218.807 12525.2223
[138,] 10036.170 10209.067 11334.339 11617.268 12871.3161
[139,] 10816.936 10970.805 12086.687 12393.619 13651.4591
[140,] 11485.973 11533.137 12622.417 13007.223 14290.3122
[141,] 12447.295 12552.822 13648.430 14007.297 15275.6739
[142,] 10965.318 10750.151 11782.673 12326.880 13666.9594
[143,] 10573.160 10139.380 11117.927 11792.351 13172.3177
[144,] 10726.739 10700.549 11779.681 12200.338 13500.6297
[145,] 11716.308 11554.279 12593.461 13115.400 14444.7758
[146,] 14335.718 12099.821 10915.768 12250.923 12433.5994
[147,] 6972.224 4799.952 3578.035 4931.790 5384.2336
[148,] 4189.145 3063.520 2138.028 1993.825 2061.0997
[149,] 3049.141 2783.538 2404.741 1027.001 832.1834
[150,] 13649.802 13590.716 14641.956 15120.898 16427.7463
[151,] 12894.974 13326.507 14481.918 14630.196 15809.5006
[152,] 12875.470 13573.869 14768.999 14736.626 15831.0040
[153,] 13591.062 14326.053 15524.046 15471.382 16551.1277
[154,] 13951.468 14668.956 15863.852 15825.550 16910.4527
[155,] 13616.248 13830.722 14942.918 15242.071 16481.5380
[156,] 14383.321 14143.961 15144.484 15747.702 17093.2286
[157,] 12197.014 11581.475 12487.134 13302.736 14712.5997
[158,] 12727.534 12121.287 13024.765 13842.229 15251.1478
[159,] 12487.479 11965.306 12897.699 13658.869 15054.7113
[160,] 22872.591 25323.833 26387.225 24900.213 24804.6192
[161,] 11100.791 10125.571 10917.379 11937.398 13389.0471
[162,] 10651.232 9777.551 10614.088 11562.514 13003.4861
[163,] 10822.413 10063.169 10937.425 11818.714 13246.6190
[164,] 11375.299 10586.993 11443.841 12353.545 13785.6112
[165,] 11194.433 10509.154 11403.327 12245.822 13664.5479
[166,] 11480.920 10860.069 11771.761 12579.188 13989.1999
[167,] 9263.101 8914.114 9932.292 10526.488 11890.8915
[168,] 10125.674 9494.665 10420.611 11208.235 12618.2996
[169,] 9612.009 8726.413 9576.104 10507.837 11948.6977
[170,] 9627.240 8329.214 9012.938 10196.664 11668.4625
[171,] 8550.729 7493.904 8303.791 9308.501 10763.7434
[172,] 11760.324 10682.230 11423.438 12518.989 13979.9212
[173,] 11576.659 10661.370 11469.414 12461.322 13907.6785
[174,] 11975.334 11214.379 12073.525 12976.480 14405.8010
[175,] 13682.833 12919.012 13759.881 14688.859 16119.9804
[176,] 14035.426 13297.331 14144.334 15061.439 16489.5576
[177,] 14287.059 13604.658 14469.146 15354.099 16774.9784
[178,] 13795.789 13186.688 14079.917 14912.914 16323.0059
[179,] 6772.363 9348.797 10297.578 8696.170 8591.7126
[180,] 6157.046 8675.293 9683.814 8183.909 8232.5214
[181,] 5686.921 8120.746 9182.901 7794.191 7990.3898
[182,] 7400.755 9732.284 10844.827 9546.701 9796.3761
[183,] 7666.128 10093.517 11163.066 9760.001 9888.7368
[184,] 7974.700 10462.732 11495.495 10015.862 10047.0777
[185,] 8481.650 10985.203 12006.861 10502.159 10492.5810
[186,] 9698.732 11745.150 12940.362 11893.839 12343.8217
[187,] 10455.591 12196.614 13431.613 12634.267 13277.4262
[188,] 8252.869 10182.246 11393.473 10447.078 11005.5174
[189,] 8537.850 9847.426 11093.893 10607.812 11492.0485
[190,] 9222.889 10865.107 12105.173 11381.916 12096.3645
[191,] 20734.933 18138.877 17555.025 19489.408 20504.2276
[192,] 22308.592 19721.199 19160.292 21097.465 22126.8133
[193,] 20450.160 17879.933 17368.570 19310.369 20385.8916
[194,] 22413.113 19861.144 19384.953 21327.588 22425.0714
[195,] 23827.347 21262.670 20755.766 22697.478 23767.5759
[196,] 9436.472 11725.399 12857.672 11589.329 11832.7395
[197,] 10915.710 13111.854 14275.125 13090.394 13396.9669
[198,] 12029.241 14162.814 15343.340 14213.667 14560.0059
[199,] 12505.244 14751.263 15901.882 14664.025 14901.1270
[200,] 13350.334 15486.581 16667.945 15532.866 15861.6581
[201,] 14294.507 16544.522 17695.563 16448.885 16661.6277
[202,] 14859.350 17028.376 18203.082 17034.177 17319.0041
[203,] 14447.296 16502.358 17701.830 16639.050 17024.9679
[204,] 12682.973 10802.330 11100.747 12695.965 14148.5041
[205,] 12517.623 10771.300 11160.886 12674.451 14140.6431
[206,] 12628.145 11000.431 11459.929 12904.234 14377.2677
[207,] 13182.509 11524.866 11959.208 13429.137 14900.3671
[208,] 13083.642 11654.922 12216.700 13547.548 15023.9408
[209,] 13660.539 12158.221 12674.264 14057.278 15533.3568
[210,] 14344.277 12792.705 13274.073 14694.836 16169.7255
[211,] 13726.250 11988.935 12367.833 13891.832 15357.3126
[212,] 13272.308 11242.254 11421.798 13110.389 14537.4990
[213,] 13811.555 11869.359 12108.730 13752.957 15194.3281
[214,] 14722.550 12797.224 13038.458 14681.968 16124.0934
[215,] 14964.478 13329.874 13757.332 15234.138 16705.3961
[216,] 15423.026 13602.696 13909.574 15499.247 16954.5679
[217,] 15644.444 14078.524 14539.026 15981.685 17455.6726
[218,] 16633.453 14814.413 15111.458 16710.118 18164.1034
[219,] 11095.093 10687.642 11667.756 12335.117 13710.9524
[220,] 11351.763 10982.709 11970.907 12618.422 13987.6594
[221,] 11497.084 11188.877 12192.271 12803.720 14161.8967
[222,] 11689.638 11392.924 12397.640 13004.751 14360.8372
[223,] 11912.240 11658.138 12672.223 13255.549 14603.5093
[224,] 11381.555 10866.707 11812.448 12551.955 13945.8141
[225,] 11803.402 11254.402 12185.207 12953.002 14352.5510
[226,] 11836.886 11338.613 12284.582 13021.066 14412.6127
[227,] 11860.355 11401.432 12358.905 13071.005 14456.0937
[228,] 12129.098 11702.078 12666.361 13362.359 14742.2000
[229,] 12068.029 11027.843 11780.497 12857.951 14316.1943
[230,] 12042.607 11106.622 11900.822 12913.499 14362.3792
[231,] 12372.420 11495.138 12307.678 13289.237 14732.4090
[232,] 12405.550 11677.823 12543.781 13432.720 14858.2130
[233,] 12768.671 11968.819 12805.508 13744.793 15179.5694
[234,] 4553.374 5162.036 4799.411 3276.680 1809.8078
[235,] 4241.148 4374.184 3873.771 2570.321 1273.7529
[236,] 5199.876 5020.941 4310.583 3363.072 2238.2313
[237,] 6293.736 6217.045 5472.898 4547.108 3328.9701
[238,] 5429.412 5748.870 5205.351 3932.435 2545.1279
[239,] 5584.501 6481.279 6156.886 4581.309 3105.0248
[240,] 6603.072 6966.618 6373.935 5159.971 3764.7787
[241,] 7703.747 7271.046 6346.566 5791.894 4742.9282
[242,] 6532.282 6045.603 5145.006 4574.296 3596.3363
[243,] 7788.840 9893.032 11072.429 9982.108 10425.5580
[244,] 6951.157 9136.134 10293.903 9137.146 9537.6862
[245,] 6035.865 8264.615 9407.144 8217.722 8611.2052
[246,] 5040.391 7288.849 8421.105 7223.318 7641.2459
[247,] 5547.976 7558.199 8747.529 7743.021 8317.7078
[248,] 3697.606 5877.003 7018.438 5893.437 6438.1974
[249,] 2403.953 4399.380 5559.411 4573.858 5320.0442
[250,] 3609.956 5107.882 6339.538 5672.952 6576.5567
[251,] 4318.447 5401.884 6648.632 6243.397 7275.6233
[252,] 4883.688 6249.927 7493.850 6931.374 7850.0932
[253,] 5608.985 6384.523 7617.703 7431.840 8540.8525
[254,] 6968.066 7297.737 8476.562 8596.895 9818.6519
[255,] 6852.284 7515.272 8732.212 8646.101 9778.0296
[256,] 7718.769 8458.489 9677.337 9560.118 10662.9629
[257,] 17727.159 16787.893 17532.420 18610.635 20063.5550
[258,] 20511.223 19888.992 20740.284 21635.853 23050.9900
[259,] 10072.676 8070.445 6831.726 7922.312 7984.2199
[260,] 9273.831 7003.715 5821.927 7246.551 7631.9817
[261,] 9337.095 6806.465 5816.497 7581.780 8324.2237
[262,] 10918.252 8524.802 7407.684 8964.809 9432.6056
[263,] 11358.082 9233.365 8015.471 9239.320 9376.3343
[264,] 2271.193 4873.389 5793.480 4255.826 4460.3295
[265,] 4014.951 6623.727 7390.818 5625.612 5347.7229
[266,] 5100.447 7709.722 8602.058 6949.168 6818.0976
[267,] 3924.521 6456.554 7451.636 5974.453 6137.8154
[268,] 4203.585 5607.639 5589.028 3746.830 2417.9191
[269,] 5012.353 6562.623 6557.353 4712.256 3382.0280
[270,] 3015.445 5129.128 5519.711 3584.207 2848.4907
[271,] 4327.180 6506.204 6863.738 4921.643 4009.6843
[272,] 13073.391 12262.544 13092.148 14042.571 15478.9027
[273,] 13220.654 12572.460 13457.564 14308.047 15723.4049
[274,] 13469.046 12894.261 13801.397 14608.749 16013.4641
[275,] 15310.860 14901.597 15847.654 16569.260 17947.4549
[276,] 13383.656 10763.745 10007.943 11902.451 12810.0137
[277,] 15162.348 12541.441 11822.977 13727.980 14652.5163
[278,] 13440.297 10821.848 10152.260 12074.846 13060.5864
[279,] 12398.352 9779.525 9112.183 11037.069 12036.4409
[280,] 14256.680 11643.346 11008.561 12937.877 13945.4291
[281,] 13898.633 11302.432 10745.689 12686.056 13758.3103
[282,] 11355.298 13371.946 14575.041 13550.898 13999.4091
[283,] 13150.800 15076.799 16295.602 15347.021 15842.0095
[284,] 12017.555 13756.404 14992.998 14198.368 14826.4114
[285,] 14175.751 15944.766 17180.587 16362.380 16953.6839
[286,] 16243.250 17975.955 19215.321 18427.342 19027.9663
[287,] 10816.341 9680.696 10412.233 11525.027 12989.1536
[288,] 12656.758 11541.433 12255.348 13388.426 14852.7476
[289,] 12316.129 10923.803 11514.292 12811.534 14287.4356
[290,] 11096.395 9679.741 10277.433 11567.670 13043.6459
[291,] 7671.315 7079.491 8061.821 8756.349 10157.3775
[292,] 8459.983 7985.914 8984.096 9633.618 11018.1594
[293,] 7595.340 7306.071 8365.440 8876.693 10229.3766
[294,] 8203.346 7992.322 9059.026 9541.618 10880.2548
[295,] 7643.731 7636.677 8753.323 9096.396 10394.2722
[296,] 8117.108 8113.909 9224.917 9578.562 10875.2560
[297,] 8652.436 8596.574 9690.391 10089.593 11397.1789
[298,] 7959.065 8255.372 9419.366 9585.027 10812.1412
[299,] 8684.275 8861.991 9999.809 10254.923 11509.7568
[300,] 8170.621 8748.279 9947.998 9941.708 11091.3783
[301,] 8925.022 9338.912 10512.347 10623.308 11816.7151
[ reached getOption("max.print") -- omitted 31 rows ]6.3 Extracting and attaching the SUBZONE_C Names
sz_names <- mpsz$SUBZONE_Ccolnames(dist) <- paste0(sz_names)
rownames(dist) <- paste0(sz_names)6.4 Pivoting Distance Pair
distPair <- melt(dist) %>%
rename(dist = value)
head(distPair, 10) Var1 Var2 dist
1 AMSZ01 AMSZ01 0.0000
2 AMSZ02 AMSZ01 810.4491
3 AMSZ03 AMSZ01 1360.9294
4 AMSZ04 AMSZ01 840.4432
5 AMSZ05 AMSZ01 1076.7916
6 AMSZ06 AMSZ01 805.2979
7 AMSZ07 AMSZ01 1798.7526
8 AMSZ08 AMSZ01 2576.0199
9 AMSZ09 AMSZ01 1204.2846
10 AMSZ10 AMSZ01 1417.8035distPair %>%
filter(dist > 0) %>%
summary() Var1 Var2 dist
AMSZ01 : 331 AMSZ01 : 331 Min. : 173.8
AMSZ02 : 331 AMSZ02 : 331 1st Qu.: 7149.5
AMSZ03 : 331 AMSZ03 : 331 Median :11890.0
AMSZ04 : 331 AMSZ04 : 331 Mean :12229.4
AMSZ05 : 331 AMSZ05 : 331 3rd Qu.:16401.7
AMSZ06 : 331 AMSZ06 : 331 Max. :49894.4
(Other):107906 (Other):107906 6.5 Updating Intra-Zone Distances
A constant distance value of 50m is added into intra-zones
distPair$dict <- ifelse(distPair$dist == 0,
50, distPair$dist)distPair <- distPair %>%
rename(orig = Var1,
dest = Var2)7 Preparing Flow Data
flow_data <- od_data %>%
group_by(ORIGIN_SZ, DESTIN_SZ) %>%
summarize(TRIPS = sum(TRIPS))`summarise()` has grouped output by 'ORIGIN_SZ'. You can override using the
`.groups` argument.pop <- read_csv("In-Class_Ex11/data/aspatial/pop.csv")Rows: 332 Columns: 5
── Column specification ────────────────────────────────────────────────────────
Delimiter: ","
chr (2): PA, SZ
dbl (3): AGE7_12, AGE13_24, AGE25_64
ℹ Use `spec()` to retrieve the full column specification for this data.
ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.pop <- pop %>%
left_join(mpsz,
by = c("PA" = "PLN_AREA_N",
"SZ" = "SUBZONE_N")) %>%
select(1:6) %>%
rename(SZ_NAME = SZ,
SZ = SUBZONE_C)flow_data1 <- flow_data %>%
left_join(distPair,
by = c("ORIGIN_SZ" = "orig",
"DESTIN_SZ" = "dest"))flow_data1 <- flow_data1 %>%
left_join(pop,
by = c(ORIGIN_SZ = "SZ")) %>%
rename(ORIGIN_AGE7_12 = AGE7_12,
ORIGIN_AGE13_24 = AGE13_24,
ORIGIN_AGE25_64 = AGE25_64) %>%
select(-c(PA,SZ_NAME))flow_data1 <- flow_data1 %>%
left_join(pop,
by = c(DESTIN_SZ = "SZ")) %>%
rename(DESTIN_AGE7_12 = AGE7_12,
DESTIN_AGE13_24 = AGE13_24,
DESTIN_AGE25_64 = AGE25_64) %>%
select(-c(PA,SZ_NAME))write_rds(flow_data1, "In-Class_Ex11/data/rds/SIM_data")8 Visualising Spatial Interaction
8.1 Removing intra-zonal flows
flow_data1 <- flow_data1[flow_data1$ORIGIN_SZ!=flow_data1$DESTIN_SZ,]OD_data <- flow_data1[,c(1,2,3)]8.2 Creating Desire Lines
flowLine <- od2line(flow = OD_data,
zones = mpsz,
zone_code = "SUBZONE_C")Creating centroids representing desire line start and end points.8.3
Visualising the Desire Lines
tm_shape(mpsz) +
tm_polygons() +
tm_shape(flowLine) +
tm_lines(lwd = "TRIPS",
style = "quantile",
scale = c(0.1, 1, 3, 5, 10),
n = 5,
alpha = 0.1)Warning in g$scale * (w_legend/maxW): longer object length is not a multiple of
shorter object lengthWarning in g$scale * (x/maxW): longer object length is not a multiple of
shorter object length
9 Calibrating Spatial Interaction Models
9.1 Importing the Modelling Data
SIM_data <- read_rds("In-Class_Ex11/data/rds/SIM_data.rds")9.2 Visualising the Dependent Variable
ggplot(data = SIM_data,
aes(x = TRIPS)) +
geom_histogram()`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
ggplot(data = SIM_data,
aes(x = dist,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)`geom_smooth()` using formula = 'y ~ x'
ggplot(data = SIM_data,
aes(x = log(dist),
y = log(TRIPS))) +
geom_point() +
geom_smooth(method = lm)`geom_smooth()` using formula = 'y ~ x'
9.3 Checking for Variables with Zero Values
summary(SIM_data) ORIGIN_SZ DESTIN_SZ TRIPS FlowNoIntra
Length:14274 Length:14274 Min. : 1.0 Min. : 1.0
Class :character Class :character 1st Qu.: 11.0 1st Qu.: 11.0
Mode :character Mode :character Median : 56.0 Median : 56.0
Mean : 664.3 Mean : 664.3
3rd Qu.: 296.0 3rd Qu.: 296.0
Max. :104167.0 Max. :104167.0
offset dist ORIGIN_AGE7_12 ORIGIN_AGE13_24 ORIGIN_AGE25_64
Min. :1 Min. : 173.8 Min. : 0 Min. : 0 Min. : 0
1st Qu.:1 1st Qu.: 3465.4 1st Qu.: 240 1st Qu.: 460 1st Qu.: 2210
Median :1 Median : 6121.0 Median : 710 Median : 1400 Median : 7030
Mean :1 Mean : 6951.8 Mean :1037 Mean : 2278 Mean :10536
3rd Qu.:1 3rd Qu.: 9725.1 3rd Qu.:1500 3rd Qu.: 3282 3rd Qu.:15830
Max. :1 Max. :26135.8 Max. :6340 Max. :16380 Max. :74610
DESTIN_AGE7_12 DESTIN_AGE13_24 DESTIN_AGE25_64
Min. : 0 Min. : 0 Min. : 0
1st Qu.: 250 1st Qu.: 460 1st Qu.: 2210
Median : 720 Median : 1430 Median : 7120
Mean :1040 Mean : 2305 Mean :10648
3rd Qu.:1500 3rd Qu.: 3290 3rd Qu.:15830
Max. :6340 Max. :16380 Max. :74610 Using the code chunk below, we will replace values with 0 to 0.99
SIM_data$DESTIN_AGE7_12 <- ifelse(
SIM_data$DESTIN_AGE7_12 == 0,
0.99, SIM_data$DESTIN_AGE7_12)
SIM_data$DESTIN_AGE13_24 <- ifelse(
SIM_data$DESTIN_AGE13_24 == 0,
0.99, SIM_data$DESTIN_AGE13_24)
SIM_data$DESTIN_AGE25_64 <- ifelse(
SIM_data$DESTIN_AGE25_64 == 0,
0.99, SIM_data$DESTIN_AGE25_64)
SIM_data$ORIGIN_AGE7_12 <- ifelse(
SIM_data$ORIGIN_AGE7_12 == 0,
0.99, SIM_data$ORIGIN_AGE7_12)
SIM_data$ORIGIN_AGE13_24 <- ifelse(
SIM_data$ORIGIN_AGE13_24 == 0,
0.99, SIM_data$ORIGIN_AGE13_24)
SIM_data$ORIGIN_AGE25_64 <- ifelse(
SIM_data$ORIGIN_AGE25_64 == 0,
0.99, SIM_data$ORIGIN_AGE25_64)Let us view it again
summary(SIM_data) ORIGIN_SZ DESTIN_SZ TRIPS FlowNoIntra
Length:14274 Length:14274 Min. : 1.0 Min. : 1.0
Class :character Class :character 1st Qu.: 11.0 1st Qu.: 11.0
Mode :character Mode :character Median : 56.0 Median : 56.0
Mean : 664.3 Mean : 664.3
3rd Qu.: 296.0 3rd Qu.: 296.0
Max. :104167.0 Max. :104167.0
offset dist ORIGIN_AGE7_12 ORIGIN_AGE13_24
Min. :1 Min. : 173.8 Min. : 0.99 Min. : 0.99
1st Qu.:1 1st Qu.: 3465.4 1st Qu.: 240.00 1st Qu.: 460.00
Median :1 Median : 6121.0 Median : 710.00 Median : 1400.00
Mean :1 Mean : 6951.8 Mean :1036.73 Mean : 2278.59
3rd Qu.:1 3rd Qu.: 9725.1 3rd Qu.:1500.00 3rd Qu.: 3282.50
Max. :1 Max. :26135.8 Max. :6340.00 Max. :16380.00
ORIGIN_AGE25_64 DESTIN_AGE7_12 DESTIN_AGE13_24 DESTIN_AGE25_64
Min. : 0.99 Min. : 0.99 Min. : 0.99 Min. : 0.99
1st Qu.: 2210.00 1st Qu.: 250.00 1st Qu.: 460.00 1st Qu.: 2210.00
Median : 7030.00 Median : 720.00 Median : 1430.00 Median : 7120.00
Mean :10535.93 Mean :1039.98 Mean : 2305.33 Mean :10647.95
3rd Qu.:15830.00 3rd Qu.:1500.00 3rd Qu.: 3290.00 3rd Qu.:15830.00
Max. :74610.00 Max. :6340.00 Max. :16380.00 Max. :74610.00 9.4 Unconstrained Spatial Interaction Model
uncSIM <- glm(formula = TRIPS ~
log(ORIGIN_AGE25_64) +
log(DESTIN_AGE25_64) +
log(dist),
family = poisson(link = "log"),
data = SIM_data,
na.action = na.exclude)
uncSIM
Call: glm(formula = TRIPS ~ log(ORIGIN_AGE25_64) + log(DESTIN_AGE25_64) +
log(dist), family = poisson(link = "log"), data = SIM_data,
na.action = na.exclude)
Coefficients:
(Intercept) log(ORIGIN_AGE25_64) log(DESTIN_AGE25_64)
17.00287 0.21001 0.01289
log(dist)
-1.51785
Degrees of Freedom: 14273 Total (i.e. Null); 14270 Residual
Null Deviance: 36120000
Residual Deviance: 19960000 AIC: 200400009.5 R-Squared Function
CalcRSquared <- function(observed,estimated){
r <- cor(observed,estimated)
R2 <- r^2
R2
}Next, we will calculate the R-Squared of the unconstrained SIM using the code chunk below
CalcRSquared(uncSIM$data$TRIPS, uncSIM$fitted.values)[1] 0.1694734r2_mcfadden(uncSIM)# R2 for Generalized Linear Regression
R2: 0.446
adj. R2: 0.4469.6 Origin (Production) Constrained SIM
orcSIM <- glm(formula = TRIPS ~
ORIGIN_SZ +
log(DESTIN_AGE25_64) +
log(dist),
family = poisson(link = "log"),
data = SIM_data,
na.action = na.exclude)
summary(orcSIM)
Call:
glm(formula = TRIPS ~ ORIGIN_SZ + log(DESTIN_AGE25_64) + log(dist),
family = poisson(link = "log"), data = SIM_data, na.action = na.exclude)
Deviance Residuals:
Min 1Q Median 3Q Max
-241.02 -16.13 -7.46 0.80 418.33
Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept) 19.9309957 0.0054015 3689.887 < 2e-16 ***
ORIGIN_SZAMSZ02 0.6805710 0.0052686 129.175 < 2e-16 ***
ORIGIN_SZAMSZ03 0.3597850 0.0054884 65.554 < 2e-16 ***
ORIGIN_SZAMSZ04 -0.1106566 0.0060027 -18.434 < 2e-16 ***
ORIGIN_SZAMSZ05 -0.3140561 0.0067998 -46.186 < 2e-16 ***
ORIGIN_SZAMSZ06 0.0634425 0.0060258 10.528 < 2e-16 ***
ORIGIN_SZAMSZ07 -1.1301580 0.0110298 -102.464 < 2e-16 ***
ORIGIN_SZAMSZ08 -0.6330394 0.0102949 -61.491 < 2e-16 ***
ORIGIN_SZAMSZ09 0.1064915 0.0063450 16.784 < 2e-16 ***
ORIGIN_SZAMSZ10 0.5061899 0.0053889 93.931 < 2e-16 ***
ORIGIN_SZAMSZ11 -1.3167911 0.0144870 -90.895 < 2e-16 ***
ORIGIN_SZAMSZ12 -1.5103004 0.0127453 -118.499 < 2e-16 ***
ORIGIN_SZBDSZ01 1.3626004 0.0051433 264.929 < 2e-16 ***
ORIGIN_SZBDSZ02 0.9554084 0.0059655 160.156 < 2e-16 ***
ORIGIN_SZBDSZ03 1.1476190 0.0054278 211.433 < 2e-16 ***
ORIGIN_SZBDSZ04 2.0110410 0.0046344 433.940 < 2e-16 ***
ORIGIN_SZBDSZ05 1.0658940 0.0053976 197.477 < 2e-16 ***
ORIGIN_SZBDSZ06 1.2719222 0.0054774 232.213 < 2e-16 ***
ORIGIN_SZBDSZ07 -0.5053039 0.0111553 -45.297 < 2e-16 ***
ORIGIN_SZBDSZ08 -0.3556193 0.0102947 -34.544 < 2e-16 ***
ORIGIN_SZBKSZ01 -0.3606399 0.0075473 -47.784 < 2e-16 ***
ORIGIN_SZBKSZ02 0.1357265 0.0061394 22.107 < 2e-16 ***
ORIGIN_SZBKSZ03 0.4101999 0.0058983 69.545 < 2e-16 ***
ORIGIN_SZBKSZ04 -0.3418645 0.0070764 -48.310 < 2e-16 ***
ORIGIN_SZBKSZ05 -0.2986750 0.0074073 -40.322 < 2e-16 ***
ORIGIN_SZBKSZ06 -0.2637855 0.0068739 -38.375 < 2e-16 ***
ORIGIN_SZBKSZ07 0.5498323 0.0051476 106.813 < 2e-16 ***
ORIGIN_SZBKSZ08 -0.0527393 0.0061457 -8.582 < 2e-16 ***
ORIGIN_SZBKSZ09 -0.1564691 0.0067300 -23.249 < 2e-16 ***
ORIGIN_SZBLSZ01 -1.7551329 0.0176599 -99.385 < 2e-16 ***
ORIGIN_SZBLSZ02 -1.9493637 0.0213859 -91.152 < 2e-16 ***
ORIGIN_SZBLSZ03 -2.9057732 0.0535995 -54.213 < 2e-16 ***
ORIGIN_SZBLSZ04 -1.4672066 0.0254726 -57.599 < 2e-16 ***
ORIGIN_SZBMSZ01 0.1806064 0.0060563 29.821 < 2e-16 ***
ORIGIN_SZBMSZ02 -1.4026549 0.0078244 -179.267 < 2e-16 ***
ORIGIN_SZBMSZ03 -0.5976236 0.0063808 -93.660 < 2e-16 ***
ORIGIN_SZBMSZ04 -0.5456513 0.0059061 -92.388 < 2e-16 ***
ORIGIN_SZBMSZ05 -3.1095195 0.0188118 -165.297 < 2e-16 ***
ORIGIN_SZBMSZ06 -3.0273827 0.0194319 -155.794 < 2e-16 ***
ORIGIN_SZBMSZ07 -0.7378197 0.0066865 -110.345 < 2e-16 ***
ORIGIN_SZBMSZ08 -0.9306150 0.0067188 -138.510 < 2e-16 ***
ORIGIN_SZBMSZ09 -1.4137345 0.0101071 -139.876 < 2e-16 ***
ORIGIN_SZBMSZ10 -1.7054195 0.0101582 -167.886 < 2e-16 ***
ORIGIN_SZBMSZ11 -1.2418380 0.0076792 -161.714 < 2e-16 ***
ORIGIN_SZBMSZ12 -1.3746537 0.0109769 -125.231 < 2e-16 ***
ORIGIN_SZBMSZ13 -0.4339494 0.0069335 -62.587 < 2e-16 ***
ORIGIN_SZBMSZ14 -0.9950458 0.0076302 -130.410 < 2e-16 ***
ORIGIN_SZBMSZ15 -0.6544196 0.0068964 -94.892 < 2e-16 ***
ORIGIN_SZBMSZ16 -1.5193747 0.0105329 -144.250 < 2e-16 ***
ORIGIN_SZBMSZ17 -1.6536771 0.0180672 -91.529 < 2e-16 ***
ORIGIN_SZBPSZ01 0.1484355 0.0064734 22.930 < 2e-16 ***
ORIGIN_SZBPSZ02 -0.3602094 0.0073902 -48.741 < 2e-16 ***
ORIGIN_SZBPSZ03 -0.1567975 0.0072226 -21.709 < 2e-16 ***
ORIGIN_SZBPSZ04 0.4504873 0.0058418 77.115 < 2e-16 ***
ORIGIN_SZBPSZ05 0.5028646 0.0053682 93.675 < 2e-16 ***
ORIGIN_SZBPSZ06 -1.0125668 0.0105638 -95.853 < 2e-16 ***
ORIGIN_SZBPSZ07 -0.3859065 0.0098561 -39.154 < 2e-16 ***
ORIGIN_SZBSSZ01 0.1488497 0.0065504 22.724 < 2e-16 ***
ORIGIN_SZBSSZ02 0.4269498 0.0055893 76.387 < 2e-16 ***
ORIGIN_SZBSSZ03 -0.2437385 0.0062020 -39.300 < 2e-16 ***
ORIGIN_SZBTSZ01 0.1987940 0.0066672 29.817 < 2e-16 ***
ORIGIN_SZBTSZ02 -0.4571546 0.0090784 -50.356 < 2e-16 ***
ORIGIN_SZBTSZ03 -0.2697243 0.0077941 -34.606 < 2e-16 ***
ORIGIN_SZBTSZ04 -1.0997236 0.0115225 -95.441 < 2e-16 ***
ORIGIN_SZBTSZ05 -1.0053122 0.0132594 -75.819 < 2e-16 ***
ORIGIN_SZBTSZ06 -1.0841201 0.0102242 -106.035 < 2e-16 ***
ORIGIN_SZBTSZ07 -2.3134497 0.0158499 -145.960 < 2e-16 ***
ORIGIN_SZBTSZ08 -1.1581618 0.0121161 -95.589 < 2e-16 ***
ORIGIN_SZCBSZ01 -1.0805930 0.0577831 -18.701 < 2e-16 ***
ORIGIN_SZCCSZ01 -0.8145372 0.0152638 -53.364 < 2e-16 ***
ORIGIN_SZCHSZ01 0.0377079 0.0133240 2.830 0.004654 **
ORIGIN_SZCHSZ02 -0.6209553 0.0096388 -64.422 < 2e-16 ***
ORIGIN_SZCHSZ03 1.6790244 0.0069559 241.381 < 2e-16 ***
ORIGIN_SZCKSZ01 0.0839586 0.0059934 14.008 < 2e-16 ***
ORIGIN_SZCKSZ02 0.4379511 0.0062289 70.309 < 2e-16 ***
ORIGIN_SZCKSZ03 0.7956950 0.0051892 153.335 < 2e-16 ***
ORIGIN_SZCKSZ04 1.2740323 0.0053165 239.637 < 2e-16 ***
ORIGIN_SZCKSZ05 0.9326213 0.0061807 150.893 < 2e-16 ***
ORIGIN_SZCKSZ06 0.3976273 0.0085639 46.431 < 2e-16 ***
ORIGIN_SZCLSZ01 -0.7522917 0.0094655 -79.477 < 2e-16 ***
ORIGIN_SZCLSZ02 -1.3937450 0.0153260 -90.940 < 2e-16 ***
ORIGIN_SZCLSZ03 -0.7898683 0.0091016 -86.784 < 2e-16 ***
ORIGIN_SZCLSZ04 0.8451512 0.0051258 164.882 < 2e-16 ***
ORIGIN_SZCLSZ05 -1.6573818 0.0166091 -99.788 < 2e-16 ***
ORIGIN_SZCLSZ06 0.9478181 0.0048182 196.716 < 2e-16 ***
ORIGIN_SZCLSZ07 -0.2499753 0.0064632 -38.677 < 2e-16 ***
ORIGIN_SZCLSZ08 0.1350119 0.0069296 19.483 < 2e-16 ***
