IS415_Take_Home_Ex_02
Author: Ng Xun Jie
Date: 9/28/2020
1 Description of the Exercise
Since late December 2019, an outbreak of a novel coronavirus disease (COVID-19; previously known as 2019-nCoV) was reported in Wuhan, China, which has subsequently affected 210 countries worldwide. In general, COVID-19 is an acute resolved disease but it can also be deadly, with a 2% case fatality rate.
The COVID-19 pandemic in Mexico is part of the ongoing worldwide pandemic of coronavirus disease 2019 (COVID-19) caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). The virus was confirmed to have reached Mexico in February 2020. However, the National Council of Science and Technology (CONACYT) reported two cases of COVID-19 in mid-January 2020 in states of Nayarit and Tabasco, one case per state. As of September 26, there had been 726,431 confirmed cases of COVID-19 in Mexico and 76,243 reported deaths, although the Secretariat of Health, through the “Programa Centinela” (Spanish for “Sentinel Program”) estimated in mid July 2020 that there were more than 2,875,734 cases in Mexico, because they were considering the total number of cases confirmed as a statistical sample. (Note: This paragraph is extracted from Wikipedia: https://en.wikipedia.org/wiki/COVID-19_pandemic_in_Mexico).
1.1 The task
In this take-home exercise, you are task to analyse the spatio-temporal patterns of COVID-19 case in Central Mexico (i.e. Mexico City (9), Mexico State (15) and Morelos State (17)) by using localized spatial statistics methods. The specific tasks are as follows:
- Using appropriate geospatial data wrangling methods, - extract municipalities located within the study area, and - calculate the COVID-19 rate (i.e. cases per 10000 population) from e-week 13 until e-week 32.
- Show the spatio-temporal distribution of COVID-19 rates at municipality level by using appropriate thematic mapping technique and describe the spatio-temporal patterns that are revealed.
- Perform local Moran’s I analysis and display the results by using appropriate thematic mapping techniques.Describe the spatio-temporal patterns revealed by the maps.
- Perform local Getis-Ord Gi* analysis and display the results using appropriate thematic mapping techniques. Describe the spatio-temporal patterns revealed by the maps.
2 Installing and loading R packages
Before we get started, it is important for us to install the necessary R packages into R and launch these R packages into R environment.
The spatial statistical analysis package that will be used is this study is spdep (https://cran.r-project.org/web/packages/spdep/index.html).
The other R packages needed for this study and their functions are as follows:
- Spatial data handling
- rgdal
- Attribute data handling
- tidyverse, especially readr, ggplot2 and dplyr
- Choropleth mapping
- tmap The code chunks below installs and launches these R packages into R environment.
packages = c('rgdal', 'spdep', 'tmap', 'tidyverse','sf')
for (p in packages){
if(!require(p, character.only = T)){
install.packages(p)
}
library(p,character.only = T)
}Note: With tidyverse, we do not have to install readr, ggplot2 and dplyr packages separately. In fact, tidyverse also installed other very useful R packages such as tidyr.
3 Data import and preparation
3.1 Importing geospatial data into R environment
Import Mexico’s reported COVID-19 cases and other related data at the municipality level GIS data and its associated attribute table into R environment.
The Mexico’s reported COVID-19 cases and other related data at the municipality level GIS data is in ESRI shapefile format. It will be imported into R environment by using the readOGR() function of rgdal.
The code chunks used are shown below:
## Warning in OGRSpatialRef(dsn, layer, morphFromESRI = morphFromESRI, dumpSRS =
## dumpSRS, : Discarded datum International_Terrestrial_Reference_Frame_2008 in CRS
## definition: +proj=lcc +lat_0=12 +lon_0=-102 +lat_1=17.5 +lat_2=29.5 +x_0=2500000
## +y_0=0 +ellps=GRS80 +units=m +no_defs## OGR data source with driver: ESRI Shapefile
## Source: "D:\Users\John_Ng\Year 3 Term 1\(Monday) IS415 Geospatial Analytics & Applns (SMU-X)\Take home exercise\IS415_Take_Home_Exercise_02_NG_XUN_JIE\data\geospatial", layer: "municipalities_COVID"
## with 2465 features
## It has 198 fields## class : SpatialPolygonsDataFrame
## features : 2465
## extent : 911292, 4082997, 319149.1, 2349615 (xmin, xmax, ymin, ymax)
## crs : +proj=lcc +lat_0=12 +lon_0=-102 +lat_1=17.5 +lat_2=29.5 +x_0=2500000 +y_0=0 +ellps=GRS80 +units=m +no_defs
## variables : 198
## names : CVEGEO, CVE_ENT, CVE_MUN, NOMGEO, Pop2010, Pop2020, new1, new2, new3, new4, new5, new6, new7, new8, new9, ...
## min values : 01001, 01, 001, Ãlamo Temapache, 93, 95, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...
## max values : 32058, 32, 570, Zumpango, 1815786, 1815551, 0, 0, 1, 0, 1, 0, 0, 0, 1, ...Note: using rgdal to read data, it is easier to use spatial data frame to perform and be analyzed by spdep
## [1] "SpatialPolygonsDataFrame"
## attr(,"package")
## [1] "sp"The imported Mexico’s reported COVID-19 cases and other related data at the municipality is called Mex_municipalities. It is saved in SpatialPolygonDataFrame format.
3.2 Extract municipalitiess located within the study area
Extracting 3 focal municipalities:
| Municipality | CVE_ENT codes |
|---|---|
| Mexico City | 09 |
| Mexico State | 15 |
| Morelos State | 17 |
mex_City = Mex_municipalities[Mex_municipalities@data$CVE_ENT == "09",]
mex_state = Mex_municipalities[Mex_municipalities@data$CVE_ENT == "15",]
morelos_state = Mex_municipalities[Mex_municipalities@data$CVE_ENT == "17",]
mex_central <- Mex_municipalities[(Mex_municipalities$CVE_ENT == '09'| Mex_municipalities$CVE_ENT == '15'|Mex_municipalities$CVE_ENT == '17'),]# par(mfrow=c(1,3))
# plot(mex_City, main = "Mexico City")
# plot(mex_state, main = "Mexico State")
# plot(morelos_state, main = "Morelos State")
#plot(mex_central, main = "Mexico Central area")## [1] "SpatialPolygonsDataFrame"
## attr(,"package")
## [1] "sp"## [1] "SpatialPolygonsDataFrame"
## attr(,"package")
## [1] "sp"## [1] "SpatialPolygonsDataFrame"
## attr(,"package")
## [1] "sp"## [1] "SpatialPolygonsDataFrame"
## attr(,"package")
## [1] "sp"In terms of epidemiological period, you are required to focus on e-week 13 to e-week 32.
3.3 Calculate the COVID-19 rate
Taking the rate from e-week 13 till e-week 32 at Central Mexico (consisting of Mexico City (9), Mexico State (15) and Morelos State (17))
## CVEGEO CVE_ENT CVE_MUN NOMGEO Pop2010 Pop2020 new1
## 270 09002 09 002 Azcapotzalco 414711 408441 0
## 271 09003 09 003 Coyoacán 620416 621952 0
## 272 09004 09 004 Cuajimalpa de Morelos 186391 199809 0
## 273 09005 09 005 Gustavo A. Madero 1185772 1176967 0
## 274 09006 09 006 Iztacalco 384326 393821 0
## 275 09007 09 007 Iztapalapa 1815786 1815551 0
## 276 09008 09 008 La Magdalena Contreras 239086 245147 0
## 277 09009 09 009 Milpa Alta 130582 139371 0
## 278 09010 09 010 Ã\201lvaro Obregón 727034 755537 0
## 279 09011 09 011 Tláhuac 360265 366586 0
## 280 09012 09 012 Tlalpan 650567 682234 0
## 281 09013 09 013 Xochimilco 415007 418060 0
## 282 09014 09 014 Benito Juárez 385439 433708 0
## 283 09015 09 015 Cuauhtémoc 531831 548606 0
## 284 09016 09 016 Miguel Hidalgo 372889 379624 0
## 285 09017 09 017 Venustiano Carranza 430978 433231 0
## 661 15001 15 001 Acambay de RuÃz Castañeda 60918 69520 0
## 662 15002 15 002 Acolman 136558 186256 0
## 663 15003 15 003 Aculco 44823 52173 0
## 664 15004 15 004 Almoloya de Alquisiras 14856 15645 0
## 665 15005 15 005 Almoloya de Juárez 147653 188124 0
## 666 15006 15 006 Almoloya del RÃo 10886 12169 0
## 667 15007 15 007 Amanalco 22868 25851 0
## 668 15008 15 008 Amatepec 26334 28414 0
## 669 15009 15 009 Amecameca 48421 54548 0
## 670 15010 15 010 Apaxco 27521 31576 0
## 671 15011 15 011 Atenco 62775 70016 0
## 672 15012 15 012 Atizapán 10299 12511 0
## 673 15013 15 013 Atizapán de Zaragoza 489937 557108 0
## 674 15014 15 014 Atlacomulco 93718 107378 0
## 675 15015 15 015 Atlautla 27663 32674 0
## 676 15016 15 016 Axapusco 25559 30040 0
## 677 15017 15 017 Ayapango 8864 11081 0
## 678 15018 15 018 Calimaya 47033 60309 0
## 679 15019 15 019 Capulhuac 34101 38196 0
## 680 15020 15 020 Coacalco de Berriozábal 278064 310743 0
## 681 15021 15 021 Coatepec Harinas 36174 41717 0
## 682 15022 15 022 Cocotitlán 12142 15387 0
## 683 15023 15 023 Coyotepec 39030 44201 0
## 684 15024 15 024 Cuautitlán 140059 175004 0
## 685 15025 15 025 Chalco 310130 397344 0
## 686 15026 15 026 Chapa de Mota 27551 30328 0
## 687 15027 15 027 Chapultepec 9676 12986 0
## 688 15028 15 028 Chiautla 26191 31803 0
## 689 15029 15 029 Chicoloapan 175053 226911 0
## 690 15030 15 030 Chiconcuac 22819 27570 0
## 691 15031 15 031 Chimalhuacán 614453 720207 0
## 692 15032 15 032 Donato Guerra 33455 36158 0
## 693 15033 15 033 Ecatepec de Morelos 1656107 1707754 0
## 694 15034 15 034 Ecatzingo 9369 10090 0
## 695 15035 15 035 Huehuetoca 100023 147326 0
## 696 15036 15 036 Hueypoxtla 39864 46742 0
## 697 15037 15 037 Huixquilucan 242167 290231 0
## 698 15038 15 038 Isidro Fabela 10308 12512 0
## 699 15039 15 039 Ixtapaluca 467361 551034 0
## 700 15040 15 040 Ixtapan de la Sal 33541 38288 0
## 701 15041 15 041 Ixtapan del Oro 6629 7283 0
## 702 15042 15 042 Ixtlahuaca 141289 163284 0
## 703 15043 15 043 Xalatlaco 26865 32120 0
## 704 15044 15 044 Jaltenco 26328 29179 0
## 705 15045 15 045 Jilotepec 83755 94893 0
## 706 15046 15 046 Jilotzingo 17970 20713 0
## 707 15047 15 047 Jiquipilco 69031 79263 0
## 708 15048 15 048 Jocotitlán 63338 70471 0
## 709 15049 15 049 Joquicingo 12840 14710 0
## 710 15050 15 050 Juchitepec 23497 27241 0
## 711 15051 15 051 Lerma 134799 159948 0
## 712 15052 15 052 Malinalco 25624 29515 0
## 713 15053 15 053 Melchor Ocampo 50240 61172 0
## 714 15054 15 054 Metepec 214162 246055 0
## 715 15055 15 055 Mexicaltzingo 11712 13744 0
## 716 15056 15 056 Morelos 28426 31832 0
## 717 15057 15 057 Naucalpan de Juárez 833779 910187 0
## 718 15058 15 058 Nezahualcóyotl 1110565 1135786 0
## 719 15059 15 059 Nextlalpan 31691 43640 0
## 720 15060 15 060 Nicolás Romero 366602 441064 0
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## 724 15064 15 064 El Oro 34446 40180 0
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## 728 15068 15 068 Ozumba 27207 31154 0
## 729 15069 15 069 Papalotla 4147 4367 0
## 730 15070 15 070 La Paz 253845 309596 0
## 731 15071 15 071 Polotitlán 13002 15066 0
## 732 15072 15 072 Rayón 12748 14608 0
## 733 15073 15 073 San Antonio la Isla 22152 31682 0
## 734 15074 15 074 San Felipe del Progreso 119455 139213 0
## 735 15075 15 075 San MartÃn de las Pirámides 24851 29145 0
## 736 15076 15 076 San Mateo Atenco 72579 80903 0
## 737 15077 15 077 San Simón de Guerrero 6272 6556 0
## 738 15078 15 078 Santo Tomás 8514 10262 0
## 739 15079 15 079 Soyaniquilpan de Juárez 11798 14339 0
## 740 15080 15 080 Sultepec 25809 28198 0
## 741 15081 15 081 Tecámac 364579 500585 0
## 742 15082 15 082 Tejupilco 71077 79795 0
## 743 15083 15 083 Temamatla 11206 13690 0
## 744 15084 15 084 Temascalapa 35987 41685 0
## 745 15085 15 085 Temascalcingo 62695 67308 0
## 746 15086 15 086 Temascaltepec 33183 34348 0
## 747 15087 15 087 Temoaya 87456 106329 0
## 748 15088 15 088 Tenancingo 90946 105306 0
## 749 15089 15 089 Tenango del Aire 10578 13344 0
## 750 15090 15 090 Tenango del Valle 77965 92048 0
## 751 15091 15 091 Teoloyucan 63115 69466 0
## 752 15092 15 092 Teotihuacán 53010 60992 0
## 753 15093 15 093 Tepetlaoxtoc 27944 33108 0
## 754 15094 15 094 Tepetlixpa 18327 21137 0
## 755 15095 15 095 Tepotzotlán 88559 104335 0
## 756 15096 15 096 Tequixquiac 33907 39658 0
## 757 15097 15 097 Texcaltitlán 17077 20149 0
## 758 15098 15 098 Texcalyacac 5111 5711 0
## 759 15099 15 099 Texcoco 235151 262015 0
## 760 15100 15 100 Tezoyuca 28667 46527 0
## 761 15101 15 101 Tianguistenco 70682 82457 0
## 762 15102 15 102 Timilpan 15391 16819 0
## 763 15103 15 103 Tlalmanalco 46130 51370 0
## 764 15104 15 104 Tlalnepantla de Baz 664225 756537 0
## 765 15105 15 105 Tlatlaya 32997 37531 0
## 766 15106 15 106 Toluca 825211 953280 0
## 767 15107 15 107 Tonatico 12099 13559 0
## 768 15108 15 108 Tultepec 131567 160943 0
## 769 15109 15 109 Tultitlán 486998 556493 0
## 770 15110 15 110 Valle de Bravo 62196 70192 0
## 771 15111 15 111 Villa de Allende 47709 54849 0
## 772 15112 15 112 Villa del Carbón 44881 50614 0
## 773 15113 15 113 Villa Guerrero 59991 71710 0
## 774 15114 15 114 Villa Victoria 94369 110462 0
## 775 15115 15 115 Xonacatlán 46331 54531 0
## 776 15116 15 116 Zacazonapan 4051 4358 0
## 777 15117 15 117 Zacualpan 15121 16080 0
## 778 15118 15 118 Zinacantepec 167759 201988 0
## 779 15119 15 119 Zumpahuacán 16365 17962 0
## 780 15120 15 120 Zumpango 159647 217166 0
## 781 15121 15 121 Cuautitlán Izcalli 511675 577190 0
## 782 15122 15 122 Valle de Chalco Solidaridad 357645 419700 0
## 783 15123 15 123 Luvianos 27781 29784 0
## 784 15124 15 124 San José del Rincón 91345 98328 0
## 785 15125 15 125 Tonanitla 10216 10960 0
## 899 17001 17 001 Amacuzac 17021 18861 0
## 900 17002 17 002 Atlatlahucan 18895 24153 0
## 901 17003 17 003 Axochiapan 33833 38236 0
## 902 17004 17 004 Ayala 77453 89410 0
## 903 17005 17 005 Coatlán del RÃo 9471 10479 0
## 904 17006 17 006 Cuautla 176780 210053 0
## 905 17007 17 007 Cuernavaca 365168 399426 0
## 906 17008 17 008 Emiliano Zapata 83485 106645 0
## 907 17009 17 009 Huitzilac 17340 20372 0
## 908 17010 17 010 Jantetelco 15646 18361 0
## 909 17011 17 011 Jiutepec 196953 227649 0
## 910 17012 17 012 Jojutla 54905 61131 0
## 911 17013 17 013 Jonacatepec de Leandro Valle 14604 16732 0
## 912 17014 17 014 Mazatepec 9456 10691 0
## 913 17015 17 015 Miacatlán 15023 16991 0
## 914 17016 17 016 Ocuituco 16858 19683 0
## 915 17017 17 017 Puente de Ixtla 38488 44319 0
## 916 17018 17 018 Temixco 108126 123812 0
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## 920 17022 17 022 Tetela del Volcán 19137 22015 0
## 921 17023 17 023 Tlalnepantla 6636 7714 0
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## 924 17026 17 026 Tlayacapan 15549 19129 0
## 925 17027 17 027 Totolapan 10789 12802 0
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## 927 17029 17 029 Yautepec 98821 109914 0
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## 932 17034 17 034 Coatetelco 9967 11272 0
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## 765 0 0 0 0 0 0.0000000 0.00000000 0.00000000
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## 776 0 0 0 0 0 0.0000000 0.00000000 0.00000000
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## 782 0 0 0 0 0 0.0000000 0.00000000 0.00000000
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## 906 0 0 0 0 0 0.0000000 0.00000000 0.00000000
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## 911 0 0 0 0 0 0.0000000 0.00000000 0.00000000
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## 924 0 0 0 0 0 0.0000000 0.00000000 0.00000000
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## 926 0 0 0 0 0 0.0000000 0.00000000 0.00000000
## 927 0 0 0 0 0 0.0000000 0.00000000 0.00000000
## 928 0 0 0 0 0 0.0000000 0.00000000 0.00000000
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## 933 0 0 0 0 0 0.0000000 0.00000000 0.00000000
