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Regional Poverty Convergence across Districts in Indonesia:A Distribution Dynamics Approach

Ragdad Cani Miranti

<style> h1.title {font-size: 18pt; color: DarkBlue;} body, h1, h2, h3, h4 {font-family: "Palatino", serif;} body {font-size: 12pt;} /* Headers */ h1,h2,h3,h4,h5,h6{font-size: 14pt; color: #00008B;} body {color: #333333;} a, a:hover {color: #8B3A62;} pre {font-size: 12px;} </style>

Suggested citation: Miranti, Ragdad Cani.(2020). Regional Poverty Convergence across Districts in Indonesia: A Distribution Dynamics Approach https://rpubs.com/canimiranti/distribution_dynamics_poverty514districts

This work is licensed under the Creative Commons Attribution-Non Commercial-Share Alike 4.0 International License

Original data source

Data of Headcount Index (Poverty Rate) are derived from the Indonesia Central Bureau of Statistics (Badan Pusat Statistik Republik of Indonesia). https://www.bps.go.id/

Acknowledgment:

Material adapted from multiple sources, in particular from Magrini (2007).

Libraries

knitr::opts_chunk$set(echo = TRUE)

library(readr)
library (dplyr)
library(ggplot2)
library(skimr)
library(kableExtra)    # html tables 
library(pdfCluster)    # density based clusters
library(hdrcde)        # conditional density estimation 
library(plotly)

library(intoo)
library(barsurf)
library(bivariate)

library(np)
library(quantreg)

library(basetheme)
basetheme("minimal")

library(viridis)
library(ggpointdensity)
library(isoband)

#library(MASS)
library(KernSmooth)


# Change the presentation of decimal numbers to 4 and avoid scientific notation
options(prompt="R> ", digits=4, scipen=7)

Tutorial objectives

  • Study the dynamics of univariate densities

  • Compute the bandwidth of a density

  • Study mobility plots

  • Study bi-variate densities

  • Study density-based clustering methods

  • Study conditional bi-variate densities

Import data

dat <- read_csv("data/poverty.csv")
dat <- as.data.frame(dat)

Transform data

Since the data is in relative terms, let us rename the variables and add new variables.