ORIGIN_SZCLSZ09 -1.3868782 0.0192743 -71.955 < 2e-16 ***
ORIGIN_SZDTSZ02 -3.7535792 0.0871325 -43.079 < 2e-16 ***
ORIGIN_SZDTSZ03 -3.8462041 0.0840156 -45.780 < 2e-16 ***
ORIGIN_SZDTSZ13 -2.9738127 0.0349241 -85.151 < 2e-16 ***
ORIGIN_SZGLSZ01 -1.5175198 0.0110135 -137.787 < 2e-16 ***
ORIGIN_SZGLSZ02 0.2405712 0.0058742 40.954 < 2e-16 ***
ORIGIN_SZGLSZ03 0.1940241 0.0061989 31.300 < 2e-16 ***
ORIGIN_SZGLSZ04 1.0292572 0.0049028 209.931 < 2e-16 ***
ORIGIN_SZGLSZ05 0.9864552 0.0050898 193.811 < 2e-16 ***
ORIGIN_SZHGSZ01 0.3073609 0.0054307 56.597 < 2e-16 ***
ORIGIN_SZHGSZ02 0.3827293 0.0054555 70.154 < 2e-16 ***
ORIGIN_SZHGSZ03 0.2342580 0.0059240 39.544 < 2e-16 ***
ORIGIN_SZHGSZ04 0.8750090 0.0049639 176.275 < 2e-16 ***
ORIGIN_SZHGSZ05 1.1695280 0.0049468 236.420 < 2e-16 ***
ORIGIN_SZHGSZ06 -0.0462411 0.0063805 -7.247 4.25e-13 ***
ORIGIN_SZHGSZ07 0.4488583 0.0055139 81.404 < 2e-16 ***
ORIGIN_SZHGSZ08 0.2236095 0.0061279 36.490 < 2e-16 ***
ORIGIN_SZHGSZ09 -1.6376674 0.0084442 -193.941 < 2e-16 ***
ORIGIN_SZHGSZ10 -2.9849025 0.0501042 -59.574 < 2e-16 ***
ORIGIN_SZJESZ01 0.3926525 0.0056268 69.783 < 2e-16 ***
ORIGIN_SZJESZ02 0.1230160 0.0056864 21.633 < 2e-16 ***
ORIGIN_SZJESZ03 0.0188276 0.0061020 3.085 0.002032 **
ORIGIN_SZJESZ04 -1.3611618 0.0117184 -116.156 < 2e-16 ***
ORIGIN_SZJESZ05 -2.0643662 0.0157083 -131.419 < 2e-16 ***
ORIGIN_SZJESZ06 0.1556368 0.0055245 28.172 < 2e-16 ***
ORIGIN_SZJESZ07 -1.7664532 0.0133171 -132.646 < 2e-16 ***
ORIGIN_SZJESZ08 -0.9115981 0.0138203 -65.961 < 2e-16 ***
ORIGIN_SZJESZ09 0.6121916 0.0060381 101.388 < 2e-16 ***
ORIGIN_SZJESZ10 -1.1953045 0.0233216 -51.253 < 2e-16 ***
ORIGIN_SZJESZ11 -1.4088748 0.0220921 -63.773 < 2e-16 ***
ORIGIN_SZJWSZ01 0.5759093 0.0077741 74.081 < 2e-16 ***
ORIGIN_SZJWSZ02 0.9769314 0.0053029 184.227 < 2e-16 ***
ORIGIN_SZJWSZ03 1.3242695 0.0049068 269.882 < 2e-16 ***
ORIGIN_SZJWSZ04 0.5621088 0.0057831 97.199 < 2e-16 ***
ORIGIN_SZJWSZ05 -1.5744341 0.0146904 -107.174 < 2e-16 ***
ORIGIN_SZJWSZ06 -0.9113320 0.0126913 -71.807 < 2e-16 ***
ORIGIN_SZJWSZ07 -2.3083419 0.0357843 -64.507 < 2e-16 ***
ORIGIN_SZJWSZ08 2.0114225 0.0047956 419.429 < 2e-16 ***
ORIGIN_SZJWSZ09 1.9086705 0.0045255 421.759 < 2e-16 ***
ORIGIN_SZKLSZ01 0.2743166 0.0056908 48.204 < 2e-16 ***
ORIGIN_SZKLSZ02 -0.6443386 0.0074521 -86.463 < 2e-16 ***
ORIGIN_SZKLSZ03 -0.3990113 0.0067213 -59.366 < 2e-16 ***
ORIGIN_SZKLSZ04 -2.1413876 0.0138405 -154.719 < 2e-16 ***
ORIGIN_SZKLSZ05 -1.0913697 0.0121512 -89.816 < 2e-16 ***
ORIGIN_SZKLSZ06 -5.6240764 0.1857405 -30.279 < 2e-16 ***
ORIGIN_SZKLSZ07 -1.1885897 0.0096830 -122.750 < 2e-16 ***
ORIGIN_SZKLSZ08 -1.7018593 0.0114317 -148.872 < 2e-16 ***
ORIGIN_SZLKSZ01 -1.6659670 0.0446420 -37.318 < 2e-16 ***
ORIGIN_SZMDSZ01 -1.1210505 0.0318834 -35.161 < 2e-16 ***
ORIGIN_SZMDSZ02 -0.5096299 0.0116645 -43.691 < 2e-16 ***
ORIGIN_SZMDSZ03 -1.9187039 0.0198291 -96.762 < 2e-16 ***
ORIGIN_SZMPSZ01 -0.5260512 0.0094201 -55.844 < 2e-16 ***
ORIGIN_SZMPSZ02 -0.2905084 0.0077974 -37.257 < 2e-16 ***
ORIGIN_SZMPSZ03 0.3342293 0.0063715 52.457 < 2e-16 ***
ORIGIN_SZMUSZ02 -3.8337096 0.1105053 -34.693 < 2e-16 ***
ORIGIN_SZNTSZ01 -2.9845040 0.0397028 -75.171 < 2e-16 ***
ORIGIN_SZNTSZ02 -3.1812985 0.0249470 -127.522 < 2e-16 ***
ORIGIN_SZNTSZ03 -0.9742991 0.0085424 -114.054 < 2e-16 ***
ORIGIN_SZNTSZ05 -4.2086932 0.0579737 -72.597 < 2e-16 ***
ORIGIN_SZNTSZ06 -4.5831822 0.0583494 -78.547 < 2e-16 ***
ORIGIN_SZNVSZ01 0.3186962 0.0052944 60.195 < 2e-16 ***
ORIGIN_SZNVSZ02 -0.5321136 0.0073747 -72.154 < 2e-16 ***
ORIGIN_SZNVSZ03 -0.9911852 0.0090560 -109.451 < 2e-16 ***
ORIGIN_SZNVSZ04 -0.8329721 0.0099590 -83.640 < 2e-16 ***
ORIGIN_SZNVSZ05 -2.1460777 0.0182401 -117.657 < 2e-16 ***
ORIGIN_SZPGSZ01 -0.5604078 0.0151515 -36.987 < 2e-16 ***
ORIGIN_SZPGSZ02 -0.4025139 0.0085135 -47.279 < 2e-16 ***
ORIGIN_SZPGSZ03 0.6975483 0.0055534 125.608 < 2e-16 ***
ORIGIN_SZPGSZ04 1.2175486 0.0051080 238.363 < 2e-16 ***
ORIGIN_SZPGSZ05 0.3895354 0.0069851 55.767 < 2e-16 ***
ORIGIN_SZPLSZ01 -0.5572701 0.0134473 -41.441 < 2e-16 ***
ORIGIN_SZPLSZ02 -0.9854214 0.0172337 -57.180 < 2e-16 ***
ORIGIN_SZPLSZ03 -1.6991954 0.0472629 -35.952 < 2e-16 ***
ORIGIN_SZPLSZ04 -2.2000217 0.0373580 -58.890 < 2e-16 ***
ORIGIN_SZPLSZ05 -1.7086663 0.0260920 -65.486 < 2e-16 ***
ORIGIN_SZPNSZ01 1.5292867 0.0055102 277.535 < 2e-16 ***
ORIGIN_SZPNSZ02 0.7457519 0.0127815 58.346 < 2e-16 ***
ORIGIN_SZPNSZ03 -1.3659046 0.0216180 -63.184 < 2e-16 ***
ORIGIN_SZPNSZ04 -2.0025379 0.0360655 -55.525 < 2e-16 ***
ORIGIN_SZPNSZ05 -0.9157959 0.0320955 -28.533 < 2e-16 ***
ORIGIN_SZPRSZ01 0.0522611 0.0139142 3.756 0.000173 ***
ORIGIN_SZPRSZ02 1.3063371 0.0053809 242.774 < 2e-16 ***
ORIGIN_SZPRSZ03 0.9963670 0.0054293 183.516 < 2e-16 ***
ORIGIN_SZPRSZ04 -0.0300950 0.0088010 -3.419 0.000627 ***
ORIGIN_SZPRSZ05 1.6840313 0.0050839 331.245 < 2e-16 ***
ORIGIN_SZPRSZ06 -0.8277202 0.0131296 -63.042 < 2e-16 ***
ORIGIN_SZPRSZ07 -2.1698449 0.0177362 -122.340 < 2e-16 ***
ORIGIN_SZPRSZ08 0.4559353 0.0072609 62.793 < 2e-16 ***
ORIGIN_SZQTSZ01 -0.3517047 0.0078770 -44.650 < 2e-16 ***
ORIGIN_SZQTSZ02 -0.8199353 0.0071544 -114.605 < 2e-16 ***
ORIGIN_SZQTSZ03 -0.2457614 0.0065555 -37.490 < 2e-16 ***
ORIGIN_SZQTSZ04 -1.2216614 0.0084050 -145.349 < 2e-16 ***
ORIGIN_SZQTSZ05 -0.7219952 0.0072360 -99.778 < 2e-16 ***
ORIGIN_SZQTSZ06 -0.6729363 0.0076658 -87.784 < 2e-16 ***
ORIGIN_SZQTSZ07 -1.4497690 0.0109365 -132.563 < 2e-16 ***
ORIGIN_SZQTSZ08 -0.2770151 0.0070193 -39.465 < 2e-16 ***
ORIGIN_SZQTSZ09 -0.6157554 0.0078739 -78.202 < 2e-16 ***
ORIGIN_SZQTSZ10 -0.3091547 0.0075471 -40.963 < 2e-16 ***
ORIGIN_SZQTSZ11 -1.9698881 0.0151247 -130.243 < 2e-16 ***
ORIGIN_SZQTSZ12 -2.6449643 0.0205857 -128.485 < 2e-16 ***
ORIGIN_SZQTSZ13 -0.3754107 0.0088433 -42.452 < 2e-16 ***
ORIGIN_SZQTSZ14 -1.6537473 0.0134378 -123.067 < 2e-16 ***
ORIGIN_SZQTSZ15 -0.3435351 0.0131956 -26.034 < 2e-16 ***
ORIGIN_SZRCSZ01 -1.7104390 0.0141179 -121.154 < 2e-16 ***
ORIGIN_SZRCSZ06 -1.1250727 0.0094909 -118.542 < 2e-16 ***
ORIGIN_SZRVSZ01 -3.0220116 0.0339694 -88.963 < 2e-16 ***
ORIGIN_SZRVSZ02 -3.6040075 0.0297641 -121.086 < 2e-16 ***
ORIGIN_SZRVSZ03 -3.2345594 0.0259149 -124.814 < 2e-16 ***
ORIGIN_SZRVSZ04 -3.6900313 0.0575908 -64.073 < 2e-16 ***
ORIGIN_SZRVSZ05 -2.9527570 0.0178582 -165.344 < 2e-16 ***
ORIGIN_SZSBSZ01 0.0238445 0.0078563 3.035 0.002405 **
ORIGIN_SZSBSZ02 -0.5780602 0.0093054 -62.121 < 2e-16 ***
ORIGIN_SZSBSZ03 0.8961719 0.0054586 164.175 < 2e-16 ***
ORIGIN_SZSBSZ04 0.8421798 0.0061888 136.080 < 2e-16 ***
ORIGIN_SZSBSZ05 -0.1682984 0.0078342 -21.482 < 2e-16 ***
ORIGIN_SZSBSZ06 -1.1482701 0.0196421 -58.460 < 2e-16 ***
ORIGIN_SZSBSZ07 -0.8830317 0.0160709 -54.946 < 2e-16 ***
ORIGIN_SZSBSZ08 -1.1039492 0.0174602 -63.226 < 2e-16 ***
ORIGIN_SZSBSZ09 -0.5946691 0.0101961 -58.323 < 2e-16 ***
ORIGIN_SZSESZ02 1.1144933 0.0050948 218.749 < 2e-16 ***
ORIGIN_SZSESZ03 1.1058963 0.0049026 225.574 < 2e-16 ***
ORIGIN_SZSESZ04 0.7427975 0.0056948 130.433 < 2e-16 ***
ORIGIN_SZSESZ05 -0.2812684 0.0069596 -40.414 < 2e-16 ***
ORIGIN_SZSESZ06 0.8168315 0.0055800 146.387 < 2e-16 ***
ORIGIN_SZSESZ07 -2.2842043 0.0231232 -98.784 < 2e-16 ***
ORIGIN_SZSGSZ01 -0.7313790 0.0098957 -73.909 < 2e-16 ***
ORIGIN_SZSGSZ02 -1.1185406 0.0110919 -100.843 < 2e-16 ***
ORIGIN_SZSGSZ03 0.1752618 0.0060508 28.965 < 2e-16 ***
ORIGIN_SZSGSZ04 0.3764395 0.0056165 67.023 < 2e-16 ***
ORIGIN_SZSGSZ05 -1.7203916 0.0118945 -144.637 < 2e-16 ***
ORIGIN_SZSGSZ06 0.4630857 0.0052886 87.563 < 2e-16 ***
ORIGIN_SZSGSZ07 -0.7051233 0.0073133 -96.417 < 2e-16 ***
ORIGIN_SZSKSZ01 0.2053928 0.0100710 20.395 < 2e-16 ***
ORIGIN_SZSKSZ02 1.2630428 0.0063490 198.935 < 2e-16 ***
ORIGIN_SZSKSZ03 -0.3035297 0.0096788 -31.360 < 2e-16 ***
ORIGIN_SZSKSZ04 -1.7952886 0.0359225 -49.977 < 2e-16 ***
ORIGIN_SZSKSZ05 -0.3836861 0.0176686 -21.716 < 2e-16 ***
ORIGIN_SZSLSZ01 -2.5916326 0.0348001 -74.472 < 2e-16 ***
ORIGIN_SZSLSZ04 -0.2251549 0.0088517 -25.436 < 2e-16 ***
ORIGIN_SZSRSZ01 -2.9590365 0.0173638 -170.414 < 2e-16 ***
ORIGIN_SZTHSZ01 -1.9639893 0.0570321 -34.437 < 2e-16 ***
ORIGIN_SZTHSZ03 -1.7281304 0.0272797 -63.349 < 2e-16 ***
ORIGIN_SZTHSZ04 -2.7837906 0.0343179 -81.118 < 2e-16 ***
ORIGIN_SZTHSZ06 -2.1800693 0.0205491 -106.091 < 2e-16 ***
ORIGIN_SZTMSZ01 0.8228136 0.0066824 123.131 < 2e-16 ***
ORIGIN_SZTMSZ02 2.3174781 0.0044978 515.243 < 2e-16 ***
ORIGIN_SZTMSZ03 1.7061757 0.0048615 350.957 < 2e-16 ***
ORIGIN_SZTMSZ04 1.2407899 0.0058389 212.504 < 2e-16 ***
ORIGIN_SZTMSZ05 -0.1000526 0.0124079 -8.064 7.41e-16 ***
ORIGIN_SZTNSZ01 -2.0347519 0.0139596 -145.760 < 2e-16 ***
ORIGIN_SZTNSZ02 -1.8682671 0.0107901 -173.146 < 2e-16 ***
ORIGIN_SZTNSZ03 -2.1737183 0.0146759 -148.115 < 2e-16 ***
ORIGIN_SZTNSZ04 -0.5006452 0.0081501 -61.428 < 2e-16 ***
ORIGIN_SZTPSZ01 -0.6722487 0.0075606 -88.914 < 2e-16 ***
ORIGIN_SZTPSZ02 0.4552916 0.0050191 90.711 < 2e-16 ***
ORIGIN_SZTPSZ03 -0.7865781 0.0072250 -108.869 < 2e-16 ***
ORIGIN_SZTPSZ04 -0.7049044 0.0066456 -106.071 < 2e-16 ***
ORIGIN_SZTPSZ05 -0.5574925 0.0070366 -79.227 < 2e-16 ***
ORIGIN_SZTPSZ06 -0.4247282 0.0068709 -61.815 < 2e-16 ***
ORIGIN_SZTPSZ07 -0.2846984 0.0071030 -40.081 < 2e-16 ***
ORIGIN_SZTPSZ08 -1.0898051 0.0110046 -99.031 < 2e-16 ***
ORIGIN_SZTPSZ09 -0.8092746 0.0079160 -102.232 < 2e-16 ***
ORIGIN_SZTPSZ10 -0.9332072 0.0086809 -107.502 < 2e-16 ***
ORIGIN_SZTPSZ11 -0.0421981 0.0064343 -6.558 5.44e-11 ***
ORIGIN_SZTPSZ12 -0.6330081 0.0078324 -80.819 < 2e-16 ***
ORIGIN_SZTSSZ01 -1.7650409 0.0517357 -34.116 < 2e-16 ***
ORIGIN_SZTSSZ02 1.1707267 0.0094178 124.310 < 2e-16 ***
ORIGIN_SZTSSZ03 0.6581679 0.0095894 68.635 < 2e-16 ***
ORIGIN_SZTSSZ04 0.8736493 0.0104965 83.233 < 2e-16 ***
ORIGIN_SZTSSZ05 0.0957248 0.0178709 5.356 8.49e-08 ***
ORIGIN_SZTSSZ06 1.7581609 0.0206810 85.013 < 2e-16 ***
ORIGIN_SZWCSZ01 0.8097950 0.0105622 76.669 < 2e-16 ***
ORIGIN_SZWCSZ02 -1.9966163 0.0345747 -57.748 < 2e-16 ***
ORIGIN_SZWCSZ03 -5.0687420 0.1474971 -34.365 < 2e-16 ***
ORIGIN_SZWDSZ01 1.4926003 0.0047216 316.124 < 2e-16 ***
ORIGIN_SZWDSZ02 0.9916597 0.0055755 177.859 < 2e-16 ***
ORIGIN_SZWDSZ03 1.5918065 0.0052180 305.062 < 2e-16 ***
ORIGIN_SZWDSZ04 1.3717152 0.0060516 226.669 < 2e-16 ***
ORIGIN_SZWDSZ05 0.6700111 0.0062287 107.569 < 2e-16 ***
ORIGIN_SZWDSZ06 0.8115996 0.0060947 133.165 < 2e-16 ***
ORIGIN_SZWDSZ07 -0.6488914 0.0093567 -69.351 < 2e-16 ***
ORIGIN_SZWDSZ08 -0.3610234 0.0096440 -37.435 < 2e-16 ***
ORIGIN_SZWDSZ09 1.4445461 0.0052279 276.317 < 2e-16 ***
ORIGIN_SZYSSZ01 -0.2039272 0.0069548 -29.322 < 2e-16 ***
ORIGIN_SZYSSZ02 0.8707707 0.0058957 147.697 < 2e-16 ***
ORIGIN_SZYSSZ03 1.8348842 0.0050377 364.231 < 2e-16 ***
ORIGIN_SZYSSZ04 1.0780641 0.0052960 203.564 < 2e-16 ***
ORIGIN_SZYSSZ05 0.3222765 0.0069700 46.237 < 2e-16 ***
ORIGIN_SZYSSZ06 -0.4424689 0.0124866 -35.435 < 2e-16 ***
ORIGIN_SZYSSZ07 -1.0267883 0.0155821 -65.895 < 2e-16 ***
ORIGIN_SZYSSZ08 0.1833117 0.0070935 25.842 < 2e-16 ***
ORIGIN_SZYSSZ09 1.0766070 0.0050451 213.396 < 2e-16 ***
log(DESTIN_AGE25_64) 0.0295428 0.0001051 280.998 < 2e-16 ***
log(dist) -1.7024691 0.0004625 -3681.042 < 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: 36117615 on 14273 degrees of freedom
Residual deviance: 12983718 on 13993 degrees of freedom