## actvr11 actvr12 actvr13 actvr14 actvr15 actvr16 actvr17
## 270 0.2448334 1.9586672 8.3243357 16.8935048 29.869675 40.3975115 64.146352
## 271 1.1254888 3.0548981 6.5921486 12.0588084 23.635264 45.0195513 69.297952
## 272 16.5157726 30.0286774 32.5310672 26.5253317 26.024854 35.0334570 48.045884
## 273 0.3398566 1.5293547 5.6076339 14.3589412 25.574209 42.7369671 65.167503
## 274 0.5078449 1.5235348 5.0784493 14.2196582 31.232463 67.5433763 107.663126
## 275 0.2203188 1.3769924 4.0208179 9.3084689 22.086959 42.9070844 72.595041
## 276 2.4475111 7.3425333 9.3821258 14.2771480 21.211763 36.3047478 67.306555
## 277 0.0000000 0.0000000 0.7175094 6.4575844 30.852903 76.0559944 126.999161
## 278 3.5736172 6.3530972 9.9267144 14.2944687 21.971128 38.1185832 54.266039
## 279 0.0000000 0.2727873 2.1822983 7.9108313 16.367237 36.5534963 62.195501
## 280 2.6383909 5.7165137 10.1138319 14.6577274 31.220959 59.9501051 82.523005
## 281 0.7176003 2.3920011 7.4152036 12.9168062 27.268813 46.6440224 80.849639
## 282 1.6139891 4.6113975 9.2227951 18.2150202 28.360095 44.9611259 63.406716
## 283 0.9114009 4.5570045 9.6608495 21.3267810 30.076230 44.4763637 63.251222
## 284 15.5416939 26.8686911 31.8736434 27.3955282 27.658947 41.3567109 66.644891
## 285 0.4616475 1.1541187 5.7705935 13.6186007 27.929673 48.7038093 75.479363
## 661 0.0000000 0.0000000 0.0000000 0.0000000 2.876870 4.3153049 4.315305
## 662 0.0000000 0.0000000 1.0737909 2.6844773 3.221373 6.4427455 10.737909
## 663 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 664 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 665 0.0000000 0.0000000 0.0000000 1.0631286 2.657821 3.7209500 5.315643
## 666 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 667 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 7.7366446 7.736645
## 668 0.0000000 0.0000000 0.0000000 3.5193918 3.519392 3.5193918 0.000000
## 669 0.0000000 0.0000000 0.0000000 0.0000000 7.332991 10.9994867 29.331965
## 670 0.0000000 0.0000000 0.0000000 0.0000000 3.166962 3.1669622 6.333924
## 671 0.0000000 0.0000000 0.0000000 2.8564899 2.856490 9.9977148 11.425960
## 672 0.0000000 7.9929662 7.9929662 15.9859324 23.978899 31.9718648 47.957797
## 673 0.3589968 2.3334793 3.5899682 7.8979300 12.923885 20.6423171 26.924761
## 674 0.0000000 0.0000000 1.8625789 1.8625789 1.862579 2.7938684 6.519026
## 675 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 9.1816123 9.181612
## 676 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 3.3288948 3.328895
## 677 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 9.0244563 18.048913
## 678 0.0000000 1.6581273 1.6581273 1.6581273 1.658127 4.9743819 8.290637
## 679 0.0000000 0.0000000 0.0000000 0.0000000 2.618075 10.4723008 15.708451
## 680 0.0000000 0.3218093 3.5399027 7.4016148 10.941518 16.0904670 20.595798
## 681 2.3971043 2.3971043 2.3971043 0.0000000 0.000000 0.0000000 4.794209
## 682 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 12.9979853 45.492949
## 683 0.0000000 0.0000000 0.0000000 0.0000000 2.262392 9.0495690 20.361530
## 684 2.2856620 2.8570776 6.2855706 11.9997257 21.713789 34.8563461 44.570410
## 685 0.5033422 0.5033422 1.2583555 4.0267375 12.835226 29.9488604 48.824193
## 686 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 687 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 23.101802
## 688 0.0000000 0.0000000 0.0000000 3.1443575 3.144357 3.1443575 3.144357
## 689 0.0000000 0.0000000 1.3221043 2.6442085 5.288417 13.6617440 20.712967
## 690 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 10.8813928 10.881393
## 691 0.0000000 0.4165469 0.9719428 3.4712242 9.164032 21.6604393 33.323753
## 692 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 693 0.1756693 0.7026773 2.2251448 5.5043057 10.891498 20.3776422 31.679036
## 694 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 19.821606
## 695 0.0000000 0.0000000 1.3575336 2.0363004 5.430135 6.7876682 10.860269
## 696 0.0000000 0.0000000 0.0000000 2.1394035 2.139404 2.1394035 4.278807
## 697 5.5128501 11.3702533 17.2276566 15.5048909 13.437572 13.4375721 19.294975
## 698 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 7.9923274 7.992327
## 699 0.1814770 0.9073850 1.6332930 3.8110171 5.988741 15.2440684 26.677120
## 700 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 2.6117844 2.611784
## 701 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 702 0.6124299 0.6124299 0.6124299 1.2248598 4.899439 14.0858872 22.047476
## 703 0.0000000 0.0000000 0.0000000 0.0000000 9.339975 15.5666252 28.019925
## 704 0.0000000 0.0000000 0.0000000 0.0000000 3.427122 6.8542445 6.854244
## 705 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 1.0538185 6.322911
## 706 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 4.8278859 4.827886
## 707 0.0000000 0.0000000 1.2616227 1.2616227 1.261623 2.5232454 6.308113
## 708 0.0000000 0.0000000 0.0000000 1.4190234 2.838047 2.8380469 1.419023
## 709 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 710 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 711 0.6252032 1.2504064 1.2504064 1.8756096 2.500813 5.6268287 11.253657
## 712 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 713 0.0000000 0.0000000 3.2694697 4.9042045 8.173674 14.7126136 14.712614
## 714 0.8128264 2.4384792 5.2833716 5.6897848 6.909024 8.5346772 11.785983
## 715 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 716 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 3.1414928 3.141493
## 717 1.7578805 2.9664234 4.8341714 6.9216546 11.096621 20.1057585 32.081320
## 718 0.5282685 1.3206713 3.0815664 7.0435804 14.439340 29.6710824 50.361600
## 719 0.0000000 0.0000000 2.2914757 2.2914757 2.291476 2.2914757 9.165903
## 720 0.2267245 1.3603468 3.8543159 8.3888053 12.469846 17.2310594 24.486242
## 721 0.0000000 0.0000000 0.0000000 0.0000000 10.253255 10.2532554 10.253255
## 722 0.0000000 0.0000000 0.0000000 0.0000000 2.788972 9.7614034 22.311779
## 723 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 5.460155
## 724 0.0000000 0.0000000 2.4888004 2.4888004 4.977601 14.9328024 24.888004
## 725 0.0000000 0.0000000 0.0000000 2.6187608 5.237522 18.3313256 23.568847
## 726 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 727 0.0000000 0.0000000 0.0000000 0.0000000 2.232591 5.5814784 11.162957
## 728 0.0000000 0.0000000 0.0000000 0.0000000 3.209861 12.8394428 28.888746
## 729 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 730 0.6460032 0.6460032 0.6460032 2.2610111 9.044044 18.0880890 31.008153
## 731 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 732 0.0000000 0.0000000 0.0000000 0.0000000 6.845564 6.8455641 13.691128
## 733 0.0000000 0.0000000 0.0000000 3.1563664 6.312733 12.6254656 12.625466
## 734 0.0000000 0.0000000 0.0000000 0.7183237 1.436647 4.3099423 10.056532
## 735 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 3.431120
## 736 0.0000000 1.2360481 2.4720962 2.4720962 2.472096 3.7081443 6.180241
## 737 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 15.2532032 15.253203
## 738 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 739 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 13.9479741 13.947974
## 740 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 3.5463508 3.546351
## 741 0.0000000 0.5992988 1.1985976 3.9953255 10.587612 19.3773285 27.367979
## 742 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 2.506423
## 743 0.0000000 0.0000000 0.0000000 0.0000000 7.304602 14.6092038 21.913806
## 744 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 2.3989445 7.196833
## 745 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 2.971415
## 746 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 747 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 9.4047720 19.750021
## 748 0.0000000 0.0000000 0.0000000 0.9496135 1.899227 3.7984540 4.748068
## 749 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 7.4940048 7.494005
## 750 0.0000000 0.0000000 0.0000000 0.0000000 2.172779 5.4319485 10.863897
## 751 0.0000000 0.0000000 0.0000000 2.8791063 7.197766 11.5164253 15.835085
## 752 0.0000000 0.0000000 0.0000000 0.0000000 1.639559 4.9186779 11.476915
## 753 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 15.102090
## 754 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 14.1931211 37.848323
## 755 0.0000000 0.9584511 0.9584511 2.8753534 4.792256 7.6676091 14.376767
## 756 0.0000000 0.0000000 0.0000000 0.0000000 2.521559 5.0431187 5.043119
## 757 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 758 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 17.510068
## 759 0.0000000 1.9082877 3.8165754 6.4881782 8.014808 14.5029865 27.479343
## 760 0.0000000 0.0000000 2.1492897 4.2985793 6.447869 17.1943173 25.791476
## 761 0.0000000 1.2127533 1.2127533 1.2127533 2.425507 3.6382599 6.063767
## 762 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 5.945657
## 763 0.0000000 0.0000000 0.0000000 1.9466615 5.839984 19.4666148 36.986568
## 764 0.1321812 0.5287250 4.3619810 9.7814119 17.580105 24.1891672 31.723498
## 765 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 766 0.2098019 0.7343068 1.9931185 2.8323263 4.091138 6.8185633 11.958711
## 767 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 768 0.0000000 0.6213380 2.4853520 4.3493659 7.456056 12.4267598 20.504154
## 769 0.0000000 0.5390903 2.3360581 6.8284776 11.320897 16.7118005 21.383917
## 770 0.0000000 0.0000000 0.0000000 0.0000000 2.849328 4.2739913 7.123319
## 771 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 1.823187
## 772 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 1.9757379 3.951476
## 773 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 1.394506
## 774 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.9052887 2.715866
## 775 1.8338193 1.8338193 0.0000000 1.8338193 11.002916 14.6705544 20.172012
## 776 0.0000000 0.0000000 22.9463056 22.9463056 22.946306 0.0000000 0.000000
## 777 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 778 0.0000000 0.0000000 0.0000000 0.9901578 2.970473 6.4360259 10.891736
## 779 0.0000000 0.0000000 0.0000000 0.0000000 5.567309 5.5673088 5.567309
## 780 0.0000000 0.0000000 0.4604772 2.3023862 5.986204 10.5909765 18.419090
## 781 0.3465063 1.2127722 3.9848230 6.5836206 10.741697 14.3800135 22.522913
## 782 0.0000000 0.0000000 0.7147963 1.1913271 5.241839 16.2020491 30.974506
## 783 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 784 0.0000000 0.0000000 0.0000000 1.0170043 1.017004 2.0340086 3.051013
## 785 0.0000000 0.0000000 9.1240876 9.1240876 9.124088 9.1240876 18.248175
## 899 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 5.3019458 5.301946
## 900 0.0000000 0.0000000 4.1402724 8.2805449 16.561090 16.5610897 12.420817
## 901 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 902 0.0000000 0.0000000 0.0000000 0.0000000 2.236886 5.5922156 8.947545
## 903 0.0000000 0.0000000 0.0000000 0.0000000 9.542895 9.5428953 28.628686
## 904 0.0000000 0.4760703 0.9521407 1.4282110 2.856422 7.1410549 18.566743
## 905 0.5007185 1.5021556 2.7539519 5.2575446 7.010059 18.5265857 39.306405
## 906 0.0000000 0.0000000 0.9376905 1.8753809 6.563833 9.3769047 13.127667
## 907 0.0000000 0.0000000 4.9086982 9.8173964 9.817396 4.9086982 9.817396
## 908 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 5.446326
## 909 0.0000000 0.0000000 0.0000000 1.3178182 3.514182 7.9069093 14.056728
## 910 0.0000000 0.0000000 0.0000000 1.6358312 1.635831 9.8149875 24.537469
## 911 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 912 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 9.3536620 18.707324
## 913 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 11.7709376 23.541875
## 914 0.0000000 0.0000000 0.0000000 0.0000000 10.161053 25.4026317 35.563684
## 915 0.0000000 0.0000000 0.0000000 2.2563686 4.512737 18.0509488 31.589160
## 916 0.0000000 0.8076762 1.6153523 6.4614092 8.076762 12.1151423 15.345847
## 917 0.0000000 0.0000000 0.0000000 0.0000000 3.463683 6.9273666 24.245783
## 918 0.0000000 0.0000000 1.9465478 1.9465478 1.946548 3.8930956 9.732739
## 919 0.0000000 12.0105693 12.0105693 12.0105693 0.000000 12.0105693 12.010569
## 920 0.0000000 0.0000000 0.0000000 0.0000000 4.542357 18.1694299 22.711787
## 921 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 922 0.0000000 0.0000000 0.0000000 1.8000828 1.800083 7.2003312 19.800911
## 923 0.0000000 0.0000000 5.5329626 5.5329626 5.532963 2.7664813 11.065925
## 924 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 10.455330
## 925 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 7.811279
## 926 0.0000000 0.0000000 0.0000000 1.3388494 2.677699 4.0165482 10.710795
## 927 0.9098022 0.9098022 0.9098022 1.8196044 2.729407 3.6392088 7.278418
## 928 0.0000000 0.0000000 0.0000000 0.0000000 1.781229 3.5624588 10.687376
## 929 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 10.1595042 22.858884
## 930 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 931 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 932 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## 933 0.0000000 0.0000000 0.0000000 0.0000000 0.000000 0.0000000 0.000000
## actvr18 actvr19 actvr20 actvr21 actvr22 actvr23
## 270 94.505694 141.268874 194.397722 230.143399 249.485238 248.995571
## 271 90.843023 117.854754 142.293939 163.999794 170.913511 176.540955
## 272 62.559745 79.075517 101.597025 130.624747 181.173020 208.198830
## 273 94.904955 122.688232 154.209931 180.039033 192.018978 200.515393
## 274 150.576023 183.332021 214.818407 227.514531 224.721384 207.962501
## 275 103.990469 129.602528 149.541379 159.345565 159.070167 152.680922
## 276 85.662888 111.361754 122.783473 152.153606 163.167406 170.509939
## 277 175.789798 201.620136 259.738396 322.161712 382.432500 416.872951
## 278 71.869412 90.663991 113.561612 138.841645 148.106578 165.180527
## 279 103.659169 150.851369 208.955061 238.961662 241.143961 234.051491
## 280 102.164360 116.675510 134.557938 147.896470 157.277415 177.651656
## 281 116.490456 166.004880 207.864900 237.286514 256.183323 291.345740
## 282 82.774586 98.683907 105.370434 125.430013 133.499958 135.113948
## 283 94.056572 124.315082 151.657109 168.062325 184.649822 188.842266
## 284 86.137863 109.318694 130.392178 156.734032 160.158473 164.900006
## 285 108.487158 144.957309 184.428169 207.510543 210.742075 201.509126
## 661 7.192175 10.069045 12.945915 17.261220 33.084005 53.222094
## 662 17.180655 24.697191 31.139936 42.414741 52.615755 63.353664
## 663 0.000000 15.333602 17.250302 17.250302 5.750101 7.666801
## 664 6.391818 6.391818 6.391818 19.175455 19.175455 38.350911
## 665 7.441900 13.820671 20.731007 31.362293 36.677936 41.993579
## 666 0.000000 41.088011 65.740817 82.176021 82.176021 139.699236
## 667 19.341612 19.341612 27.078256 38.683223 46.419868 58.024835
## 668 3.519392 3.519392 7.038784 7.038784 7.038784 10.558176
## 669 38.498203 56.830681 58.663929 78.829655 86.162646 102.661876
## 670 6.333924 9.500887 6.333924 15.834811 25.335698 38.003547
## 671 12.854205 7.141225 9.997715 17.138940 28.564899 35.706124
## 672 79.929662 119.894493 135.880425 183.838222 319.718648 455.599073
## 673 35.002190 37.874164 44.874602 50.798050 57.439491 61.747453
## 674 15.831921 21.419658 42.839315 52.152210 64.258973 78.228315
## 675 12.242150 18.363225 30.605374 48.968599 39.786987 42.847524
## 676 16.644474 16.644474 23.302264 19.973369 43.275632 49.933422
## 677 27.073369 27.073369 54.146738 63.171194 54.146738 18.048913
## 678 18.239400 34.820674 51.401947 61.350711 64.666965 91.197002
## 679 26.180752 39.271128 47.125353 44.507278 52.361504 91.632632
## 680 29.284650 35.720837 42.800642 52.776732 63.396440 82.705001
## 681 4.794209 9.588417 9.588417 16.779730 14.382626 14.382626
## 682 77.987912 77.987912 77.987912 77.987912 123.480860 123.480860
## 683 24.886315 31.673492 47.510237 58.822199 99.545259 110.857220
## 684 53.713058 67.427030 98.283468 134.282645 147.425202 153.710772
## 685 68.202867 85.568173 102.681807 124.325521 151.506000 165.096239
## 686 0.000000 3.297283 6.594566 6.594566 13.189132 23.080981
## 687 30.802403 38.503003 30.802403 69.305406 92.407208 130.910211
## 688 12.577430 25.154860 50.309719 66.031506 59.742792 44.021004
## 689 26.001384 31.289801 36.578218 44.951545 48.036455 48.917858
## 690 14.508524 10.881393 10.881393 21.762786 32.644178 47.152702
## 691 43.043181 48.735988 54.012249 60.260453 63.870526 67.202901
## 692 2.765640 2.765640 8.296919 16.593838 16.593838 11.062559
## 693 44.385784 52.466573 63.240959 74.249570 85.902302 96.735244
## 694 39.643211 49.554014 29.732408 19.821606 9.910803 19.821606
## 695 15.611637 19.684238 26.471906 36.653408 47.513677 56.337646
## 696 8.557614 10.697018 12.836421 14.975825 32.091053 55.624492
## 697 27.219697 38.245398 50.304757 64.086883 70.633392 76.146242
## 698 15.984655 7.992327 15.984655 39.961637 63.938619 55.946292
## 699 41.195280 50.269130 60.794797 68.053877 77.853635 79.305451
## 700 2.611784 5.223569 7.835353 10.447137 15.670706 33.953197
## 701 0.000000 0.000000 0.000000 13.730606 13.730606 13.730606
## 702 23.272335 22.659905 25.109625 33.683643 37.970652 44.094951
## 703 31.133250 49.813200 56.039851 84.059776 74.719801 77.833126
## 704 10.281367 23.989856 30.844100 