dat <- dat %>% 
  mutate(
    rel_pov2010 = pov2010/mean(pov2010),
    rel_pov2018 = pov2010/mean(pov2018)
  )
dat
##                       District Code pov2010 pov2011 pov2012 pov2013 pov2014
## 1                     Simeulue 1101   23.61   22.96   21.88   20.57   19.92
## 2                 Aceh Singkil 1102   19.38   18.93   17.92   18.73   17.77
## 3                 Aceh Selatan 1103   15.93   15.52   14.81   13.44   12.79
## 4                Aceh Tenggara 1104   16.78   16.39   15.64   14.39   13.75
## 5                   Aceh Timur 1105   18.42   18.01   17.19   16.59   15.88
## 6                  Aceh Tengah 1106   20.09   19.58   18.78   17.76   16.99
## 7                   Aceh Barat 1107   24.42   23.81   22.76   23.70   22.97
## 8                   Aceh Besar 1108   18.80   18.36   17.50   16.88   16.13
## 9                        Pidie 1109   23.80   23.19   22.12   21.12   20.29
## 10                     Bireuen 1110   19.50   19.06   18.21   17.65   16.94
## 11                  Aceh Utara 1111   23.43   22.89   21.89   20.34   19.58
## 12             Aceh Barat Daya 1112   19.93   19.49   18.51   18.92   17.99
## 13                   Gayo Lues 1113   23.90   23.38   22.31   22.33   21.43
## 14                Aceh Tamiang 1114   17.98   17.49   16.70   15.13   14.58
## 15                  Nagan Raya 1115   24.06   23.38   22.27   21.75   20.85
## 16                   Aceh Jaya 1116   20.17   19.80   18.30   17.53   16.52
## 17                Bener Meriah 1117   26.22   25.50   24.50   23.47   22.45
## 18                  Pidie Jaya 1118   26.07   25.43   24.35   22.70   21.78
## 19             Kota Banda Aceh 1171    9.19    9.08    8.65    8.03    7.78
## 20                 Kota Sabang 1172   21.68   21.31   20.51   18.31   17.02
## 21                 Kota Langsa 1173   15.01   14.66   13.93   12.62   12.08
## 22            Kota Lhokseumawe 1174   14.07   13.73   13.06   12.47   11.93
## 23           Kota Subulussalam 1175   24.33   23.85   22.64   20.69   19.72
## 24                        Nias 1201   19.97   19.11   18.67   17.28   16.39
## 25            Mandailing Natal 1202   12.60   11.98   11.57    9.62    9.28
## 26            Tapanuli Selatan 1203   11.96   11.40   11.10   11.33   10.74
## 27             Tapanuli Tengah 1204   16.73   15.96   15.03   15.41   14.47
## 28              Tapanuli Utara 1205   12.49   11.89   11.55   11.68   11.06
## 29                Toba Samosir 1206   10.15    9.67    9.43    9.54    9.23
## 30                Labuhan Batu 1207   10.67   10.15    9.61    8.53    8.20
## 31                      Asahan 1208   11.42   10.85   10.52   11.60   10.98
## 32                  Simalungun 1209   10.73   10.21    9.96   10.45   10.20
## 33                       Dairi 1210    9.97    9.48    9.28    8.68    8.40
## 34                        Karo 1211   11.02   10.49    9.93    9.79    9.20
## 35                Deli Serdang 1212    5.34    5.10    4.78    4.71    4.56
## 36                     Langkat 1213   10.84   10.31   10.02   10.44    9.99
## 37                Nias Selatan 1214   20.72   19.71   19.04   18.83   17.81
## 38          Humbang Hasundutan 1215   10.60   10.09    9.72   10.00    9.44
## 39               Pakpak Bharat 1216   13.78   13.16   12.40   11.28   10.55
## 40                     Samosir 1217   16.50   15.67   15.16   14.01   13.20
## 41             Serdang Bedagai 1218   10.59   10.07    9.89    9.35    8.98
## 42                   Batu Bara 1219   12.28   11.67   11.24   11.92   11.25
## 43          Padang Lawas Utara 1220   11.19   10.64    9.98   10.28    9.60
## 44                Padang Lawas 1221   11.13   10.56    9.80    8.59    8.03
## 45        Labuhan Batu Selatan 1222   15.58   14.86   13.95   12.36   11.54
## 46          Labuhan Batu Utara 1223   12.32   11.77   11.34   11.34   10.71
## 47                  Nias Utara 1224   31.90   30.44   29.49   30.94   29.28
## 48                  Nias Barat 1225   30.89   29.32   28.56   29.65   28.10
## 49                Kota Sibolga 1271   13.90   13.18   13.00   12.90   12.26
## 50          Kota Tanjung Balai 1272   16.31   15.52   14.85   14.85   14.02
## 51       Kota Pematang Siantar 1273   11.72   11.15   10.79   10.93   10.35
## 52          Kota Tebing Tinggi 1274   13.04   12.44   11.93   11.74   11.08
## 53                  Kota Medan 1275   10.05    9.63    9.33    9.64    9.12
## 54                 Kota Binjai 1276    7.33    7.00    6.72    6.75    6.38
## 55        Kota Padangsidimpuan 1277   10.53   10.08    9.60    9.04    8.52
## 56           Kota Gunungsitoli 1278   33.86   32.12   30.84   30.94   27.63
## 57          Kepulauan Mentawai 1301   19.74   18.85   16.71   16.12   14.96
## 58             Pesisir Selatan 1302   10.22    9.75    8.69    8.64    7.82
## 59                       Solok 1303   11.74   11.19   10.04   10.26    9.53
## 60                   Sijunjung 1304   10.45    9.94    8.80    8.53    7.74
## 61                 Tanah Datar 1305    6.90    6.57    5.96    5.77    5.29
## 62             Padang Pariaman 1306   11.86   11.26   10.13    9.17    8.39
## 63                        Agam 1307    9.84    9.39    8.44    7.68    7.02
## 64             Lima Puluh Kota 1308   10.47    9.96    8.90    8.26    7.48
## 65                     Pasaman 1309   10.96   10.42    9.31    8.37    7.60
## 66               Solok Selatan 1310   11.11   10.61    9.38    8.12    7.33
## 67                 Dharmasraya 1311   10.56   10.09    8.83    7.74    6.97
## 68               Pasaman Barat 1312    9.59    9.14    8.05    7.86    7.08
## 69                 Kota Padang 1371    6.31    6.02    5.30    5.02    4.56
## 70                  Kota Solok 1372    6.99    6.72    5.88    4.60    4.16
## 71            Kota Sawah Lunto 1373    2.47    2.34    2.17    2.28    2.25
## 72         Kota Padang Panjang 1374    7.60    7.25    6.50    6.66    6.40
## 73            Kota Bukittinggi 1375    6.82    6.49    5.74    5.36    4.96
## 74             Kota Payakumbuh 1376   10.58   10.09    9.00    7.81    7.01
## 75               Kota Pariaman 1377    5.90    5.66    5.02    5.35    5.12
## 76            Kuantan Singingi 1401   12.57   10.19   10.29   11.28   10.75
## 77              Indragiri Hulu 1402    8.90    7.25    7.17    7.50    7.28
## 78             Indragiri Hilir 1403    9.41    7.65    7.81    7.88    7.51
## 79                   Pelalawan 1404   14.51   11.93   11.11   12.00   11.15
## 80                        Siak 1405    6.49    5.29    5.17    5.54    5.22
## 81                      Kampar 1406   10.47    8.52    8.36    9.04    8.68
## 82                  Rokan Hulu 1407   13.03   10.66   10.13   10.86   10.13
## 83                   Bengkalis 1408    8.25    6.72    6.76    7.57    7.20
## 84                 Rokan Hilir 1409    9.30    7.58    7.37    7.73    7.28
## 85           Kepulauan Meranti 1410   42.56   34.53   35.88   35.74   33.85
## 86              Kota Pekanbaru 1471    4.20    3.45    3.38    3.27    3.17
## 87                  Kota Dumai 1473    6.45    5.27    5.23    4.98    4.83
## 88                     Kerinci 1501    7.83    7.36    7.71    7.35    7.43
## 89                    Merangin 1502    8.07    7.68    8.09    9.31    9.37
## 90                  Sarolangun 1503    9.66    9.10    9.46   10.51   10.17
## 91                 Batang Hari 1504   10.19    9.56   10.13   10.42   10.50
## 92                 Muaro Jambi 1505    5.29    4.98    5.08    4.58    4.45
## 93        Tanjung Jabung Timur 1506   12.40   11.60   12.50   13.42   13.55
## 94        Tanjung Jabung Barat 1507   11.08   10.43   10.92   11.61   11.64
## 95                        Tebo 1508    6.42    6.05    6.35    6.86    6.89
## 96                       Bungo 1509    5.70    5.35    5.55    5.25    5.12
## 97                  Kota Jambi 1571    9.90    9.27    9.80    8.91    8.94
## 98           Kota Sungai Penuh 1572    3.64    3.42    3.66    3.30    3.33
## 99           Ogan Komering Ulu 1601   12.28   11.58   11.19   12.31   11.96
## 100         Ogan Komering Ilir 1602   15.98   15.06   14.53   15.82   15.30
## 101                 Muara Enim 1603   14.51   13.71   13.21   14.26   13.76
## 102                      Lahat 1604   19.02   17.92   17.45   18.61   18.02
## 103                 Musi Rawas 1605   19.38   18.25   17.67   17.85   17.28
## 104             Musi Banyuasin 1606   20.06   18.99   18.29   18.02   17.38
## 105                 Banyu Asin 1607   12.39   11.66   11.27   12.28   11.88
## 106  Ogan Komering Ulu Selatan 1608   11.53   10.84   10.49   11.57   11.21
## 107    Ogan Komering Ulu Timur 1609    9.81    9.23    8.98   10.28   10.13
## 108                  Ogan Ilir 1610   13.97   13.18   12.79   13.86   13.38
## 109               Empat Lawang 1611   14.73   13.82   13.36   13.10   12.89
## 110 Penukal Abab Lematang Ilir 1612   14.67   13.42   13.43   12.86   12.80
## 111           Musi Rawas Utara 1613   23.83   21.67   22.01   22.91   20.32
## 112             Kota Palembang 1671   15.00   14.13   13.59   13.36   12.93
## 113            Kota Prabumulih 1672   12.93   12.19   11.71   11.23   10.86
## 114            Kota Pagar Alam 1673    9.81    9.24    9.00    9.00    8.90
## 115          Kota Lubuklinggau 1674   15.30   14.43   13.88   14.37   13.90
## 116           Bengkulu Selatan 1701   22.62   22.55   22.98   22.59   21.91
## 117              Rejang Lebong 1702   15.11   16.79   17.31   18.48   17.99
## 118             Bengkulu Utara 1703   14.75   14.40   14.41   14.50   13.95
## 119                       Kaur 1704   21.22   22.26   22.66   23.25   21.96
## 120                     Seluma 1705   20.81   20.90   21.21   21.84   21.17
## 121                   Mukomuko 1706   14.06   13.28   13.21   12.98   12.48
## 122                     Lebong 1707   13.01   12.43   12.48   12.89   12.44
## 123                  Kepahiang 1708   14.78   15.02   15.35   16.13   15.65
## 124            Bengkulu Tengah 1709    6.42    6.49    6.52    7.24    8.22
## 125              Kota Bengkulu 1771   17.69   22.23   22.11   21.51   20.16
## 126              Lampung Barat 1801   17.12   15.99   15.13   13.96   13.70
## 127                  Tanggamus 1802   18.30   17.06   16.10   15.24   14.95
## 128            Lampung Selatan 1803   20.61   19.23   18.19   17.09   16.77
## 129              Lampung Timur 1804   21.06   19.66   18.59   17.38   17.05
## 130             Lampung Tengah 1805   16.88   15.76   14.96   13.37   13.13
## 131              Lampung Utara 1806   28.19   26.33   25.17   23.67   23.32
## 132                  Way Kanan 1807   18.81   17.63   16.54   15.36   15.03
## 133               Tulangbawang 1808   10.80   10.11    9.43    8.04    8.66
## 134                  Pesawaran 1809   20.48   19.06   18.01   17.86   17.51
## 135                  Pringsewu 1810   12.45   11.62   11.01    9.81    9.83
## 136                     Mesuji 1811    8.65    8.07    7.69    5.81    6.57
## 137        Tulang Bawang Barat 1812    7.63    7.11    6.73    6.31    7.12
## 138              Pesisir Barat 1813   15.36   13.61   14.10   14.75   13.80
## 139        Kota Bandar Lampung 1871   14.58   12.90   12.65   10.85   10.60
## 140                 Kota Metro 1872   13.77   12.60   12.09   11.08   10.82
## 141                     Bangka 1901    7.81    5.36    5.57    5.40    5.20
## 142                   Belitung 1902   10.13    6.97    7.26    8.48    7.36
## 143               Bangka Barat 1903    5.25    3.59    3.72    3.26    3.15
## 144              Bangka Tengah 1904    8.07    5.56    5.77    5.46    5.27
## 145             Bangka Selatan 1905    6.18    4.23    4.40    4.01    3.87
## 146             Belitung Timur 1906   10.36    7.13    7.43    6.90    6.68
## 147        Kota Pangkal Pinang 1971    6.02    4.15    4.29    4.15    4.04
## 148                    Karimun 2101    7.21    5.93    6.37    6.69    6.85
## 149                     Bintan 2102    7.33    6.04    6.30    6.23    6.09
## 150                     Natuna 2103    4.83    4.06    4.26    3.78    4.11
## 151                     Lingga 2104   15.81   12.98   14.17   14.03   14.75
## 152          Kepulauan Anambas 2105    4.80    3.95    4.17    4.47    4.91
## 