AIC: 13068835
Number of Fisher Scoring iterations: 6CalcRSquared(orcSIM$data$TRIPS, orcSIM$fitted.values)[1] 0.40291159.7 Destination Constrained
decSIM <- glm(formula = TRIPS ~
DESTIN_SZ +
log(ORIGIN_AGE25_64) +
log(dist),
family = poisson(link = "log"),
data = SIM_data,
na.action = na.exclude)
summary(decSIM)
Call:
glm(formula = TRIPS ~ DESTIN_SZ + log(ORIGIN_AGE25_64) + log(dist),
family = poisson(link = "log"), data = SIM_data, na.action = na.exclude)
Deviance Residuals:
Min 1Q Median 3Q Max
-189.20 -15.64 -7.08 1.55 379.03
Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept) 19.4822997 0.0050784 3836.298 < 2e-16 ***
DESTIN_SZAMSZ02 0.1263056 0.0049743 25.392 < 2e-16 ***
DESTIN_SZAMSZ03 0.0421788 0.0049859 8.460 < 2e-16 ***
DESTIN_SZAMSZ04 -1.1668479 0.0074254 -157.143 < 2e-16 ***
DESTIN_SZAMSZ05 -1.2586639 0.0075854 -165.931 < 2e-16 ***
DESTIN_SZAMSZ06 -1.1414791 0.0073474 -155.359 < 2e-16 ***
DESTIN_SZAMSZ07 -1.5565804 0.0109476 -142.185 < 2e-16 ***
DESTIN_SZAMSZ08 -0.3990754 0.0074159 -53.813 < 2e-16 ***
DESTIN_SZAMSZ09 -1.0109118 0.0076802 -131.626 < 2e-16 ***
DESTIN_SZAMSZ10 0.0159285 0.0051765 3.077 0.00209 **
DESTIN_SZAMSZ11 -0.3653273 0.0094866 -38.510 < 2e-16 ***
DESTIN_SZAMSZ12 0.5297606 0.0053243 99.500 < 2e-16 ***
DESTIN_SZBDSZ01 1.0394822 0.0044226 235.037 < 2e-16 ***
DESTIN_SZBDSZ02 0.1956964 0.0059564 32.855 < 2e-16 ***
DESTIN_SZBDSZ03 0.3209267 0.0053718 59.742 < 2e-16 ***
DESTIN_SZBDSZ04 1.2429874 0.0043104 288.370 < 2e-16 ***
DESTIN_SZBDSZ05 0.8535842 0.0046360 184.122 < 2e-16 ***
DESTIN_SZBDSZ06 0.5181443 0.0053736 96.423 < 2e-16 ***
DESTIN_SZBDSZ07 -0.5849371 0.0110468 -52.951 < 2e-16 ***
DESTIN_SZBDSZ08 -1.2871050 0.0128623 -100.068 < 2e-16 ***
DESTIN_SZBKSZ01 -1.0633560 0.0077771 -136.730 < 2e-16 ***
DESTIN_SZBKSZ02 -0.4065316 0.0066712 -60.938 < 2e-16 ***
DESTIN_SZBKSZ03 -0.6815674 0.0066509 -102.477 < 2e-16 ***
DESTIN_SZBKSZ04 -0.4185485 0.0058306 -71.785 < 2e-16 ***
DESTIN_SZBKSZ05 -0.8887654 0.0073867 -120.319 < 2e-16 ***
DESTIN_SZBKSZ06 -0.9436078 0.0068625 -137.501 < 2e-16 ***
DESTIN_SZBKSZ07 -0.0067325 0.0048408 -1.391 0.16430
DESTIN_SZBKSZ08 -1.2680903 0.0079177 -160.160 < 2e-16 ***
DESTIN_SZBKSZ09 -0.0350151 0.0054287 -6.450 1.12e-10 ***
DESTIN_SZBLSZ01 -0.3045203 0.0081978 -37.146 < 2e-16 ***
DESTIN_SZBLSZ02 0.6432424 0.0074449 86.400 < 2e-16 ***
DESTIN_SZBLSZ03 1.9595113 0.0084705 231.333 < 2e-16 ***
DESTIN_SZBLSZ04 0.0149756 0.0172081 0.870 0.38415
DESTIN_SZBMSZ01 -0.0378127 0.0055294 -6.838 8.00e-12 ***
DESTIN_SZBMSZ02 -0.8458055 0.0054043 -156.505 < 2e-16 ***
DESTIN_SZBMSZ03 -1.1334399 0.0063720 -177.878 < 2e-16 ***
DESTIN_SZBMSZ04 -1.1164759 0.0057743 -193.353 < 2e-16 ***
DESTIN_SZBMSZ05 -1.1078742 0.0078703 -140.766 < 2e-16 ***
DESTIN_SZBMSZ06 -2.2787234 0.0155126 -146.895 < 2e-16 ***
DESTIN_SZBMSZ07 -0.2739089 0.0051924 -52.752 < 2e-16 ***
DESTIN_SZBMSZ08 -1.6825978 0.0071842 -234.209 < 2e-16 ***
DESTIN_SZBMSZ09 -3.0047801 0.0159980 -187.823 < 2e-16 ***
DESTIN_SZBMSZ10 -2.2232689 0.0096907 -229.423 < 2e-16 ***
DESTIN_SZBMSZ11 -1.9657136 0.0086445 -227.394 < 2e-16 ***
DESTIN_SZBMSZ12 -1.5359286 0.0089658 -171.310 < 2e-16 ***
DESTIN_SZBMSZ13 -0.5657561 0.0059960 -94.355 < 2e-16 ***
DESTIN_SZBMSZ14 -1.6904858 0.0084858 -199.214 < 2e-16 ***
DESTIN_SZBMSZ15 -1.5268383 0.0079959 -190.953 < 2e-16 ***
DESTIN_SZBMSZ16 -2.2045600 0.0130872 -168.452 < 2e-16 ***
DESTIN_SZBMSZ17 -2.2992381 0.0184895 -124.353 < 2e-16 ***
DESTIN_SZBPSZ01 -0.8549497 0.0065168 -131.191 < 2e-16 ***
DESTIN_SZBPSZ02 -1.7470549 0.0095751 -182.457 < 2e-16 ***
DESTIN_SZBPSZ03 -1.4015145 0.0090888 -154.203 < 2e-16 ***
DESTIN_SZBPSZ04 -0.5250632 0.0066496 -78.962 < 2e-16 ***
DESTIN_SZBPSZ05 0.3413171 0.0046404 73.553 < 2e-16 ***
DESTIN_SZBPSZ06 -0.8569188 0.0090795 -94.380 < 2e-16 ***
DESTIN_SZBPSZ07 -0.0751284 0.0089704 -8.375 < 2e-16 ***
DESTIN_SZBSSZ01 0.1015228 0.0055735 18.215 < 2e-16 ***
DESTIN_SZBSSZ02 -0.7066412 0.0063845 -110.682 < 2e-16 ***
DESTIN_SZBSSZ03 0.1622730 0.0046689 34.756 < 2e-16 ***
DESTIN_SZBTSZ01 0.5470615 0.0047984 114.009 < 2e-16 ***
DESTIN_SZBTSZ02 -0.1393371 0.0078266 -17.803 < 2e-16 ***
DESTIN_SZBTSZ03 0.1474771 0.0059428 24.816 < 2e-16 ***
DESTIN_SZBTSZ04 -1.2857827 0.0122000 -105.392 < 2e-16 ***
DESTIN_SZBTSZ05 -0.2629188 0.0081769 -32.154 < 2e-16 ***
DESTIN_SZBTSZ06 -0.8319920 0.0081401 -102.209 < 2e-16 ***
DESTIN_SZBTSZ07 -1.8829448 0.0121227 -155.324 < 2e-16 ***
DESTIN_SZBTSZ08 -1.5732123 0.0116752 -134.748 < 2e-16 ***
DESTIN_SZCBSZ01 -3.5334327 0.3333510 -10.600 < 2e-16 ***
DESTIN_SZCCSZ01 -0.2129306 0.0093782 -22.705 < 2e-16 ***
DESTIN_SZCHSZ01 -0.1494972 0.0113078 -13.221 < 2e-16 ***
DESTIN_SZCHSZ02 0.0041774 0.0063195 0.661 0.50860
DESTIN_SZCHSZ03 2.5565450 0.0046495 549.857 < 2e-16 ***
DESTIN_SZCKSZ01 0.0489719 0.0053801 9.102 < 2e-16 ***
DESTIN_SZCKSZ02 -0.3548993 0.0060671 -58.496 < 2e-16 ***
DESTIN_SZCKSZ03 0.5386351 0.0044913 119.928 < 2e-16 ***
DESTIN_SZCKSZ04 -0.4425512 0.0073837 -59.936 < 2e-16 ***
DESTIN_SZCKSZ05 -0.4092591 0.0077267 -52.967 < 2e-16 ***
DESTIN_SZCKSZ06 0.2207041 0.0074252 29.724 < 2e-16 ***
DESTIN_SZCLSZ01 0.2851460 0.0052362 54.457 < 2e-16 ***
DESTIN_SZCLSZ02 -1.9270528 0.0147688 -130.482 < 2e-16 ***
DESTIN_SZCLSZ03 -0.6266521 0.0086780 -72.212 < 2e-16 ***
DESTIN_SZCLSZ04 -0.1335581 0.0054216 -24.634 < 2e-16 ***
DESTIN_SZCLSZ05 -0.8912963 0.0096015 -92.829 < 2e-16 ***
DESTIN_SZCLSZ06 0.1781234 0.0048150 36.993 < 2e-16 ***
DESTIN_SZCLSZ07 -0.5609619 0.0062277 -90.075 < 2e-16 ***
DESTIN_SZCLSZ08 -0.3875308 0.0068390 -56.665 < 2e-16 ***
DESTIN_SZCLSZ09 0.2539453 0.0072623 34.968 < 2e-16 ***
DESTIN_SZDTSZ02 -2.5036295 0.0373421 -67.046 < 2e-16 ***
DESTIN_SZDTSZ03 -0.8956407 0.0149971 -59.721 < 2e-16 ***
DESTIN_SZDTSZ13 -1.6562176 0.0175441 -94.403 < 2e-16 ***
DESTIN_SZGLSZ01 -0.2716152 0.0056553 -48.029 < 2e-16 ***
DESTIN_SZGLSZ02 -0.1735665 0.0055548 -31.246 < 2e-16 ***
DESTIN_SZGLSZ03 0.7029507 0.0044934 156.441 < 2e-16 ***
DESTIN_SZGLSZ04 0.5788027 0.0045449 127.351 < 2e-16 ***
DESTIN_SZGLSZ05 0.6865291 0.0045131 152.118 < 2e-16 ***
DESTIN_SZHGSZ01 0.3275950 0.0043866 74.681 < 2e-16 ***
DESTIN_SZHGSZ02 -0.6326974 0.0063517 -99.610 < 2e-16 ***
DESTIN_SZHGSZ03 -1.0597982 0.0073914 -143.382 < 2e-16 ***
DESTIN_SZHGSZ04 -0.2267013 0.0052178 -43.448 < 2e-16 ***
DESTIN_SZHGSZ05 -0.3063050 0.0055452 -55.238 < 2e-16 ***
DESTIN_SZHGSZ06 -0.7483961 0.0065544 -114.182 < 2e-16 ***
DESTIN_SZHGSZ07 0.1096958 0.0051309 21.379 < 2e-16 ***
DESTIN_SZHGSZ08 -0.1374201 0.0056692 -24.240 < 2e-16 ***
DESTIN_SZHGSZ09 0.0775400 0.0060230 12.874 < 2e-16 ***
DESTIN_SZHGSZ10 -3.3017475 0.0289292 -114.132 < 2e-16 ***
DESTIN_SZJESZ01 -0.0489065 0.0057246 -8.543 < 2e-16 ***
DESTIN_SZJESZ02 -0.5101614 0.0060074 -84.921 < 2e-16 ***
DESTIN_SZJESZ03 -0.5328921 0.0064129 -83.097 < 2e-16 ***
DESTIN_SZJESZ04 -0.7348953 0.0082249 -89.351 < 2e-16 ***
DESTIN_SZJESZ05 -1.0864570 0.0111740 -97.231 < 2e-16 ***
DESTIN_SZJESZ06 0.2407920 0.0046801 51.451 < 2e-16 ***
DESTIN_SZJESZ07 -1.1523093 0.0090103 -127.888 < 2e-16 ***
DESTIN_SZJESZ08 -0.4627356 0.0094529 -48.952 < 2e-16 ***
DESTIN_SZJESZ09 0.0528616 0.0068126 7.759 8.53e-15 ***
DESTIN_SZJESZ10 1.0240660 0.0084045 121.848 < 2e-16 ***
DESTIN_SZJESZ11 0.7875517 0.0076251 103.284 < 2e-16 ***
DESTIN_SZJWSZ01 -0.1533418 0.0076198 -20.124 < 2e-16 ***
DESTIN_SZJWSZ02 -0.0011019 0.0059389 -0.186 0.85280
DESTIN_SZJWSZ03 0.9063789 0.0046747 193.892 < 2e-16 ***
DESTIN_SZJWSZ04 0.7019286 0.0049743 141.112 < 2e-16 ***
DESTIN_SZJWSZ05 -0.5197057 0.0072971 -71.220 < 2e-16 ***
DESTIN_SZJWSZ06 0.3350986 0.0061171 54.780 < 2e-16 ***
DESTIN_SZJWSZ07 -0.5961960 0.0328336 -18.158 < 2e-16 ***
DESTIN_SZJWSZ08 0.8054662 0.0056006 143.819 < 2e-16 ***
DESTIN_SZJWSZ09 1.5860146 0.0040282 393.723 < 2e-16 ***
DESTIN_SZKLSZ01 -0.6500838 0.0063560 -102.279 < 2e-16 ***
DESTIN_SZKLSZ02 -0.7039434 0.0064465 -109.197 < 2e-16 ***
DESTIN_SZKLSZ03 -1.1972384 0.0075577 -158.413 < 2e-16 ***
DESTIN_SZKLSZ04 -1.7172228 0.0097573 -175.993 < 2e-16 ***
DESTIN_SZKLSZ05 -0.6042386 0.0093730 -64.466 < 2e-16 ***
DESTIN_SZKLSZ06 -3.0201496 0.0389503 -77.539 < 2e-16 ***
DESTIN_SZKLSZ07 -1.1522413 0.0076607 -150.409 < 2e-16 ***
DESTIN_SZKLSZ08 -0.6977825 0.0057610 -121.122 < 2e-16 ***
DESTIN_SZLKSZ01 -0.6895952 0.0268661 -25.668 < 2e-16 ***
DESTIN_SZMDSZ01 -0.7155951 0.0228203 -31.358 < 2e-16 ***
DESTIN_SZMDSZ02 -0.8153643 0.0123003 -66.288 < 2e-16 ***
DESTIN_SZMDSZ03 -2.7745226 0.0301326 -92.077 < 2e-16 ***
DESTIN_SZMPSZ01 -0.5492095 0.0087198 -62.984 < 2e-16 ***
DESTIN_SZMPSZ02 -0.6104744 0.0069346 -88.033 < 2e-16 ***
DESTIN_SZMPSZ03 0.2775047 0.0054964 50.489 < 2e-16 ***
DESTIN_SZMUSZ02 -2.6322870 0.0214943 -122.464 < 2e-16 ***
DESTIN_SZNTSZ01 -4.0762008 0.0531046 -76.758 < 2e-16 ***
DESTIN_SZNTSZ02 -1.9765545 0.0125659 -157.296 < 2e-16 ***
DESTIN_SZNTSZ03 -1.4563069 0.0085433 -170.462 < 2e-16 ***
DESTIN_SZNTSZ05 -2.0125598 0.0270737 -74.336 < 2e-16 ***
DESTIN_SZNTSZ06 -3.0145357 0.0504986 -59.695 < 2e-16 ***
DESTIN_SZNVSZ01 -0.4693625 0.0053866 -87.135 < 2e-16 ***
DESTIN_SZNVSZ02 -0.4525631 0.0060428 -74.894 < 2e-16 ***
DESTIN_SZNVSZ03 -0.4821492 0.0064725 -74.492 < 2e-16 ***
DESTIN_SZNVSZ04 -1.8929756 0.0128397 -147.432 < 2e-16 ***
DESTIN_SZNVSZ05 -1.4501752 0.0099737 -145.400 < 2e-16 ***
DESTIN_SZPGSZ01 -1.2305867 0.0174321 -70.593 < 2e-16 ***
DESTIN_SZPGSZ02 -0.8232919 0.0080153 -102.715 < 2e-16 ***
DESTIN_SZPGSZ03 0.2138480 0.0050850 42.054 < 2e-16 ***
DESTIN_SZPGSZ04 0.1045757 0.0053579 19.518 < 2e-16 ***
DESTIN_SZPGSZ05 -0.7542450 0.0088883 -84.858 < 2e-16 ***
DESTIN_SZPLSZ01 -0.0098642 0.0080428 -1.226 0.22003
DESTIN_SZPLSZ02 -1.2630412 0.0152594 -82.771 < 2e-16 ***
DESTIN_SZPLSZ03 -0.1554479 0.0108611 -14.312 < 2e-16 ***
DESTIN_SZPLSZ04 -1.5505819 0.0114768 -135.105 < 2e-16 ***
DESTIN_SZPLSZ05 -0.2417805 0.0130391 -18.543 < 2e-16 ***
DESTIN_SZPNSZ01 0.7926715 0.0073628 107.659 < 2e-16 ***
DESTIN_SZPNSZ02 2.1914920 0.0073537 298.013 < 2e-16 ***
DESTIN_SZPNSZ03 1.0246845 0.0086874 117.951 < 2e-16 ***
DESTIN_SZPNSZ04 2.5522612 0.0091789 278.057 < 2e-16 ***
DESTIN_SZPNSZ05 1.7995301 0.0138562 129.872 < 2e-16 ***
DESTIN_SZPRSZ01 -0.6576686 0.0096037 -68.481 < 2e-16 ***
DESTIN_SZPRSZ02 0.3113532 0.0059851 52.021 < 2e-16 ***
DESTIN_SZPRSZ03 0.9255296 0.0044779 206.687 < 2e-16 ***
DESTIN_SZPRSZ04 -0.0028578 0.0093218 -0.307 0.75917
DESTIN_SZPRSZ05 0.2457863 0.0058261 42.187 < 2e-16 ***
DESTIN_SZPRSZ06 0.3692137 0.0064542 57.205 < 2e-16 ***
DESTIN_SZPRSZ07 -1.6733306 0.0138440 -120.871 < 2e-16 ***
DESTIN_SZPRSZ08 -0.2221048 0.0074846 -29.675 < 2e-16 ***
DESTIN_SZQTSZ01 -1.0185488 0.0093179 -109.311 < 2e-16 ***
DESTIN_SZQTSZ02 -1.2802688 0.0081670 -156.761 < 2e-16 ***
DESTIN_SZQTSZ03 -1.3322708 0.0079106 -168.415 < 2e-16 ***
DESTIN_SZQTSZ04 -1.1803631 0.0077366 -152.568 < 2e-16 ***
DESTIN_SZQTSZ05 -1.2215818 0.0072829 -167.734 < 2e-16 ***
DESTIN_SZQTSZ06 -1.3213145 0.0074858 -176.509 < 2e-16 ***
DESTIN_SZQTSZ07 -1.6426306 0.0123347 -133.171 < 2e-16 ***
DESTIN_SZQTSZ08 -0.2224169 0.0058405 -38.082 < 2e-16 ***
DESTIN_SZQTSZ09 -0.8142678 0.0069796 -116.665 < 2e-16 ***
DESTIN_SZQTSZ10 -0.1090496 0.0062573 -17.428 < 2e-16 ***
DESTIN_SZQTSZ11 -0.0108951 0.0061145 -1.782 0.07477 .