37.698345 37.698345 65.115323
## 705 9.484367 10.538185 9.484367 15.807278 24.237826 33.722192
## 706 14.483658 14.483658 33.795201 53.106745 57.934630 53.106745
## 707 12.616227 12.616227 12.616227 15.139472 20.185963 27.755699
## 708 7.095117 17.028281 26.961445 34.056562 41.151679 53.922890
## 709 0.000000 6.798097 33.990483 40.788579 40.788579 27.192386
## 710 11.012812 14.683749 22.025623 22.025623 22.025623 18.354686
## 711 21.882112 30.634956 42.513817 57.518694 78.775602 94.405682
## 712 0.000000 3.388108 6.776215 16.940539 23.716754 30.492970
## 713 21.251553 27.790492 60.485189 101.353560 127.509318 124.239848
## 714 22.759139 33.732296 59.742740 80.876227 115.827762 138.180488
## 715 14.551804 36.379511 58.207218 65.483120 72.759022 123.690338
## 716 6.282986 3.141493 25.131943 31.414928 37.697914 31.414928
## 717 46.034496 61.745553 82.290782 96.793296 102.066938 110.746473
## 718 69.291222 86.019726 97.905767 109.967899 114.634271 112.609242
## 719 11.457379 27.497709 29.789184 45.829514 38.955087 54.995417
## 720 33.328497 43.757822 51.239729 60.081984 58.948361 59.401810
## 721 0.000000 0.000000 0.000000 20.506511 51.266277 102.532554
## 722 25.100752 23.706265 25.100752 37.651127 55.779448 90.641603
## 723 5.460155 10.920309 13.650386 19.110541 35.491004 38.221082
## 724 37.332006 32.354405 37.332006 32.354405 44.798407 52.264808
## 725 34.043890 26.187608 31.425130 34.043890 49.756455 81.181585
## 726 0.000000 23.607177 23.607177 47.214353 23.607177 23.607177
## 727 14.511844 15.628140 20.093322 23.442209 42.419236 56.931080
## 728 41.728189 41.728189 38.518328 35.308468 44.938050 41.728189
## 729 22.899015 22.899015 45.798031 114.495077 114.495077 114.495077
## 730 41.990207 49.742245 59.109291 61.693304 62.662308 59.755294
## 731 0.000000 6.637462 6.637462 6.637462 0.000000 6.637462
## 732 34.227820 34.227820 61.610077 75.301205 130.065717 164.293538
## 733 12.625466 6.312733 22.094565 41.032763 69.440061 72.596427
## 734 15.803122 17.239769 15.803122 25.141330 35.916186 48.846013
## 735 20.586722 30.880082 34.311203 24.017842 24.017842 41.173443
## 736 21.012818 27.193058 53.150069 70.454742 91.467560 108.772233
## 737 15.253203 0.000000 45.759610 61.012813 61.012813 15.253203
## 738 0.000000 0.000000 0.000000 9.744689 9.744689 19.489378
## 739 27.895948 27.895948 48.817909 41.843922 34.869935 20.921961
## 740 7.092702 3.546351 3.546351 0.000000 0.000000 7.092702
## 741 32.961435 36.756994 44.547879 51.539699 62.726610 68.919364
## 742 3.759634 6.266057 7.519268 8.772479 35.089918 65.166990
## 743 58.436815 58.436815 51.132213 29.218408 73.046019 160.701242
## 744 14.393667 14.393667 35.984167 38.383111 45.579945 33.585223
## 745 5.942830 11.885660 11.885660 23.771320 28.228442 40.114102
## 746 5.822755 8.734133 11.645511 5.822755 2.911378 8.734133
## 747 24.452407 24.452407 22.571453 31.035748 38.559565 47.023860
## 748 10.445749 10.445749 13.294589 20.891497 37.034927 58.876037
## 749 14.988010 14.988010 22.482014 37.470024 82.434053 97.422062
## 750 21.727794 24.986963 35.850860 42.369199 61.924213 83.652008
## 751 21.593297 28.791063 47.505254 60.461233 73.417211 79.175424
## 752 16.395593 29.512067 45.907660 57.384575 73.780168 90.175761
## 753 21.142926 21.142926 18.122508 15.102090 27.183762 24.163344
## 754 52.041444 42.579363 23.655202 23.655202 37.848323 56.772484
## 755 20.127474 30.670437 31.628888 38.338046 39.296497 46.005655
## 756 10.086237 12.607797 17.650915 10.086237 20.172475 25.215593
## 757 0.000000 0.000000 0.000000 4.963025 9.926051 19.852102
## 758 35.020137 52.530205 87.550341 105.060410 87.550341 35.020137
## 759 33.204206 39.692384 43.127302 54.195370 62.973494 64.500124
## 760 32.239345 27.940766 27.940766 42.985793 53.732241 77.374428
## 761 13.340286 20.616806 27.893326 37.595353 56.999406 63.063172
## 762 11.891313 23.782627 29.728283 35.673940 29.728283 35.673940
## 763 42.826552 54.506521 79.813120 97.333074 105.119720 87.599766
## 764 42.297997 55.912665 73.096227 87.107438 101.779556 109.710431
## 765 0.000000 0.000000 0.000000 2.664464 2.664464 5.328928
## 766 21.714502 36.925143 56.961229 78.151225 101.229439 131.126217
## 767 7.375175 7.375175 14.750350 7.375175 7.375175 14.750350
## 768 27.338872 34.794927 42.250983 51.571053 57.784433 70.832531
## 769 29.290575 36.298749 46.361769 54.268427 67.925383 76.371131
## 770 14.246638 24.219284 38.465922 49.863232 61.260543 109.699111
## 771 1.823187 1.823187 1.823187 5.469562 12.762311 14.585498
## 772 3.951476 3.951476 9.878690 13.830166 31.611807 37.539021
## 773 2.789011 5.578023 6.972528 16.734068 25.101102 34.862641
## 774 4.526443 7.242310 6.337021 9.052887 9.052887 20.821640
## 775 22.005832 45.845482 75.186591 100.860061 124.699712 128.367351
## 776 0.000000 0.000000 0.000000 0.000000 0.000000 22.946306
## 777 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
## 778 13.862210 22.278551 31.685051 48.022655 65.350417 84.163416
## 779 27.836544 33.403853 38.971161 11.134618 22.269235 33.403853
## 780 23.023862 26.707680 33.154361 49.731542 61.703950 76.899699
## 781 30.665812 35.690154 35.343648 36.729673 42.620281 49.377155
## 782 36.931141 38.122468 38.598999 41.219919 38.360734 33.833691
## 783 0.000000 0.000000 3.357507 10.072522 20.145044 47.005103
## 784 9.153039 11.187047 11.187047 7.119030 8.136034 13.221056
## 785 27.372263 27.372263 45.620438 54.744526 82.116788 91.240876
## 899 10.603892 10.603892 10.603892 10.603892 15.905837 21.207783
## 900 8.280545 12.420817 16.561090 28.981907 24.841635 33.122179
## 901 2.615336 5.230673 10.461345 15.692018 23.538027 33.999372
## 902 16.776647 19.013533 22.368863 31.316408 46.974611 61.514372
## 903 28.628686 28.628686 9.542895 9.542895 28.628686 47.714477
## 904 39.037767 53.795947 71.410549 73.314830 80.931955 78.075533
## 905 58.333709 65.594128 56.831553 53.576883 50.572572 55.079038
## 906 14.065357 18.753809 22.504571 29.068405 32.819166 36.569928
## 907 29.452189 39.269586 39.269586 29.452189 29.452189 24.543491
## 908 10.892653 16.338979 10.892653 5.446326 5.446326 5.446326
## 909 20.645819 27.234910 29.431274 35.141819 37.777456 48.759274
## 910 70.340744 96.514044 107.964862 94.878212 86.699056 83.427394
## 911 5.976572 11.953144 17.929716 11.953144 23.906287 29.882859
## 912 28.060986 18.707324 9.353662 18.707324 28.060986 46.768310
## 913 52.969219 58.854688 64.740157 41.198281 29.427344 23.541875
## 914 35.563684 25.402632 25.402632 25.402632 25.402632 20.322105
## 915 65.434689 112.818430 157.945802 160.202171 126.356642 87.998375
## 916 21.807256 28.268665 25.037961 29.076342 25.845637 33.114722
## 917 41.564199 65.809982 58.882616 48.491566 45.027883 41.564199
## 918 9.732739 11.679287 15.572382 25.305121 27.251669 31.144765
## 919 12.010569 12.010569 12.010569 36.031708 36.031708 36.031708
## 920 22.711787 9.084715 18.169430 18.169430 22.711787 13.627072
## 921 0.000000 12.963443 12.963443 51.853772 38.890329 51.853772
## 922 28.801325 43.201987 45.002070 46.802153 50.402319 46.802153
## 923 16.598888 41.497220 35.964257 41.497220 30.431294 47.030182
## 924 26.138324 36.593654 31.365989 20.910659 26.138324 31.365989
## 925 7.811279 23.433838 15.622559 15.622559 0.000000 0.000000
## 926 29.454687 48.198578 52.215126 45.520879 38.826632 46.859729
## 927 8.188220 16.376440 19.105846 24.564660 24.564660 24.564660
## 928 16.031065 30.280900 24.937212 24.937212 24.937212 39.187047
## 929 45.717769 60.957025 104.134918 129.533679 160.012191 142.233059
## 930 0.000000 0.000000 9.821253 9.821253 9.821253 9.821253
## 931 5.898313 5.898313 5.898313 0.000000 0.000000 11.796626
## 932 0.000000 0.000000 0.000000 0.000000 0.000000 17.743080
## 933 0.000000 0.000000 0.000000 41.356493 52.635537 60.154899
## actvr24 actvr25 actvr26 actvr27 actvr28 actvr29
## 270 243.609236 248.505904 238.467735 243.119569 229.164065 224.512231
## 271 175.254682 169.144886 160.784112 164.160578 170.109590 190.529173
## 272 209.700264 210.200742 190.181623 233.723206 230.219860 248.237066
## 273 186.836164 174.516363 146.733086 144.693946 143.844305 152.425684
## 274 197.043835 177.237882 157.178007 141.942659 138.641667 153.115248
## 275 138.525439 128.831413 116.824039 118.476429 115.336887 120.459299
## 276 164.799080 177.444554 197.024642 232.105635 267.594545 310.833908
## 277 406.827819 401.805254 356.602163 346.557031 346.557031 390.325104
## 278 165.577596 171.930693 153.665539 162.533403 168.489432 194.828314
## 279 216.593105 226.140660 218.229829 246.872494 250.145941 268.149902
## 280 194.801197 203.888988 194.068311 194.654620 199.345093 215.175438
## 281 289.192939 272.927331 234.894513 227.479309 246.376118 255.944123
## 282 125.660583 116.668358 112.056960 110.904111 109.520691 116.207218
## 283 176.811774 164.416722 152.021669 157.854635 147.282385 153.662191
## 284 167.534192 182.812467 169.641540 164.109751 166.217099 186.500327
## 285 186.967230 171.732863 159.499205 169.655449 182.812403 190.891234
## 661 46.029919 51.783659 37.399310 50.345224 30.207135 37.399310
## 662 64.427455 61.742977 58.521605 63.890559 79.997423 93.419809
## 663 7.666801 13.416901 19.167002 23.000403 19.167002 11.500201
## 664 25.567274 31.959092 19.175455 25.567274 44.742729 95.877277
## 665 45.182964 42.525143 43.056707 40.930450 38.804193 38.272629
## 666 180.787246 172.569644 147.916838 131.481634 123.264032 106.828827
## 667 58.024835 69.629802 77.366446 119.917992 104.444702 112.181347
## 668 7.038784 14.077567 7.038784 10.558176 3.519392 7.038784
## 669 86.162646 76.996407 65.996920 76.996407 78.829655 75.163159
## 670 44.337471 44.337471 50.671396 44.337471 57.005320 57.005320
## 671 47.132084 52.845064 54.273309 55.701554 61.414534 64.271024
## 672 535.528735 527.535769 463.592039 415.634242 383.662377 359.683479
## 673 62.465447 64.260431 59.593472 49.900558 43.438615 40.746139
## 674 91.266367 118.273762 106.166999 103.373130 100.579262 97.785394
## 675 36.726449 45.908061 33.665912 24.484299 12.242150 9.181612
## 676 76.564581 103.195739 119.840213 149.800266 146.471372 176.431425
## 677 9.024456 9.024456 27.073369 18.048913 27.073369 9.024456
## 678 96.171384 106.120148 102.803893 102.803893 86.222620 64.666965
## 679 120.431459 120.431459 81.160331 68.069955 54.979579 57.597654
## 680 94.933756 97.186421 82.705001 73.050720 66.936343 69.832627
## 681 11.985521 9.588417 7.191313 7.191313 11.985521 21.573939
## 682 136.478846 116.981868 116.981868 77.987912 51.991941 58.490934
## 683 149.317889 133.481143 115.382005 83.708513 63.346983 58.822199
## 684 158.282096 169.710407 163.424836 137.139723 113.711687 102.283376
## 685 151.506000 123.822179 98.655070 99.158412 96.641701 100.668438
## 686 29.675547 26.378264 23.080981 26.378264 26.378264 19.783698
## 687 146.311412 161.712614 169.413214 169.413214 146.311412 115.509010
## 688 34.587932 37.732289 40.876647 40.876647 47.165362 44.021004
## 689 46.273649 41.425934 39.663128 44.951545 41.425934 48.917858
## 690 50.779833 50.779833 54.406964 47.152702 65.288357 79.796881
## 691 59.843906 52.762609 42.765483 48.735988 45.820160 43.876274
## 692 11.062559 24.890757 27.656397 24.890757 16.593838 27.656397
## 693 99.545953 100.248631 88.537342 87.776108 83.150149 83.091593
## 694 19.821606 39.643211 29.732408 19.821606 0.000000 0.000000
## 695 67.197915 68.555448 65.840381 49.549978 39.368475 39.368475
## 696 70.600317 81.297334 74.879124 72.739720 59.903299 62.042702
## 697 80.280880 87.861049 79.591773 71.667051 62.019564 65.465095
## 698 31.969309 23.976982 39.961637 31.969309 15.984655 0.000000
## 699 74.768526 66.239107 57.346734 59.705935 53.898670 49.543222
## 700 44.400334 54.847472 49.623903 47.012119 28.729628 39.176766
## 701 13.730606 27.461211 27.461211 13.730606 0.000000 0.000000
## 702 49.606820 50.219250 43.482521 32.458783 26.946915 33.071213
## 703 56.039851 46.699875 43.586550 43.586550 52.926526 43.586550
## 704 61.688200 68.542445 47.979711 47.979711 41.125467 47.979711
## 705 47.421833 55.852381 52.690926 48.475652 46.368015 54.798563
## 706 62.762516 77.246174 82.074060 67.590402 62.762516 77.246174
## 707 27.755699 23.970831 18.924340 25.232454 30.278945 29.017322
## 708 65.275078 66.694101 61.018007 63.856054 66.694101 68.113125
## 709 33.990483 40.788579 40.788579 47.586676 61.182869 88.375255
## 710 11.012812 11.012812 14.683749 22.025623 22.025623 29.367498
## 711 97.531698 88.778853 81.276415 80.651212 76.274789 80.026008
## 712 33.881077 27.104862 23.716754 10.164323 13.552431 20.328646
## 713 112.796704 106.257765 99.718826 85.006212 75.197803 70.293598
## 714 144.276686 132.084290 114.608522 104.041779 93.475036 88.598078
## 715 181.897555 232.828871 218.277066 174.621653 123.690338 109.138533
## 716 25.131943 28.273436 18.848957 37.697914 31.414928 28.273436
## 717 105.802434 109.647798 91.080185 96.793296 82.400650 79.434226
## 718 99.578618 92.006769 79.856593 79.240279 70.435804 70.523849
## 719 54.995417 59.578368 50.412466 57.286893 54.995417 54.995417
## 720 57.814739 58.948361 54.187147 47.158689 41.944026 39.676782
## 721 143.545576 164.052087 194.811853 184.558597 246.078130 276.837896
## 722 99.008520 101.797493 79.485713 69.724310 71.118796 72.513282
## 723 38.221082 30.030850 32.760927 43.681236 51.871468 62.791777
## 724 74.664012 97.063216 99.552016 104.529617 77.152812 102.040816
## 725 102.131671 102.131671 86.419106 75.944063 75.944063 78.562824
## 726 0.000000 0.000000 0.000000 0.000000 23.607177 47.214353
## 727 64.745150 51.349601 39.070349 39.070349 48.000714 61.396263
## 728 57.777492 41.728189 44.938050 48.147910 64.197214 73.826796
## 729 45.798031 45.798031 22.899015 0.000000 45.798031 68.697046
## 730 53.941265 54.264267 45.220222 46.512229 42.959211 41.021202
## 731 6.637462 13.274924 13.274924 19.912386 19.912386 26.549847
## 732 177.984666 164.293538 109.529025 88.992333 54.764513 41.073384
## 733 94.690992 107.316457 110.472824 91.534625 82.065526 94.690992
## 734 44.536071 37.352833 32.324567 33.042891 36.634510 35.916186
## 735 54.897924 92.640247 89.209127 106.364728 85.778007 113.226969
## 736 121.132714 127.312955 108.772233 82.815223 67.982646 63.038453
## 737 0.000000 0.000000 30.506406 61.012813 106.772422 183.038438
## 738 29.234067 38.978757 38.978757 19.489378 58.468135 126.680959
## 739 34.869935 34.869935 27.895948 13.947974 13.947974 34.869935
## 740 7.092702 14.185403 7.092702 10.639052 3.546351 17.731754
## 741 73.114456 71.716092 68.120299 65.323571 65.723104 64.524506
## 742 100.256908 110.282599 105.269754 102.763331 114.042233 122.814713
## 743 277.574872 306.793280 255.661066 124.178232 94.959825 109.569028
## 744 43.181000 71.968334 83.963056 93.558834 76.766223 83.963056
## 745 46.056932 44.571225 47.542640 32.685565 23.771320 29.714150
## 746 11.645511 14.556888 14.556888 37.847910 46.582043 58.227553
## 747 47.023860 44.202428 39.500042 34.797656 31.035748 32.916702
## 748 81.666762 95.910964 103.507872 103.507872 99.709418 109.205553
## 749 112.410072 74.940048 59.952038 37.470024 37.470024 44.964029
## 750 90.170346 102.120633 96.688684 87.997566 68.442552 51.060316
## 751 83.494083 86.373190 70.538105 61.900786 59.021680 70.538105
## 752 106.571354 116.408709 108.210913 142.641658 145.920776 175.432844
## 753 24.163344 21.142926 21.142926 24.163344 24.163344 15.102090
## 754 42.579363 23.655202 9.462081 18.924161 28.386242 33.117282
## 755 39.296497 36.421143 28.753534 29.711985 24.919730 20.127474
## 756 42.866509 55.474305 68.082102 57.995865 42.866509 32.780271
## 757 29.778153 34.741178 54.593280 59.556306 74.445382 59.556306
## 758 17.510068 52.530205 52.530205 70.040273 52.530205 70.040273
## 759 62.210179 55.340343 47.707192 51.142110 48.852165 57.630288
## 760 77.374428 73.075848 60.180110 62.329400 77.374428 73.075848
## 761 71.552446 69.126939 70.339692 60.637666 48.510133 54.573899
## 762 23.782627 35.673940 23.782627 41.619597 35.673940 41.619597
## 763 83.706443 77.866459 72.026475 72.026475 70.079813 81.759782
## 764 108.520799 102.572644 86.446532 81.952370 74.153677 74.153677
## 765 2.664464 2.664464 0.000000 5.328928 5.328928 7.993392
## 766 144.553541 142.875126 122.524337 115.181269 102.907855 103.537261
## 767 36.875876 44.251051 51.626226 59.001401 88.502102 81.126927
## 768 87.608656 95.064712 88.229994 73.317883 72.696545 63.997813
## 769 