153                 Kota Batam 2171    7.26    6.11    5.90    5.20    5.30
## 154        Kota Tanjung Pinang 2172   12.60   10.52   11.04   10.40    9.94
## 155           Kepulauan Seribu 3101   13.01   11.53   11.62   11.01   11.56
## 156       Kota Jakarta Selatan 3171    3.81    3.43    3.49    3.47    3.72
## 157         Kota Jakarta Timur 3172    3.41    3.06    3.12    3.10    3.43
## 158         Kota Jakarta Pusat 3173    3.97    3.56    3.72    3.70    4.12
## 159         Kota Jakarta Barat 3174    3.81    3.44    3.47    3.46    3.72
## 160         Kota Jakarta Utara 3175    5.62    5.07    5.14    5.30    6.00
## 161                      Bogor 3201    9.97    9.65    8.82    9.54    8.91
## 162                   Sukabumi 3202   10.65   10.28    9.78    9.24    8.81
## 163                    Cianjur 3203   14.32   13.82   13.17   12.02   11.47
## 164                    Bandung 3204    9.29    8.99    8.32    7.94    7.65
## 165                      Garut 3205   13.94   13.47   12.70   12.79   12.47
## 166                Tasikmalaya 3206   12.78   12.36   11.75   11.57   11.26
## 167                     Ciamis 3207   10.34    9.98    9.61    8.62    8.38
## 168                   Kuningan 3208   14.68   14.20   13.69   13.34   12.72
## 169                    Cirebon 3209   16.12   15.56   14.94   14.65   14.22
## 170                 Majalengka 3210   15.51   14.98   14.44   14.07   13.42
## 171                   Sumedang 3211   12.94   12.48   11.85   11.31   10.78
## 172                  Indramayu 3212   16.58   16.01   15.42   14.99   14.29
## 173                     Subang 3213   13.54   13.06   12.47   12.35   11.73
## 174                 Purwakarta 3214   10.57   10.22    9.56    9.28    8.80
## 175                   Karawang 3215   12.21   11.80   11.10   10.69   10.15
## 176                     Bekasi 3216    6.11    5.93    5.25    5.20    4.97
## 177              Bandung Barat 3217   14.68   14.22   13.33   12.92   12.26
## 178                Pangandaran 3218   12.85   11.57   10.66   11.40   10.61
## 179                 Kota Bogor 3271    9.47    9.16    8.47    8.19    7.74
## 180              Kota Sukabumi 3272    9.24    8.95    8.41    8.05    7.65
## 181               Kota Bandung 3273    4.95    4.78    4.55    4.78    4.65
## 182               Kota Cirebon 3274   12.00   11.56   11.08   10.54   10.03
## 183                Kota Bekasi 3275    6.30    6.12    5.55    5.33    5.25
## 184                 Kota Depok 3276    2.84    2.75    2.46    2.32    2.32
## 185                Kota Cimahi 3277    7.40    7.15    6.67    5.63    5.47
## 186           Kota Tasikmalaya 3278   20.71   19.98   18.92   17.19   15.95
## 187                Kota Banjar 3279    8.47    8.21    7.78    7.11    6.95
## 188                    Cilacap 3301   18.11   17.15   15.92   15.24   14.21
## 189                   Banyumas 3302   20.20   21.11   19.44   18.44   17.45
## 190                Purbalingga 3303   24.58   23.06   21.19   20.53   19.75
## 191               Banjarnegara 3304   19.17   20.38   18.87   18.71   17.77
## 192                    Kebumen 3305   22.70   24.06   22.40   21.32   20.50
## 193                  Purworejo 3306   16.61   17.51   16.32   15.44   14.41
## 194                   Wonosobo 3307   23.15   24.21   22.50   22.08   21.42
## 195                   Magelang 3308   14.14   15.18   13.97   13.96   12.98
## 196                   Boyolali 3309   13.72   14.97   13.88   13.27   12.36
## 197                     Klaten 3310   17.47   17.95   16.71   15.60   14.56
## 198                  Sukoharjo 3311   10.94   11.13   10.16    9.87    9.18
## 199                   Wonogiri 3312   15.67   15.74   14.67   14.02   13.09
## 200                Karanganyar 3313   13.98   15.29   14.07   13.58   12.62
## 201                     Sragen 3314   17.49   17.95   16.72   15.93   14.87
## 202                   Grobogan 3315   17.86   17.38   16.14   14.87   13.86
## 203                      Blora 3316   16.27   16.24   15.11   14.64   13.66
## 204                    Rembang 3317   23.40   23.71   21.88   20.97   19.50
## 205                       Pati 3318   14.48   14.69   13.61   12.94   12.06
## 206                      Kudus 3319    9.01    9.45    8.63    8.62    7.99
## 207                     Jepara 3320   10.18   10.32    9.38    9.23    8.55
## 208                      Demak 3321   18.76   18.21   16.73   15.72   14.60
## 209                   Semarang 3322   10.50   10.30    9.40    8.51    8.05
## 210                 Temanggung 3323   13.46   13.38   12.32   12.42   11.55
## 211                     Kendal 3324   14.47   14.26   13.17   12.68   11.80
## 212                     Batang 3325   14.67   13.47   12.40   11.96   11.13
## 213                 Pekalongan 3326   16.29   15.00   13.86   13.51   12.57
## 214                   Pemalang 3327   19.96   20.68   19.28   19.27   18.44
## 215                      Tegal 3328   13.11   11.54   10.75   10.58    9.87
## 216                     Brebes 3329   23.01   22.72   21.12   20.82   20.00
## 217              Kota Magelang 3371   10.51   11.06   10.31    9.80    9.14
## 218             Kota Surakarta 3372   13.96   12.90   12.01   11.74   10.95
## 219              Kota Salatiga 3373    8.28    7.80    7.11    6.40    5.93
## 220              Kota Semarang 3374    5.12    5.68    5.13    5.25    5.04
## 221            Kota Pekalongan 3375    9.36   10.04    9.47    8.26    8.02
## 222                 Kota Tegal 3376   10.62   10.81   10.04    8.84    8.54
## 223                Kulon Progo 3401   23.15   23.62   23.32   21.39   20.64
## 224                     Bantul 3402   16.09   17.28   16.97   16.48   15.89
## 225               Gunung Kidul 3403   22.05   23.03   22.72   21.70   20.83
## 226                     Sleman 3404   10.70   10.61   10.44    9.68    9.50
## 227            Kota Yogyakarta 3471    9.75    9.62    9.38    8.82    8.67
## 228                    Pacitan 3501   19.50   18.13   17.22   16.73   16.18
## 229                   Ponorogo 3502   13.22   12.29   11.72   11.92   11.53
## 230                 Trenggalek 3503   16.00   14.90   14.15   13.56   13.10
## 231                Tulungagung 3504   10.64    9.90    9.37    9.07    8.75
## 232                     Blitar 3505   12.13   11.29   10.70   10.57   10.22
## 233                     Kediri 3506   15.52   14.44   13.66   13.23   12.77
## 234                     Malang 3507   12.54   11.67   11.00   11.48   11.07
## 235                   Lumajang 3508   13.98   13.01   12.36   12.14   11.75
## 236                     Jember 3509   13.27   12.44   11.76   11.68   11.28
## 237                 Banyuwangi 3510   11.25   10.47    9.93    9.61    9.29
## 238                  Bondowoso 3511   17.89   16.66   15.75   15.29   14.76
## 239                  Situbondo 3512   16.23   15.11   14.29   13.65   13.15
## 240                Probolinggo 3513   25.22   23.48   22.14   21.21   20.44
## 241                   Pasuruan 3514   13.18   12.26   11.53   11.26   10.86
## 242                   Sidoarjo 3515    7.45    6.97    6.42    6.72    6.40
## 243                  Mojokerto 3516   12.23   11.38   10.67   10.99   10.56
## 244                    Jombang 3517   13.84   12.88   12.18   11.17   10.80
## 245                    Nganjuk 3518   14.91   13.88   13.17   13.60   13.14
## 246                     Madiun 3519   15.45   14.37   13.65   12.45   12.04
## 247                    Magetan 3520   12.94   12.01   11.45   12.19   11.80
## 248                      Ngawi 3521   18.26   16.74   15.94   15.45   14.88
## 249                 Bojonegoro 3522   18.78   17.47   16.60   16.02   15.48
## 250                      Tuban 3523   20.19   18.78   17.77   17.23   16.64
## 251                   Lamongan 3524   18.70   17.41   16.64   16.18   15.68
## 252                     Gresik 3525   16.42   15.33   14.29   13.94   13.41
## 253                  Bangkalan 3526   28.12   26.22   24.61   23.23   22.38
## 254                    Sampang 3527   32.47   30.21   27.87   27.08   25.80
## 255                  Pamekasan 3528   22.47   20.94   19.53   18.53   17.74
## 256                    Sumenep 3529   24.61   23.10   21.87   21.22   20.49
## 257                Kota Kediri 3571    9.31    8.63    8.11    8.23    7.95
## 258                Kota Blitar 3572    7.63    7.12    6.72    7.42    7.15
## 259                Kota Malang 3573    5.90    5.50    5.19    4.87    4.80
## 260           Kota Probolinggo 3574   19.03   17.74   18.33    8.55    8.37
## 261              Kota Pasuruan 3575    9.00    8.39    7.87    7.60    7.34
## 262             Kota Mojokerto 3576    7.41    6.89    6.46    6.65    6.42
## 263                Kota Madiun 3577    6.11    5.66    5.35    5.02    4.86
## 264              Kota Surabaya 3578    7.07    6.58    6.23    6.00    5.79
## 265                  Kota Batu 3579    5.08    4.74    4.45    4.77    4.59
## 266                 Pandeglang 3601   11.14    9.80    9.27   10.25    9.50
## 267                      Lebak 3602   10.38    9.20    8.62    9.50    9.17
## 268                  Tangerang 3603    7.18    6.42    5.71    5.78    5.26
## 269                     Serang 3604    6.34    5.63    5.28    5.02    4.87
## 270             Kota Tangerang 3671    6.88    6.14    5.55    5.26    4.91
## 271               Kota Cilegon 3672    4.46    3.98    3.81    3.99    3.81
## 272                Kota Serang 3673    7.02    6.25    5.69    5.92    5.70
## 273     Kota Tangerang Selatan 3674    1.67    1.50    1.33    1.75    1.68
## 274                   Jembrana 5101    8.11    6.56    5.74    5.56    5.83
## 275                    Tabanan 5102    6.96    5.62    4.90    5.21    5.61
## 276                     Badung 5103    3.23    2.62    2.16    2.46    2.54
## 277                    Gianyar 5104    6.68    5.40    4.69    4.27    4.57
## 278                  Klungkung 5105    7.58    6.10    5.37    7.01    7.01
## 279                     Bangli 5106    6.41    5.16    4.52    5.45    5.86
## 280                Karang Asem 5107    7.95    6.43    5.63    6.88    7.30
## 281                   Buleleng 5108    7.35    5.93    5.19    6.31    6.79
## 282              Kota Denpasar 5171    2.21    1.79    1.52    2.07    2.21
## 283               Lombok Barat 5201   21.59   19.70   17.91   17.43   17.11
## 284              Lombok Tengah 5202   19.92   18.14   16.71   16.20   16.03
## 285               Lombok Timur 5203   23.82   21.71   20.07   19.16   19.00
## 286                    Sumbawa 5204   21.74   19.82   18.25   17.04   16.87
## 287                      Dompu 5205   19.89   18.17   16.57   14.24   15.46
## 288                       Bima 5206   19.41   17.66   16.22   16.24   16.04
## 289              Sumbawa Barat 5207   21.81   19.88   17.60   17.10   16.87
## 290               Lombok Utara 5208   43.12   39.27   35.97   35.88   34.27
## 291               Kota Mataram 5271   14.44   13.18   11.87   10.75   10.53
## 292                  Kota Bima 5272   12.81   11.69   10.54    9.91    9.74
## 293                Sumba Barat 5301   31.71   29.84   29.56   28.92   27.79
## 294                Sumba Timur 5302   32.41   30.63   30.30   28.58   27.63
## 295                     Kupang 5303   20.78   19.54   20.10   20.06   19.05
## 296       Timor Tengah Selatan 5304   28.70   26.96   27.49   27.81   26.79
## 297         Timor Tengah Utara 5305   22.72   21.33   21.53   21.59   20.89
## 298                       Belu 5306   15.48   14.61   14.52   14.58   14.24
## 299                       Alor 5307   21.16   19.97   20.03   20.11   19.48
## 300                    Lembata 5308   26.74   25.17   24.74   23.25   22.32
## 301               Flores Timur 5309    9.61    9.06    9.12    8.10    7.83
## 302                      Sikka 5310   13.38   12.63   12.81   12.66   12.27
## 303                       Ende 5311   21.64   20.37   20.68   21.03   20.37
## 304                      Ngada 5312   12.05   11.36   11.33   11.19   10.76
## 305                  Manggarai 5313   22.90   21.39   21.49   20.96   20.22
## 306                  Rote Ndao 5314   32.79   30.99   29.07   28.25   26.85
## 307            Manggarai Barat 5315   20.39   