DESTIN_SZQTSZ12 -0.8582515 0.0090243 -95.105 < 2e-16 ***
DESTIN_SZQTSZ13 0.1834409 0.0065231 28.122 < 2e-16 ***
DESTIN_SZQTSZ14 0.1994454 0.0073615 27.093 < 2e-16 ***
DESTIN_SZQTSZ15 0.6740197 0.0088699 75.990 < 2e-16 ***
DESTIN_SZRCSZ01 -0.7746427 0.0079375 -97.593 < 2e-16 ***
DESTIN_SZRCSZ06 -1.4394098 0.0209931 -68.566 < 2e-16 ***
DESTIN_SZRVSZ01 -2.6060495 0.0175759 -148.274 < 2e-16 ***
DESTIN_SZRVSZ02 -2.5823769 0.0354706 -72.803 < 2e-16 ***
DESTIN_SZRVSZ03 -2.5890601 0.0152644 -169.614 < 2e-16 ***
DESTIN_SZRVSZ04 -2.2277482 0.0165661 -134.477 < 2e-16 ***
DESTIN_SZRVSZ05 -3.8610445 0.0298251 -129.456 < 2e-16 ***
DESTIN_SZSBSZ01 -1.2035529 0.0103954 -115.777 < 2e-16 ***
DESTIN_SZSBSZ02 -1.0267199 0.0085239 -120.452 < 2e-16 ***
DESTIN_SZSBSZ03 0.5977382 0.0050336 118.750 < 2e-16 ***
DESTIN_SZSBSZ04 0.5362769 0.0060573 88.534 < 2e-16 ***
DESTIN_SZSBSZ05 -1.0440525 0.0089622 -116.495 < 2e-16 ***
DESTIN_SZSBSZ06 -1.3939595 0.0246679 -56.509 < 2e-16 ***
DESTIN_SZSBSZ07 0.1029116 0.0235414 4.372 1.23e-05 ***
DESTIN_SZSBSZ08 1.3564902 0.0060529 224.105 < 2e-16 ***
DESTIN_SZSBSZ09 0.4573712 0.0056585 80.829 < 2e-16 ***
DESTIN_SZSESZ02 -0.1553609 0.0056716 -27.393 < 2e-16 ***
DESTIN_SZSESZ03 0.5412776 0.0043801 123.576 < 2e-16 ***
DESTIN_SZSESZ04 -0.6382091 0.0065411 -97.568 < 2e-16 ***
DESTIN_SZSESZ05 -0.3332093 0.0055002 -60.581 < 2e-16 ***
DESTIN_SZSESZ06 -0.3085951 0.0072340 -42.659 < 2e-16 ***
DESTIN_SZSESZ07 -2.6237684 0.0245753 -106.764 < 2e-16 ***
DESTIN_SZSGSZ01 -0.1062372 0.0066634 -15.943 < 2e-16 ***
DESTIN_SZSGSZ02 -0.0475568 0.0058908 -8.073 6.85e-16 ***
DESTIN_SZSGSZ03 -0.2118402 0.0055056 -38.477 < 2e-16 ***
DESTIN_SZSGSZ04 -0.1099618 0.0054841 -20.051 < 2e-16 ***
DESTIN_SZSGSZ05 -2.1556963 0.0113821 -189.394 < 2e-16 ***
DESTIN_SZSGSZ06 0.4416352 0.0043842 100.734 < 2e-16 ***
DESTIN_SZSGSZ07 -0.3949335 0.0059250 -66.655 < 2e-16 ***
DESTIN_SZSISZ01 -1.2847094 0.0288610 -44.514 < 2e-16 ***
DESTIN_SZSKSZ01 0.3089834 0.0082924 37.261 < 2e-16 ***
DESTIN_SZSKSZ02 1.4139309 0.0059981 235.729 < 2e-16 ***
DESTIN_SZSKSZ03 0.2427688 0.0067373 36.034 < 2e-16 ***
DESTIN_SZSKSZ04 -0.2527488 0.0161286 -15.671 < 2e-16 ***
DESTIN_SZSKSZ05 0.6046051 0.0122766 49.249 < 2e-16 ***
DESTIN_SZSLSZ01 -0.3927387 0.0099790 -39.356 < 2e-16 ***
DESTIN_SZSLSZ04 -0.5942110 0.0086225 -68.914 < 2e-16 ***
DESTIN_SZSRSZ01 -2.6855766 0.0138707 -193.615 < 2e-16 ***
DESTIN_SZTHSZ01 -3.2750084 0.0402668 -81.333 < 2e-16 ***
DESTIN_SZTHSZ03 -1.7964408 0.0261810 -68.616 < 2e-16 ***
DESTIN_SZTHSZ04 -2.6323994 0.0241831 -108.853 < 2e-16 ***
DESTIN_SZTHSZ06 -1.9444390 0.0166052 -117.098 < 2e-16 ***
DESTIN_SZTMSZ01 0.3856054 0.0063086 61.123 < 2e-16 ***
DESTIN_SZTMSZ02 1.8586526 0.0039229 473.790 < 2e-16 ***
DESTIN_SZTMSZ03 1.2601385 0.0044018 286.278 < 2e-16 ***
DESTIN_SZTMSZ04 1.5884327 0.0043362 366.316 < 2e-16 ***
DESTIN_SZTMSZ05 1.0377553 0.0063271 164.018 < 2e-16 ***
DESTIN_SZTNSZ01 -0.9954275 0.0080345 -123.895 < 2e-16 ***
DESTIN_SZTNSZ02 -2.1032696 0.0109228 -192.557 < 2e-16 ***
DESTIN_SZTNSZ03 -2.0044892 0.0129215 -155.128 < 2e-16 ***
DESTIN_SZTNSZ04 -0.9750326 0.0081677 -119.377 < 2e-16 ***
DESTIN_SZTPSZ01 -0.7788383 0.0068769 -113.254 < 2e-16 ***
DESTIN_SZTPSZ02 0.2866080 0.0042843 66.898 < 2e-16 ***
DESTIN_SZTPSZ03 -0.8749841 0.0065470 -133.646 < 2e-16 ***
DESTIN_SZTPSZ04 -1.6852792 0.0081488 -206.812 < 2e-16 ***
DESTIN_SZTPSZ05 -1.3721346 0.0068230 -201.104 < 2e-16 ***
DESTIN_SZTPSZ06 -0.7832133 0.0069164 -113.239 < 2e-16 ***
DESTIN_SZTPSZ07 -2.3109126 0.0130830 -176.635 < 2e-16 ***
DESTIN_SZTPSZ08 -1.6406531 0.0104897 -156.406 < 2e-16 ***
DESTIN_SZTPSZ09 -0.5636273 0.0076848 -73.343 < 2e-16 ***
DESTIN_SZTPSZ10 -1.5640843 0.0099984 -156.433 < 2e-16 ***
DESTIN_SZTPSZ11 -0.3700482 0.0059834 -61.846 < 2e-16 ***
DESTIN_SZTPSZ12 -0.8828228 0.0072302 -122.102 < 2e-16 ***
DESTIN_SZTSSZ01 0.3529526 0.0221887 15.907 < 2e-16 ***
DESTIN_SZTSSZ02 1.0265792 0.0153515 66.871 < 2e-16 ***
DESTIN_SZTSSZ03 1.9647347 0.0092388 212.662 < 2e-16 ***
DESTIN_SZTSSZ04 1.8649836 0.0089976 207.275 < 2e-16 ***
DESTIN_SZTSSZ05 2.8437058 0.0085738 331.673 < 2e-16 ***
DESTIN_SZTSSZ06 3.4238870 0.0161304 212.263 < 2e-16 ***
DESTIN_SZWCSZ01 2.9550693 0.0051690 571.689 < 2e-16 ***
DESTIN_SZWCSZ02 -0.8214103 0.0129213 -63.570 < 2e-16 ***
DESTIN_SZWCSZ03 -1.7393427 0.0347472 -50.057 < 2e-16 ***
DESTIN_SZWDSZ01 1.3424417 0.0039957 335.972 < 2e-16 ***
DESTIN_SZWDSZ02 -0.2103694 0.0068601 -30.666 < 2e-16 ***
DESTIN_SZWDSZ03 0.8268551 0.0051363 160.983 < 2e-16 ***
DESTIN_SZWDSZ04 -0.0643997 0.0079076 -8.144 3.82e-16 ***
DESTIN_SZWDSZ05 0.0451985 0.0075732 5.968 2.40e-09 ***
DESTIN_SZWDSZ06 0.6981330 0.0051936 134.423 < 2e-16 ***
DESTIN_SZWDSZ07 -0.0403233 0.0067749 -5.952 2.65e-09 ***
DESTIN_SZWDSZ08 0.2850631 0.0069225 41.179 < 2e-16 ***
DESTIN_SZWDSZ09 1.3016106 0.0050365 258.433 < 2e-16 ***
DESTIN_SZYSSZ01 0.7598564 0.0044144 172.133 < 2e-16 ***
DESTIN_SZYSSZ02 0.2648061 0.0058239 45.469 < 2e-16 ***
DESTIN_SZYSSZ03 -0.0412163 0.0068337 -6.031 1.63e-09 ***
DESTIN_SZYSSZ04 -0.0561054 0.0060829 -9.223 < 2e-16 ***
DESTIN_SZYSSZ05 -0.9970159 0.0121827 -81.839 < 2e-16 ***
DESTIN_SZYSSZ06 -1.3808376 0.0125738 -109.819 < 2e-16 ***
DESTIN_SZYSSZ07 -0.7128364 0.0165296 -43.125 < 2e-16 ***
DESTIN_SZYSSZ08 0.9409510 0.0045886 205.064 < 2e-16 ***
DESTIN_SZYSSZ09 0.3738436 0.0047971 77.930 < 2e-16 ***
log(ORIGIN_AGE25_64) 0.1928847 0.0001667 1157.214 < 2e-16 ***
log(dist) -1.7828141 0.0004794 -3718.501 < 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: 36117615 on 14273 degrees of freedom
Residual deviance: 12319763 on 13992 degrees of freedom
AIC: 12404881
Number of Fisher Scoring iterations: 7CalcRSquared(decSIM$data$TRIPS, decSIM$fitted.values)[1] 0.4961669.8 Doubly Constrained
dbcSIM <- glm(formula = TRIPS ~
ORIGIN_SZ +
DESTIN_SZ +
log(dist),
family = poisson(link = "log"),
data = SIM_data,
na.action = na.exclude)
summary(dbcSIM)
Call:
glm(formula = TRIPS ~ ORIGIN_SZ + DESTIN_SZ + log(dist), family = poisson(link = "log"),
data = SIM_data, na.action = na.exclude)
Deviance Residuals:
Min 1Q Median 3Q Max
-159.373 -12.413 -4.694 2.892 270.252
Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept) 21.9587595 0.0066831 3285.715 < 2e-16 ***
ORIGIN_SZAMSZ02 0.4778050 0.0054127 88.275 < 2e-16 ***
ORIGIN_SZAMSZ03 0.2895973 0.0055517 52.163 < 2e-16 ***
ORIGIN_SZAMSZ04 -0.2628080 0.0060720 -43.282 < 2e-16 ***
ORIGIN_SZAMSZ05 -0.2631404 0.0069008 -38.132 < 2e-16 ***
ORIGIN_SZAMSZ06 0.1722337 0.0062028 27.767 < 2e-16 ***
ORIGIN_SZAMSZ07 -0.9883200 0.0111224 -88.859 < 2e-16 ***
ORIGIN_SZAMSZ08 -0.4052821 0.0104095 -38.934 < 2e-16 ***
ORIGIN_SZAMSZ09 0.0356290 0.0064816 5.497 3.86e-08 ***
ORIGIN_SZAMSZ10 0.4815569 0.0055521 86.735 < 2e-16 ***
ORIGIN_SZAMSZ11 -1.4440079 0.0146079 -98.851 < 2e-16 ***
ORIGIN_SZAMSZ12 -1.7862677 0.0128071 -139.475 < 2e-16 ***
ORIGIN_SZBDSZ01 0.8653749 0.0054381 159.132 < 2e-16 ***
ORIGIN_SZBDSZ02 0.0841000 0.0062834 13.385 < 2e-16 ***
ORIGIN_SZBDSZ03 0.3158343 0.0057510 54.918 < 2e-16 ***
ORIGIN_SZBDSZ04 1.4556701 0.0049986 291.215 < 2e-16 ***
ORIGIN_SZBDSZ05 0.6363125 0.0057193 111.257 < 2e-16 ***
ORIGIN_SZBDSZ06 0.6749341 0.0058650 115.078 < 2e-16 ***
ORIGIN_SZBDSZ07 -1.2176407 0.0113698 -107.095 < 2e-16 ***
ORIGIN_SZBDSZ08 -0.9803580 0.0105604 -92.833 < 2e-16 ***
ORIGIN_SZBKSZ01 -0.2919642 0.0080763 -36.151 < 2e-16 ***
ORIGIN_SZBKSZ02 0.4609570 0.0067997 67.791 < 2e-16 ***
ORIGIN_SZBKSZ03 0.6273448 0.0065989 95.068 < 2e-16 ***
ORIGIN_SZBKSZ04 -0.2499063 0.0076555 -32.644 < 2e-16 ***
ORIGIN_SZBKSZ05 -0.2628428 0.0078905 -33.311 < 2e-16 ***
ORIGIN_SZBKSZ06 -0.2174034 0.0075134 -28.936 < 2e-16 ***
ORIGIN_SZBKSZ07 0.7094093 0.0058574 121.114 < 2e-16 ***
ORIGIN_SZBKSZ08 -0.1614362 0.0067626 -23.872 < 2e-16 ***
ORIGIN_SZBKSZ09 -0.2739085 0.0072969 -37.537 < 2e-16 ***
ORIGIN_SZBLSZ01 -2.4281074 0.0181172 -134.022 < 2e-16 ***
ORIGIN_SZBLSZ02 -2.7305447 0.0219341 -124.489 < 2e-16 ***
ORIGIN_SZBLSZ03 -3.3071431 0.0540398 -61.198 < 2e-16 ***
ORIGIN_SZBLSZ04 -2.4550671 0.0263946 -93.014 < 2e-16 ***
ORIGIN_SZBMSZ01 0.1198976 0.0065964 18.176 < 2e-16 ***
ORIGIN_SZBMSZ02 -1.3908667 0.0083230 -167.112 < 2e-16 ***
ORIGIN_SZBMSZ03 -0.6999122 0.0069754 -100.339 < 2e-16 ***
ORIGIN_SZBMSZ04 -0.2691159 0.0066184 -40.662 < 2e-16 ***
ORIGIN_SZBMSZ05 -2.6163780 0.0190989 -136.991 < 2e-16 ***
ORIGIN_SZBMSZ06 -2.9729956 0.0197182 -150.774 < 2e-16 ***
ORIGIN_SZBMSZ07 -0.7309916 0.0072407 -100.956 < 2e-16 ***
ORIGIN_SZBMSZ08 -1.0019514 0.0073169 -136.936 < 2e-16 ***
ORIGIN_SZBMSZ09 -1.3667460 0.0105325 -129.764 < 2e-16 ***
ORIGIN_SZBMSZ10 -1.6907268 0.0106687 -158.476 < 2e-16 ***
ORIGIN_SZBMSZ11 -1.2288802 0.0082919 -148.202 < 2e-16 ***
ORIGIN_SZBMSZ12 -1.6517767 0.0115101 -143.507 < 2e-16 ***
ORIGIN_SZBMSZ13 -0.7251351 0.0075289 -96.314 < 2e-16 ***
ORIGIN_SZBMSZ14 -1.1534912 0.0082629 -139.599 < 2e-16 ***
ORIGIN_SZBMSZ15 -0.5476774 0.0075710 -72.339 < 2e-16 ***
ORIGIN_SZBMSZ16 -1.5195034 0.0111459 -136.329 < 2e-16 ***
ORIGIN_SZBMSZ17 -1.6026767 0.0184419 -86.904 < 2e-16 ***
ORIGIN_SZBPSZ01 0.5571291 0.0071866 77.523 < 2e-16 ***
ORIGIN_SZBPSZ02 0.0523197 0.0082259 6.360 2.01e-10 ***
ORIGIN_SZBPSZ03 0.2942047 0.0080482 36.555 < 2e-16 ***
ORIGIN_SZBPSZ04 0.6246296 0.0065878 94.816 < 2e-16 ***
ORIGIN_SZBPSZ05 0.8663708 0.0060852 142.372 < 2e-16 ***
ORIGIN_SZBPSZ06 -0.9896182 0.0109551 -90.334 < 2e-16 ***
ORIGIN_SZBPSZ07 -0.5219250 0.0101830 -51.255 < 2e-16 ***
ORIGIN_SZBSSZ01 0.3299588 0.0066440 49.663 < 2e-16 ***
ORIGIN_SZBSSZ02 0.2851357 0.0057077 49.956 < 2e-16 ***
ORIGIN_SZBSSZ03 -0.2084740 0.0063364 -32.901 < 2e-16 ***
ORIGIN_SZBTSZ01 0.1425664 0.0071103 20.051 < 2e-16 ***
ORIGIN_SZBTSZ02 -0.5591999 0.0093616 -59.733 < 2e-16 ***
ORIGIN_SZBTSZ03 -0.3648190 0.0081677 -44.666 < 2e-16 ***
ORIGIN_SZBTSZ04 -1.4555078 0.0120138 -121.152 < 2e-16 ***
ORIGIN_SZBTSZ05 -0.8635510 0.0133848 -64.517 < 2e-16 ***
ORIGIN_SZBTSZ06 -1.1383111 0.0106421 -106.963 < 2e-16 ***
ORIGIN_SZBTSZ07 -2.3477669 0.0160858 -145.953 < 2e-16 ***
ORIGIN_SZBTSZ08 -1.2918779 0.0124862 -103.464 < 2e-16 ***