81.043248 76.730525 69.722351 64.690841 58.401453 56.245092
## 770 111.123775 115.397766 76.931844 75.507180 61.260543 54.137224
## 771 16.408686 23.701435 30.994184 29.170997 16.408686 14.585498
## 772 49.393448 37.539021 27.660331 23.708855 25.684593 27.660331
## 773 46.018686 39.046158 36.257147 19.523079 23.706596 18.128573
## 774 26.253372 28.969238 25.348084 32.590393 32.590393 38.022125
## 775 126.533531 108.195338 102.693881 104.527700 102.693881 104.527700
## 776 22.946306 22.946306 45.892611 45.892611 45.892611 0.000000
## 777 0.000000 12.437811 12.437811 12.437811 0.000000 0.000000
## 778 94.064994 94.560073 83.668337 82.183100 68.320890 63.370101
## 779 44.538470 27.836544 27.836544 38.971161 55.673088 55.673088
## 780 90.714016 107.291197 102.686424 99.923561 90.253539 91.634970
## 781 51.802699 51.456193 45.738838 43.140041 38.115698 35.863407
## 782 31.927567 30.497975 27.638790 26.685728 26.209197 24.541339
## 783 67.150148 73.865163 83.937685 97.367714 97.367714 83.937685
## 784 23.391099 22.374095 24.408103 19.323082 19.323082 13.221056
## 785 82.116788 54.744526 18.248175 45.620438 54.744526 63.868613
## 899 21.207783 15.905837 15.905837 15.905837 21.207783 21.207783
## 900 20.701362 41.402724 33.122179 28.981907 12.420817 12.420817
## 901 70.614081 94.152108 125.536144 115.074799 107.228790 88.921435
## 902 63.751258 54.803713 48.093054 43.619282 49.211498 49.211498
## 903 47.714477 38.171581 19.085791 19.085791 28.628686 28.628686
## 904 75.219111 74.266971 68.078056 64.269494 61.889142 66.649846
## 905 55.329398 53.576883 44.063231 36.552453 34.048860 36.051734
## 906 36.569928 30.943785 22.504571 18.753809 16.878428 16.878428
## 907 14.726095 14.726095 14.726095 14.726095 9.817396 4.908698
## 908 16.338979 32.677959 38.124285 27.231632 5.446326 5.446326
## 909 50.516365 48.759274 37.338183 25.038546 22.402910 20.645819
## 910 65.433250 55.618262 37.624119 24.537469 16.358312 16.358312
## 911 35.859431 35.859431 41.836003 47.812575 41.836003 29.882859
## 912 37.414648 28.060986 9.353662 0.000000 0.000000 0.000000
## 913 23.541875 23.541875 17.656406 23.541875 29.427344 23.541875
## 914 25.402632 20.322105 15.241579 0.000000 10.161053 25.402632
## 915 65.434689 60.921952 47.383741 33.845529 20.307317 20.307317
## 916 33.114722 32.307046 23.422608 16.153523 14.538171 17.768875
## 917 48.491566 41.564199 45.027883 31.173150 24.245783 20.782100
## 918 35.037860 35.037860 23.358574 13.625835 11.679287 17.518930
## 919 12.010569 0.000000 24.021139 24.021139 24.021139 12.010569
## 920 22.711787 45.423575 45.423575 40.881217 13.627072 13.627072
## 921 12.963443 12.963443 0.000000 12.963443 64.817215 90.744102
## 922 54.002484 34.201573 32.401490 16.200745 28.801325 28.801325
## 923 60.862589 52.563145 33.197776 16.598888 13.832407 30.431294
## 924 52.276648 62.731978 99.325631 125.463955 151.602279 156.829944
## 925 7.811279 15.622559 23.433838 23.433838 46.867677 39.056397
## 926 50.876277 42.843181 28.115837 17.405042 18.743891 18.743891
## 927 23.654857 23.654857 23.654857 23.654857 25.474462 29.113671
## 928 56.999341 53.436882 42.749506 21.374753 16.031065 23.155982
## 929 149.852687 111.754546 91.435538 45.717769 45.717769 40.638017
## 930 68.748772 68.748772 58.927519 0.000000 0.000000 0.000000
## 931 11.796626 23.593252 23.593252 29.491565 17.694939 5.898313
## 932 17.743080 17.743080 0.000000 0.000000 0.000000 0.000000
## 933 30.077449 22.558087 15.038725 3.759681 0.000000 0.000000
## actvr30 actvr31 actvr32 dethrt1 dethrt2 dethrt3 dethrt4 dethrt5
## 270 219.370729 174.811050 105.7680301 0 0 0 0 0
## 271 195.031128 163.678226 90.8430233 0 0 0 0 0
## 272 250.739456 207.197874 139.6333498 0 0 0 0 0
## 273 146.393229 119.374630 68.2262119 0 0 0 0 0
## 274 152.353480 134.324985 77.4463525 0 0 0 0 0
## 275 114.345452 96.664869 56.0711321 0 0 0 0 0
## 276 334.493182 310.425989 191.3137832 0 0 0 0 0
## 277 383.867519 294.896356 147.0894232 0 0 0 0 0
## 278 187.813436 156.180306 86.0315246 0 0 0 0 0
## 279 252.055452 211.682934 120.0264058 0 0 0 0 0
## 280 216.494634 170.615947 98.4999282 0 0 0 0 0
## 281 272.209731 219.585705 132.0384634 0 0 0 0 0
## 282 107.445562 94.072510 56.2590499 0 0 0 0 0
## 283 147.646945 123.403681 67.9905068 0 0 0 0 0
## 284 195.719976 150.675405 85.6110256 0 0 0 0 0
## 285 197.354298 169.193802 108.4871581 0 0 0 0 0
## 661 31.645570 28.768700 12.9459148 0 0 0 0 0
## 662 81.608109 51.005068 18.2544455 0 0 0 0 0
## 663 9.583501 9.583501 7.6668008 0 0 0 0 0
## 664 134.228188 108.660914 51.1345478 0 0 0 0 0
## 665 31.362293 24.983522 10.0997215 0 0 0 0 0
## 666 82.176021 57.523215 16.4352042 0 0 0 0 0
## 667 77.366446 69.629802 34.8149008 0 0 0 0 0
## 668 3.519392 3.519392 0.0000000 0 0 0 0 0
## 669 64.163672 49.497690 27.4987167 0 0 0 0 0
## 670 60.172283 41.170509 22.1687357 0 0 0 0 0
## 671 51.416819 32.849634 14.2824497 0 0 0 0 0
## 672 271.760850 159.859324 71.9366957 0 0 0 0 0
## 673 38.053663 27.463257 12.7443871 0 0 0 0 0
## 674 95.922815 58.671236 34.4577101 0 0 0 0 0
## 675 21.423762 18.363225 18.3632246 0 0 0 0 0
## 676 136.484687 96.537949 36.6178429 0 0 0 0 0
## 677 9.024456 9.024456 9.0244563 0 0 0 0 0
## 678 43.111310 29.846292 8.2906366 0 0 0 0 0
## 679 57.597654 47.125353 31.4169023 0 0 0 0 0
## 680 65.327296 51.167685 28.6410313 0 0 0 0 0
## 681 19.176834 14.382626 2.3971043 0 0 0 0 0
## 682 58.490934 58.490934 19.4969780 0 0 0 0 0
## 683 47.510237 31.673492 15.8367458 0 0 0 0 0
## 684 95.997806 73.141185 35.9991772 0 0 0 0 0
## 685 94.376661 76.759684 46.0558106 0 0 0 0 0
## 686 29.675547 36.270113 32.9728304 0 0 0 0 0
## 687 69.305406 53.904205 23.1018019 0 0 0 0 0
## 688 37.732289 25.154860 12.5774298 0 0 0 0 0
## 689 45.392246 40.544531 20.7129668 0 0 0 0 0
## 690 87.051143 61.661226 29.0170475 0 0 0 0 0
## 691 32.351810 24.020872 13.3295011 0 0 0 0 0
## 692 27.656397 22.125118 8.2969191 0 0 0 0 0
## 693 68.686708 48.484735 24.2423675 0 0 0 0 0
## 694 9.910803 9.910803 19.8216056 0 0 0 0 0
## 695 37.332175 32.580807 14.9328700 0 0 0 0 0
## 696 59.903299 42.788071 17.1152283 0 0 0 0 0
## 697 66.498754 53.750289 34.1107600 0 0 0 0 0
## 698 0.000000 0.000000 0.0000000 0 0 0 0 0
## 699 39.561987 31.395522 19.0550855 0 0 0 0 0
## 700 47.012119 67.906394 41.7885499 0 0 0 0 0
## 701 0.000000 0.000000 0.0000000 0 0 0 0 0
## 702 34.296073 33.071213 15.9231768 0 0 0 0 0
## 703 34.246575 24.906600 15.5666252 0 0 0 0 0
## 704 54.833956 37.698345 17.1356112 0 0 0 0 0
## 705 60.067655 59.013837 40.0451034 0 0 0 0 0
## 706 62.762516 43.450973 9.6557717 0 0 0 0 0
## 707 17.662718 11.354604 6.3081135 0 0 0 0 0
## 708 70.951171 55.341914 36.8946091 0 0 0 0 0
## 709 88.375255 61.182869 20.3942896 0 0 0 0 0
## 710 25.696560 22.025623 7.3418744 0 0 0 0 0
## 711 66.896741 50.016255 19.3812989 0 0 0 0 0
## 712 37.269185 40.657293 27.1048619 0 0 0 0 0
## 713 52.311515 29.425227 9.8084091 0 0 0 0 0
## 714 88.191664 67.058178 36.5771880 0 0 0 0 0
## 715 130.966240 123.690338 80.0349243 0 0 0 0 0
## 716 18.848957 15.707464 12.5659713 0 0 0 0 0
## 717 61.415951 46.364099 24.0609897 0 0 0 0 0
## 718 65.417253 56.084509 33.5450516 0 0 0 0 0
## 719 45.829514 38.955087 22.9147571 0 0 0 0 0
## 720 33.328497 25.619865 12.6965701 0 0 0 0 0
## 721 266.584641 153.798831 41.0130216 0 0 0 0 0
## 722 71.118796 47.412531 19.5228068 0 0 0 0 0
## 723 76.442163 60.061700 35.4910044 0 0 0 0 0
## 724 94.574415 87.108014 37.3320060 0 0 0 0 0
## 725 62.850259 41.900173 10.4750432 0 0 0 0 0
## 726 70.821530 47.214353 23.6071766 0 0 0 0 0
## 727 54.698489 40.186645 14.5118439 0 0 0 0 0
## 728 64.197214 44.938050 22.4690248 0 0 0 0 0
## 729 68.697046 22.899015 0.0000000 0 0 0 0 0
## 730 34.561170 23.256114 12.9200636 0 0 0 0 0
## 731 26.549847 33.187309 19.9123855 0 0 0 0 0
## 732 20.536692 13.691128 13.6911281 0 0 0 0 0
## 733 82.065526 59.970961 22.0945647 0 0 0 0 0
## 734 35.197862 26.577978 14.3664744 0 0 0 0 0
## 735 99.502488 78.915766 30.8800823 0 0 0 0 0
## 736 69.218694 54.386117 32.1372508 0 0 0 0 0
## 737 152.532032 106.772422 0.0000000 0 0 0 0 0
## 738 126.680959 77.957513 0.0000000 0 0 0 0 0
## 739 34.869935 41.843922 20.9219611 0 0 0 0 0
## 740 28.370806 28.370806 14.1854032 0 0 0 0 0
## 741 62.726610 46.146009 26.3691481 0 0 0 0 0
## 742 117.801867 72.686259 35.0899179 0 0 0 0 0
## 743 153.396640 109.569028 58.4368152 0 0 0 0 0
## 744 74.367278 59.973612 26.3883891 0 0 0 0 0
## 745 44.571225 49.028347 25.2570274 0 0 0 0 0
## 746 40.759287 32.025154 11.6455107 0 0 0 0 0
## 747 32.916702 28.214316 14.1071580 0 0 0 0 0
## 748 96.860578 74.069854 30.3876322 0 0 0 0 0
## 749 44.964029 29.976019 14.9880096 0 0 0 0 0
## 750 53.233096 41.282809 26.0733530 0 0 0 0 0
## 751 63.340339 43.186595 15.8350848 0 0 0 0 0
## 752 129.525184 93.454879 34.4307450 0 0 0 0 0
## 753 18.122508 9.061254 9.0612541 0 0 0 0 0
## 754 28.386242 42.579363 28.3862421 0 0 0 0 0
## 755 11.501414 4.792256 0.9584511 0 0 0 0 0
## 756 37.823390 30.258712 20.1724747 0 0 0 0 0
## 757 84.371433 64.519331 49.6302546 0 0 0 0 0
## 758 35.020137 35.020137 17.5100683 0 0 0 0 0
## 759 52.287083 41.219014 20.2278496 0 0 0 0 0
## 760 62.329400 34.388635 17.1943173 0 0 0 0 0
## 761 49.722886 44.871873 21.8295596 0 0 0 0 0
## 762 23.782627 23.782627 11.8913134 0 0 0 0 0
## 763 91.493089 81.759782 50.6131984 0 0 0 0 0
## 764 63.843540 46.792160 24.9822547 0 0 0 0 0
## 765 10.657856 10.657856 7.9933921 0 0 0 0 0
## 766 94.620678 76.892414 40.4917758 0 0 0 0 0
## 767 73.751752 59.001401 44.2510510 0 0 0 0 0
## 768 56.541757 32.930913 18.0188017 0 0 0 0 0
## 769 48.518131 35.579962 17.0711941 0 0 0 0 0
## 770 59.835879 54.137224 34.1919307 0 0 0 0 0
## 771 20.055060 27.347809 18.2318730 0 0 0 0 0
## 772 19.757379 17.781641 11.8544276 0 0 0 0 0
## 773 15.339562 6.972528 2.7890113 0 0 0 0 0
## 774 29.874527 24.442795 9.9581757 0 0 0 0 0
## 775 89.857145 62.349856 25.6734701 0 0 0 0 0
## 776 0.000000 22.946306 22.9463056 0 0 0 0 0
## 777 43.532338 43.532338 43.5323383 0 0 0 0 0
## 778 50.002970 43.071866 26.2391825 0 0 0 0 0
## 779 61.240396 55.673088 38.9711613 0 0 0 0 0
## 780 78.281131 56.638700 28.5495888 0 0 0 0 0
## 781 29.799546 20.790381 11.6079627 0 0 0 0 0
## 782 23.111746 17.631642 11.4367405 0 0 0 0 0
## 783 70.507655 53.720118 26.8600591 0 0 0 0 0
## 784 8.136034 5.085022 2.0340086 0 0 0 0 0
## 785 27.372263 18.248175 9.1240876 0 0 0 0 0
## 899 15.905837 15.905837 10.6038916 0 0 0 0 0
## 900 16.561090 16.561090 12.4208173 0 0 0 0 0
## 901 73.229417 54.922063 26.1533633 0 0 0 0 0
## 902 44.737725 42.500839 27.9610782 0 0 0 0 0
## 903 47.714477 47.714477 47.7144766 0 0 0 0 0
## 904 69.506267 63.317353 38.0856260 0 0 0 0 0
## 905 36.302094 33.548142 24.0344895 0 0 0 0 0
## 906 15.940738 19.691500 15.9407380 0 0 0 0 0
## 907 24.543491 29.452189 29.4521893 0 0 0 0 0
## 908 10.892653 16.338979 10.8926529 0 0 0 0 0
## 909 30.749092 32.506183 25.4778189 0 0 0 0 0
## 910 16.358312 11.450819 4.9074937 0 0 0 0 0
## 911 35.859431 47.812575 41.8360029 0 0 0 0 0
## 912 37.414648 56.121972 56.1219718 0 0 0 0 0
## 913 11.770938 11.770938 11.7709376 0 0 0 0 0
## 914 30.483158 25.402632 10.1610527 0 0 0 0 0
## 915 24.820055 22.563686 13.5382116 0 0 0 0 0
## 916 16.961199 16.153523 9.6921139 0 0 0 0 0
## 917 31.173150 20.782100 13.8547331 0 0 0 0 0
## 918 17.518930 15.572382 7.7861912 0 0 0 0 0
## 919 36.031708 48.042277 36.0317079 0 0 0 0 0
## 920 18.169430 18.169430 13.6270725 0 0 0 0 0
## 921 103.707545 77.780659 51.8537724 0 0 0 0 0
## 922 34.201573 21.600994 10.8004968 0 0 0 0 0
## 923 27.664813 33.197776 16.5988879 0 0 0 0 0
## 924 146.374614 99.325631 47.0489832 0 0 0 0 0
## 925 62.490236 46.867677 46.8676769 0 0 0 0 0
## 926 14.727343 13.388494 8.0330964 0 0 0 0 0
## 927 33.662682 26.384264 15.4666376 0 0 0 0 0
## 928 32.062129 32.062129 19.5935234 0 0 0 0 0
## 929 40.638017 25.398761 12.6993803 0 0 0 0 0
## 930 0.000000 9.821253 9.8212532 0 0 0 0 0
## 931 0.000000 0.000000 0.0000000 0 0 0 0 0
## 932 0.000000 0.000000 0.0000000 0 0 0 0 0
## 933 0.000000 3.759681 3.7596812 0 0 0 0 0
## dethrt6 dethrt7 dethrt8 dethrt9 dthrt10 dthrt11 dthrt12 dthrt13
## 270 0 0 0 0 0 0 0.0000000 0.00000000
## 271 0 0 0 0 0 0 0.0000000 0.00000000
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## dthrt14 dthrt15 dthrt16 dthrt17 dthrt18 dthrt19 dthrt20
## 270 0.4896668 0.9793336 1.4690004 3.6725010 3.4276676 9.3036693 8.0795023
## 271 0.1607841 1.1254888 1.2862729 3.0548981 1.7686252 4.1803869 4.8235234
## 272 1.0009559 0.5004780 1.5014339 2.5023898 0.5004780 2.0019118 5.5052575
## 273 0.4248207 2.2090679 1.6143188 3.1436735 6.2873471 6.9670602 8.3264866
## 274 0.2539225 0.7617674 1.7774573 6.6019842 5.0784493 7.6176740 11.6804335
## 275 0.3304782 0.8261955 1.8176300 4.1860570 6.3341652 6.9951216 9.5838674
## 276 0.4079185 1.6316741 1.2237555 0.0000000 3.6712666 1.6316741 6.5266962
## 277 0.0000000 0.0000000 0.7175094 2.1525281 3.5875469 5.0225657 2.8700375
## 278 0.2647124 1.4559181 1.4559181 3.0441924 3.8383296 4.1030419 6.6178096
## 279 0.2727873 0.2727873 0.5455746 1.3639364 4.3645966 3.8190220 3.8190220
## 280 0.4397318 0.4397318 1.4657727 2.0520818 2.0520818 4.6904728 3.2247000
## 281 0.7176003 0.9568005 0.9568005 1.4352007 2.8704014 4.5448022 5.5016026
## 282 0.4611398 0.9222795 1.1528494 2.0751289 5.3031072 4.8419674 5.5336770
## 283 0.5468405 1.6405216 2.1873622 2.9164829 6.0152459 5.8329657 6.7443666
## 284 0.2634185 1.0536742 0.7902556 2.3707669 4.7415337 6.5854635 3.1610225
## 285 0.6924712 0.9232950 2.5390611 3.2315324 3.9240036 5.7705935 9.2329496
## 661 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 2.8768700 1.4384350
## 662 0.0000000 0.0000000 0.0000000 0.0000000 0.5368955 1.6106864 0.0000000
## 663 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 664 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 665 0.0000000 0.0000000 0.5315643 0.5315643 0.5315643 0.5315643 2.1262571
## 666 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 667 0.0000000 0.0000000 3.8683223 0.0000000 0.0000000 0.0000000 0.0000000
## 668 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 3.5193918 0.0000000
## 669 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.8332478 0.0000000
## 670 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 671 0.0000000 0.0000000 0.0000000 1.4282450 4.2847349 0.0000000 0.0000000
## 672 0.0000000 15.9859324 0.0000000 0.0000000 0.0000000 0.0000000 7.9929662
## 673 0.0000000 0.5384952 0.8974920 2.6924761 2.6924761 2.5129777 2.6924761
## 674 0.0000000 0.0000000 0.9312895 1.8625789 0.9312895 0.0000000 0.0000000
## 675 0.0000000 0.0000000 0.0000000 3.0605374 0.0000000 0.0000000 3.0605374
## 676 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 677 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 678 0.0000000 0.0000000 0.0000000 0.0000000 1.6581273 0.0000000 1.6581273
## 679 0.0000000 0.0000000 0.0000000 2.6180752 2.6180752 5.2361504 2.6180752
## 680 0.0000000 0.6436187 1.2872374 0.9654280 1.6090467 2.2526654 4.1835214
## 681 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 2.3971043 0.0000000
## 682 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 683 0.0000000 0.0000000 2.2623923 2.2623923 4.5247845 0.0000000 0.0000000
## 684 0.0000000 0.5714155 1.7142465 1.1428310 3.9999086 1.7142465 5.1427396
## 685 0.0000000 0.5033422 1.7616977 3.5233953 3.7750664 3.2717242 4.5300797
## 686 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 687 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 688 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 3.1443575
## 689 0.0000000 0.0000000 0.0000000 0.0000000 2.6442085 1.3221043 1.3221043
## 690 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 3.6271309
## 691 0.0000000 0.5553959 1.6661876 4.0266201 3.4712242 2.4992815 2.6381304
## 692 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 693 0.0000000 0.2927822 1.0540160 1.8152497 3.0449350 3.6890559 3.5719430
## 694 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 9.9108028
## 695 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.6787668 1.3575336
## 696 0.0000000 0.0000000 0.0000000 0.0000000 2.1394035 0.0000000 2.1394035
## 697 0.0000000 0.3445531 0.3445531 0.3445531 0.3445531 0.6891063 2.4118719
## 698 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 699 0.3629540 0.5444310 0.3629540 1.2703390 4.1739711 3.4480631 