19.27   18.87   18.21   17.20
## 308               Sumba Tengah 5316   34.02   32.10   32.05   31.93   31.40
## 309           Sumba Barat Daya 5317   29.87   27.93   27.67   26.87   25.78
## 310                    Nagekeo 5318   12.70   12.01   12.16   12.08   12.02
## 311            Manggarai Timur 5319   25.93   24.52   24.56   24.85   24.01
## 312                Sabu Raijua 5320   41.13   39.49   32.61   31.02   29.48
## 313                     Malaka 5321   21.51   19.11   18.96   19.11   17.36
## 314                Kota Kupang 5371   10.56    9.88    9.39    9.12    8.70
## 315                     Sambas 6101   10.08    9.38    8.88    9.90    9.46
## 316                 Bengkayang 6102    7.81    7.25    6.74    8.01    7.20
## 317                     Landak 6103   14.05   13.13   12.41   14.18   13.71
## 318                  Pontianak 6104    6.41    5.97    5.64    6.30    6.00
## 319                    Sanggau 6105    5.02    4.67    4.40    4.71    4.47
## 320                   Ketapang 6106   13.67   12.75   11.91   12.85   11.60
## 321                    Sintang 6107    9.76    9.07    8.55   10.09    9.11
## 322                Kapuas Hulu 6108   11.39   10.61    9.95   11.11   10.03
## 323                    Sekadau 6109    6.77    6.30    5.93    6.93    6.31
## 324                     Melawi 6110   13.76   12.93   12.10   13.70   12.40
## 325               Kayong Utara 6111   11.68   10.91   10.16   10.87    9.55
## 326                  Kubu Raya 6112    7.14    6.67    6.27    6.04    5.45
## 327             Kota Pontianak 6171    6.62    6.15    5.77    5.56    5.15
## 328            Kota Singkawang 6172    6.12    5.69    5.32    6.50    5.88
## 329         Kotawaringin Barat 6201    6.97    6.19    5.64    5.44    5.27
## 330         Kotawaringin Timur 6202    8.36    7.43    6.91    6.85    6.67
## 331                     Kapuas 6203    7.11    6.28    6.11    6.19    6.12
## 332             Barito Selatan 6204    8.56    7.56    7.26    6.26    6.13
## 333               Barito Utara 6205    7.18    6.33    6.11    5.98    5.88
## 334                   Sukamara 6206    6.63    5.90    5.37    4.56    4.29
## 335                   Lamandau 6207    5.81    5.18    4.66    4.87    4.66
## 336                    Seruyan 6208    9.98    8.82    7.92    8.77    8.39
## 337                   Katingan 6209    7.56    6.47    6.10    6.55    6.42
## 338               Pulang Pisau 6210    6.18    5.45    5.25    5.45    5.35
## 339                 Gunung Mas 6211    8.06    7.12    6.56    6.90    6.70
## 340               Barito Timur 6212   10.50    9.27    8.53    8.83    8.55
## 341                Murung Raya 6213    7.05    6.30    5.78    6.44    6.24
## 342         Kota Palangka Raya 6271    5.31    4.69    4.24    3.94    3.81
## 343                 Tanah Laut 6301    5.12    4.85    4.56    4.33    4.38
## 344                  Kota Baru 6302    5.45    5.18    4.86    4.73    4.76
## 345                     Banjar 6303    3.34    3.17    2.97    2.84    2.87
## 346               Barito Kuala 6304    5.72    5.41    5.12    5.12    5.19
## 347                      Tapin 6305    5.57    5.29    5.00    3.41    3.63
## 348        Hulu Sungai Selatan 6306    7.66    7.25    6.90    6.67    6.77
## 349         Hulu Sungai Tengah 6307    6.31    5.98    5.68    5.57    5.65
## 350          Hulu Sungai Utara 6308    7.76    7.31    6.94    6.92    7.00
## 351                   Tabalong 6309    6.53    6.22    5.84    6.15    6.21
## 352                Tanah Bumbu 6310    6.48    6.17    5.48    5.20    5.21
## 353                   Balangan 6311    7.74    7.31    6.86    6.17    6.29
## 354           Kota Banjarmasin 6371    5.04    4.77    4.51    4.21    4.27
## 355           Kota Banjar Baru 6372    5.98    5.68    5.16    4.50    4.35
## 356                      Paser 6401    9.48    7.91    7.64    7.94    7.87
## 357                Kutai Barat 6402    9.90    8.25    8.28    7.70    7.53
## 358          Kutai Kartanegara 6403    8.68    7.21    6.94    7.52    7.43
## 359                Kutai Timur 6404   11.38    9.43    8.77    9.06    9.10
## 360                      Berau 6405    6.60    5.46    5.24    4.83    4.76
## 361        Penajam Paser Utara 6409   10.46    8.67    8.57    7.70    7.56
## 362               Mahakam Hulu 6411    8.71    8.90   10.14    9.43    9.66
## 363            Kota Balikpapan 6471    4.07    3.39    3.30    2.48    2.46
## 364             Kota Samarinda 6472    5.21    4.31    4.18    4.63    4.56
## 365               Kota Bontang 6474    6.67    5.40    5.20    5.16    5.10
## 366                    Malinau 6501   15.29   12.67   11.68   10.48   10.12
## 367                   Bulungan 6502   14.57   12.14   11.73   12.04   11.87
## 368                Tana Tidung 6503   13.89   11.41    9.81   10.21    9.50
## 369                    Nunukan 6504   12.45   10.38    9.60    9.51    8.69
## 370               Kota Tarakan 6571   10.23    8.41    7.95    7.90    7.68
## 371          Bolaang Mongondow 7101    9.70    8.60    7.67    8.91    8.59
## 372                   Minahasa 7102    8.99    7.93    7.15    8.81    8.53
## 373          Kepulauan Sangihe 7103   13.21   11.69   10.65   12.19   11.84
## 374           Kepulauan Talaud 7104   11.37   10.05    9.06   10.27    9.92
## 375           Minahasa Selatan 7105   10.74    9.48    8.61   10.08    9.85
## 376             Minahasa Utara 7106    8.38    7.38    6.68    8.02    7.75
## 377    Bolaang Mongondow Utara 7107   10.23    8.98    8.01    9.61    9.27
## 378     Siau Tagulandang Biaro 7108   11.79   10.38    9.47   11.36   11.03
## 379          Minahasa Tenggara 7109   17.64   15.35   14.24   16.10   15.76
## 380  Bolaang Mongondow Selatan 7110   18.81   16.57   15.07   15.28   15.00
## 381    Bolaang Mongondow Timur 7111    7.81    6.93    6.20    6.92    6.61
## 382                Kota Manado 7171    6.15    5.40    4.91    4.88    4.81
## 383                Kota Bitung 7172    9.52    8.46    7.45    6.45    6.34
## 384               Kota Tomohon 7173    7.39    6.56    5.82    6.57    6.32
## 385            Kota Kotamobagu 7174    7.57    6.64    5.85    5.98    5.75
## 386          Banggai Kepulauan 7201   19.47   18.08   17.03   16.30   15.45
## 387                    Banggai 7202   12.06   11.25   10.48    9.81    9.27
## 388                   Morowali 7203   20.27   18.85   17.25   15.92   14.97
## 389                       Poso 7204   21.42   20.10   18.46   18.22   17.09
## 390                   Donggala 7205   19.42   18.03   17.02   17.18   16.30
## 391                   ToliToli 7206   16.16   15.03   14.12   13.86   13.14
## 392                       Buol 7207   18.67   17.40   15.99   15.06   14.18
## 393             Parigi Moutong 7208   20.11   18.70   17.36   17.03   16.60
## 394                Tojo UnaUna 7209   24.06   22.37   20.97   20.61   18.95
## 395                       Sigi 7210   15.09   14.03   13.20   12.27   11.63
## 396               Banggai Laut 7211   20.58   19.20   17.78   17.58   16.74
## 397             Morowali Utara 7212   17.85   15.72   14.91   14.79   15.29
## 398                  Kota Palu 7271    9.98    9.24    8.58    7.24    7.05
## 399          Kepulauan Selayar 7301   14.98   13.49   12.87   14.23   13.13
## 400                  Bulukumba 7302    9.02    8.12    7.82    9.04    8.37
## 401                   Bantaeng 7303   10.24    9.21    8.89   10.45    9.68
## 402                  Jeneponto 7304   19.09   17.16   16.58   16.52   15.31
## 403                    Takalar 7305   11.16   10.04    9.59   10.42    9.62
## 404                       Gowa 7306    9.49    8.55    8.05    8.73    8.00
## 405                     Sinjai 7307   10.68    9.63    9.28   10.32    9.56
## 406                      Maros 7308   14.62   13.14   12.55   12.94   11.93
## 407   Pangkajene Dan Kepulauan 7309   19.26   17.36   16.62   17.75   16.38
## 408                      Barru 7310   10.68    9.59    9.28   10.32    9.74
## 409                       Bone 7311   14.08   12.67   12.25   11.92   10.88
## 410                    Soppeng 7312   10.41    9.36    9.12    9.43    8.76
## 411                       Wajo 7313    8.96    8.06    7.83    8.17    7.74
## 412          Sidenreng Rappang 7314    6.99    6.29    6.00    6.30    5.82
## 413                    Pinrang 7315    9.01    8.12    7.82    8.86    8.20
## 414                   Enrekang 7316   16.84   15.18   14.44   15.11   13.90
## 415                       Luwu 7317   15.43   13.93   13.33   15.10   13.95
## 416                Tana Toraja 7318   14.61   13.22   12.72   13.81   12.77
## 417                 Luwu Utara 7322   16.24   14.64   14.02   15.52   14.31
## 418                 Luwu Timur 7325    9.18    8.29    7.71    8.38    7.67
## 419               Toraja Utara 7326   19.08   17.06   16.27   16.53   15.10
## 420              Kota Makassar 7371    5.86    5.29    5.02    4.70    4.48
## 421              Kota Parepare 7372    6.53    5.91    5.58    6.38    5.88
## 422                Kota Palopo 7373   11.28   10.22    9.46    9.57    8.80
## 423                      Buton 7401   17.95   16.64   15.47   15.25   14.31
## 424                       Muna 7402   17.35   16.14   14.65   15.32   14.46
## 425                     Konawe 7403   17.45   15.83   14.63   16.58   15.47
## 426                     Kolaka 7404   18.90   17.62   15.57   16.20   14.99
## 427             Konawe Selatan 7405   14.13   12.57   11.23   12.45   11.60
## 428                    Bombana 7406   15.70   14.68   12.82   14.28   13.20
## 429                   Wakatobi 7407   18.49   17.10   16.00   17.40   16.27
## 430               Kolaka Utara 7408   20.04   18.76   16.41   17.41   16.10
## 431                Buton Utara 7409   18.78   17.34   15.76   17.53   16.35
## 432               Konawe Utara 7410   13.69   12.80   11.79   10.62   10.15
## 433               Kolaka Timur 7411   19.06   16.94   15.85   17.34   15.58
## 434           Konawe Kepulauan 7412   20.74   19.54   18.32   18.18   16.85
## 435                 Muna Barat 7413   15.65   15.69   15.62   15.65   15.80
## 436               Buton Tengah 7414   23.14   22.41   21.86   23.34   21.05
## 437              Buton Selatan 7415   20.36   20.04   20.76   20.24   18.71
## 438               Kota Kendari 7471    8.02    5.89    6.40    6.07    5.56
## 439                Kota Baubau 7472   12.06   11.32   10.03   10.11    9.25
## 440                    Boalemo 7501   19.82   21.90   20.41   21.79   20.79
## 441                  Gorontalo 7502   18.87   21.31   20.78   21.57   21.05
## 442                   Pohuwato 7503   18.73   21.58   20.17   21.47   20.69
## 443               Bone Bolango 7504   17.64   17.39   16.66   17.19   16.68
## 444            Gorontalo Utara 7505   19.58   19.22   18.53   19.16   18.34
## 445             Kota Gorontalo 7571    5.49    5.97    5.61    5.99    5.85
## 446                     Majene 7601   18.41   17.06   16.52   15.26   15.05
## 447            Polewali Mandar 7602   21.24   19.66   19.10   18.02   17.79
## 448                     Mamasa 7603   16.24   15.04   14.38   13.92   13.82
## 449                     Mamuju 7604    8.16    7.59    7.12    6.81    6.72
## 450               Mamuju Utara 7605    6.20    5.77    5.30    4.71    4.65
## 451              Mamuju Tengah 7606    8.42    8.30    7.97    7.45    6.02
## 452      Maluku Tenggara Barat 8101   33.93   30.13   28.43   29.75   28.56
## 453            Maluku Tenggara 8102   30.70   27.16   26.01   25.06   24.21
## 454              Maluku Tengah 8103   28.41   25.15   24.04   22.15   21.41
## 455                       Buru 8104   24.82   22.00   19.77   18.51   17.55
## 456              Kepulauan Aru 8105   34.96   30.96   28.55   27.34   26.33
## 457         Seram Bagian Barat 8106   30.08   26.70   25.34   24.63   23.79
## 458         Seram Bagian Timur 8107   31.44   27.94   25.90   24.49   23.40
## 459          Maluku Barat Daya 8108   39.22   34.49   32.53   29.25   28.33
## 460               Buru Selatan 8109   21.82   19.33   18.28   17.05   16.59
## 461                 Kota Ambon 8171    7.67    6.83    5.98    4.42    4.23
## 