ORIGIN_SZCBSZ01 -3.3713588 0.0578683 -58.259 < 2e-16 ***
ORIGIN_SZCCSZ01 -0.6029242 0.0153385 -39.308 < 2e-16 ***
ORIGIN_SZCHSZ01 -0.7641380 0.0135100 -56.561 < 2e-16 ***
ORIGIN_SZCHSZ02 -0.8400736 0.0101951 -82.400 < 2e-16 ***
ORIGIN_SZCHSZ03 1.2753127 0.0072576 175.720 < 2e-16 ***
ORIGIN_SZCKSZ01 0.2470943 0.0067135 36.806 < 2e-16 ***
ORIGIN_SZCKSZ02 0.5793581 0.0070498 82.181 < 2e-16 ***
ORIGIN_SZCKSZ03 1.0795767 0.0060642 178.025 < 2e-16 ***
ORIGIN_SZCKSZ04 1.4947920 0.0063122 236.808 < 2e-16 ***
ORIGIN_SZCKSZ05 0.7457580 0.0074071 100.681 < 2e-16 ***
ORIGIN_SZCKSZ06 0.5760952 0.0094861 60.730 < 2e-16 ***
ORIGIN_SZCLSZ01 -0.9061335 0.0098617 -91.884 < 2e-16 ***
ORIGIN_SZCLSZ02 -1.7609479 0.0156124 -112.791 < 2e-16 ***
ORIGIN_SZCLSZ03 -1.0081325 0.0095171 -105.929 < 2e-16 ***
ORIGIN_SZCLSZ04 0.6181200 0.0057953 106.659 < 2e-16 ***
ORIGIN_SZCLSZ05 -2.0462335 0.0168934 -121.127 < 2e-16 ***
ORIGIN_SZCLSZ06 0.7902389 0.0055680 141.924 < 2e-16 ***
ORIGIN_SZCLSZ07 -0.5472929 0.0071001 -77.082 < 2e-16 ***
ORIGIN_SZCLSZ08 -0.2197650 0.0077460 -28.372 < 2e-16 ***
ORIGIN_SZCLSZ09 -1.8175782 0.0195989 -92.739 < 2e-16 ***
ORIGIN_SZDTSZ02 -3.7618796 0.0872098 -43.136 < 2e-16 ***
ORIGIN_SZDTSZ03 -3.4514766 0.0840812 -41.049 < 2e-16 ***
ORIGIN_SZDTSZ13 -3.0627578 0.0352485 -86.891 < 2e-16 ***
ORIGIN_SZGLSZ01 -1.8055929 0.0111938 -161.303 < 2e-16 ***
ORIGIN_SZGLSZ02 -0.1588829 0.0061413 -25.871 < 2e-16 ***
ORIGIN_SZGLSZ03 -0.2508524 0.0064276 -39.027 < 2e-16 ***
ORIGIN_SZGLSZ04 0.8819358 0.0051993 169.627 < 2e-16 ***
ORIGIN_SZGLSZ05 0.6062778 0.0053735 112.828 < 2e-16 ***
ORIGIN_SZHGSZ01 0.3841503 0.0056776 67.660 < 2e-16 ***
ORIGIN_SZHGSZ02 0.3962330 0.0057579 68.815 < 2e-16 ***
ORIGIN_SZHGSZ03 0.2159531 0.0061671 35.017 < 2e-16 ***
ORIGIN_SZHGSZ04 0.7831941 0.0052216 149.992 < 2e-16 ***
ORIGIN_SZHGSZ05 1.1741558 0.0051799 226.677 < 2e-16 ***
ORIGIN_SZHGSZ06 -0.1891403 0.0065556 -28.852 < 2e-16 ***
ORIGIN_SZHGSZ07 0.3105421 0.0057186 54.304 < 2e-16 ***
ORIGIN_SZHGSZ08 -0.0766364 0.0063474 -12.074 < 2e-16 ***
ORIGIN_SZHGSZ09 -1.2211107 0.0101434 -120.384 < 2e-16 ***
ORIGIN_SZHGSZ10 -3.4844709 0.0504793 -69.028 < 2e-16 ***
ORIGIN_SZJESZ01 0.4916496 0.0063444 77.493 < 2e-16 ***
ORIGIN_SZJESZ02 0.1343893 0.0063762 21.077 < 2e-16 ***
ORIGIN_SZJESZ03 -0.2761723 0.0068085 -40.563 < 2e-16 ***
ORIGIN_SZJESZ04 -1.5932744 0.0121402 -131.240 < 2e-16 ***
ORIGIN_SZJESZ05 -2.3041311 0.0160245 -143.788 < 2e-16 ***
ORIGIN_SZJESZ06 0.2811076 0.0062495 44.981 < 2e-16 ***
ORIGIN_SZJESZ07 -1.9413956 0.0136276 -142.461 < 2e-16 ***
ORIGIN_SZJESZ08 -1.3315645 0.0143168 -93.007 < 2e-16 ***
ORIGIN_SZJESZ09 0.4418314 0.0069208 63.841 < 2e-16 ***
ORIGIN_SZJESZ10 -1.5551555 0.0236523 -65.751 < 2e-16 ***
ORIGIN_SZJESZ11 -1.8888230 0.0224630 -84.086 < 2e-16 ***
ORIGIN_SZJWSZ01 0.2564586 0.0084699 30.279 < 2e-16 ***
ORIGIN_SZJWSZ02 0.6899398 0.0061751 111.729 < 2e-16 ***
ORIGIN_SZJWSZ03 1.4761229 0.0057392 257.198 < 2e-16 ***
ORIGIN_SZJWSZ04 0.5701272 0.0065749 86.713 < 2e-16 ***
ORIGIN_SZJWSZ05 -2.1253657 0.0150769 -140.968 < 2e-16 ***
ORIGIN_SZJWSZ06 -1.5307265 0.0131906 -116.047 < 2e-16 ***
ORIGIN_SZJWSZ07 -2.8801618 0.0360772 -79.833 < 2e-16 ***
ORIGIN_SZJWSZ08 1.4428820 0.0059638 241.938 < 2e-16 ***
ORIGIN_SZJWSZ09 1.8968475 0.0055649 340.860 < 2e-16 ***
ORIGIN_SZKLSZ01 0.1116580 0.0059844 18.658 < 2e-16 ***
ORIGIN_SZKLSZ02 -0.9618787 0.0077344 -124.364 < 2e-16 ***
ORIGIN_SZKLSZ03 -0.7070626 0.0070275 -100.613 < 2e-16 ***
ORIGIN_SZKLSZ04 -2.2742765 0.0139991 -162.459 < 2e-16 ***
ORIGIN_SZKLSZ05 -1.1907262 0.0123719 -96.244 < 2e-16 ***
ORIGIN_SZKLSZ06 -5.9774897 0.1857994 -32.172 < 2e-16 ***
ORIGIN_SZKLSZ07 -1.4258369 0.0103083 -138.320 < 2e-16 ***
ORIGIN_SZKLSZ08 -1.7625888 0.0116107 -151.808 < 2e-16 ***
ORIGIN_SZLKSZ01 -2.0541388 0.0448216 -45.829 < 2e-16 ***
ORIGIN_SZMDSZ01 -0.8571117 0.0321054 -26.697 < 2e-16 ***
ORIGIN_SZMDSZ02 -0.6034597 0.0120724 -49.987 < 2e-16 ***
ORIGIN_SZMDSZ03 -2.1681163 0.0201078 -107.825 < 2e-16 ***
ORIGIN_SZMPSZ01 -0.9331562 0.0096218 -96.984 < 2e-16 ***
ORIGIN_SZMPSZ02 -1.0268229 0.0081379 -126.178 < 2e-16 ***
ORIGIN_SZMPSZ03 0.0054001 0.0066875 0.807 0.419385
ORIGIN_SZMUSZ02 -3.6269863 0.1105492 -32.809 < 2e-16 ***
ORIGIN_SZNTSZ01 -3.0593717 0.0399843 -76.514 < 2e-16 ***
ORIGIN_SZNTSZ02 -3.3331415 0.0251754 -132.397 < 2e-16 ***
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ORIGIN_SZNTSZ06 -3.8549296 0.0593793 -64.920 < 2e-16 ***
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ORIGIN_SZNVSZ05 -2.1552928 0.0183064 -117.734 < 2e-16 ***
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ORIGIN_SZPGSZ02 -0.3481687 0.0089328 -38.976 < 2e-16 ***
ORIGIN_SZPGSZ03 0.9095292 0.0058835 154.590 < 2e-16 ***
ORIGIN_SZPGSZ04 1.3653717 0.0054727 249.489 < 2e-16 ***
ORIGIN_SZPGSZ05 0.3762720 0.0073841 50.957 < 2e-16 ***
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ORIGIN_SZPLSZ02 -1.0987582 0.0175891 -62.468 < 2e-16 ***
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ORIGIN_SZPLSZ04 -2.9140779 0.0374458 -77.821 < 2e-16 ***
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ORIGIN_SZPNSZ03 -2.1837321 0.0224396 -97.316 < 2e-16 ***
ORIGIN_SZPNSZ04 -3.2481509 0.0370762 -87.608 < 2e-16 ***
ORIGIN_SZPNSZ05 -2.0450679 0.0328165 -62.318 < 2e-16 ***
ORIGIN_SZPRSZ01 -0.6701245 0.0141567 -47.336 < 2e-16 ***
ORIGIN_SZPRSZ02 0.7931907 0.0058079 136.570 < 2e-16 ***
ORIGIN_SZPRSZ03 0.4249094 0.0058610 72.498 < 2e-16 ***
ORIGIN_SZPRSZ04 -0.8529967 0.0090997 -93.739 < 2e-16 ***
ORIGIN_SZPRSZ05 0.7865479 0.0055282 142.278 < 2e-16 ***
ORIGIN_SZPRSZ06 -1.3303664 0.0134512 -98.903 < 2e-16 ***
ORIGIN_SZPRSZ07 -3.0458370 0.0181514 -167.802 < 2e-16 ***
ORIGIN_SZPRSZ08 -0.5342399 0.0075966 -70.327 < 2e-16 ***
ORIGIN_SZQTSZ01 -0.2548930 0.0086485 -29.473 < 2e-16 ***
ORIGIN_SZQTSZ02 -0.8662439 0.0076549 -113.162 < 2e-16 ***
ORIGIN_SZQTSZ03 -0.0890168 0.0072455 -12.286 < 2e-16 ***
ORIGIN_SZQTSZ04 -1.4634370 0.0089384 -163.724 < 2e-16 ***
ORIGIN_SZQTSZ05 -0.6535669 0.0077612 -84.210 < 2e-16 ***
ORIGIN_SZQTSZ06 -0.8275765 0.0081835 -101.128 < 2e-16 ***
ORIGIN_SZQTSZ07 -1.5369800 0.0112808 -136.248 < 2e-16 ***
ORIGIN_SZQTSZ08 -0.4437979 0.0075302 -58.936 < 2e-16 ***
ORIGIN_SZQTSZ09 -0.8184934 0.0083589 -97.918 < 2e-16 ***
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ORIGIN_SZQTSZ11 -2.3251162 0.0154191 -150.795 < 2e-16 ***
ORIGIN_SZQTSZ12 -3.0442790 0.0208985 -145.670 < 2e-16 ***
ORIGIN_SZQTSZ13 -0.7241013 0.0093441 -77.493 < 2e-16 ***
ORIGIN_SZQTSZ14 -1.8225351 0.0138207 -131.870 < 2e-16 ***
ORIGIN_SZQTSZ15 -0.8720806 0.0138589 -62.926 < 2e-16 ***
ORIGIN_SZRCSZ01 -1.8063415 0.0144295 -125.184 < 2e-16 ***
ORIGIN_SZRCSZ06 -0.5370905 0.0101573 -52.877 < 2e-16 ***
ORIGIN_SZRVSZ01 -2.7426167 0.0341386 -80.338 < 2e-16 ***
ORIGIN_SZRVSZ02 -3.0827269 0.0302299 -101.976 < 2e-16 ***
ORIGIN_SZRVSZ03 -2.9133853 0.0262543 -110.968 < 2e-16 ***
ORIGIN_SZRVSZ04 -3.4220022 0.0582209 -58.776 < 2e-16 ***
ORIGIN_SZRVSZ05 -2.6206257 0.0197470 -132.710 < 2e-16 ***
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ORIGIN_SZSBSZ02 -0.8810456 0.0098244 -89.680 < 2e-16 ***
ORIGIN_SZSBSZ03 0.8303668 0.0063009 131.785 < 2e-16 ***
ORIGIN_SZSBSZ04 0.3489128 0.0071456 48.829 < 2e-16 ***
ORIGIN_SZSBSZ05 -0.3182914 0.0085560 -37.201 < 2e-16 ***
ORIGIN_SZSBSZ06 -0.9074308 0.0200035 -45.364 < 2e-16 ***
ORIGIN_SZSBSZ07 -0.2217124 0.0167188 -13.261 < 2e-16 ***
ORIGIN_SZSBSZ08 -1.3007367 0.0178771 -72.760 < 2e-16 ***
ORIGIN_SZSBSZ09 -0.9813703 0.0107885 -90.965 < 2e-16 ***
ORIGIN_SZSESZ02 1.1283424 0.0054209 208.146 < 2e-16 ***
ORIGIN_SZSESZ03 1.2389996 0.0051926 238.610 < 2e-16 ***
ORIGIN_SZSESZ04 0.7535119 0.0060371 124.814 < 2e-16 ***
ORIGIN_SZSESZ05 -0.2347978 0.0071482 -32.847 < 2e-16 ***
ORIGIN_SZSESZ06 0.9520620 0.0057572 165.368 < 2e-16 ***
ORIGIN_SZSESZ07 -2.4296685 0.0231677 -104.873 < 2e-16 ***
ORIGIN_SZSGSZ01 -0.6995899 0.0099969 -69.980 < 2e-16 ***
ORIGIN_SZSGSZ02 -1.2602157 0.0111471 -113.053 < 2e-16 ***
ORIGIN_SZSGSZ03 0.0725860 0.0061970 11.713 < 2e-16 ***
ORIGIN_SZSGSZ04 0.2738315 0.0057524 47.603 < 2e-16 ***
ORIGIN_SZSGSZ05 -2.0207710 0.0119838 -168.625 < 2e-16 ***
ORIGIN_SZSGSZ06 0.4885608 0.0054646 89.404 < 2e-16 ***
ORIGIN_SZSGSZ07 -0.8892155 0.0075074 -118.445 < 2e-16 ***
ORIGIN_SZSKSZ01 -0.3682754 0.0108025 -34.092 < 2e-16 ***
ORIGIN_SZSKSZ02 1.1826086 0.0071388 165.659 < 2e-16 ***
ORIGIN_SZSKSZ03 -0.3230177 0.0101683 -31.767 < 2e-16 ***
ORIGIN_SZSKSZ04 -1.8504236 0.0362400 -51.060 < 2e-16 ***
ORIGIN_SZSKSZ05 -0.2759035 0.0185157 -14.901 < 2e-16 ***
ORIGIN_SZSLSZ01 -2.2757902 0.0348766 -65.253 < 2e-16 ***
ORIGIN_SZSLSZ04 -0.0899820 0.0090356 -9.959 < 2e-16 ***
ORIGIN_SZSRSZ01 -2.1460151 0.0187871 -114.228 < 2e-16 ***
ORIGIN_SZTHSZ01 -2.6851549 0.0571841 -46.956 < 2e-16 ***
ORIGIN_SZTHSZ03 -1.0121495 0.0275551 -36.732 < 2e-16 ***
ORIGIN_SZTHSZ04 -2.6129645 0.0345167 -75.701 < 2e-16 ***
ORIGIN_SZTHSZ06 -1.7229100 0.0208134 -82.779 < 2e-16 ***
ORIGIN_SZTMSZ01 -0.2254986 0.0070312 -32.071 < 2e-16 ***
ORIGIN_SZTMSZ02 1.7271575 0.0049219 350.914 < 2e-16 ***
ORIGIN_SZTMSZ03 0.9891319 0.0052266 189.250 < 2e-16 ***
ORIGIN_SZTMSZ04 0.2018090 0.0062114 32.490 < 2e-16 ***
ORIGIN_SZTMSZ05 -1.1882870 0.0125842 -94.427 < 2e-16 ***
ORIGIN_SZTNSZ01 -1.6122620 0.0141911 -113.611 < 2e-16 ***
ORIGIN_SZTNSZ02 -1.5630967 0.0112227 -139.280 < 2e-16 ***
ORIGIN_SZTNSZ03 -2.0739538 0.0149298 -138.914 < 2e-16 ***
ORIGIN_SZTNSZ04 -0.2816960 0.0085295 -33.026 < 2e-16 ***
ORIGIN_SZTPSZ01 -0.7822239 0.0077901 -100.412 < 2e-16 ***
ORIGIN_SZTPSZ02 0.5735478 0.0053042 108.131 < 2e-16 ***
ORIGIN_SZTPSZ03 -0.8748650 0.0074202 -117.903 < 2e-16 ***
ORIGIN_SZTPSZ04 -0.8537831 0.0069792 -122.332 < 2e-16 ***
ORIGIN_SZTPSZ05 -0.5581114 0.0077012 -72.471 < 2e-16 ***
ORIGIN_SZTPSZ06 0.0262001 0.0075241 3.482 0.000497 ***
ORIGIN_SZTPSZ07 -0.5969952 0.0074272 -80.380 < 2e-16 ***
ORIGIN_SZTPSZ08 -1.0537959 0.0111297 -94.683 < 2e-16 ***
ORIGIN_SZTPSZ09 -0.9588508 0.0081314 -117.920 < 2e-16 ***
ORIGIN_SZTPSZ10 -1.1177249 0.0089403 -125.021 < 2e-16 ***
ORIGIN_SZTPSZ11 -0.2799677 0.0067135 -41.702 < 2e-16 ***