5.6257872
## 700 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 701 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 702 0.0000000 0.0000000 1.8372896 4.2870091 4.8994390 3.6745793 3.6745793
## 703 0.0000000 0.0000000 3.1133250 0.0000000 6.2266501 3.1133250 6.2266501
## 704 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 10.2813667
## 705 0.0000000 0.0000000 0.0000000 0.0000000 2.1076370 1.0538185 0.0000000
## 706 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 707 0.0000000 0.0000000 0.0000000 0.0000000 1.2616227 1.2616227 0.0000000
## 708 0.0000000 0.0000000 0.0000000 1.4190234 0.0000000 1.4190234 1.4190234
## 709 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 6.7980965
## 710 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 711 0.0000000 0.0000000 0.0000000 0.0000000 1.2504064 0.6252032 3.7512191
## 712 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 713 0.0000000 0.0000000 0.0000000 1.6347348 0.0000000 0.0000000 1.6347348
## 714 0.0000000 0.0000000 0.8128264 0.0000000 0.8128264 1.2192396 1.6256528
## 715 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 7.2759022 0.0000000
## 716 0.0000000 0.0000000 0.0000000 3.1414928 0.0000000 0.0000000 0.0000000
## 717 0.2197351 0.2197351 0.6592052 2.4170857 2.9664234 3.9552312 4.7243039
## 718 0.3521790 0.6163133 1.5848056 2.2891636 4.8424615 5.9870433 6.0750881
## 719 0.0000000 0.0000000 0.0000000 0.0000000 2.2914757 0.0000000 2.2914757
## 720 0.2267245 0.6801734 0.4534489 1.3603468 1.8137957 4.3077649 3.1741425
## 721 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 722 0.0000000 0.0000000 1.3944862 0.0000000 0.0000000 0.0000000 2.7889724
## 723 0.0000000 0.0000000 0.0000000 2.7300773 0.0000000 2.7300773 2.7300773
## 724 0.0000000 0.0000000 0.0000000 0.0000000 4.9776008 4.9776008 0.0000000
## 725 0.0000000 0.0000000 0.0000000 5.2375216 5.2375216 2.6187608 2.6187608
## 726 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 727 0.0000000 0.0000000 0.0000000 1.1162957 0.0000000 2.2325914 2.2325914
## 728 0.0000000 0.0000000 0.0000000 0.0000000 6.4197214 3.2098607 0.0000000
## 729 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 730 0.0000000 0.3230016 0.6460032 1.9380095 3.5530175 1.9380095 4.8450238
## 731 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 732 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 733 0.0000000 0.0000000 3.1563664 0.0000000 0.0000000 0.0000000 0.0000000
## 734 0.0000000 0.0000000 0.7183237 0.0000000 2.8732949 2.1549712 2.8732949
## 735 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 736 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 6.1802405
## 737 0.0000000 0.0000000 15.2532032 0.0000000 0.0000000 0.0000000 0.0000000
## 738 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 739 0.0000000 0.0000000 0.0000000 0.0000000 13.9479741 6.9739870 6.9739870
## 740 0.0000000 0.0000000 0.0000000 3.5463508 0.0000000 0.0000000 0.0000000
## 741 0.1997663 0.3995325 0.1997663 0.7990651 2.3971953 1.3983639 2.7967278
## 742 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.2532114 1.2532114
## 743 0.0000000 0.0000000 0.0000000 0.0000000 7.3046019 0.0000000 0.0000000
## 744 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 4.7978889 2.3989445
## 745 0.0000000 0.0000000 0.0000000 0.0000000 2.9714150 1.4857075 0.0000000
## 746 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 747 0.0000000 0.0000000 0.0000000 1.8809544 2.8214316 1.8809544 2.8214316
## 748 0.0000000 0.0000000 0.0000000 0.9496135 1.8992270 1.8992270 0.9496135
## 749 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 750 0.0000000 0.0000000 1.0863897 0.0000000 0.0000000 2.1727794 0.0000000
## 751 0.0000000 0.0000000 1.4395532 0.0000000 0.0000000 2.8791063 4.3186595
## 752 0.0000000 0.0000000 1.6395593 1.6395593 4.9186779 0.0000000 0.0000000
## 753 0.0000000 0.0000000 0.0000000 0.0000000 3.0204180 6.0408361 3.0204180
## 754 0.0000000 0.0000000 0.0000000 4.7310404 4.7310404 4.7310404 0.0000000
## 755 0.0000000 0.0000000 0.9584511 0.0000000 3.8338046 1.9169023 0.9584511
## 756 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 757 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 758 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 17.5100683
## 759 0.0000000 0.3816575 0.7633151 1.5266302 4.5798905 3.0532603 1.9082877
## 760 0.0000000 0.0000000 0.0000000 2.1492897 2.1492897 0.0000000 0.0000000
## 761 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 2.4255066 1.2127533
## 762 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 763 0.0000000 0.0000000 0.0000000 1.9466615 1.9466615 0.0000000 3.8933230
## 764 0.2643625 0.3965437 1.1896312 1.7183561 2.1148999 2.2470811 3.0401686
## 765 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 766 0.0000000 0.1049010 0.2098019 0.7343068 0.7343068 1.2588117 2.4127224
## 767 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 768 0.6213380 0.0000000 1.8640140 1.2426760 1.2426760 3.1066899 1.8640140
## 769 0.1796968 0.5390903 1.0781807 2.1563614 1.9766646 3.5939356 4.1330259
## 770 0.0000000 0.0000000 0.0000000 1.4246638 0.0000000 1.4246638 2.8493276
## 771 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 772 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 773 0.0000000 0.0000000 0.0000000 0.0000000 1.3945056 0.0000000 0.0000000
## 774 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.8105774 1.8105774
## 775 0.0000000 0.0000000 0.0000000 3.6676386 0.0000000 9.1690965 1.8338193
## 776 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 777 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 778 0.0000000 0.0000000 0.9901578 0.4950789 0.9901578 1.9803157 0.9901578
## 779 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 780 0.0000000 0.4604772 1.8419090 0.0000000 3.2233407 0.9209545 2.3023862
## 781 0.5197595 0.5197595 0.5197595 1.5592786 4.3313294 4.3313294 3.1185571
## 782 0.2382654 0.0000000 1.4295926 3.3357160 7.8627591 3.8122468 3.5739814
## 783 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 784 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 4.0680172 0.0000000
## 785 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 899 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 900 0.0000000 0.0000000 8.2805449 0.0000000 0.0000000 0.0000000 0.0000000
## 901 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 2.6153363 0.0000000
## 902 0.0000000 0.0000000 0.0000000 0.0000000 1.1184431 2.2368863 4.4737725
## 903 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 9.5428953 0.0000000
## 904 0.0000000 0.0000000 0.4760703 0.9521407 3.8085626 6.6649846 6.1889142
## 905 0.5007185 0.0000000 0.7510778 4.2561075 6.0086224 9.5136521 5.7582631
## 906 0.0000000 0.0000000 0.0000000 1.8753809 1.8753809 0.9376905 2.8130714
## 907 0.0000000 4.9086982 0.0000000 0.0000000 4.9086982 4.9086982 0.0000000
## 908 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 5.4463265 0.0000000
## 909 0.0000000 0.0000000 0.8785455 0.4392727 0.8785455 2.6356364 3.0749092
## 910 0.0000000 1.6358312 0.0000000 3.2716625 8.1791562 13.0866500 13.0866500
## 911 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 912 0.0000000 0.0000000 0.0000000 9.3536620 0.0000000 0.0000000 0.0000000
## 913 0.0000000 0.0000000 0.0000000 5.8854688 0.0000000 5.8854688 5.8854688
## 914 0.0000000 0.0000000 0.0000000 0.0000000 5.0805263 0.0000000 5.0805263
## 915 0.0000000 2.2563686 0.0000000 4.5127372 9.0254744 11.2818430 20.3073174
## 916 0.8076762 0.0000000 0.8076762 3.2307046 4.0383808 4.0383808 2.4230285
## 917 0.0000000 0.0000000 0.0000000 0.0000000 6.9273666 6.9273666 6.9273666
## 918 0.0000000 0.0000000 0.0000000 1.9465478 3.8930956 0.0000000 1.9465478
## 919 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 920 0.0000000 0.0000000 0.0000000 4.5423575 4.5423575 0.0000000 4.5423575
## 921 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 922 0.0000000 0.0000000 0.0000000 0.0000000 7.2003312 5.4002484 7.2003312
## 923 0.0000000 2.7664813 0.0000000 0.0000000 5.5329626 2.7664813 11.0659252
## 924 0.0000000 0.0000000 0.0000000 0.0000000 5.2276648 5.2276648 0.0000000
## 925 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 7.8112795
## 926 0.0000000 0.0000000 1.3388494 1.3388494 4.0165482 8.0330964 2.6776988
## 927 0.0000000 0.0000000 0.0000000 0.9098022 0.0000000 0.9098022 2.7294066
## 928 0.0000000 0.0000000 0.0000000 3.5624588 3.5624588 0.0000000 0.0000000
## 929 0.0000000 0.0000000 0.0000000 5.0797521 10.1595042 7.6196282 10.1595042
## 930 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 931 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 932 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 933 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## dthrt21 dthrt22 dthrt23 dthrt24 dthrt25 dthrt26
## 270 10.7726697 11.5071699 10.7726697 10.5278363 11.5071699 9.3036693
## 271 5.7882280 5.4666598 6.5921486 5.4666598 5.9490121 5.3058757
## 272 4.0038237 4.5043016 5.5052575 9.0086032 3.0028677 2.5023898
## 273 9.9408055 9.6859130 10.2806621 12.5746941 9.5159847 6.5422395
## 274 12.4422009 9.3951313 7.3637516 8.8872864 6.6019842 5.5862943
## 275 9.6940268 6.9951216 6.6095637 6.0587667 5.6732088 3.4700209
## 276 4.8950222 2.0395926 7.7504518 4.0791851 4.0791851 2.8554296
## 277 2.1525281 5.0225657 2.8700375 4.3050563 5.0225657 7.8926032
## 278 5.2942477 7.9413715 7.4119467 8.0737277 5.4266039 4.2353981
## 279 6.0013203 4.6373839 5.4557457 4.6373839 6.5468949 3.2734474
## 280 6.5959773 3.8110091 4.5438955 4.2507409 5.1302046 3.3712773
## 281 5.7408028 6.9368033 6.4584031 9.5680046 3.8272018 5.0232024
## 282 5.0725373 2.7668385 4.3808277 5.3031072 3.2279783 2.9974084
## 283 9.4785693 9.1140090 9.6608495 6.7443666 5.2861252 5.6506856
## 284 6.8488821 6.5854635 5.7952079 4.2146966 3.6878596 3.4244410
## 285 10.6178921 9.6945971 8.5404784 8.5404784 10.1562446 5.7705935
## 661 1.4384350 2.8768700 2.8768700 0.0000000 0.0000000 1.4384350
## 662 2.1475818 1.6106864 1.6106864 2.1475818 1.6106864 1.6106864
## 663 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 1.9167002
## 664 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 665 1.5946929 2.1262571 1.0631286 2.6578214 2.1262571 0.5315643
## 666 8.2176021 0.0000000 0.0000000 16.4352042 8.2176021 8.2176021
## 667 3.8683223 3.8683223 0.0000000 0.0000000 0.0000000 0.0000000
## 668 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 3.5193918
## 669 3.6664956 1.8332478 0.0000000 1.8332478 1.8332478 1.8332478
## 670 0.0000000 6.3339245 3.1669622 0.0000000 0.0000000 3.1669622
## 671 1.4282450 2.8564899 0.0000000 1.4282450 1.4282450 2.8564899
## 672 7.9929662 31.9718648 31.9718648 55.9507633 7.9929662 39.9648309
## 673 2.8719746 3.9489650 3.9489650 3.2309714 3.2309714 1.6154857
## 674 2.7938684 4.6564473 4.6564473 0.9312895 1.8625789 5.5877368
## 675 3.0605374 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 676 0.0000000 3.3288948 3.3288948 0.0000000 0.0000000 9.9866844
## 677 9.0244563 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 678 4.9743819 4.9743819 4.9743819 11.6068912 6.6325092 1.6581273
## 679 0.0000000 0.0000000 5.2361504 5.2361504 7.8542256 2.6180752
## 680 3.8617121 2.2526654 3.8617121 6.1143775 4.8271401 3.5399027
## 681 2.3971043 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 682 6.4989927 0.0000000 0.0000000 12.9979853 0.0000000 0.0000000
## 683 2.2623923 4.5247845 6.7871768 0.0000000 11.3119613 4.5247845
## 684 4.5713241 6.2855706 3.4284931 5.1427396 3.4284931 5.1427396
## 685 7.0467907 8.8084884 8.3051462 7.8018040 6.5434485 4.0267375
## 686 0.0000000 3.2972830 0.0000000 0.0000000 0.0000000 0.0000000
## 687 0.0000000 0.0000000 7.7006006 7.7006006 23.1018019 7.7006006
## 688 0.0000000 0.0000000 0.0000000 0.0000000 3.1443575 0.0000000
## 689 0.8814028 0.4407014 5.2884170 3.5256114 2.2035071 1.3221043
## 690 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 3.6271309
## 691 4.5820160 3.4712242 3.0546773 4.8597139 2.3604325 1.6661876
## 692 0.0000000 8.2969191 2.7656397 0.0000000 0.0000000 0.0000000
## 693 5.0944106 4.6259590 5.4457492 5.6214185 4.9187412 4.6845155
## 694 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 695 2.0363004 2.0363004 2.7150673 2.7150673 0.6787668 4.0726009
## 696 0.0000000 0.0000000 2.1394035 6.4182106 4.2788071 2.1394035
## 697 1.7227657 3.1009782 1.7227657 3.7900844 1.3782125 1.3782125
## 698 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 699 4.5369251 5.9887412 3.2665861 4.1739711 4.3554481 2.9036321
## 700 0.0000000 0.0000000 5.2235687 2.6117844 2.6117844 0.0000000
## 701 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 702 2.4497195 1.8372896 3.0621494 3.0621494 9.7988780 3.0621494
## 703 0.0000000 3.1133250 3.1133250 3.1133250 12.4533001 0.0000000
## 704 0.0000000 0.0000000 10.2813667 0.0000000 6.8542445 3.4271222
## 705 2.1076370 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 706 0.0000000 4.8278859 0.0000000 4.8278859 0.0000000 0.0000000
## 707 1.2616227 3.7848681 0.0000000 1.2616227 5.0464908 2.5232454
## 708 0.0000000 4.2570703 5.6760937 1.4190234 1.4190234 1.4190234
## 709 13.5961931 0.0000000 6.7980965 0.0000000 0.0000000 0.0000000
## 710 0.0000000 3.6709372 0.0000000 3.6709372 3.6709372 0.0000000
## 711 1.8756096 7.5024383 5.6268287 6.2520319 8.1276415 3.1260160
## 712 0.0000000 6.7762155 3.3881077 6.7762155 6.7762155 0.0000000
## 713 3.2694697 4.9042045 4.9042045 8.1736742 3.2694697 6.5389394
## 714 5.2833716 5.6897848 8.1282640 7.7218508 8.5346772 6.0961980
## 715 7.2759022 0.0000000 0.0000000 14.5518044 7.2759022 14.5518044
## 716 0.0000000 0.0000000 3.1414928 3.1414928 0.0000000 0.0000000
## 717 5.6032442 7.3611247 6.7019195 6.8117870 5.6032442 4.0650987
## 718 5.9870433 5.4587748 6.7794461 5.6348643 5.3707300 4.4902825
## 719 2.2914757 6.8744271 0.0000000 2.2914757 0.0000000 0.0000000
## 720 1.5870713 4.0810404 3.6275915 3.1741425 3.1741425 1.1336223
## 721 0.0000000 0.0000000 10.2532554 0.0000000 10.2532554 0.0000000
## 722 0.0000000 1.3944862 4.1834586 1.3944862 8.3669172 1.3944862
## 723 0.0000000 2.7300773 5.4601545 0.0000000 2.7300773 0.0000000
## 724 0.0000000 0.0000000 2.4888004 2.4888004 2.4888004 2.4888004
## 725 5.2375216 5.2375216 5.2375216 2.6187608 13.0938040 7.8562824
## 726 23.6071766 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 727 1.1162957 1.1162957 4.4651827 2.2325914 4.4651827 3.3488871
## 728 0.0000000 0.0000000 0.0000000 0.0000000 3.2098607 3.2098607
## 729 0.0000000 0.0000000 0.0000000 22.8990153 0.0000000 0.0000000
## 730 3.2300159 6.1370302 5.1680254 3.8760191 3.2300159 3.8760191
## 731 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 732 6.8455641 13.6911281 0.0000000 6.8455641 13.6911281 0.0000000
## 733 0.0000000 0.0000000 3.1563664 18.9381983 6.3127328 9.4690992
## 734 2.1549712 2.1549712 2.8732949 2.1549712 2.8732949 0.0000000
## 735 0.0000000 0.0000000 0.0000000 3.4311203 0.0000000 0.0000000
## 736 4.9441924 7.4162886 3.7081443 13.5965292 13.5965292 6.1802405
## 737 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 738 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 739 13.9479741 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 740 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 741 3.1962604 2.5969616 4.5946243 3.1962604 4.1950917 4.1950917
## 742 0.0000000 1.2532114 2.5064227 5.0128454 2.5064227 3.7596341
## 743 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 744 4.7978889 4.7978889 2.3989445 4.7978889 4.7978889 4.7978889
## 745 0.0000000 2.9714150 1.4857075 4.4571225 1.4857075 2.9714150
## 746 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 747 0.9404772 1.8809544 1.8809544 1.8809544 0.9404772 0.9404772
## 748 2.8488405 2.8488405 0.9496135 7.5969081 4.7480675 1.8992270
## 749 0.0000000 0.0000000 0.0000000 14.9880096 7.4940048 0.0000000
## 750 1.0863897 5.4319485 8.6911177 2.1727794 4.3455588 6.5183383
## 751 4.3186595 7.1977658 1.4395532 4.3186595 2.8791063 5.7582127
## 752 4.9186779 6.5582371 8.1977964 6.5582371 4.9186779 9.8373557
## 753 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 754 0.0000000 0.0000000 0.0000000 4.7310404 0.0000000 0.0000000
## 755 3.8338046 1.9169023 3.8338046 2.8753534 0.9584511 2.8753534
## 756 7.5646780 0.0000000 0.0000000 2.5215593 0.0000000 10.0862373
## 757 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 