462                  Kota Tual 8172   32.01   28.17   25.64   23.28   22.31
## 463            Halmahera Barat 8201   13.30   12.93   10.65    9.78    9.56
## 464           Halmahera Tengah 8202   24.56   22.68   18.47   17.44   16.88
## 465             Kepulauan Sula 8203    8.98   10.42    8.54    9.16    8.76
## 466          Halmahera Selatan 8204    9.51    8.11    6.58    6.04    5.87
## 467            Halmahera Utara 8205    7.82    8.46    6.75    5.90    5.74
## 468            Halmahera Timur 8206   19.30   20.72   16.41   16.43   15.94
## 469              Pulau Morotai 8207   10.59   11.61    9.49    9.18    8.74
## 470              Pulau Taliabu 8208    9.16    8.78    8.08    8.65    7.87
## 471               Kota Ternate 8271    4.53    5.16    4.02    3.24    3.16
## 472      Kota Tidore Kepulauan 8272    7.08    7.34    6.02    5.77    5.71
## 473                     Fakfak 9101   33.25   33.18   29.28   29.84   29.18
## 474                    Kaimana 9102   20.89   20.84   18.01   18.60   17.65
## 475              Teluk Wondama 9103   44.25   43.86   38.43   39.43   38.81
## 476              Teluk Bintuni 9104   47.53   47.44   40.62   40.33   38.92
## 477                  Manokwari 9105   34.00   33.95   29.43   28.45   27.63
## 478             Sorong Selatan 9106   23.02   22.93   20.01   20.50   19.73
## 479                     Sorong 9107   33.43   33.38   33.70   35.48   34.30
## 480                 Raja Ampat 9108   23.58   23.50   21.05   21.16   20.73
## 481                   Tambrauw 9109   44.71   43.77   38.77   38.68   38.35
## 482                    Maybrat 9110   40.13   40.16   34.99   35.64   35.20
## 483          Manokwari Selatan  911   34.53   32.85   32.76   33.07   31.31
## 484           Pegunungan Arfak 9112   42.16   41.19   39.03   37.97   36.19
## 485                Kota Sorong 9171   14.04   14.04   19.36   19.27   18.37
## 486                    Merauke 9401   14.54   13.22   12.94   12.33   10.20
## 487                 Jayawijaya 9402   41.84   39.03   39.04   41.81   39.60
## 488                   Jayapura 9403   18.64   17.30   17.08   17.58   14.18
## 489                     Nabire 9404   33.68   30.86   30.64   27.69   23.92
## 490            Kepulauan Yapen 9408   33.54   30.76   30.34   29.32   26.39
## 491                Biak Numfor 9409   33.61   30.31   29.83   30.28   27.44
## 492                     Paniai 9410   43.47   37.18   38.68   40.15   36.07
## 493                Puncak Jaya 9411   43.80   40.25   38.20   39.92   36.15
## 494                     Mimika 9412   22.57   20.78   20.08   20.37   16.11
## 495               Boven Digoel 9413   25.79   23.52   22.78   23.70   18.87
## 496                      Mappi 9414   33.11   30.14   29.29   30.35   25.95
## 497                      Asmat 9415   35.40   32.38   30.56   33.84   29.10
## 498                   Yahukimo 9416   46.21   42.49   41.97   43.27   39.02
## 499         Pegunungan Bintang 9417   40.08   36.23   35.62   37.23   32.78
## 500                   Tolikara 9418   41.17   37.81   36.29   38.00   33.27
## 501                      Sarmi 9419   21.09   19.42   18.82   17.72   13.32
## 502                     Keerom 9420   24.12   21.98   21.65   23.23   19.12
## 503                    Waropen 9426   39.88   36.23   36.62   37.27   32.63
## 504                    Supiori 9427   45.75   42.73   41.56   41.50   36.65
## 505             Mamberamo Raya 9428   39.98   36.38   35.20   34.25   29.86
## 506                    Nduga * 9429   42.53   39.49   38.13   39.69   35.89
## 507                 Lanny Jaya 9430   46.55   43.68   42.31   43.79   39.26
## 508           Mamberamo Tengah 9431   43.15   43.69   42.83   39.59   35.47
## 509                     Yalimo 9432   44.13   40.65   39.48   40.33   35.65
## 510                     Puncak 9433   44.65   40.77   39.37   41.96   37.85
## 511                    Dogiyai 9434   33.96   30.40   30.07   32.25   29.10
## 512                 Intan Jaya 9435   47.82   41.53   40.64   42.03   38.16
## 513                     Deiyai 9436   49.58   46.76   45.92   47.52   44.49
## 514              Kota Jayapura 9471   17.31   16.03   15.76   16.19   12.21
##     pov2015 pov2016 pov2017 pov2018 rel_pov2010 rel_pov2018
## 1     20.43   19.93   20.20   19.78      1.5120      1.9133
## 2     21.72   21.60   22.11   21.25      1.2411      1.5705
## 3     13.24   13.48   14.07   14.01      1.0202      1.2909
## 4     14.91   14.46   14.86   14.29      1.0746      1.3598
## 5     15.85   15.06   15.25   14.49      1.1796      1.4927
## 6     17.51   16.64   16.84   15.58      1.2866      1.6281
## 7     21.46   20.38   20.28   19.31      1.5639      1.9790
## 8     15.93   15.55   15.41   14.47      1.2039      1.5235
## 9     21.18   21.25   21.43   20.47      1.5241      1.9287
## 10    16.94   15.95   15.87   14.31      1.2488      1.5802
## 11    19.20   19.46   19.78   18.27      1.5005      1.8987
## 12    18.25   18.03   18.31   17.10      1.2763      1.6151
## 13    21.95   21.86   21.97   20.70      1.5306      1.9368
## 14    14.57   14.51   14.69   14.21      1.1514      1.4571
## 15    20.13   19.25   19.34   18.97      1.5408      1.9498
## 16    15.93   15.01   14.85   14.16      1.2917      1.6345
## 17    21.55   21.43   21.14   20.13      1.6791      2.1248
## 18    21.40   21.18   21.82   20.17      1.6695      2.1127
## 19     7.72    7.41    7.44    7.25      0.5885      0.7447
## 20    17.69   17.33   17.66   16.31      1.3884      1.7569
## 21    11.62   11.09   11.24   10.79      0.9612      1.2164
## 22    12.16   11.98   12.32   11.81      0.9010      1.1402
## 23    20.39   19.57   19.71   18.51      1.5581      1.9717
## 24    18.05   17.64   18.11   16.37      1.2789      1.6183
## 25    11.13   10.98   11.02    9.58      0.8069      1.0211
## 26    11.37   11.15   10.60    9.16      0.7659      0.9692
## 27    15.00   14.58   14.66   13.17      1.0714      1.3558
## 28    11.41   11.25   11.35    9.75      0.7999      1.0122
## 29    10.21   10.08   10.19    8.67      0.6500      0.8225
## 30     8.99    8.95    8.89    8.61      0.6833      0.8647
## 31    12.09   11.86   11.67   10.25      0.7313      0.9255
## 32    10.96   10.81   10.65    9.31      0.6871      0.8695
## 33     9.09    8.90    8.87    8.20      0.6385      0.8080
## 34     9.68    9.81    9.97    8.67      0.7057      0.8930
## 35     4.74    4.86    4.62    4.13      0.3420      0.4327
## 36    11.30   11.36   11.15   10.20      0.6942      0.8785
## 37    19.05   18.60   18.48   16.65      1.3269      1.6791
## 38     9.85    9.78    9.85    9.00      0.6788      0.8590
## 39    11.26   10.72   10.53    9.74      0.8825      1.1167
## 40    14.11   14.40   14.72   13.38      1.0567      1.3371
## 41     9.59    9.53    9.30    8.22      0.6782      0.8582
## 42    12.61   12.24   12.48   12.57      0.7864      0.9952
## 43    10.97   10.87   10.70   10.06      0.7166      0.9068
## 44     8.73    8.69    9.10    8.41      0.7128      0.9020
## 45    11.65   11.49   11.63   10.00      0.9977      1.2626
## 46    11.31   10.97   11.28   10.12      0.7890      0.9984
## 47    32.62   30.92   29.06   26.56      2.0429      2.5851
## 48    29.96   28.36   27.23   26.72      1.9782      2.5033
## 49    13.48   13.30   13.69   12.38      0.8902      1.1264
## 50    15.08   14.49   14.46   14.64      1.0445      1.3217
## 51    10.47    9.99   10.10    8.70      0.7505      0.9498
## 52    12.03   11.70   11.90   10.27      0.8351      1.0567
## 53     9.41    9.30    9.11    8.25      0.6436      0.8144
## 54     7.03    6.67    6.75    5.88      0.4694      0.5940
## 55     8.77    8.32    8.25    7.69      0.6743      0.8533
## 56    25.42   23.43   21.66   18.44      2.1684      2.7440
## 57    15.52   15.12   14.67   14.44      1.2641      1.5997
## 58     8.46    7.92    7.79    7.59      0.6545      0.8282
## 59    10.00    9.32    9.06    8.88      0.7518      0.9514
## 60     7.87    7.60    7.35    7.11      0.6692      0.8469
## 61     5.82    5.68    5.56    5.32      0.4419      0.5592
## 62     8.86    8.91    8.46    8.04      0.7595      0.9611
## 63     7.58    7.83    7.59    6.76      0.6302      0.7974
## 64     7.65    7.59    7.15    6.99      0.6705      0.8485
## 65     8.14    7.65    7.41    7.31      0.7019      0.8882
## 66     7.52    7.35    7.21    7.07      0.7115      0.9003
## 67     7.17    7.16    6.68    6.42      0.6763      0.8558
## 68     7.93    7.40    7.26    7.34      0.6141      0.7772
## 69     4.93    4.68    4.74    4.70      0.4041      0.5114
## 70     4.12    3.86    3.66    3.30      0.4476      0.5665
## 71     2.22    2.21    2.01    2.39      0.1582      0.2002
## 72     6.74    6.75    6.17    5.88      0.4867      0.6159
## 73     5.36    5.48    5.35    4.92      0.4368      0.5527
## 74     6.67    6.46    5.88    5.77      0.6775      0.8574
## 75     5.42    5.23    5.20    5.03      0.3778      0.4781
## 76    10.80    9.85    9.97    9.92      0.8050      1.0187
## 77     7.76    7.15    6.94    6.30      0.5700      0.7212
## 78     8.11    7.99    7.70    7.05      0.6026      0.7626
## 79    12.09   11.00   10.25    9.73      0.9292      1.1759
## 80     5.67    5.52    5.80    5.44      0.4156      0.5259
## 81     9.17    8.38    8.02    8.18      0.6705      0.8485
## 82    11.05   11.05   10.91   10.95      0.8344      1.0559
## 83     7.38    6.82    6.85    6.22      0.5283      0.6686
## 84     7.67    7.97    7.88    7.06      0.5956      0.7537
## 85    34.08   30.89   28.99   27.79      2.7255      3.4490
## 86     3.27    3.07    3.05    2.85      0.2690      0.3404
## 87     5.26    4.74    4.57    3.71      0.4131      0.5227
## 88     8.16    7.48    7.45    7.07      0.5014      0.6345
## 89     9.80    9.95    9.43    8.88      0.5168      0.6540
## 90    10.29    9.33    8.87    8.73      0.6186      0.7828
## 91    10.69   10.79   10.33   10.23      0.6526      0.8258
## 92     4.63    4.30    4.37    4.05      0.3388      0.4287
## 93    14.17   12.76   12.58   12.38      0.7941      1.0049
## 94    12.63   11.81   11.32   11.10      0.7096      0.8979
## 95     7.12    6.87    6.79    6.58      0.4111      0.5203
## 96     5.70    5.99    5.82    5.78      0.3650      0.4619
## 97     9.67    8.87    8.84    8.49      0.6340      0.8023
## 98     3.43    3.13    2.78    2.76      0.2331      0.2950
## 99    13.22   13.29   12.95   12.61      0.7864      0.9952
## 100   17.08   16.03   15.75   15.28      1.0234      1.2950
## 101   14.54   13.56   13.19   12.56      0.9292      1.1759
## 102   18.02   17.11   16.81   16.15      1.2180      1.5413
## 103   15.13   14.30   14.24   13.76      1.2411      1.5705
## 104   18.35   17.27   16.75   16.52      1.2846      1.6256
## 105   12.45   11.72   11.47   11.32      0.7935      1.0041
## 106   11.58   10.95   10.98   10.64      0.7384      0.9344
## 107   11.24   11.29   11.00   10.57      0.6282      0.7950
## 108   14.43   13.80   13.58   13.19      0.8946      1.1321
## 109   13.33   12.54   12.44   12.25      0.9433      1.1937
## 110   14.88   14.26   14.53   13.81      0.9395      1.1888
## 111   19.73   20.00   19.49   19.12      1.5261      1.9311
## 112   12.85   12.04   11.40   10.95      0.9606      1.2156
## 113   12.12   11.44   11.42   11.39      0.8280      1.0478
## 114    9.64    9.19    8.89    8.77      0.6282      0.7950
## 115   15.16   13.99   13.12   13.02      0.9798      1.2399
## 116   22.76   22.10   21.06   18.65      1.4486      1.8331
## 117   18.03   17.81   16.97   16.23      0.9676      1.2245
## 118   14.78   13.67   13.11   11.81      0.9446      1.1953
## 119   22.87   22.36   21.54   19.40      1.3589      1.7196
## 120   22.98   21.68   20.73   19.60      1.3327      1.6864
## 121   13.45   13.01   12.20   11.40      0.9004      1.1394
## 122   12.32   12.26   11.83   11.59      0.8332      1.0543
## 123   16.83   16.31   15.95   14.42      0.9465      1.1977
## 124    8.33    8.71    8.41    8.20      0.4111      0.5203
## 125   21.14   20.72   19.18   18.82      1.1329      1.4336
## 126   14.18   15.06   14.32   13.54      1.0964      1.3874
## 127   14.26   14.05   13.25   