ORIGIN_SZTPSZ12 -0.8898871 0.0080215 -110.938 < 2e-16 ***
ORIGIN_SZTSSZ01 -2.6146463 0.0521606 -50.127 < 2e-16 ***
ORIGIN_SZTSSZ02 0.1682588 0.0119965 14.026 < 2e-16 ***
ORIGIN_SZTSSZ03 0.2587653 0.0123809 20.900 < 2e-16 ***
ORIGIN_SZTSSZ04 -0.5473825 0.0135215 -40.482 < 2e-16 ***
ORIGIN_SZTSSZ05 -0.9967379 0.0206068 -48.369 < 2e-16 ***
ORIGIN_SZTSSZ06 0.4933147 0.0229597 21.486 < 2e-16 ***
ORIGIN_SZWCSZ01 1.2524706 0.0111133 112.700 < 2e-16 ***
ORIGIN_SZWCSZ02 -2.8544820 0.0347805 -82.071 < 2e-16 ***
ORIGIN_SZWCSZ03 -5.1277334 0.1475585 -34.751 < 2e-16 ***
ORIGIN_SZWDSZ01 1.4725308 0.0056496 260.645 < 2e-16 ***
ORIGIN_SZWDSZ02 0.1571680 0.0064909 24.214 < 2e-16 ***
ORIGIN_SZWDSZ03 1.2584097 0.0061471 204.717 < 2e-16 ***
ORIGIN_SZWDSZ04 0.8578765 0.0069277 123.833 < 2e-16 ***
ORIGIN_SZWDSZ05 0.1702728 0.0069687 24.434 < 2e-16 ***
ORIGIN_SZWDSZ06 0.1736910 0.0069507 24.989 < 2e-16 ***
ORIGIN_SZWDSZ07 -1.5610176 0.0100803 -154.859 < 2e-16 ***
ORIGIN_SZWDSZ08 -0.9490906 0.0102047 -93.005 < 2e-16 ***
ORIGIN_SZWDSZ09 1.2107011 0.0062294 194.354 < 2e-16 ***
ORIGIN_SZYSSZ01 -0.3324158 0.0074537 -44.598 < 2e-16 ***
ORIGIN_SZYSSZ02 0.8177113 0.0066108 123.693 < 2e-16 ***
ORIGIN_SZYSSZ03 1.6751777 0.0058470 286.503 < 2e-16 ***
ORIGIN_SZYSSZ04 0.8130044 0.0059025 137.738 < 2e-16 ***
ORIGIN_SZYSSZ05 0.3678420 0.0072431 50.785 < 2e-16 ***
ORIGIN_SZYSSZ06 -0.6024384 0.0126722 -47.540 < 2e-16 ***
ORIGIN_SZYSSZ07 -0.7631918 0.0158478 -48.157 < 2e-16 ***
ORIGIN_SZYSSZ08 0.2141930 0.0076154 28.126 < 2e-16 ***
ORIGIN_SZYSSZ09 1.0809368 0.0057973 186.457 < 2e-16 ***
DESTIN_SZAMSZ02 0.0761304 0.0051207 14.867 < 2e-16 ***
DESTIN_SZAMSZ03 0.0143394 0.0050755 2.825 0.004724 **
DESTIN_SZAMSZ04 -1.2516780 0.0074947 -167.008 < 2e-16 ***
DESTIN_SZAMSZ05 -1.2312375 0.0076598 -160.741 < 2e-16 ***
DESTIN_SZAMSZ06 -1.0333412 0.0075283 -137.261 < 2e-16 ***
DESTIN_SZAMSZ07 -1.5338249 0.0110036 -139.392 < 2e-16 ***
DESTIN_SZAMSZ08 -0.3751665 0.0075358 -49.784 < 2e-16 ***
DESTIN_SZAMSZ09 -1.1633493 0.0077556 -150.001 < 2e-16 ***
DESTIN_SZAMSZ10 0.1017717 0.0053151 19.148 < 2e-16 ***
DESTIN_SZAMSZ11 -0.8840362 0.0097007 -91.131 < 2e-16 ***
DESTIN_SZAMSZ12 0.1628123 0.0055220 29.484 < 2e-16 ***
DESTIN_SZBDSZ01 1.0040794 0.0047922 209.523 < 2e-16 ***
DESTIN_SZBDSZ02 -0.2478149 0.0063085 -39.283 < 2e-16 ***
DESTIN_SZBDSZ03 0.1016088 0.0057420 17.696 < 2e-16 ***
DESTIN_SZBDSZ04 1.1082928 0.0047747 232.116 < 2e-16 ***
DESTIN_SZBDSZ05 0.8737933 0.0050593 172.712 < 2e-16 ***
DESTIN_SZBDSZ06 0.2897032 0.0058244 49.740 < 2e-16 ***
DESTIN_SZBDSZ07 -0.9026193 0.0113656 -79.416 < 2e-16 ***
DESTIN_SZBDSZ08 -1.7063577 0.0131234 -130.024 < 2e-16 ***
DESTIN_SZBKSZ01 -1.3892839 0.0083307 -166.767 < 2e-16 ***
DESTIN_SZBKSZ02 -0.6661120 0.0073464 -90.672 < 2e-16 ***
DESTIN_SZBKSZ03 -0.9536826 0.0073196 -130.292 < 2e-16 ***
DESTIN_SZBKSZ04 -0.6655610 0.0065868 -101.044 < 2e-16 ***
DESTIN_SZBKSZ05 -0.9053119 0.0079264 -114.215 < 2e-16 ***
DESTIN_SZBKSZ06 -1.2622159 0.0075079 -168.119 < 2e-16 ***
DESTIN_SZBKSZ07 -0.0423370 0.0056686 -7.469 8.10e-14 ***
DESTIN_SZBKSZ08 -1.3811240 0.0084985 -162.515 < 2e-16 ***
DESTIN_SZBKSZ09 -0.0797012 0.0061428 -12.975 < 2e-16 ***
DESTIN_SZBLSZ01 -0.8859670 0.0088108 -100.555 < 2e-16 ***
DESTIN_SZBLSZ02 0.1362723 0.0082167 16.585 < 2e-16 ***
DESTIN_SZBLSZ03 1.2037396 0.0093508 128.732 < 2e-16 ***
DESTIN_SZBLSZ04 -0.9316219 0.0178080 -52.315 < 2e-16 ***
DESTIN_SZBMSZ01 0.7188470 0.0061160 117.536 < 2e-16 ***
DESTIN_SZBMSZ02 -0.0597895 0.0061206 -9.769 < 2e-16 ***
DESTIN_SZBMSZ03 -0.2427075 0.0069937 -34.704 < 2e-16 ***
DESTIN_SZBMSZ04 -0.0622494 0.0065569 -9.494 < 2e-16 ***
DESTIN_SZBMSZ05 -0.2857019 0.0086450 -33.048 < 2e-16 ***
DESTIN_SZBMSZ06 -1.3486558 0.0158904 -84.872 < 2e-16 ***
DESTIN_SZBMSZ07 0.4549687 0.0058315 78.020 < 2e-16 ***
DESTIN_SZBMSZ08 -0.8730268 0.0077814 -112.195 < 2e-16 ***
DESTIN_SZBMSZ09 -2.0319890 0.0163038 -124.633 < 2e-16 ***
DESTIN_SZBMSZ10 -1.4319101 0.0102616 -139.541 < 2e-16 ***
DESTIN_SZBMSZ11 -1.2429176 0.0092250 -134.733 < 2e-16 ***
DESTIN_SZBMSZ12 -0.8526549 0.0096009 -88.810 < 2e-16 ***
DESTIN_SZBMSZ13 0.1399907 0.0066885 20.930 < 2e-16 ***
DESTIN_SZBMSZ14 -1.0103155 0.0091377 -110.566 < 2e-16 ***
DESTIN_SZBMSZ15 -0.6819769 0.0086179 -79.135 < 2e-16 ***
DESTIN_SZBMSZ16 -1.4468308 0.0134051 -107.931 < 2e-16 ***
DESTIN_SZBMSZ17 -1.5312175 0.0186843 -81.952 < 2e-16 ***
DESTIN_SZBPSZ01 -1.1726725 0.0073257 -160.077 < 2e-16 ***
DESTIN_SZBPSZ02 -2.1072012 0.0103320 -203.949 < 2e-16 ***
DESTIN_SZBPSZ03 -1.6944911 0.0098520 -171.995 < 2e-16 ***
DESTIN_SZBPSZ04 -0.7664610 0.0074458 -102.939 < 2e-16 ***
DESTIN_SZBPSZ05 0.1358370 0.0056258 24.145 < 2e-16 ***
DESTIN_SZBPSZ06 -1.2425471 0.0096942 -128.175 < 2e-16 ***
DESTIN_SZBPSZ07 -0.1666192 0.0094969 -17.545 < 2e-16 ***
DESTIN_SZBSSZ01 0.3857894 0.0057261 67.374 < 2e-16 ***
DESTIN_SZBSSZ02 -0.5293265 0.0064886 -81.578 < 2e-16 ***
DESTIN_SZBSSZ03 0.3909966 0.0048540 80.551 < 2e-16 ***
DESTIN_SZBTSZ01 0.7114965 0.0054528 130.482 < 2e-16 ***
DESTIN_SZBTSZ02 -0.0487084 0.0082474 -5.906 3.51e-09 ***
DESTIN_SZBTSZ03 0.5539032 0.0064423 85.979 < 2e-16 ***
DESTIN_SZBTSZ04 -0.7120734 0.0128676 -55.339 < 2e-16 ***
DESTIN_SZBTSZ05 0.2176097 0.0086791 25.073 < 2e-16 ***
DESTIN_SZBTSZ06 -0.2167084 0.0084925 -25.518 < 2e-16 ***
DESTIN_SZBTSZ07 -1.4045618 0.0124363 -112.940 < 2e-16 ***
DESTIN_SZBTSZ08 -0.8213918 0.0120793 -68.000 < 2e-16 ***
DESTIN_SZCBSZ01 -5.7340877 0.3333916 -17.199 < 2e-16 ***
DESTIN_SZCCSZ01 -0.0304192 0.0095920 -3.171 0.001518 **
DESTIN_SZCHSZ01 -0.2598507 0.0115311 -22.535 < 2e-16 ***
DESTIN_SZCHSZ02 0.3497750 0.0068334 51.186 < 2e-16 ***
DESTIN_SZCHSZ03 2.4550172 0.0050883 482.481 < 2e-16 ***
DESTIN_SZCKSZ01 -0.4691744 0.0063130 -74.319 < 2e-16 ***
DESTIN_SZCKSZ02 -0.9557084 0.0069331 -137.847 < 2e-16 ***
DESTIN_SZCKSZ03 0.0442112 0.0057117 7.740 9.91e-15 ***
DESTIN_SZCKSZ04 -0.8592063 0.0081238 -105.764 < 2e-16 ***
DESTIN_SZCKSZ05 -1.1745333 0.0087305 -134.532 < 2e-16 ***
DESTIN_SZCKSZ06 -0.4982877 0.0085514 -58.269 < 2e-16 ***
DESTIN_SZCLSZ01 0.2665065 0.0059712 44.632 < 2e-16 ***
DESTIN_SZCLSZ02 -1.9758876 0.0150823 -131.007 < 2e-16 ***
DESTIN_SZCLSZ03 -0.9051310 0.0091479 -98.944 < 2e-16 ***
DESTIN_SZCLSZ04 -0.0828732 0.0061559 -13.462 < 2e-16 ***
DESTIN_SZCLSZ05 -1.1414780 0.0100760 -113.287 < 2e-16 ***
DESTIN_SZCLSZ06 0.3229402 0.0056269 57.392 < 2e-16 ***
DESTIN_SZCLSZ07 -0.4833612 0.0069777 -69.272 < 2e-16 ***
DESTIN_SZCLSZ08 -0.3219670 0.0075615 -42.580 < 2e-16 ***
DESTIN_SZCLSZ09 0.0564166 0.0080703 6.991 2.74e-12 ***
DESTIN_SZDTSZ02 -1.6384236 0.0374725 -43.723 < 2e-16 ***
DESTIN_SZDTSZ03 -0.4021571 0.0152716 -26.334 < 2e-16 ***
DESTIN_SZDTSZ13 -1.2799441 0.0177095 -72.274 < 2e-16 ***
DESTIN_SZGLSZ01 -0.0190303 0.0060665 -3.137 0.001707 **
DESTIN_SZGLSZ02 -0.0308469 0.0058724 -5.253 1.50e-07 ***
DESTIN_SZGLSZ03 0.6927638 0.0048456 142.969 < 2e-16 ***
DESTIN_SZGLSZ04 0.9325848 0.0049183 189.616 < 2e-16 ***
DESTIN_SZGLSZ05 0.8480056 0.0048801 173.768 < 2e-16 ***
DESTIN_SZHGSZ01 0.0652969 0.0047795 13.662 < 2e-16 ***
DESTIN_SZHGSZ02 -0.9498251 0.0066577 -142.667 < 2e-16 ***
DESTIN_SZHGSZ03 -1.4372499 0.0076387 -188.154 < 2e-16 ***
DESTIN_SZHGSZ04 -0.5236292 0.0055353 -94.599 < 2e-16 ***
DESTIN_SZHGSZ05 -0.5420295 0.0058099 -93.295 < 2e-16 ***
DESTIN_SZHGSZ06 -0.9054730 0.0067581 -133.983 < 2e-16 ***
DESTIN_SZHGSZ07 0.0215109 0.0054019 3.982 6.83e-05 ***
DESTIN_SZHGSZ08 -0.0490979 0.0059206 -8.293 < 2e-16 ***
DESTIN_SZHGSZ09 -0.0711560 0.0062875 -11.317 < 2e-16 ***
DESTIN_SZHGSZ10 -3.5807154 0.0290642 -123.200 < 2e-16 ***
DESTIN_SZJESZ01 -0.4023638 0.0065057 -61.848 < 2e-16 ***
DESTIN_SZJESZ02 -0.7654353 0.0067096 -114.081 < 2e-16 ***
DESTIN_SZJESZ03 -0.8778812 0.0071238 -123.232 < 2e-16 ***
DESTIN_SZJESZ04 -1.1998075 0.0088733 -135.215 < 2e-16 ***
DESTIN_SZJESZ05 -1.5623652 0.0116898 -133.652 < 2e-16 ***
DESTIN_SZJESZ06 0.2311474 0.0055595 41.577 < 2e-16 ***
DESTIN_SZJESZ07 -1.2753348 0.0094838 -134.475 < 2e-16 ***
DESTIN_SZJESZ08 -0.7654533 0.0099306 -77.081 < 2e-16 ***
DESTIN_SZJESZ09 0.1637628 0.0074164 22.081 < 2e-16 ***
DESTIN_SZJESZ10 0.7394958 0.0091249 81.041 < 2e-16 ***
DESTIN_SZJESZ11 0.5157364 0.0086546 59.591 < 2e-16 ***
DESTIN_SZJWSZ01 -1.0165204 0.0083025 -122.435 < 2e-16 ***
DESTIN_SZJWSZ02 -0.8530646 0.0067851 -125.727 < 2e-16 ***
DESTIN_SZJWSZ03 0.5176135 0.0056449 91.695 < 2e-16 ***
DESTIN_SZJWSZ04 0.3427105 0.0058499 58.584 < 2e-16 ***
DESTIN_SZJWSZ05 -1.1695940 0.0080069 -146.073 < 2e-16 ***
DESTIN_SZJWSZ06 -0.7466462 0.0070240 -106.299 < 2e-16 ***
DESTIN_SZJWSZ07 -3.0124535 0.0333481 -90.334 < 2e-16 ***
DESTIN_SZJWSZ08 -0.4253502 0.0066584 -63.881 < 2e-16 ***
DESTIN_SZJWSZ09 0.9428005 0.0053190 177.251 < 2e-16 ***
DESTIN_SZKLSZ01 -0.2965013 0.0066422 -44.639 < 2e-16 ***
DESTIN_SZKLSZ02 -0.4921137 0.0067689 -72.702 < 2e-16 ***
DESTIN_SZKLSZ03 -0.8489213 0.0078294 -108.427 < 2e-16 ***
DESTIN_SZKLSZ04 -1.2656342 0.0099918 -126.667 < 2e-16 ***
DESTIN_SZKLSZ05 -0.3570126 0.0096300 -37.073 < 2e-16 ***
DESTIN_SZKLSZ06 -2.4764906 0.0390868 -63.359 < 2e-16 ***
DESTIN_SZKLSZ07 -0.7316189 0.0080994 -90.330 < 2e-16 ***
DESTIN_SZKLSZ08 -0.1115398 0.0061168 -18.235 < 2e-16 ***
DESTIN_SZLKSZ01 -1.4940710 0.0271518 -55.027 < 2e-16 ***
DESTIN_SZMDSZ01 -1.6101440 0.0231238 -69.631 < 2e-16 ***
DESTIN_SZMDSZ02 -0.9339318 0.0126277 -73.959 < 2e-16 ***
DESTIN_SZMDSZ03 -3.4868547 0.0303657 -114.829 < 2e-16 ***
DESTIN_SZMPSZ01 -0.4518483 0.0089869 -50.279 < 2e-16 ***
DESTIN_SZMPSZ02 -0.5868264 0.0073193 -80.176 < 2e-16 ***
DESTIN_SZMPSZ03 0.4805365 0.0059041 81.391 < 2e-16 ***
DESTIN_SZMUSZ02 -1.3837581 0.0218713 -63.268 < 2e-16 ***
DESTIN_SZNTSZ01 -3.0694691 0.0533346 -57.551 < 2e-16 ***
DESTIN_SZNTSZ02 -1.4992973 0.0130358 -115.014 < 2e-16 ***
DESTIN_SZNTSZ03 -0.5221236 0.0089923 -58.064 < 2e-16 ***
DESTIN_SZNTSZ05 -1.9751162 0.0282369 -69.948 < 2e-16 ***
DESTIN_SZNTSZ06 -3.9959411 0.0511214 -78.166 < 2e-16 ***
DESTIN_SZNVSZ01 -0.1126966 0.0057077 -19.745 < 2e-16 ***
DESTIN_SZNVSZ02 -0.0259250 0.0064427 -4.024 5.72e-05 ***
DESTIN_SZNVSZ03 -0.0123214 0.0067692 -1.820 0.068725 .