4.9630255
## 758 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 759 2.6716028 1.1449726 2.6716028 3.4349178 2.2899452 1.1449726
## 760 0.0000000 0.0000000 0.0000000 2.1492897 0.0000000 6.4478690
## 761 4.8510133 2.4255066 1.2127533 4.8510133 7.2765199 2.4255066
## 762 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 763 1.9466615 1.9466615 1.9466615 3.8933230 1.9466615 3.8933230
## 764 4.6263435 4.6263435 5.6837934 4.8907059 5.6837934 3.5688935
## 765 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 766 5.8744545 4.6156428 5.7695535 6.5038604 7.0283652 5.1401477
## 767 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 7.3751752
## 768 0.6213380 0.6213380 1.8640140 6.2133799 3.7280279 4.9707039
## 769 4.6721163 3.0548453 5.2112066 5.5706002 3.9533292 3.5939356
## 770 1.4246638 2.8493276 1.4246638 0.0000000 1.4246638 1.4246638
## 771 0.0000000 0.0000000 1.8231873 0.0000000 0.0000000 1.8231873
## 772 1.9757379 0.0000000 0.0000000 1.9757379 0.0000000 0.0000000
## 773 0.0000000 1.3945056 2.7890113 4.1835169 0.0000000 1.3945056
## 774 0.9052887 1.8105774 0.9052887 0.0000000 0.0000000 0.9052887
## 775 11.0029158 3.6676386 5.5014579 12.8367351 9.1690965 1.8338193
## 776 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 777 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 778 3.9606313 3.4655524 3.9606313 5.4458681 9.4064994 3.4655524
## 779 0.0000000 5.5673088 11.1346175 11.1346175 0.0000000 0.0000000
## 780 2.3023862 4.1442951 3.6838179 4.1442951 2.7628634 4.1442951
## 781 3.4650635 3.4650635 3.4650635 2.4255444 2.7720508 2.2522913
## 782 4.5270431 4.0505123 1.4295926 1.4295926 1.9061234 2.1443888
## 783 0.0000000 6.7150148 0.0000000 3.3575074 3.3575074 13.4300295
## 784 0.0000000 0.0000000 3.0510129 1.0170043 1.0170043 1.0170043
## 785 9.1240876 9.1240876 9.1240876 9.1240876 0.0000000 9.1240876
## 899 0.0000000 5.3019458 0.0000000 0.0000000 0.0000000 0.0000000
## 900 0.0000000 0.0000000 0.0000000 8.2805449 0.0000000 4.1402724
## 901 0.0000000 7.8460090 5.2306727 10.4613453 5.2306727 7.8460090
## 902 3.3553294 0.0000000 4.4737725 3.3553294 0.0000000 0.0000000
## 903 0.0000000 0.0000000 0.0000000 0.0000000 19.0857906 0.0000000
## 904 8.0931955 4.7607033 3.8085626 3.3324923 2.3803516 2.8564220
## 905 6.5093409 1.2517963 2.2532334 3.0043112 0.5007185 1.5021556
## 906 3.7507619 0.0000000 0.9376905 0.9376905 2.8130714 0.9376905
## 907 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 908 10.8926529 0.0000000 0.0000000 0.0000000 0.0000000 5.4463265
## 909 5.2712729 3.0749092 3.5141819 2.6356364 2.1963637 2.6356364
## 910 9.8149875 1.6358312 3.2716625 0.0000000 4.9074937 1.6358312
## 911 0.0000000 0.0000000 0.0000000 5.9765718 5.9765718 0.0000000
## 912 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 913 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 5.8854688
## 914 0.0000000 0.0000000 0.0000000 0.0000000 5.0805263 0.0000000
## 915 27.0764232 13.5382116 15.7945802 2.2563686 6.7691058 2.2563686
## 916 2.4230285 4.8460569 3.2307046 4.8460569 3.2307046 0.0000000
## 917 6.9273666 0.0000000 6.9273666 10.3910498 3.4636833 13.8547331
## 918 0.0000000 0.0000000 3.8930956 3.8930956 0.0000000 0.0000000
## 919 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 920 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 9.0847150
## 921 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 922 5.4002484 1.8000828 3.6001656 3.6001656 0.0000000 1.8000828
## 923 0.0000000 2.7664813 2.7664813 2.7664813 5.5329626 0.0000000
## 924 0.0000000 0.0000000 5.2276648 0.0000000 10.4553296 0.0000000
## 925 0.0000000 0.0000000 0.0000000 7.8112795 0.0000000 0.0000000
## 926 6.6942470 5.3553976 4.0165482 2.6776988 6.6942470 0.0000000
## 927 1.8196044 1.8196044 1.8196044 2.7294066 0.0000000 2.7294066
## 928 1.7812294 0.0000000 3.5624588 1.7812294 3.5624588 1.7812294
## 929 12.6993803 5.0797521 15.2392563 5.0797521 10.1595042 0.0000000
## 930 0.0000000 0.0000000 0.0000000 9.8212532 0.0000000 0.0000000
## 931 0.0000000 0.0000000 5.8983131 0.0000000 0.0000000 5.8983131
## 932 0.0000000 0.0000000 0.0000000 0.0000000 8.8715401 0.0000000
## 933 0.0000000 3.7596812 7.5193624 3.7596812 3.7596812 0.0000000
## dthrt27 dthrt28 dthrt29 dthrt30 dthrt31 dthrt32
## 270 6.6105019 4.6518347 7.5898355 4.8966681 4.6518347 1.9586672
## 271 4.9843075 4.0196028 3.6980346 3.2156822 2.5725458 0.9647047
## 272 2.5023898 4.5043016 5.0047796 3.5033457 4.0038237 0.5004780
## 273 6.1174188 4.7579924 4.8429565 4.4181358 2.8038169 1.5293547
## 274 4.8245269 6.3480617 5.8402167 4.3166819 3.0470696 0.7617674
## 275 3.6903397 3.5801803 2.8641443 1.5973112 1.5973112 0.9363549
## 276 4.8950222 3.2633481 2.0395926 2.0395926 2.4475111 1.2237555
## 277 2.8700375 1.4350188 1.4350188 0.0000000 1.4350188 0.0000000
## 278 5.1618915 3.4412610 3.7059734 2.6471238 3.1765486 1.0588495
## 279 3.0006601 2.1822983 2.7278729 0.8183619 2.1822983 0.5455746
## 280 4.2507409 2.1986591 2.3452364 1.9055046 1.9055046 1.4657727
## 281 4.5448022 3.5880017 2.6312013 1.6744008 1.6744008 0.9568005
## 282 1.3834193 1.6139891 3.6891180 2.0751289 2.0751289 0.4611398
## 283 4.7392847 6.0152459 3.6456036 4.7392847 2.9164829 1.8228018
## 284 4.2146966 3.1610225 3.6878596 2.3707669 1.3170927 2.6341854
## 285 3.9240036 3.6931799 4.8472986 3.2315324 3.2315324 1.3849424
## 661 1.4384350 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 662 3.7582682 2.1475818 2.6844773 0.5368955 1.0737909 0.0000000
## 663 1.9167002 0.0000000 1.9167002 1.9167002 0.0000000 0.0000000
## 664 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 665 3.1893857 1.0631286 1.5946929 0.0000000 0.5315643 0.5315643
## 666 0.0000000 8.2176021 24.6528063 8.2176021 0.0000000 0.0000000
## 667 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 668 0.0000000 0.0000000 0.0000000 3.5193918 0.0000000 0.0000000
## 669 1.8332478 5.4997433 3.6664956 0.0000000 1.8332478 0.0000000
## 670 3.1669622 15.8348112 3.1669622 6.3339245 12.6678490 3.1669622
## 671 1.4282450 4.2847349 0.0000000 0.0000000 2.8564899 0.0000000
## 672 79.9296619 23.9788986 23.9788986 15.9859324 0.0000000 0.0000000
## 673 2.3334793 1.4359873 1.9744825 1.4359873 1.0769905 0.8974920
## 674 2.7938684 0.9312895 0.9312895 1.8625789 0.9312895 0.9312895
## 675 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 676 0.0000000 3.3288948 6.6577896 6.6577896 0.0000000 0.0000000
## 677 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 678 8.2906366 3.3162546 0.0000000 3.3162546 1.6581273 0.0000000
## 679 13.0903760 2.6180752 0.0000000 0.0000000 5.2361504 0.0000000
## 680 3.5399027 2.5744747 3.2180934 4.5053308 2.5744747 0.9654280
## 681 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 682 0.0000000 0.0000000 0.0000000 6.4989927 6.4989927 0.0000000
## 683 9.0495690 0.0000000 6.7871768 4.5247845 2.2623923 0.0000000
## 684 5.1427396 2.8570776 3.9999086 2.2856620 2.8570776 1.1428310
## 685 4.2784086 5.2850930 7.2984618 4.2784086 3.7750664 1.7616977
## 686 0.0000000 0.0000000 0.0000000 0.0000000 3.2972830 0.0000000
## 687 15.4012013 0.0000000 23.1018019 0.0000000 7.7006006 0.0000000
## 688 9.4330724 3.1443575 0.0000000 0.0000000 0.0000000 0.0000000
## 689 2.2035071 0.8814028 3.0849099 2.2035071 1.7628057 1.3221043
## 690 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 691 2.3604325 1.6661876 2.4992815 1.9438856 1.5273387 0.0000000
## 692 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 693 5.0358541 5.2115234 3.9232817 3.7476124 2.9278222 1.2296853
## 694 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 695 2.0363004 1.3575336 2.7150673 4.0726009 0.0000000 0.0000000
## 696 2.1394035 6.4182106 2.1394035 2.1394035 0.0000000 0.0000000
## 697 2.0673188 1.7227657 1.7227657 0.3445531 1.3782125 1.0336594
## 698 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 699 2.1777241 2.7221551 1.4518160 2.7221551 1.9962471 0.9073850
## 700 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 701 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 702 3.6745793 3.0621494 1.2248598 2.4497195 1.2248598 0.6124299
## 703 3.1133250 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 704 6.8542445 0.0000000 6.8542445 10.2813667 3.4271222 0.0000000
## 705 1.0538185 0.0000000 0.0000000 2.1076370 0.0000000 0.0000000
## 706 4.8278859 4.8278859 4.8278859 0.0000000 0.0000000 0.0000000
## 707 2.5232454 0.0000000 1.2616227 2.5232454 0.0000000 0.0000000
## 708 1.4190234 1.4190234 0.0000000 0.0000000 1.4190234 0.0000000
## 709 6.7980965 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 710 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 711 6.8772351 5.0016255 3.7512191 1.2504064 3.7512191 0.0000000
## 712 3.3881077 0.0000000 3.3881077 0.0000000 6.7762155 0.0000000
## 713 3.2694697 1.6347348 3.2694697 1.6347348 0.0000000 0.0000000
## 714 2.8448924 4.8769584 6.5026112 2.4384792 2.0320660 2.4384792
## 715 14.5518044 0.0000000 7.2759022 7.2759022 0.0000000 0.0000000
## 716 0.0000000 0.0000000 0.0000000 0.0000000 3.1414928 0.0000000
## 717 3.1861584 3.9552312 2.3072182 2.7466883 1.6480130 0.7690727
## 718 2.9935217 3.4337454 2.9054769 3.1696112 1.4967608 0.6163133
## 719 0.0000000 4.5829514 0.0000000 2.2914757 0.0000000 0.0000000
## 720 4.0810404 4.0810404 2.4939691 2.7206936 1.1336223 0.9068979
## 721 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 722 5.5779448 5.5779448 1.3944862 1.3944862 4.1834586 1.3944862
## 723 5.4601545 0.0000000 5.4601545 0.0000000 2.7300773 2.7300773
## 724 2.4888004 0.0000000 2.4888004 0.0000000 2.4888004 0.0000000
## 725 2.6187608 5.2375216 0.0000000 2.6187608 0.0000000 0.0000000
## 726 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 727 3.3488871 5.5814784 2.2325914 2.2325914 1.1162957 0.0000000
## 728 3.2098607 0.0000000 0.0000000 0.0000000 3.2098607 0.0000000
## 729 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 730 4.1990207 2.5840127 1.2920064 2.5840127 1.2920064 1.2920064
## 731 0.0000000 6.6374618 6.6374618 0.0000000 6.6374618 0.0000000
## 732 0.0000000 6.8455641 6.8455641 0.0000000 6.8455641 0.0000000
## 733 3.1563664 0.0000000 6.3127328 0.0000000 6.3127328 0.0000000
## 734 0.0000000 0.0000000 0.0000000 0.7183237 0.0000000 0.0000000
## 735 6.8622405 0.0000000 3.4311203 0.0000000 0.0000000 0.0000000
## 736 7.4162886 2.4720962 3.7081443 2.4720962 1.2360481 0.0000000
## 737 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 738 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 739 0.0000000 0.0000000 0.0000000 0.0000000 6.9739870 0.0000000
## 740 3.5463508 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 741 3.3960266 2.5969616 3.5957929 2.3971953 1.7978965 0.7990651
## 742 2.5064227 5.0128454 1.2532114 0.0000000 1.2532114 0.0000000
## 743 0.0000000 0.0000000 7.3046019 7.3046019 0.0000000 0.0000000
## 744 9.5957779 2.3989445 0.0000000 0.0000000 0.0000000 0.0000000
## 745 0.0000000 0.0000000 0.0000000 1.4857075 0.0000000 0.0000000
## 746 0.0000000 0.0000000 0.0000000 5.8227553 5.8227553 0.0000000
## 747 0.0000000 1.8809544 0.9404772 1.8809544 0.9404772 0.0000000
## 748 2.8488405 4.7480675 5.6976810 3.7984540 2.8488405 0.0000000
## 749 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 750 3.2591691 5.4319485 3.2591691 2.1727794 2.1727794 0.0000000
## 751 4.3186595 2.8791063 2.8791063 1.4395532 2.8791063 0.0000000
## 752 4.9186779 1.6395593 3.2791186 6.5582371 4.9186779 1.6395593
## 753 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 754 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 755 0.9584511 2.8753534 0.0000000 0.9584511 0.0000000 0.9584511
## 756 2.5215593 2.5215593 0.0000000 0.0000000 0.0000000 0.0000000
## 757 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 758 0.0000000 17.5100683 0.0000000 0.0000000 0.0000000 0.0000000
## 759 1.5266302 3.4349178 1.9082877 1.5266302 2.2899452 0.3816575
## 760 0.0000000 10.7464483 6.4478690 4.2985793 2.1492897 0.0000000
## 761 1.2127533 2.4255066 2.4255066 3.6382599 1.2127533 2.4255066
## 762 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 763 0.0000000 0.0000000 0.0000000 1.9466615 1.9466615 0.0000000
## 764 4.4941622 5.6837934 2.9079873 2.3792623 2.2470811 0.7930874
## 765 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 766 6.3989594 5.6646526 3.5666331 3.1470292 3.2519302 1.0490097
## 767 0.0000000 0.0000000 0.0000000 7.3751752 0.0000000 0.0000000
## 768 3.1066899 2.4853520 4.9707039 2.4853520 0.6213380 1.2426760
## 769 4.3127227 5.9299937 5.0315098 2.1563614 1.6172710 0.1796968
## 770 1.4246638 2.8493276 0.0000000 0.0000000 0.0000000 0.0000000
## 771 0.0000000 1.8231873 0.0000000 0.0000000 0.0000000 0.0000000
## 772 0.0000000 0.0000000 0.0000000 0.0000000 1.9757379 0.0000000
## 773 0.0000000 1.3945056 0.0000000 0.0000000 0.0000000 0.0000000
## 774 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 775 0.0000000 5.5014579 1.8338193 7.3352772 11.0029158 0.0000000
## 776 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 777 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 778 3.9606313 6.9311048 4.9507892 1.9803157 3.4655524 0.4950789
## 779 5.5673088 5.5673088 0.0000000 5.5673088 0.0000000 0.0000000
## 780 3.2233407 3.2233407 3.6838179 2.3023862 2.3023862 0.0000000
## 781 2.9453040 1.9057849 2.7720508 1.9057849 1.5592786 0.3465063
## 782 1.1913271 0.7147963 0.2382654 1.9061234 0.9530617 0.0000000
## 783 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 784 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 785 0.0000000 0.0000000 0.0000000 9.1240876 0.0000000 0.0000000
## 899 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 900 0.0000000 0.0000000 4.1402724 0.0000000 0.0000000 0.0000000
## 901 10.4613453 15.6920180 7.8460090 5.2306727 5.2306727 2.6153363
## 902 1.1184431 5.5922156 1.1184431 2.2368863 0.0000000 0.0000000
## 903 0.0000000 0.0000000 19.0857906 0.0000000 0.0000000 0.0000000
## 904 2.3803516 2.3803516 4.2846329 2.3803516 0.0000000 0.9521407
## 905 2.2532334 1.0014371 0.2503593 2.0028741 0.7510778 0.5007185
## 906 1.8753809 0.0000000 0.0000000 1.8753809 0.0000000 0.0000000
## 907 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 908 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 909 1.7570910 0.4392727 0.4392727 0.4392727 0.4392727 0.4392727
## 910 3.2716625 0.0000000 1.6358312 0.0000000 3.2716625 1.6358312
## 911 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 912 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 913 0.0000000 0.0000000 5.8854688 0.0000000 0.0000000 0.0000000
## 914 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 915 2.2563686 2.2563686 4.5127372 2.2563686 0.0000000 0.0000000
## 916 0.8076762 1.6153523 0.8076762 1.6153523 0.8076762 0.8076762
## 917 6.9273666 0.0000000 0.0000000 0.0000000 3.4636833 0.0000000
## 918 0.0000000 0.0000000 0.0000000 0.0000000 1.9465478 0.0000000
## 919 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 920 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 921 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 922 0.0000000 0.0000000 0.0000000 3.6001656 0.0000000 1.8000828
## 923 2.7664813 0.0000000 0.0000000 0.0000000 2.7664813 8.2994439
## 924 5.2276648 0.0000000 0.0000000 31.3659888 10.4553296 5.2276648
## 925 7.8112795 7.8112795 0.0000000 0.0000000 0.0000000 0.0000000
## 926 1.3388494 1.3388494 0.0000000 1.3388494 0.0000000 0.0000000
## 927 1.8196044 0.9098022 1.8196044 1.8196044 0.0000000 0.0000000
## 928 0.0000000 0.0000000 1.7812294 3.5624588 0.0000000 0.0000000
## 929 10.1595042 2.5398761 5.0797521 0.0000000 0.0000000 0.0000000
## 930 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 931 0.0000000 5.8983131 0.0000000 0.0000000 0.0000000 0.0000000
## 932 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000
## 933 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000Using dplyr package, we will create a tibble dataframe called central mexico for further data wrangling
central_mexico <-mex_central@data %>%
select(CVE_ENT, NOMGEO, Pop2020, cumul12, cumul13, cumul14, cumul15, cumul16, cumul17, cumul18, cumul19, cumul20, cumul21, cumul22, cumul23, cumul24, cumul25, cumul26, cumul27, cumul28, cumul29, cumul30, cumul31) ## [1] "data.frame"4 Spatio-temporal distribution of COVID-19 rates at municipality level
In this section, we will be using appropriate thematic mapping technique to describe the spatio-temporal patterns.