12.48      1.1719      1.4830
## 128   16.27   16.16   15.16   14.86      1.3199      1.6702
## 129   16.91   16.98   16.35   15.76      1.3487      1.7067
## 130   13.30   13.28   12.90   12.62      1.0810      1.3679
## 131   23.20   22.92   21.55   20.85      1.8053      2.2845
## 132   14.61   14.58   14.06   13.52      1.2046      1.5243
## 133   10.25   10.20   10.09    9.70      0.6916      0.8752
## 134   17.61   17.31   16.48   15.97      1.3115      1.6597
## 135   11.80   11.73   11.30   10.50      0.7973      1.0089
## 136    8.20    8.00    7.66    7.55      0.5539      0.7010
## 137    8.23    8.40    8.11    8.10      0.4886      0.6183
## 138   15.81   15.91   15.61   14.98      0.9837      1.2447
## 139   10.33   10.15    9.94    9.04      0.9337      1.1815
## 140   10.29   10.15    9.89    9.14      0.8818      1.1159
## 141    5.63    5.52    5.10    5.47      0.5002      0.6329
## 142    8.38    7.85    7.77    7.56      0.6487      0.8209
## 143    3.08    2.74    2.98    3.05      0.3362      0.4255
## 144    5.67    5.64    6.07    5.81      0.5168      0.6540
## 145    3.74    3.62    3.92    3.70      0.3958      0.5008
## 146    7.33    6.99    6.81    7.06      0.6635      0.8396
## 147    4.97    5.02    4.80    4.95      0.3855      0.4879
## 148    6.60    6.77    7.41    6.90      0.4617      0.5843
## 149    6.07    6.43    6.01    6.61      0.4694      0.5940
## 150    4.34    4.33    4.64    4.68      0.3093      0.3914
## 151   14.95   14.36   13.84   13.55      1.0125      1.2812
## 152    6.58    6.73    6.87    6.93      0.3074      0.3890
## 153    5.08    4.68    4.81    5.11      0.4649      0.5883
## 154    9.56    9.34    9.29    9.24      0.8069      1.0211
## 155   11.40   12.58   12.98   11.98      0.8332      1.0543
## 156    3.41    3.27    3.14    2.83      0.2440      0.3088
## 157    3.24    3.19    3.31    3.14      0.2184      0.2763
## 158    4.16    3.91    3.78    3.59      0.2542      0.3217
## 159    3.64    3.38    3.45    3.39      0.2440      0.3088
## 160    5.91    5.57    5.59    5.35      0.3599      0.4554
## 161    8.96    8.83    8.57    7.14      0.6385      0.8080
## 162    8.96    8.13    8.04    6.76      0.6820      0.8631
## 163   12.21   11.62   11.41    9.81      0.9170      1.1605
## 164    8.00    7.61    7.36    6.65      0.5949      0.7528
## 165   12.81   11.64   11.27    9.27      0.8927      1.1297
## 166   11.99   11.24   10.84    9.85      0.8184      1.0357
## 167    8.98    8.42    8.20    7.22      0.6622      0.8379
## 168   13.97   13.59   13.27   12.22      0.9401      1.1896
## 169   14.77   13.49   12.97   10.70      1.0323      1.3063
## 170   14.19   12.85   12.60   10.79      0.9933      1.2569
## 171   11.36   10.57   10.53    9.76      0.8287      1.0486
## 172   14.98   13.95   13.67   11.89      1.0618      1.3436
## 173   12.27   11.05   10.77    8.67      0.8671      1.0973
## 174    9.14    8.98    9.06    7.99      0.6769      0.8566
## 175   10.37   10.07   10.25    8.06      0.7819      0.9895
## 176    5.27    4.92    4.73    4.37      0.3913      0.4951
## 177   12.67   11.71   11.49   10.06      0.9401      1.1896
## 178   10.76   10.23   10.00    8.12      0.8229      1.0413
## 179    7.60    7.29    7.11    5.93      0.6065      0.7674
## 180    8.79    8.59    8.48    7.12      0.5917      0.7488
## 181    4.61    4.32    4.17    3.57      0.3170      0.4011
## 182   10.36    9.73    9.66    8.88      0.7685      0.9725
## 183    5.46    5.06    4.79    4.11      0.4035      0.5105
## 184    2.40    2.34    2.34    2.14      0.1819      0.2301
## 185    5.84    5.92    5.76    4.94      0.4739      0.5997
## 186   16.28   15.60   14.80   12.71      1.3263      1.6783
## 187    7.41    7.01    7.06    5.70      0.5424      0.6864
## 188   14.39   14.12   13.94   11.25      1.1598      1.4676
## 189   17.52   17.23   17.05   13.50      1.2936      1.6370
## 190   19.70   18.98   18.80   15.62      1.5741      1.9919
## 191   18.37   17.46   17.21   15.46      1.2276      1.5535
## 192   20.44   19.86   19.60   17.47      1.4537      1.8396
## 193   14.27   13.91   13.81   11.67      1.0637      1.3460
## 194   21.45   20.53   20.32   17.58      1.4825      1.8760
## 195   13.07   12.67   12.42   11.23      0.9055      1.1459
## 196   12.45   12.09   11.96   10.04      0.8786      1.1118
## 197   14.89   14.46   14.15   12.96      1.1188      1.4157
## 198    9.26    9.07    8.75    7.41      0.7006      0.8866
## 199   12.98   13.12   12.90   10.75      1.0035      1.2699
## 200   12.46   12.49   12.28   10.01      0.8953      1.1329
## 201   14.86   14.38   14.02   13.12      1.1201      1.4174
## 202   13.68   13.57   13.27   12.31      1.1438      1.4473
## 203   13.52   13.33   13.04   11.90      1.0419      1.3185
## 204   19.28   18.54   18.35   15.41      1.4985      1.8963
## 205   11.95   11.65   11.38    9.90      0.9273      1.1734
## 206    7.73    7.65    7.59    6.98      0.5770      0.7302
## 207    8.50    8.35    8.12    7.00      0.6519      0.8250
## 208   14.44   14.10   13.41   12.54      1.2014      1.5203
## 209    8.15    7.99    7.78    7.29      0.6724      0.8509
## 210   11.76   11.60   11.46    9.87      0.8620      1.0908
## 211   11.62   11.37   11.10    9.84      0.9267      1.1726
## 212   11.27   11.04   10.80    8.69      0.9395      1.1888
## 213   12.84   12.90   12.61   10.06      1.0432      1.3201
## 214   18.30   17.58   17.37   16.04      1.2782      1.6175
## 215   10.09   10.10    9.90    7.94      0.8396      1.0624
## 216   19.79   19.47   19.14   17.17      1.4736      1.8647
## 217    9.05    8.79    8.75    7.87      0.6731      0.8517
## 218   10.89   10.88   10.65    9.08      0.8940      1.1313
## 219    5.80    5.24    5.07    4.84      0.5302      0.6710
## 220    4.97    4.85    4.62    4.14      0.3279      0.4149
## 221    8.09    7.92    7.47    6.75      0.5994      0.7585
## 222    8.26    8.20    8.11    7.81      0.6801      0.8606
## 223   21.40   20.30   20.03   18.30      1.4825      1.8760
## 224   16.33   14.55   14.07   13.43      1.0304      1.3039
## 225   21.73   19.34   18.65   17.12      1.4121      1.7869
## 226    9.46    8.21    8.13    7.65      0.6852      0.8671
## 227    8.75    7.70    7.64    6.98      0.6244      0.7901
## 228   16.68   15.49   15.42   14.19      1.2488      1.5802
## 229   11.91   11.75   11.39   10.36      0.8466      1.0713
## 230   13.39   13.24   12.96   12.02      1.0246      1.2966
## 231    8.57    8.23    8.04    7.27      0.6814      0.8622
## 232    9.97    9.88    9.80    9.72      0.7768      0.9830
## 233   12.91   12.72   12.25   11.31      0.9939      1.2577
## 234   11.53   11.49   11.04   10.37      0.8031      1.0162
## 235   11.52   11.22   10.87    9.98      0.8953      1.1329
## 236   11.22   10.97   11.00    9.98      0.8498      1.0754
## 237    9.17    8.79    8.64    7.80      0.7204      0.9117
## 238   14.96   15.00   14.54   14.39      1.1457      1.4498
## 239   13.63   13.34   13.05   11.82      1.0394      1.3153
## 240   20.82   20.98   20.52   18.71      1.6151      2.0438
## 241   10.72   10.57   10.34    9.45      0.8440      1.0681
## 242    6.44    6.39    6.23    5.69      0.4771      0.6037
## 243   10.57   10.61   10.19   10.08      0.7832      0.9911
## 244   10.79   10.70   10.48    9.56      0.8863      1.1216
## 245   12.69   12.25   11.98   12.11      0.9548      1.2083
## 246   12.54   12.69   12.28   11.42      0.9894      1.2520
## 247   11.35   11.03   10.48   10.31      0.8287      1.0486
## 248   15.61   15.27   14.91   14.83      1.1694      1.4798
## 249   15.71   14.60   14.34   13.16      1.2027      1.5219
## 250   17.08   17.14   16.87   15.31      1.2930      1.6362
## 251   15.38   14.89   14.42   13.80      1.1975      1.5154
## 252   13.63   13.19   12.80   11.89      1.0515      1.3306
## 253   22.57   21.41   21.32   19.59      1.8008      2.2788
## 254   25.69   24.11   23.56   21.21      2.0794      2.6313
## 255   17.41   16.70   16.00   14.47      1.4390      1.8209
## 256   20.20   20.09   19.62   20.16      1.5760      1.9944
## 257    8.51    8.40    8.49    7.68      0.5962      0.7545
## 258    7.29    7.18    8.03    7.44      0.4886      0.6183
## 259    4.60    4.33    4.17    4.10      0.3778      0.4781
## 260    8.17    7.97    7.84    7.20      1.2187      1.5422
## 261    7.47    7.62    7.53    6.77      0.5764      0.7293
## 262    6.16    5.73    5.73    5.50      0.4745      0.6005
## 263    4.89    5.16    4.94    4.49      0.3913      0.4951
## 264    5.82    5.63    5.39    4.88      0.4528      0.5729
## 265    4.71    4.48    4.31    3.89      0.3253      0.4117
## 266   10.43    9.67    9.74    9.61      0.7134      0.9028
## 267    9.97    8.71    8.64    8.41      0.6647      0.8412
## 268    5.71    5.29    5.39    5.18      0.4598      0.5819
## 269    5.09    4.58    4.63    4.30      0.4060      0.5138
## 270    5.04    4.94    4.95    4.76      0.4406      0.5575
## 271    4.10    3.57    3.52    3.25      0.2856      0.3614
## 272    6.28    5.58    5.57    5.36      0.4496      0.5689
## 273    1.69    1.67    1.76    1.68      0.1069      0.1353
## 274    5.84    5.33    5.38    5.20      0.5194      0.6572
## 275    5.52    5.00    4.92    4.46      0.4457      0.5640
## 276    2.33    2.06    2.06    1.98      0.2068      0.2618
## 277    4.61    4.44    4.46    4.19      0.4278      0.5413
## 278    6.91    6.35    6.29    5.86      0.4854      0.6143
## 279    5.73    5.22    5.23    4.89      0.4105      0.5195
## 280    7.44    6.61    6.55    6.28      0.5091      0.6443
## 281    6.74    5.79    5.74    5.36      0.4707      0.5956
## 282    2.39    2.15    2.27    2.24      0.1415      0.1791
## 283   17.38   16.73   16.46   15.20      1.3826      1.7496
## 284   16.26   15.80   15.31   13.87      1.2757      1.6143
## 285   19.14   18.46   18.28   16.55      1.5254      1.9303
## 286   16.73   16.12   15.31   14.08      1.3922      1.7618
## 287   15.11   14.23   13.43   12.40      1.2738      1.6119
## 288   15.78   15.31   15.10   14.84      1.2430      1.5730
## 289   16.97   16.50   15.96   14.17      1.3967      1.7674
## 290   34.13   33.21   32.06   28.83      2.7614      3.4944
## 291   10.45    9.80    9.55    8.96      0.9247      1.1702
## 292    9.85    9.51    9.27    8.79      0.8203      1.0381
## 293   30.56   29.34   29.28   28.51      2.0307      2.5697
## 294   31.74   31.43   31.03   30.13      2.0755      2.6265
## 295   23.37   23.43   22.91   23.10      1.3307      1.6840
## 296   31.12   29.89   29.44   28.06      1.8379      2.3258
## 297   25.20   24.07   23.52   22.31      1.4550      1.8412
## 298   16.81   15.82   15.95   15.70      0.9913      1.2545
## 299   22.92   22.35   21.67   21.63      1.3551      1.7148
## 300   27.13   26.26   26.48   26.45      1.7124      2.1670
## 301    9.66   10.31   10.75   11.05      0.6154      0.7788
## 302   14.28   14.33   14.20   13.82      0.8569      1.0843
## 303   23.49   23.89   23.95   24.20      1.3858      1.7537
## 304   12.81   12.69   12.77   12.94      0.7717      0.9765
## 305   23.18   22.50   21.91   20.83      1.4665      1.8558
## 306   30.49   29.60   28.81   28.08      2.0999      2.6572
## 307   20.12   19.35   18.86   18.14      1.3058      1.6524
## 308   36.22   36.55   36.01   34.85      2.1786      2.7569
## 309   30.01   30.63   30.13   28.88      1.9129      2.4206
## 310   14.38   13.61   13.48   12.98      0.8133      1.0292
## 311   28.64   27.71   26.80   26.50      1.6606      2.1013
## 312   33.17   32.44   31.07   30.83      2.6340      3.3331
## 313   17.28   16.66   16.52   16.34      1.3775      1.7431
## 314   10.21    9.97    9.81    9.61      0.6763      0.8558
## 315    9.42    8.54    8.59    8.55      0.6455      0.8169
## 316    6.94    7.46    7.51    7.17      0.5002      0.6329
## 317   13.51   12.32   12.23   11.77      0.8998      1.1386
## 318    5.52    5.75    5.94    5.61      0.4105      0.5195
## 319    4.57    4.51    4.52    4.67      0.3215      0.4068
## 320   11.72   10.99   11.02   10.93      0.8754      1.1078
## 321    9.33   