DESTIN_SZNVSZ04 -1.3371298 0.0130261 -102.650 < 2e-16 ***
DESTIN_SZNVSZ05 -0.9686333 0.0101539 -95.395 < 2e-16 ***
DESTIN_SZPGSZ01 -1.1798309 0.0180543 -65.349 < 2e-16 ***
DESTIN_SZPGSZ02 -1.3289737 0.0085335 -155.736 < 2e-16 ***
DESTIN_SZPGSZ03 -0.1661373 0.0055166 -30.116 < 2e-16 ***
DESTIN_SZPGSZ04 -0.3046408 0.0058469 -52.103 < 2e-16 ***
DESTIN_SZPGSZ05 -1.5412612 0.0093261 -165.264 < 2e-16 ***
DESTIN_SZPLSZ01 -0.3439667 0.0083504 -41.192 < 2e-16 ***
DESTIN_SZPLSZ02 -1.7574919 0.0154244 -113.942 < 2e-16 ***
DESTIN_SZPLSZ03 -0.3455776 0.0112089 -30.831 < 2e-16 ***
DESTIN_SZPLSZ04 -2.0749385 0.0141153 -146.999 < 2e-16 ***
DESTIN_SZPLSZ05 -0.4855216 0.0134069 -36.214 < 2e-16 ***
DESTIN_SZPNSZ01 0.0117816 0.0083558 1.410 0.158543
DESTIN_SZPNSZ02 0.7389858 0.0089823 82.272 < 2e-16 ***
DESTIN_SZPNSZ03 -0.4708719 0.0098588 -47.761 < 2e-16 ***
DESTIN_SZPNSZ04 1.3156771 0.0111200 118.316 < 2e-16 ***
DESTIN_SZPNSZ05 0.9881886 0.0153169 64.516 < 2e-16 ***
DESTIN_SZPRSZ01 -1.0678999 0.0098295 -108.642 < 2e-16 ***
DESTIN_SZPRSZ02 0.0650279 0.0063927 10.172 < 2e-16 ***
DESTIN_SZPRSZ03 0.6348138 0.0050147 126.592 < 2e-16 ***
DESTIN_SZPRSZ04 -0.3640286 0.0097572 -37.309 < 2e-16 ***
DESTIN_SZPRSZ05 0.0380410 0.0062577 6.079 1.21e-09 ***
DESTIN_SZPRSZ06 0.3153712 0.0068742 45.877 < 2e-16 ***
DESTIN_SZPRSZ07 -1.6669973 0.0145573 -114.513 < 2e-16 ***
DESTIN_SZPRSZ08 -0.6170648 0.0078424 -78.683 < 2e-16 ***
DESTIN_SZQTSZ01 -0.5496582 0.0098285 -55.925 < 2e-16 ***
DESTIN_SZQTSZ02 -0.7318114 0.0086807 -84.303 < 2e-16 ***
DESTIN_SZQTSZ03 -0.5893064 0.0084789 -69.503 < 2e-16 ***
DESTIN_SZQTSZ04 -0.7103906 0.0085341 -83.242 < 2e-16 ***
DESTIN_SZQTSZ05 -0.4721472 0.0078164 -60.405 < 2e-16 ***
DESTIN_SZQTSZ06 -0.6591466 0.0080069 -82.322 < 2e-16 ***
DESTIN_SZQTSZ07 -0.9540454 0.0126807 -75.236 < 2e-16 ***
DESTIN_SZQTSZ08 0.4508867 0.0064870 69.507 < 2e-16 ***
DESTIN_SZQTSZ09 -0.4061810 0.0075485 -53.810 < 2e-16 ***
DESTIN_SZQTSZ10 0.1351889 0.0068202 19.822 < 2e-16 ***
DESTIN_SZQTSZ11 0.3181553 0.0067958 46.816 < 2e-16 ***
DESTIN_SZQTSZ12 -0.1055766 0.0095576 -11.046 < 2e-16 ***
DESTIN_SZQTSZ13 0.5199663 0.0071928 72.290 < 2e-16 ***
DESTIN_SZQTSZ14 0.6086332 0.0078537 77.496 < 2e-16 ***
DESTIN_SZQTSZ15 1.3906866 0.0092250 150.753 < 2e-16 ***
DESTIN_SZRCSZ01 -0.0862091 0.0085363 -10.099 < 2e-16 ***
DESTIN_SZRCSZ06 -1.0186282 0.0211113 -48.250 < 2e-16 ***
DESTIN_SZRVSZ01 -1.5294454 0.0179337 -85.283 < 2e-16 ***
DESTIN_SZRVSZ02 -2.3607754 0.0355628 -66.383 < 2e-16 ***
DESTIN_SZRVSZ03 -1.5266254 0.0156276 -97.688 < 2e-16 ***
DESTIN_SZRVSZ04 -1.0986565 0.0168695 -65.127 < 2e-16 ***
DESTIN_SZRVSZ05 -2.4004418 0.0320917 -74.799 < 2e-16 ***
DESTIN_SZSBSZ01 -1.4023966 0.0109496 -128.078 < 2e-16 ***
DESTIN_SZSBSZ02 -1.3899893 0.0090891 -152.929 < 2e-16 ***
DESTIN_SZSBSZ03 0.4509008 0.0059864 75.321 < 2e-16 ***
DESTIN_SZSBSZ04 0.1796309 0.0070142 25.610 < 2e-16 ***
DESTIN_SZSBSZ05 -1.3159699 0.0096485 -136.391 < 2e-16 ***
DESTIN_SZSBSZ06 -1.7705263 0.0253064 -69.964 < 2e-16 ***
DESTIN_SZSBSZ07 -0.7471529 0.0238628 -31.310 < 2e-16 ***
DESTIN_SZSBSZ08 0.7884520 0.0069638 113.221 < 2e-16 ***
DESTIN_SZSBSZ09 0.0131702 0.0066350 1.985 0.047150 *
DESTIN_SZSESZ02 -0.7247347 0.0060626 -119.541 < 2e-16 ***
DESTIN_SZSESZ03 0.1032728 0.0048330 21.368 < 2e-16 ***
DESTIN_SZSESZ04 -1.0992420 0.0068328 -160.878 < 2e-16 ***
DESTIN_SZSESZ05 -0.8374712 0.0058155 -144.006 < 2e-16 ***
DESTIN_SZSESZ06 -0.5531619 0.0074766 -73.985 < 2e-16 ***
DESTIN_SZSESZ07 -3.0328672 0.0246371 -123.101 < 2e-16 ***
DESTIN_SZSGSZ01 -0.1933777 0.0068235 -28.340 < 2e-16 ***
DESTIN_SZSGSZ02 -0.3000845 0.0060284 -49.779 < 2e-16 ***
DESTIN_SZSGSZ03 -0.4322879 0.0057308 -75.433 < 2e-16 ***
DESTIN_SZSGSZ04 -0.1214792 0.0056548 -21.482 < 2e-16 ***
DESTIN_SZSGSZ05 -2.0309074 0.0114993 -176.611 < 2e-16 ***
DESTIN_SZSGSZ06 0.6592095 0.0046364 142.182 < 2e-16 ***
DESTIN_SZSGSZ07 -0.4618538 0.0062027 -74.460 < 2e-16 ***
DESTIN_SZSISZ01 -0.5227257 0.0293399 -17.816 < 2e-16 ***
DESTIN_SZSKSZ01 -0.4797341 0.0091087 -52.668 < 2e-16 ***
DESTIN_SZSKSZ02 0.8477357 0.0067821 124.996 < 2e-16 ***
DESTIN_SZSKSZ03 -0.2477566 0.0074817 -33.115 < 2e-16 ***
DESTIN_SZSKSZ04 -1.3315992 0.0167055 -79.710 < 2e-16 ***
DESTIN_SZSKSZ05 -0.3519096 0.0131326 -26.797 < 2e-16 ***
DESTIN_SZSLSZ01 -0.8570431 0.0102100 -83.941 < 2e-16 ***
DESTIN_SZSLSZ04 -0.9949105 0.0088280 -112.699 < 2e-16 ***
DESTIN_SZSRSZ01 -1.0260696 0.0154393 -66.458 < 2e-16 ***
DESTIN_SZTHSZ01 -4.2040410 0.0404795 -103.856 < 2e-16 ***
DESTIN_SZTHSZ03 -2.4907000 0.0264056 -94.325 < 2e-16 ***
DESTIN_SZTHSZ04 -3.0701470 0.0244975 -125.325 < 2e-16 ***
DESTIN_SZTHSZ06 -2.5308161 0.0169699 -149.135 < 2e-16 ***
DESTIN_SZTMSZ01 -0.2354889 0.0067201 -35.042 < 2e-16 ***
DESTIN_SZTMSZ02 1.7379292 0.0044573 389.906 < 2e-16 ***
DESTIN_SZTMSZ03 0.9112458 0.0048718 187.043 < 2e-16 ***
DESTIN_SZTMSZ04 1.0731075 0.0048626 220.685 < 2e-16 ***
DESTIN_SZTMSZ05 0.6398583 0.0067321 95.046 < 2e-16 ***
DESTIN_SZTNSZ01 -0.3500456 0.0083835 -41.754 < 2e-16 ***
DESTIN_SZTNSZ02 -1.0573515 0.0112412 -94.060 < 2e-16 ***
DESTIN_SZTNSZ03 -1.4069979 0.0132733 -106.002 < 2e-16 ***
DESTIN_SZTNSZ04 -0.3616604 0.0085207 -42.445 < 2e-16 ***
DESTIN_SZTPSZ01 -0.5919243 0.0071153 -83.190 < 2e-16 ***
DESTIN_SZTPSZ02 0.7083350 0.0046540 152.198 < 2e-16 ***
DESTIN_SZTPSZ03 -0.5746433 0.0069625 -82.534 < 2e-16 ***
DESTIN_SZTPSZ04 -1.5821259 0.0084517 -187.196 < 2e-16 ***
DESTIN_SZTPSZ05 -1.1796256 0.0073039 -161.505 < 2e-16 ***
DESTIN_SZTPSZ06 -0.3968272 0.0077295 -51.339 < 2e-16 ***
DESTIN_SZTPSZ07 -2.1796617 0.0135199 -161.219 < 2e-16 ***
DESTIN_SZTPSZ08 -1.2568483 0.0107267 -117.170 < 2e-16 ***
DESTIN_SZTPSZ09 -0.2446623 0.0080840 -30.265 < 2e-16 ***
DESTIN_SZTPSZ10 -1.2542191 0.0102049 -122.904 < 2e-16 ***
DESTIN_SZTPSZ11 -0.0886883 0.0062888 -14.102 < 2e-16 ***
DESTIN_SZTPSZ12 -0.7211823 0.0075086 -96.048 < 2e-16 ***
DESTIN_SZTSSZ01 -1.6271921 0.0238498 -68.227 < 2e-16 ***
DESTIN_SZTSSZ02 -0.3340439 0.0169137 -19.750 < 2e-16 ***
DESTIN_SZTSSZ03 0.3924580 0.0111060 35.338 < 2e-16 ***
DESTIN_SZTSSZ04 0.4169932 0.0114926 36.283 < 2e-16 ***
DESTIN_SZTSSZ05 1.3206287 0.0120381 109.704 < 2e-16 ***
DESTIN_SZTSSZ06 2.4023725 0.0192840 124.579 < 2e-16 ***
DESTIN_SZWCSZ01 2.0697378 0.0061379 337.206 < 2e-16 ***
DESTIN_SZWCSZ02 -2.0934025 0.0134782 -155.318 < 2e-16 ***
DESTIN_SZWCSZ03 -3.0670149 0.0349748 -87.692 < 2e-16 ***
DESTIN_SZWDSZ01 1.0113215 0.0051461 196.522 < 2e-16 ***
DESTIN_SZWDSZ02 -1.3383793 0.0076482 -174.993 < 2e-16 ***
DESTIN_SZWDSZ03 0.3394361 0.0060396 56.202 < 2e-16 ***
DESTIN_SZWDSZ04 -0.8324928 0.0086019 -96.780 < 2e-16 ***
DESTIN_SZWDSZ05 -0.8279090 0.0083251 -99.447 < 2e-16 ***
DESTIN_SZWDSZ06 -0.2252899 0.0061074 -36.888 < 2e-16 ***
DESTIN_SZWDSZ07 -1.3638599 0.0077990 -174.877 < 2e-16 ***
DESTIN_SZWDSZ08 -0.4350176 0.0077566 -56.083 < 2e-16 ***
DESTIN_SZWDSZ09 0.5461048 0.0060745 89.901 < 2e-16 ***
DESTIN_SZYSSZ01 0.0243093 0.0053476 4.546 5.47e-06 ***
DESTIN_SZYSSZ02 -0.3398962 0.0065947 -51.540 < 2e-16 ***
DESTIN_SZYSSZ03 -0.3694187 0.0074032 -49.900 < 2e-16 ***
DESTIN_SZYSSZ04 -0.5222848 0.0067396 -77.495 < 2e-16 ***
DESTIN_SZYSSZ05 -1.5460539 0.0124899 -123.784 < 2e-16 ***
DESTIN_SZYSSZ06 -1.5556892 0.0127640 -121.881 < 2e-16 ***
DESTIN_SZYSSZ07 -0.8673403 0.0167723 -51.713 < 2e-16 ***
DESTIN_SZYSSZ08 0.5389364 0.0052540 102.577 < 2e-16 ***
DESTIN_SZYSSZ09 0.1199483 0.0055235 21.716 < 2e-16 ***
log(dist) -1.8906989 0.0005319 -3554.786 < 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: 36117615 on 14273 degrees of freedom
Residual deviance: 8091747 on 13715 degrees of freedom
AIC: 8177420
Number of Fisher Scoring iterations: 7CalcRSquared(dbcSIM$data$TRIPS, dbcSIM$fitted.values)[1] 0.68836759.9 Model Comparison
model_list <- list(unconstrained=uncSIM,
originConstrained=orcSIM,
destinationConstrained=decSIM,
doublyConstrained=dbcSIM)compare_performance(model_list,
metrics = "RMSE")# Comparison of Model Performance Indices
Name | Model | RMSE
-----------------------------------------
unconstrained | glm | 2429.978
originConstrained | glm | 2057.579
destinationConstrained | glm | 1891.724
doublyConstrained | glm | 1487.1119.10 Visualising Fitted
df <- as.data.frame(uncSIM$fitted.values) %>%
round(digits = 0)SIM_data <- SIM_data %>%
cbind(df) %>%
rename(uncTRIPS = "uncSIM$fitted.values")df <- as.data.frame(orcSIM$fitted.values) %>%
round(digits = 0)SIM_data <- SIM_data %>%
cbind(df) %>%
rename(orcTRIPS = "orcSIM$fitted.values")df <- as.data.frame(decSIM$fitted.values) %>%
round(digits = 0)SIM_data <- SIM_data %>%
cbind(df) %>%
rename(decTRIPS = "decSIM$fitted.values")Repeat the same step for double constrained model
df <- as.data.frame(dbcSIM$fitted.values) %>%
round(digits = 0)SIM_data <- SIM_data %>%
cbind(df) %>%
rename(dbcTRIPS = "dbcSIM$fitted.values")unc_p <- ggplot(data = SIM_data,
aes(x = uncTRIPS,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)
orc_p <- ggplot(data = SIM_data,
aes(x = orcTRIPS,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)
dec_p <- ggplot(data = SIM_data,
aes(x = decTRIPS,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)
dbc_p <- ggplot(data = SIM_data,
aes(x = dbcTRIPS,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)
ggarrange(unc_p, orc_p, dec_p, dbc_p,
ncol = 2,
nrow = 2)`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'