4.1 Perform relational join
The code chunk below will be used to update the attribute table of mex_central’s SpatialPolygonsDataFrame with the attribute fields of COVID_19_rate dataframe. This is performed by using left_join() of dplyr package.
## Joining, by = c("CVE_ENT", "NOMGEO", "Pop2020", "cumul12", "cumul13", "cumul14", "cumul15", "cumul16", "cumul17", "cumul18", "cumul19", "cumul20", "cumul21", "cumul22", "cumul23", "cumul24", "cumul25", "cumul26", "cumul27", "cumul28", "cumul29", "cumul30", "cumul31")4.2 Visualising spatio-temporal distribution of COVID-19 rates at municipality level
#qtm(mex_central, "CVE_ENT")
w1 <- qtm(mex_central,"CVE_ENT", title="Central Mexico municipalities")
w2 <- qtm(mex_central, "covid_rate", title="COVID-19 rates in Central Mexico")
current.mode <- tmap_mode("plot")## tmap mode set to plotting
## tmap mode set to plottingNotes: It would seem that the COVID-19 rates (cases per 10,000 population) from e-week 13 until e-week 32 has seen mainly greater concentration around Mexico city (CVE_ENT 9).
4.3 Defining statistical hypothesis
Define the null and alternative hypothesis and the critical value.
H0: The geographical pattern revealed by the COVID-19 rates at municipality level are randomly distributed. H1: The geographical pattern revealed by the COVID-19 rates at municipality level are not randomly distributed. Critical value: 0.05 (confidence level 95%)
5 Cluster and Outlier Analysis
Local Indicators of Spatial Association or LISA are statistics that evaluate the existence of clusters in the spatial arrangement of a given variable.
The analysis consists of five steps:
- Deriving spatial weights matrix
- Computing local Moran’s I
- Plotting Moran scatterplot
- Mapping local Moran’s I
- Plotting LISA map
5.1 Creating QUEEN contiguity based neighbours
In this section, we will use poly2nb() of spdep package to compute contiguity weight matrices for the study area. This function builds a neighbors list based on regions with contiguous boundaries. If you look at the documentation you will see that you can pass a “queen” argument that takes TRUE or FALSE as options. If you do not specify this argument the default is set to TRUE, that is, if you don’t specify queen = FALSE this function will return a list of first order neighbors using the Queen criteria.
5.1.1 Creating (QUEEN) contiguity based neighbours
The codes below construct a Queen contiguity matrix.
## Neighbour list object:
## Number of regions: 176
## Number of nonzero links: 962
## Percentage nonzero weights: 3.10563
## Average number of links: 5.465909
## Link number distribution:
##
## 1 2 3 4 5 6 7 8 9 10 11 14
## 3 3 18 41 31 31 22 13 9 3 1 1
## 3 least connected regions:
## 721 739 765 with 1 link
## 1 most connected region:
## 761 with 14 linksPlotting Queen contiguity based neighbours maps by using plot() of BASE R.
plot(mex_central, border="lightgrey")
plot(wm_q_mexico, coordinates(mex_central), pch = 19, cex = 0.6, add = TRUE, col= "red")
5.1.1.1 Row-standardised weights matrix
Spatial weights are often row standardized, particularly with binary weighting strategies. Row standardization is used to create proportional weights in cases where features have an unequal number of neighbors. Row standardization involves dividing each neighbor weight for a feature by the sum of all neighbor weights for that feature, and is recommended whenever the distribution of your features is potentially biased due to sampling design or an imposed aggregation scheme. The code chunks below construct construct a row-standardised weights matrix by using wm_q as the input matrix.
## Characteristics of weights list object:
## Neighbour list object:
## Number of regions: 176
## Number of nonzero links: 962
## Percentage nonzero weights: 3.10563
## Average number of links: 5.465909
## Link number distribution:
##
## 1 2 3 4 5 6 7 8 9 10 11 14
## 3 3 18 41 31 31 22 13 9 3 1 1
## 3 least connected regions:
## 721 739 765 with 1 link
## 1 most connected region:
## 761 with 14 links
##
## Weights style: W
## Weights constants summary:
## n nn S0 S1 S2
## W 176 30976 176 71.10695 731.6795.2 Perform Global Moran’s I test
moran.mc(mex_central$covid_rate, listw=rswm_q_mexico, nsim = 39, zero.policy = TRUE,na.action=na.omit)##
## Monte-Carlo simulation of Moran I
##
## data: mex_central$covid_rate
## weights: rswm_q_mexico
## number of simulations + 1: 40
##
## statistic = 0.49392, observed rank = 40, p-value = 0.025
## alternative hypothesis: greaterSince the p-value of 0.025 is smaller than the alpha value of 0.05, we failed to accept the null hypothesis.We can infer the alternative hypothesis. (This is global Moran I) If the statistic = 0.49392 which is greater than 0, that means that it is a sign of positive autocorrelation. In conclusion, the spatial pattern resembles distribution of cluster patterns.
5.3 Computing local Moran’s I
To compute local Moran’s I, the localmoran() function of spdep will be used. It computes Ii values, given a set of zi values and a listw object providing neighbor weighting information for the polygon associated with the zi values.
localmoran() function returns a matrix of values whose columns are:
- Ii: the local Moran’s I statistics
- E.Ii: the expectation of local moran statistic under the randomisation hypothesis
- Var.Ii: the variance of local moran statistic under the randomisation hypothesis
- Z.Ii:the standard deviate of local moran statistic
- Pr(): the p-value of local moran statistic
The code chunks below are used to compute local Moran’s I of covid_rate at the municipality level.
## Ii E.Ii Var.Ii Z.Ii Pr(z > 0)
## 270 3.704211 -0.005714286 0.1856779 8.609641 3.664479e-18
## 271 3.878508 -0.005714286 0.1856779 9.014133 9.921711e-20
## 272 2.260838 -0.005714286 0.2333878 4.691662 1.354971e-06
## 273 1.895112 -0.005714286 0.1141131 5.626969 9.170194e-09
## 274 3.242283 -0.005714286 0.1856779 7.537642 2.392735e-14
## 275 1.947215 -0.005714286 0.1141131 5.781208 3.708306e-09The code chunk below list the content of the local Moran matrix derived by using printCoefmat().
fips <- order(mex_central$NOMGEO)
printCoefmat(data.frame(local_moran_I[fips,], row.names=mex_central$NOMGEO[fips]), check.names=FALSE)## Ii E.Ii Var.Ii Z.Ii