10.07   10.20   10.35      0.6250      0.7909
## 322    9.66    9.82    9.45    9.60      0.7294      0.9230
## 323    6.50    6.14    6.46    6.17      0.4335      0.5486
## 324   12.57   12.63   12.54   12.83      0.8812      1.1151
## 325    9.84   10.19    9.89   10.08      0.7480      0.9465
## 326    5.22    5.04    5.26    5.07      0.4572      0.5786
## 327    5.22    5.55    5.31    5.00      0.4239      0.5365
## 328    5.76    5.33    5.42    5.12      0.3919      0.4960
## 329    5.07    4.96    4.52    4.27      0.4464      0.5648
## 330    6.42    6.32    6.24    6.21      0.5354      0.6775
## 331    6.03    5.70    5.32    5.20      0.4553      0.5762
## 332    5.07    4.58    4.44    4.55      0.5482      0.6937
## 333    5.93    5.38    5.21    5.00      0.4598      0.5819
## 334    4.32    3.73    3.36    3.19      0.4246      0.5373
## 335    3.95    3.80    3.52    3.15      0.3721      0.4708
## 336    8.50    8.08    7.46    7.43      0.6391      0.8088
## 337    6.53    6.23    5.78    5.22      0.4841      0.6126
## 338    5.65    5.49    5.19    4.51      0.3958      0.5008
## 339    6.17    5.85    5.83    5.10      0.5162      0.6532
## 340    8.41    7.64    7.17    6.56      0.6724      0.8509
## 341    6.57    6.32    5.88    6.28      0.4515      0.5713
## 342    3.91    3.75    3.62    3.47      0.3401      0.4303
## 343    4.58    4.65    4.60    4.40      0.3279      0.4149
## 344    4.62    4.56    4.38    4.52      0.3490      0.4417
## 345    3.26    3.10    2.96    2.70      0.2139      0.2707
## 346    5.37    5.22    5.13    4.56      0.3663      0.4635
## 347    3.88    3.70    3.77    3.70      0.3567      0.4514
## 348    6.45    6.29    5.80    5.21      0.4905      0.6208
## 349    5.81    6.18    6.09    6.01      0.4041      0.5114
## 350    7.07    6.76    6.65    6.38      0.4969      0.6289
## 351    6.59    6.35    6.09    5.95      0.4182      0.5292
## 352    5.55    5.27    4.99    4.88      0.4150      0.5251
## 353    5.87    5.67    5.68    5.59      0.4957      0.6272
## 354    4.44    4.22    4.19    4.18      0.3228      0.4084
## 355    4.90    4.62    4.68    4.19      0.3830      0.4846
## 356    8.76    8.68    9.28    9.03      0.6071      0.7682
## 357    8.33    8.65    8.72    9.15      0.6340      0.8023
## 358    7.99    7.63    7.57    7.41      0.5559      0.7034
## 359    9.31    9.16    9.29    9.22      0.7288      0.9222
## 360    5.33    5.37    5.41    5.04      0.4227      0.5349
## 361    7.92    7.49    7.63    7.40      0.6699      0.8477
## 362   10.50   10.65   11.29   11.62      0.5578      0.7058
## 363    2.91    2.81    2.82    2.64      0.2606      0.3298
## 364    4.82    4.72    4.77    4.59      0.3336      0.4222
## 365    5.06    5.18    5.16    4.67      0.4271      0.5405
## 366    7.26    7.15    8.06    7.68      0.9792      1.2391
## 367    8.50    8.99    9.93    9.44      0.9331      1.1807
## 368    6.35    6.11    6.63    5.08      0.8895      1.1256
## 369    5.61    5.25    6.22    6.71      0.7973      1.0089
## 370    5.11    5.17    6.32    6.15      0.6551      0.8290
## 371    8.63    8.34    8.02    7.67      0.6212      0.7861
## 372    8.80    8.36    7.90    7.30      0.5757      0.7285
## 373   12.27   12.28   11.80   11.82      0.8460      1.0705
## 374   10.09   10.29    9.77    9.50      0.7281      0.9214
## 375   10.22    9.92    9.78    9.34      0.6878      0.8704
## 376    8.12    7.90    7.46    6.99      0.5367      0.6791
## 377    9.72    9.38    8.89    8.64      0.6551      0.8290
## 378   10.93   10.58   10.33    9.87      0.7550      0.9554
## 379   15.88   14.71   14.08   13.29      1.1297      1.4295
## 380   15.17   14.85   14.16   13.60      1.2046      1.5243
## 381    6.90    6.77    6.20    6.03      0.5002      0.6329
## 382    5.63    5.24    5.46    5.38      0.3938      0.4984
## 383    6.87    6.57    6.62    6.67      0.6097      0.7715
## 384    6.78    6.56    6.47    5.95      0.4733      0.5989
## 385    5.85    6.01    5.90    5.96      0.4848      0.6135
## 386   16.08   16.18   15.92   15.65      1.2469      1.5778
## 387    9.84    9.47    9.20    9.12      0.7723      0.9773
## 388   15.80   15.13   14.55   14.34      1.2981      1.6426
## 389   18.16   17.71   17.16   16.71      1.3717      1.7358
## 390   18.11   18.59   18.17   18.03      1.2437      1.5738
## 391   13.64   13.47   13.30   13.66      1.0349      1.3096
## 392   16.36   16.68   16.65   16.08      1.1956      1.5130
## 393   18.05   17.80   17.55   17.41      1.2878      1.6297
## 394   18.79   18.56   18.15   18.27      1.5408      1.9498
## 395   12.75   12.76   12.66   12.60      0.9664      1.2229
## 396   17.68   16.60   16.17   16.32      1.3179      1.6678
## 397   16.91   16.07   15.73   15.53      1.1431      1.4465
## 398    7.42    7.06    6.74    6.58      0.6391      0.8088
## 399   12.94   13.11   13.28   13.13      0.9593      1.2140
## 400    8.15    8.06    7.97    7.48      0.5776      0.7310
## 401    9.53    9.51    9.66    9.23      0.6558      0.8298
## 402   15.18   15.49   15.40   15.48      1.2225      1.5470
## 403    9.48    9.35    9.24    9.00      0.7147      0.9044
## 404    8.27    8.40    8.42    7.83      0.6077      0.7691
## 405    9.26    9.41    9.24    9.28      0.6839      0.8655
## 406   11.85   11.41   11.14   10.31      0.9363      1.1848
## 407   16.70   16.22   16.22   15.10      1.2334      1.5608
## 408    9.42    9.45    9.71    9.04      0.6839      0.8655
## 409   10.12   10.07   10.28   10.55      0.9017      1.1410
## 410    8.36    8.45    8.29    7.50      0.6667      0.8436
## 411    7.66    7.47    7.38    7.50      0.5738      0.7261
## 412    5.55    5.45    5.32    5.16      0.4476      0.5665
## 413    8.34    8.48    8.46    8.81      0.5770      0.7302
## 414   13.82   13.41   13.16   12.49      1.0784      1.3647
## 415   13.89   14.35   14.01   13.36      0.9881      1.2504
## 416   12.46   12.36   12.62   12.75      0.9356      1.1840
## 417   13.87   14.36   14.33   13.69      1.0400      1.3161
## 418    7.18    7.52    7.66    7.23      0.5879      0.7439
## 419   15.19   14.57   14.41   13.37      1.2219      1.5462
## 420    4.38    4.56    4.59    4.41      0.3753      0.4749
## 421    6.08    5.73    5.70    5.59      0.4182      0.5292
## 422    8.58    8.74    8.78    7.94      0.7224      0.9141
## 423   13.75   13.22   13.46   13.67      1.1495      1.4546
## 424   15.45   15.22   14.85   13.19      1.1111      1.4060
## 425   16.09   16.09   15.65   13.48      1.1175      1.4141
## 426   14.68   15.05   13.78   12.51      1.2104      1.5316
## 427   11.58   11.36   11.14   10.95      0.9049      1.1451
## 428   12.55   13.06   12.36   11.05      1.0054      1.2723
## 429   16.88   16.46   16.19   14.85      1.1841      1.4984
## 430   16.53   17.11   16.24   14.30      1.2834      1.6240
## 431   15.86   15.78   15.58   14.93      1.2027      1.5219
## 432    9.97    9.75   13.93   14.22      0.8767      1.1094
## 433   15.57   15.71   15.64   13.82      1.2206      1.5446
## 434   16.73   17.72   18.10   17.48      1.3282      1.6807
## 435   15.39   15.77   16.24   14.17      1.0022      1.2682
## 436   20.69   13.69   18.35   14.88      1.4819      1.8752
## 437   18.56   13.74   15.99   14.82      1.3039      1.6499
## 438    5.59    5.51    5.01    4.69      0.5136      0.6499
## 439    9.24    8.81    8.39    7.57      0.7723      0.9773
## 440   21.67   21.11   21.85   20.33      1.2693      1.6062
## 441   21.80   21.03   20.55   19.84      1.2084      1.5292
## 442   22.43   21.17   21.27   19.40      1.1995      1.5178
## 443   18.49   17.97   17.81   17.40      1.1297      1.4295
## 444   18.93   18.51   19.23   18.54      1.2539      1.5867
## 445    6.05    6.05    5.70    5.57      0.3516      0.4449
## 446   15.57   14.89   13.94   13.79      1.1790      1.4919
## 447   18.22   17.06   16.05   15.97      1.3602      1.7213
## 448   14.71   13.90   13.51   13.38      1.0400      1.3161
## 449    6.70    6.48    6.88    7.18      0.5226      0.6613
## 450    4.99    4.82    4.84    4.53      0.3970      0.5024
## 451    6.86    6.83    6.95    7.14      0.5392      0.6823
## 452   29.17   28.31   27.47   28.08      2.1729      2.7496
## 453   25.23   24.81   23.87   23.27      1.9660      2.4879
## 454   22.10   21.68   21.20   20.11      1.8194      2.3023
## 455   18.47   18.02   17.40   17.03      1.5895      2.0114
## 456   28.64   28.71   27.13   27.12      2.2388      2.8331
## 457   26.35   26.50   25.49   25.62      1.9263      2.4376
## 458   25.37   24.53   23.59   23.62      2.0134      2.5478
## 459   31.58   31.01   30.18   30.20      2.5116      3.1783
## 460   17.58   16.86   16.83   16.31      1.3973      1.7683
## 461    4.38    4.64    4.46    4.72      0.4912      0.6216
## 462   24.90   24.74   24.00   23.42      2.0499      2.5940
## 463    9.69    8.77    8.74    8.74      0.8517      1.0778
## 464   15.23   14.03   14.15   13.94      1.5728      1.9903
## 465    8.85    8.63    8.59    8.89      0.5751      0.7277
## 466    4.61    4.11    4.10    4.80      0.6090      0.7707
## 467    4.99    4.19    4.22    4.51      0.5008      0.6337
## 468   15.33   15.48   15.25   15.02      1.2360      1.5640
## 469    8.39    7.08    7.07    7.16      0.6782      0.8582
## 470    7.04    7.29    7.17    7.35      0.5866      0.7423
## 471    2.99    2.67    2.73    3.00      0.2901      0.3671
## 472    5.38    5.07    5.45    5.95      0.4534      0.5738
## 473   27.51   26.66   25.96   24.31      2.1293      2.6945
## 474   17.79   17.44   17.22   16.65      1.3378      1.6929
## 475   37.44   36.37   36.37   33.32      2.8338      3.5859
## 476   36.66   34.72   34.32   31.30      3.0438      3.8518
## 477   25.28   24.93   24.32   22.21      2.1774      2.7553
## 478   20.38   19.92   19.66   19.14      1.4742      1.8655
## 479   33.35   33.25   32.86   30.19      2.1409      2.7091
## 480   20.94   20.50   20.00   17.80      1.5101      1.9109
## 481   38.11   36.67   35.99   34.59      2.8632      3.6232
## 482   35.31   34.65   34.87   32.89      2.5699      3.2521
## 483   34.33   34.15   34.02   30.87      2.2113      2.7983
## 484   38.53   39.46   39.23   35.72      2.6999      3.4166
## 485   17.56   17.85   17.78   15.85      0.8991      1.1378
## 486   11.10   11.08   10.81   10.54      0.9311      1.1783
## 487   39.48   39.66   38.62   38.66      2.6794      3.3906
## 488   14.69   13.49   13.01   13.44      1.1937      1.5106
## 489   24.37   26.03   25.38   25.17      2.1569      2.7294
## 490   27.70   27.54   26.82   27.17      2.1479      2.7180
## 491   27.23   26.99   25.44   25.72      2.1524      2.7237
## 492   37.43   39.13   37.40   37.35      2.7838      3.5227
## 493   37.45   37.31   36.01   36.27      2.8049      3.5495
## 494   16.20   14.72   14.89   14.55      1.4454      1.8290
## 495   19.50   20.82   19.90   20.35      1.6516      2.0900
## 496   26.96   26.64   25.75   25.64      2.1204      2.6832
## 497   28.48   27.79   27.16   27.41      2.2670      2.8688
## 498   41.26   40.62   39.33   39.25      2.9593      3.7448
## 499   31.55   31.52   30.60   30.75      2.5667      3.2480
## 500   34.00   33.63   32.73   33.14      2.6365      3.3363
## 501   13.85   13.74   13.75   14.51      1.3506      1.7091
## 502   15.83   17.15   16.69   16.90      1.5446      1.9546
## 503   31.41   31.25   30.82   30.53      2.5539      3.2318
## 504   39.25   37.99   37.40   39.22      2.9298      3.7075
## 505   29.71   29.52   29.88   30.10      2.5603      3.2399
## 506   35.89   38.47   37.29   38.13      2.7236      3.4466
## 507   41.97   41.68   39.60   40.06      2.9811      3.7723
## 508   35.54   38.36   36.38   37.02      2.7633      3.4968
## 509   35.88   35.80   34.97   35.45      2.8261      3.5762
## 510   38.74   38.58   37.46   38.15      2.8594      3.6184
## 511   29.10   31.21   30.36   30.48      2.1748      2.7521
## 512   41.34   43.73   42.23   42.71      3.0624      3.8753
## 513   45.74   45.11   43.63   43.49      3.1751      4.0179
## 514   12.22   12.06   11.46   11.37      1.1085      1.4028