## Ã\201lvaro Obregón 3.10165013 -0.00571429 0.13115237 8.58033258
## Acambay de RuÃz Castañeda 0.25925610 -0.00571429 0.23338778 0.54847682
## Acolman 0.01343178 -0.00571429 0.13115237 0.05286784
## Aculco 0.56781742 -0.00571429 0.23338778 1.18718494
## Almoloya de Alquisiras 0.29861087 -0.00571429 0.23338778 0.62993943
## Almoloya de Juárez 0.13199287 -0.00571429 0.13115237 0.38024932
## Almoloya del RÃo 0.69429966 -0.00571429 0.23338778 1.44899750
## Amacuzac 0.33679543 -0.00571429 0.23338778 0.70897977
## Amanalco -0.01868833 -0.00571429 0.13115237 -0.03582509
## Amatepec 0.65086158 -0.00571429 0.31290421 1.17375974
## Amecameca -0.05319665 -0.00571429 0.23338778 -0.09828637
## Apaxco 0.19903870 -0.00571429 0.47193708 0.29804936
## Atenco 0.05409286 -0.00571429 0.15387135 0.15246643
## Atizapán 0.78292757 -0.00571429 0.31290421 1.40985393
## Atizapán de Zaragoza 0.02343331 -0.00571429 0.15387135 0.07430599
## Atlacomulco -0.11871604 -0.00571429 0.18567792 -0.26224369
## Atlatlahucan 0.22361950 -0.00571429 0.13115237 0.63325697
## Atlautla 0.25061423 -0.00571429 0.18567792 0.59486277
## Axapusco 0.09517167 -0.00571429 0.23338778 0.20882941
## Axochiapan 0.07063748 -0.00571429 0.31290421 0.13649395
## Ayala 0.19606806 -0.00571429 0.10086039 0.63536433
## Ayapango 0.12381228 -0.00571429 0.15387135 0.33020220
## Azcapotzalco 3.70421119 -0.00571429 0.18567792 8.60964123
## Benito Juárez 2.02134603 -0.00571429 0.15387135 5.16758695
## Calimaya 0.02956395 -0.00571429 0.11411313 0.10443332
## Capulhuac -0.00300431 -0.00571429 0.31290421 0.00484461
## Chalco 0.93197143 -0.00571429 0.10086039 2.95254804
## Chapa de Mota 0.46027560 -0.00571429 0.23338778 0.96457818
## Chapultepec 0.24490454 -0.00571429 0.23338778 0.51876974
## Chiautla 0.12105801 -0.00571429 0.13115237 0.35005500
## Chicoloapan 0.05228140 -0.00571429 0.23338778 0.12004848
## Chiconcuac 0.09921209 -0.00571429 0.31290421 0.18757673
## Chimalhuacán 0.00888910 -0.00571429 0.23338778 0.03022835
## Coacalco de Berriozábal 0.04453855 -0.00571429 0.23338778 0.10402112
## Coatepec Harinas 0.44672653 -0.00571429 0.11411313 1.33934965
## Coatetelco 0.55102674 -0.00571429 0.15387135 1.41930047
## Coatlán del RÃo 0.32323839 -0.00571429 0.15387135 0.83859940
## Cocotitlán 0.44107945 -0.00571429 0.31290421 0.79873252
## Coyoacán 3.87850806 -0.00571429 0.18567792 9.01413276
## Coyotepec -0.04711447 -0.00571429 0.23338778 -0.08569653
## Cuajimalpa de Morelos 2.26083826 -0.00571429 0.23338778 4.69166220
## Cuauhtémoc 3.72368752 -0.00571429 0.15387135 9.50736787
## Cuautitlán -0.13328586 -0.00571429 0.11411313 -0.37764706
## Cuautitlán Izcalli -0.02560436 -0.00571429 0.15387135 -0.05070579
## Cuautla -0.05701035 -0.00571429 0.23338778 -0.10618056
## Cuernavaca 0.11463805 -0.00571429 0.13115237 0.33232764
## Donato Guerra 0.37091122 -0.00571429 0.23338778 0.77959791
## Ecatepec de Morelos 0.04193543 -0.00571429 0.08158368 0.16682406
## Ecatzingo 0.49014965 -0.00571429 0.23338778 1.02641613
## El Oro -0.10065932 -0.00571429 0.23338778 -0.19653197
## Emiliano Zapata 0.34047096 -0.00571429 0.15387135 0.88253041
## Gustavo A. Madero 1.89511152 -0.00571429 0.11411313 5.62696880
## Huehuetoca 0.06685616 -0.00571429 0.23338778 0.15021758
## Hueypoxtla 0.08408969 -0.00571429 0.31290421 0.16054243
## Huitzilac -0.64469050 -0.00571429 0.15387135 -1.62894273
## Huixquilucan 0.10411829 -0.00571429 0.18567792 0.25488896
## Isidro Fabela 0.20946969 -0.00571429 0.18567792 0.49937845
## Ixtapaluca -0.00076220 -0.00571429 0.15387135 0.01262436
## Ixtapan de la Sal 0.34137312 -0.00571429 0.18567792 0.80548734
## Ixtapan del Oro 0.41746587 -0.00571429 0.31290421 0.75651857
## Ixtlahuaca 0.24005657 -0.00571429 0.18567792 0.57036156
## Iztacalco 3.24228267 -0.00571429 0.18567792 7.53764157
## Iztapalapa 1.94721450 -0.00571429 0.11411313 5.78120801
## Jaltenco 0.00684255 -0.00571429 0.15387135 0.03201116
## Jantetelco 0.44804342 -0.00571429 0.23338778 0.93925811
## Jilotepec 0.30998227 -0.00571429 0.18567792 0.73263846
## Jilotzingo 0.01058179 -0.00571429 0.18567792 0.03781837
## Jiquipilco 0.36012857 -0.00571429 0.15387135 0.93264358
## Jiutepec 0.28609959 -0.00571429 0.23338778 0.60404164
## Jocotitlán 0.08265987 -0.00571429 0.13115237 0.24402663
## Jojutla 0.02375506 -0.00571429 0.23338778 0.06100023
## Jonacatepec de Leandro Valle 0.24939196 -0.00571429 0.23338778 0.52805849
## Joquicingo 0.09083264 -0.00571429 0.15387135 0.24612718
## Juchitepec -0.43194660 -0.00571429 0.10086039 -1.34210362
## La Magdalena Contreras 3.79072476 -0.00571429 0.31290421 6.78688870
## La Paz -0.02762333 -0.00571429 0.15387135 -0.05585275
## Lerma 0.01672444 -0.00571429 0.09025820 0.07468868
## Luvianos 0.10342205 -0.00571429 0.31290421 0.19510287
## Malinalco 0.27506776 -0.00571429 0.15387135 0.71579797
## Mazatepec 0.36003757 -0.00571429 0.15387135 0.93241158
## Melchor Ocampo 0.07651900 -0.00571429 0.31290421 0.14700833
## Metepec 0.19529092 -0.00571429 0.13115237 0.55503355
## Mexicaltzingo 0.45034394 -0.00571429 0.31290421 0.81529465
## Miacatlán 0.32732016 -0.00571429 0.13115237 0.91960450
## Miguel Hidalgo 2.85489829 -0.00571429 0.13115237 7.89897934
## Milpa Alta 4.49116096 -0.00571429 0.11411313 13.31199140
## Morelos 0.33244442 -0.00571429 0.15387135 0.86206834
## Naucalpan de Juárez 0.30242174 -0.00571429 0.11411313 0.91216764
## Nextlalpan -0.03662254 -0.00571429 0.11411313 -0.09149697
## Nezahualcóyotl 0.49588942 -0.00571429 0.11411313 1.48488534
## Nicolás Romero 0.12000614 -0.00571429 0.13115237 0.34715048
## Nopaltepec 0.43739026 -0.00571429 0.94903567 0.45484658
## Ocoyoacac 0.00734953 -0.00571429 0.11411313 0.03867250
## Ocuilan 0.15892237 -0.00571429 0.11411313 0.48736991
## Ocuituco 0.46719482 -0.00571429 0.23338778 0.97890065
## Otumba 0.00092861 -0.00571429 0.23338778 0.01375049
## Otzoloapan 0.30291235 -0.00571429 0.18567792 0.71623126
## Otzolotepec 0.00748245 -0.00571429 0.15387135 0.03364245
## Ozumba 0.11029964 -0.00571429 0.13115237 0.32034803
## Papalotla 0.09356782 -0.00571429 0.31290421 0.17748648
## Polotitlán 0.60350817 -0.00571429 0.47193708 0.88681668
## Puente de Ixtla -0.12197501 -0.00571429 0.15387135 -0.29638358
## Rayón 0.00634866 -0.00571429 0.23338778 0.02496976
## San Antonio la Isla 0.09968995 -0.00571429 0.15387135 0.26870713
## San Felipe del Progreso 0.25399210 -0.00571429 0.15387135 0.66206975
## San José del Rincón 0.44730451 -0.00571429 0.23338778 0.93772860
## San MartÃn de las Pirámides -0.00020502 -0.00571429 0.18567792 0.01278538
## San Mateo Atenco 0.10285536 -0.00571429 0.31290421 0.19408979
## San Simón de Guerrero 0.02506536 -0.00571429 0.31290421 0.05502473
## Santo Tomás 0.25457270 -0.00571429 0.31290421 0.46531468
## Soyaniquilpan de Juárez 0.22036012 -0.00571429 0.94903567 0.23206526
## Sultepec 0.51080389 -0.00571429 0.18567792 1.19868612
## Tecámac 0.00021778 -0.00571429 0.11411313 0.01756056
## Tejupilco -0.06891402 -0.00571429 0.13115237 -0.17451275
## Temamatla 0.20771638 -0.00571429 0.18567792 0.49530953
## Temascalapa -0.03501132 -0.00571429 0.23338778 -0.06064356
## Temascalcingo 0.05259996 -0.00571429 0.23338778 0.12070788
## Temascaltepec 0.23048969 -0.00571429 0.10086039 0.74374981
## Temixco 0.40357209 -0.00571429 0.18567792 0.94983280
## Temoac 0.64076385 -0.00571429 0.23338778 1.33818076
## Temoaya 0.17601533 -0.00571429 0.13115237 0.50180808
## Tenancingo -0.02246958 -0.00571429 0.15387135 -0.04271428
## Tenango del Aire -0.05358782 -0.00571429 0.18567792 -0.11110032
## Tenango del Valle 0.00170955 -0.00571429 0.10086039 0.02337589
## Teoloyucan -0.00591801 -0.00571429 0.23338778 -0.00042171
## Teotihuacán -0.10225188 -0.00571429 0.15387135 -0.24610338
## Tepalcingo 0.14852389 -0.00571429 0.23338778 0.31926611
## Tepetlaoxtoc 0.03444044 -0.00571429 0.13115237 0.11087883
## Tepetlixpa 0.28112461 -0.00571429 0.18567792 0.66566835
## Tepotzotlán 0.02958787 -0.00571429 0.13115237 0.09747947
## Tepoztlán -0.32012480 -0.00571429 0.13115237 -0.86817844
## Tequixquiac 0.12965462 -0.00571429 0.23338778 0.28020757
## Tetecala 0.43263993 -0.00571429 0.31290421 0.78364521
## Tetela del Volcán 0.48642956 -0.00571429 0.23338778 1.01871570
## Texcaltitlán 0.22941809 -0.00571429 0.15387135 0.59942320
## Texcalyacac -0.00847570 -0.00571429 0.15387135 -0.00703968
## Texcoco 0.02971592 -0.00571429 0.09025820 0.11793166
## Tezoyuca 0.02626259 -0.00571429 0.31290421 0.05716502
## Tianguistenco -0.13468105 -0.00571429 0.06299542 -0.51383455
## Timilpan 0.31143963 -0.00571429 0.15387135 0.80852081
## Tláhuac 6.20039577 -0.00571429 0.18567792 14.40254832
## Tlalmanalco 0.10775967 -0.00571429 0.13115237 0.31333444
## Tlalnepantla -0.27255713 -0.00571429 0.18567792 -0.61926343
## Tlalnepantla de Baz 0.25791156 -0.00571429 0.13115237 0.72794727
## Tlalpan 3.51054012 -0.00571429 0.10086039 11.07184411
## Tlaltizapán de Zapata 0.21101555 -0.00571429 0.13115237 0.59845380
## Tlaquiltenango 0.06104108 -0.00571429 0.15387135 0.17017953
## Tlatlaya 1.09550050 -0.00571429 0.94903567 1.13039640
## Tlayacapan -0.16720499 -0.00571429 0.18567792 -0.37477223
## Toluca -0.03509063 -0.00571429 0.10086039 -0.09249909
## Tonanitla 0.01687898 -0.00571429 0.18567792 0.05243231
## Tonatico 0.17079375 -0.00571429 0.47193708 0.25693451
## Totolapan 0.29131987 -0.00571429 0.18567792 0.68932855
## Tultepec -0.00131129 -0.00571429 0.18567792 0.01021806
## Tultitlán -0.01472104 -0.00571429 0.09025820 -0.02997956
## Valle de Bravo -0.03021992 -0.00571429 0.13115237 -0.06766714
## Valle de Chalco Solidaridad -0.53125734 -0.00571429 0.18567792 -1.21963019
## Venustiano Carranza 3.74568276 -0.00571429 0.23338778 7.76522378
## Villa de Allende 0.52240941 -0.00571429 0.23338778 1.09319238
## Villa del Carbón 0.43399789 -0.00571429 0.18567792 1.02044207
## Villa Guerrero 0.27859502 -0.00571429 0.18567792 0.65979792
## Villa Victoria 0.43239776 -0.00571429 0.18567792 1.01672865
## Xalatlaco -0.03665477 -0.00571429 0.23338778 -0.06404542
## Xochimilco 9.24027245 -0.00571429 0.18567792 21.45720421
## Xochitepec 0.40098393 -0.00571429 0.18567792 0.94382643
## Xonacatlán -0.00697088 -0.00571429 0.23338778 -0.00260109
## Xoxocotla 0.23221518 -0.00571429 0.15387135 0.60655384
## Yautepec 0.27170290 -0.00571429 0.11411313 0.82123141
## Yecapixtla 0.31151483 -0.00571429 0.10086039 0.99887862
## Zacatepec -0.19164933 -0.00571429 0.23338778 -0.38487720
## Zacazonapan 0.22341817 -0.00571429 0.18567792 0.53174875
## Zacualpan 0.64670739 -0.00571429 0.23338778 1.35048363
## Zacualpan de Amilpas 0.58966676 -0.00571429 0.23338778 1.23241209
## Zinacantepec 0.00792579 -0.00571429 0.15387135 0.03477267
## Zumpahuacán 0.19188125 -0.00571429 0.15387135 0.50373051
## Zumpango -0.00985250 -0.00571429 0.10086039 -0.01303024
## Pr.z...0.
## Ã\201lvaro Obregón 0.0000
## Acambay de RuÃz Castañeda 0.2917
## Acolman 0.4789
## Aculco 0.1176
## Almoloya de Alquisiras 0.2644
## Almoloya de Juárez 0.3519
## Almoloya del RÃo 0.0737
## Amacuzac 0.2392
## Amanalco 0.5143
## Amatepec 0.1202
## Amecameca 0.5391
## Apaxco 0.3828
## Atenco 0.4394
## Atizapán 0.0793
## Atizapán de Zaragoza 0.4704
## Atlacomulco 0.6034
## Atlatlahucan 0.2633
## Atlautla 0.2760
## Axapusco 0.4173
## Axochiapan 0.4457
## Ayala 0.2626
## Ayapango 0.3706
## Azcapotzalco 0.0000
## Benito Juárez 0.0000
## Calimaya 0.4584
## Capulhuac 0.4981
## Chalco 0.0016
## Chapa de Mota 0.1674
## Chapultepec 0.3020
## Chiautla 0.3631
## Chicoloapan 0.4522
## Chiconcuac 0.4256
## Chimalhuacán 0.4879
## Coacalco de Berriozábal 0.4586
## Coatepec Harinas 0.0902
## Coatetelco 0.0779
## Coatlán del RÃo 0.2008
## Cocotitlán 0.2122
## Coyoacán 0.0000
## Coyotepec 0.5341
## Cuajimalpa de Morelos 0.0000
## Cuauhtémoc 0.0000
## Cuautitlán 0.6472
## Cuautitlán Izcalli 0.5202
## Cuautla 0.5423
## Cuernavaca 0.3698
## Donato Guerra 0.2178
## Ecatepec de Morelos 0.4338
## Ecatzingo 0.1523
## El Oro 0.5779
## Emiliano Zapata 0.1887
## Gustavo A. Madero 0.0000
## Huehuetoca 0.4403
## Hueypoxtla 0.4362
## Huitzilac 0.9483
## Huixquilucan 0.3994
## Isidro Fabela 0.3088
## Ixtapaluca 0.4950
## Ixtapan de la Sal 0.2103
## Ixtapan del Oro 0.2247
## Ixtlahuaca 0.2842
## Iztacalco 0.0000
## Iztapalapa 0.0000
## Jaltenco 0.4872
## Jantetelco 0.1738
## Jilotepec 0.2319
## Jilotzingo 0.4849
## Jiquipilco 0.1755
## Jiutepec 0.2729
## Jocotitlán 0.4036
## Jojutla 0.4757
## Jonacatepec de Leandro Valle 0.2987
## Joquicingo 0.4028
## Juchitepec 0.9102
## La Magdalena Contreras 0.0000
## La Paz 0.5223
## Lerma 0.4702
## Luvianos 0.4227
## Malinalco 0.2371
## Mazatepec 0.1756
## Melchor Ocampo 0.4416
## Metepec 0.2894
## Mexicaltzingo 0.2075
## Miacatlán 0.1789
## Miguel Hidalgo 0.0000
## Milpa Alta 0.0000
## Morelos 0.1943
## Naucalpan de Juárez 0.1808
## Nextlalpan 0.5365
## Nezahualcóyotl 0.0688
## Nicolás Romero 0.3642
## Nopaltepec 0.3246
## Ocoyoacac 0.4846
## Ocuilan 0.3130
## Ocuituco 0.1638
## Otumba 0.4945
## Otzoloapan 0.2369
## Otzolotepec 0.4866
## Ozumba 0.3744
## Papalotla 0.4296
## Polotitlán 0.1876
## Puente de Ixtla 0.6165
## Rayón 0.4900
## San Antonio la Isla 0.3941
## San Felipe del Progreso 0.2540
## San José del Rincón 0.1742
## San MartÃn de las Pirámides 0.4949
## San Mateo Atenco 0.4231
## San Simón de Guerrero 0.4781
## Santo Tomás 0.3209
## Soyaniquilpan de Juárez 0.4082
## Sultepec 0.1153
## Tecámac 0.4930
## Tejupilco 0.5693
## Temamatla 0.3102
## Temascalapa 0.5242
## Temascalcingo 0.4520
## Temascaltepec 0.2285
## Temixco 0.1711
## Temoac 0.0904
## Temoaya 0.3079
## Tenancingo 0.5170
## Tenango del Aire 0.5442
## Tenango del Valle 0.4907
## Teoloyucan 0.5002
## Teotihuacán 0.5972
## Tepalcingo 0.3748
## Tepetlaoxtoc 0.4559
## Tepetlixpa 0.2528
## Tepotzotlán 0.4612
## Tepoztlán 0.8074
## Tequixquiac 0.3897
## Tetecala 0.2166
## Tetela del Volcán 0.1542
## Texcaltitlán 0.2744
## Texcalyacac 0.5028
## Texcoco 0.4531
## Tezoyuca 0.4772
## Tianguistenco 0.6963
## Timilpan 0.2094
## Tláhuac 0.0000
## Tlalmanalco 0.3770
## Tlalnepantla 0.7321
## Tlalnepantla de Baz 0.2333
## Tlalpan 0.0000
## Tlaltizapán de Zapata 0.2748
## Tlaquiltenango 0.4324
## Tlatlaya 0.1292
## Tlayacapan 0.6461
## Toluca 0.5368
## Tonanitla 0.4791
## Tonatico 0.3986
## Totolapan 0.2453
## Tultepec 0.4959
## Tultitlán 0.5120
## Valle de Bravo 0.5270
## Valle de Chalco Solidaridad 0.8887
## Venustiano Carranza 0.0000
## Villa de Allende 0.1372
## Villa del Carbón 0.1538
## Villa Guerrero 0.2547
## Villa Victoria 0.1546
## Xalatlaco 0.5255
## Xochimilco 0.0000
## Xochitepec 0.1726
## Xonacatlán 0.5010
## Xoxocotla 0.2721
## Yautepec 0.2058
## Yecapixtla 0.1589
## Zacatepec 0.6498
## Zacazonapan 0.2975
## Zacualpan 0.0884
## Zacualpan de Amilpas 0.1089
## Zinacantepec 0.4861
## Zumpahuacán 0.3072
## Zumpango 0.50525.4 Mapping the local Moran’s I
Before mapping the local Moran’s I map, it is wise to append the local Moran’s I dataframe (i.e. local_moran_I ) onto mex_central SpatialPolygonDataFrame. The code chunks below can be used to perform the task. The out SpatialPolygonDataFrame is called mex_central.localMI.
5.5 Mapping local Moran’s I values
Using choropleth mapping functions of tmap package, we can plot the local Moran’s I values by using the code chunks below.
tm_shape(mex_central.localMI) +
tm_fill(col = "Ii",
style = "pretty",
palette = "RdBu",
title = "local moran statistics") +
tm_borders(alpha = 0.5)## Warning in sp::proj4string(obj): CRS object has comment, which is lost in output## Variable(s) "Ii" contains positive and negative values, so midpoint is set to 0. Set midpoint = NA to show the full spectrum of the color palette.
5.6 Mapping local Moran’s I p-values
The choropleth shows there is evidence for both positive and negative Ii values. However, it is useful to consider the p-values for each of these values, as consider above.
The code chunks below produce a choropleth map of Moran’s I p-values by using functions of tmap package.
tm_shape(mex_central.localMI) +
tm_fill(col = "Pr.z...0.",
breaks=c(-Inf, 0.001, 0.01, 0.05, 0.1, Inf),
palette="-Blues",
title = "local Moran's I p-values") +
tm_borders(alpha = 0.5)## Warning in sp::proj4string(obj): CRS object has comment, which is lost in output
5.7 Mapping both local Moran’s I values and p-values
For effective interpretation, it is better to plot both the local Moran’s I values map and its corresponding p-values map next to each other.
The code chunk below will be used to create such visualisation.
localMI.map <- tm_shape(mex_central.localMI) +
tm_fill(col = "Ii",
style = "pretty",
title = "local moran statistics") +
tm_borders(alpha = 0.5)
pvalue.map <- tm_shape(mex_central.localMI) +
tm_fill(col = "Pr.z...0.",
breaks=c(-Inf, 0.001, 0.01, 0.05, 0.1, Inf),
palette="-Blues",
title = "local Moran's I p-values") +
tm_borders(alpha = 0.5)
tmap_arrange(localMI.map, pvalue.map, asp=1, ncol=2)## Warning in sp::proj4string(obj): CRS object has comment, which is lost in output## Variable(s) "Ii" contains positive and negative values, so midpoint is set to 0. Set midpoint = NA to show the full spectrum of the color palette.## Warning in sp::proj4string(obj): CRS object has comment, which is lost in output
5.8 Creating a LISA Cluster Map
The LISA Cluster Map shows the significant locations color coded by type of spatial autocorrelation. The first step before we can generate the LISA cluster map is to plot the Moran scatterplot.
5.8.1 Plotting Moran scatterplot
The Moran scatterplot is an illustration of the relationship between the values of the chosen attribute at each location and the average value of the same attribute at neighboring locations.
The code chunk below plots the Moran scatterplot of covid_rate by using moran.plot() of spdep.
nci <- moran.plot(mex_central$covid_rate, rswm_q_mexico, labels=as.character(mex_central$NOMGEO), xlab="COVID rate", ylab="Spatially Lag COVID rate")
Notice that the plot is split in 4 quadrants. The top right corner belongs to areas that have high COVID rate and are surrounded by other areas that have the average level of COVID rate. This are the high-high locations where the municipality is high and its neighbors are high in value as well.
5.8.2 Plotting Moran scatterplot with standardised variable - Scaling the variable of interest
First we will use scale() to centers and scales(standardization) the variable. here centering is done by subtracting the mean (omitting NAs) the corresponding columns, and scaling is done by dividing the (centered) variable by their standard deviations.
The as.vector() added to the end is to make sure that the data type we get out of this is a vector, that map neatly into out dataframe. A new column is also added to the max_central$data which is named as Z.covid_rate, holding the standardized value of covid_rate.
Plot the Moran scatterplot again by using the code chunk below.
nci2 <- moran.plot(mex_central$Z.covid_rate, rswm_q_mexico, labels=as.character(mex_central$NOMGEO), xlab="z-COVID rate", ylab="Spatially Lag z-COVID rate")
5.9 Plotting LISA cluster map
Next, we centers the variable of interest around its mean.
This is follow by centering the local Moran’s around the mean.
Next, we will set a statistical significance level for the local Moran.
These following four command lines define the high-high, low-low, low-high and high-low categories.
quadrant[DV >0 & C_mI>0] <- 4
quadrant[DV <0 & C_mI<0] <- 1
quadrant[DV <0 & C_mI>0] <- 2
quadrant[DV >0 & C_mI<0] <- 3Lastly, places non-significant Moran in the category 0.
Plot LISA map by using the code chunks below
mex_central.localMI$quadrant <- quadrant
colors <- c("#ffffff", "#2c7bb6", "#abd9e9", "#fdae61", "#d7191c")
clusters <- c("insignificant", "low-low", "low-high", "high-low", "high-high")
tm_shape(mex_central.localMI) +
tm_fill(col = "quadrant", style = "cat", palette = colors[c(sort(unique(quadrant)))+1], labels = clusters[c(sort(unique(quadrant)))+1], popup.vars = c("NOMGEO")) +
tm_view(set.zoom.limits = c(11,17)) +
tm_borders(alpha=0.5)## Warning in sp::proj4string(obj): CRS object has comment, which is lost in output
5.10 Hot Spot and Cold Spot Area Analysis
Beside detecting cluster and outliers, localized spatial statistics can be also used to detect hot spot and/or cold spot areas.
The term ‘hot spot’ has been used generically across disciplines to describe a region or value that is higher relative to its surroundings (Lepers et al 2005, Aben et al 2012, Isobe et al 2015).
##Getis and Ord’s G-statistics
Getis and Ord’s G-statistics (Getis and Ord, 1972; Ord and Getis, 1995) looks at neighbors within a defined proximity to identify where either high or low values cluster spatially. Here, statistically significant hot-spots are recognised as areas of high values where other areas within a neighborhood range also share high values too.
The analysis consists of three steps:
- Deriving spatial weight matrix
- Computing Gi statistics
- Mapping Gi statistics
5.11 Deriving distance-based weight matrix
First, we need to define a new set of neighbours. Whist the spatial autocorrelation considered units which shared borders, for Getis-Ord, we are defining neighbours based on distance or also known as proximity.
There are two type of distance-based proximity matrix, they are:
- fixed distance weight matrix; and
- adaptive distance weight matrix.
5.11.1 Creating adaptive proximity matrix
Instead of using a fixed distance to derive the proximity matrix, a fixed number of neighbors can be also used to derived the proximity matrix. This is called adaptive distance method.
The code chunk below will be used to derive an adaptive distance weight matrix.
## Neighbour list object:
## Number of regions: 176
## Number of nonzero links: 880
## Percentage nonzero weights: 2.840909
## Average number of links: 5
## Non-symmetric neighbours listNotes:
The code above is to calculate the centroids of each municipality
Knn is used to calculate the coordinates, k = 5 because from (summary(rswm_q shows that there are about 4 to 5 neighbours on average)), latlong is TRUE because crs of the data is in wgs84. This will ensure all polygons got 5 neighbours.
Next, we will plot the centroids of the municipality and neighbours by using the code chunk below.
plot(mex_central, border="lightgrey")
plot(knn5, coordinates(mex_central), pch = 19, cex = 0.6, add = TRUE, col = "red")
5.12 Computing Gi statistics
Gi statistics using adaptive distance
The code chunk below are used to compute the Gi values for covid_rate by using an adaptive distance weight matrix (i.e knb_lw).
fips <- order(mex_central$NOMGEO)
gi.adaptive <- localG(mex_central$covid_rate, knb5_lw)
mex_central.gi <- cbind(mex_central, as.matrix(gi.adaptive))
names(mex_central.gi)[177] <- "gstat_adaptive"The Gi statistics is represented as a Z-score. Greater values represent a greater intensity of clustering and the direction (positive or negative) indicates high or low clusters.
After the gi.adaptive values are generated, the code chunk above performs three tasks. First, it convert the output vector (i.e. gi.adaptive) into r matrix object by using as.matrix(). Next, cbind() is used to join mex_central@data and gi.adaptive matrix to produce a new SpatialPolygonDataFrame called mex_central.gi. Lastly, the field name of the gi values is renamed to gstat_adaptive by using names().
5.13 Visualising local Gi (Mapping Gi statistics)
Visualise the locations of hot spot and cold spot areas. The choropleth mapping functions of tmap package will be used to map the Gi values.
tm_shape(mex_central.gi) +
tm_fill(col = "gstat_adaptive",
style = "pretty",
palette="-RdBu",
title = "local Gi") +
tm_borders(alpha = 0.5)## Warning in sp::proj4string(obj): CRS object has comment, which is lost in output