Descriptive statistics

skim(dat)

Data summary

Name

dat

Number of rows

514

Number of columns

13

_______________________

Column type frequency:

character

1

numeric

12

________________________

Group variables

None

Variable type: character

skim_variable

n_missing

complete_rate

min

max

empty

n_unique

whitespace

District

0

1

4

26

0

514

0

Variable type: numeric

skim_variable

n_missing

complete_rate

mean

sd

p0

p25

p50

p75

p100

hist

Code

0

1

4558.30

2678.26

911.00

1803.25

3550.00

7173.75

9471.00

▇▆▂▇▃

pov2010

0

1

15.62

9.42

1.67

9.01

13.34

19.56

49.58

▇▇▂▁▁

pov2011

0

1

14.64

8.92

1.50

8.14

12.44

18.91

47.44

▇▇▂▁▁

pov2012

0

1

13.92

8.55

1.33

7.79

11.77

17.78

45.92

▇▇▂▁▁

pov2013

0

1

13.83

8.59

1.75

7.76

11.74

17.41

47.52

▇▆▂▁▁

pov2014

0

1

13.12

7.93

1.68

7.38

11.18

16.60

44.49

▇▆▂▁▁

pov2015

0

1

13.51

8.25

1.69

7.59

11.58

16.87

45.74

▇▇▂▁▁

pov2016

0

1

13.18

8.20

1.67

7.40

11.25

16.29

45.11

▇▇▂▁▁

pov2017

0

1

12.97

7.98

1.76

7.35

11.14

16.04

43.63

▇▇▂▁▁

pov2018

0

1

12.34

7.84

1.68

6.99

10.21

15.08

43.49

▇▆▂▁▁

rel_pov2010

0

1

1.00

0.60

0.11

0.58

0.85

1.25

3.18

▇▇▂▁▁

rel_pov2018

0

1

1.27

0.76

0.14

0.73

1.08

1.59

4.02

▇▇▂▁▁

xy <- dat %>% 
select(
pov2010,
pov2018,
  ) %>% 
  mutate(
    x = pov2010,
    y = pov2018
  ) %>% 
  select(
    x,
    y
  )

Univariate dynamics

Select bandwiths

Select bandwidth based on function dpik from the package KernSmooth

h_rel_pov2010<- dpik(dat$rel_pov2010)
h_rel_pov2010
## [1] 0.1026
h_rel_pov2018 <- dpik(dat$rel_pov2018)
h_rel_pov2018
## [1] 0.1299

Plot each density

dis_rel_pov2010 <- bkde(dat$rel_pov2010, bandwidth = h_rel_pov2010)
dis_rel_pov2010 <- as.data.frame(dis_rel_pov2010)
ggplot(dis_rel_pov2010, aes(x, y)) + geom_line() + 
  theme_minimal() 

dis_rel_pov2018 <- bkde(dat$rel_pov2018, bandwidth = h_rel_pov2018)
dis_rel_pov2018 <- as.data.frame(dis_rel_pov2018)
ggplot(dis_rel_pov2018, aes(x, y)) + geom_line() + 
  theme_minimal() 

Plot both densities

There are two methods for plot both densities,i.e. Kernsmooth and bandwith default of ggplot. I prefer using the gglot ( Method 2).

Method 2 (ggplot)

Using the bandwidth default of ggplot Manual labels are not yet implemented in the ggplotly function

rel_pov2010 <- dat %>% 
  select(rel_pov2010) %>% 
  rename(rel_var = rel_pov2010) %>% 
  mutate(year = 2010)
rel_pov2018 <- dat %>% 
  select(rel_pov2018) %>% 
  rename(rel_var = rel_pov2018) %>% 
  mutate(year = 2018)
rel_pov2010pov2018 <- bind_rows(rel_pov2010, rel_pov2018)
rel_pov2010pov2018 <- rel_pov2010pov2018 %>% 
  mutate(year = as.factor(year))
head(rel_pov2010pov2018)
##   rel_var year
## 1   1.512 2010
## 2   1.241 2010
## 3   1.020 2010
## 4   1.075 2010
## 5   1.180 2010
## 6   1.287 2010
dis_rel_pov2010pov2018 <- ggplot(rel_pov2010pov2018,aes(x=rel_var, color=year)) +
  geom_density() + 
  theme_minimal() 
dis_rel_pov2010pov2018

Using plotly

ggplotly(dis_rel_pov2010pov2018)
## PhantomJS not found. You can install it with webshot::install_phantomjs(). If it is installed, please make sure the phantomjs executable can be found via the PATH variable.
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Bivariate density

Using Mobility scatterplot

dat %>% 
  ggplot(aes(x = rel_pov2010, y = rel_pov2018)) +
  geom_point(alpha=0.5) +
  geom_abline(aes(intercept = 0, slope = 1)) +
  geom_hline(yintercept = 1, linetype="dashed") + 
  geom_vline(xintercept = 1, linetype="dashed") +
  theme_minimal() +
  labs(subtitle = "Relative Pov2018",
       x = "Relative Pov2010",
       y = "") +
  theme(text=element_text(family="Palatino")) 

Fit a non-linear function

dat %>% 
  ggplot(aes(x = rel_pov2010, y = rel_pov2018)) +
  geom_point(alpha=0.5) + 
  geom_smooth() + 
  geom_abline(aes(intercept = 0, slope = 1)) +
  geom_hline(yintercept = 1, linetype="dashed") + 
  geom_vline(xintercept = 1, linetype="dashed") +
  theme_minimal() +
  labs(subtitle = "Relative pov2018",
       x = "Relative pov2010",
       y = "") +
  theme(text=element_text(family="Palatino")) 
## `geom_smooth()` using method = 'loess' and formula 'y ~ x'

Not that the nonlinear fit crosses the 45-degree line two times from above.

Using the Bivariate package

bivariate <- kbvpdf(dat$rel_pov2010, dat$rel_pov2018, h_rel_pov2010, h_rel_pov2018) 
plot(bivariate,
      xlab="Relative Poverty 2010", 
      ylab="Relative Poverty 2018")
abline(a=0, b=1)
abline(h=1, v=1)

plot(bivariate,
      TRUE,
      xlab="Relative Poverty 2010", 
      ylab="Relative Poverty 2018")

Using ggplot (stat_density_2d)

dat %>% 
  ggplot(aes(x = rel_pov2010, y = rel_pov2018)) +
  geom_point(color = "lightgray") + 
  geom_smooth() + 
  #geom_smooth(method=lm, se=FALSE) + 
  stat_density_2d() +
  geom_abline(aes(intercept = 0, slope = 1)) +
  geom_hline(yintercept = 1, linetype="dashed") + 
  geom_vline(xintercept = 1, linetype="dashed") +
  theme_minimal() +
  labs(subtitle = "Relative pov2018",
       x = "Relative pov2010",
       y = "") +
  theme(text=element_text(family="Palatino")) 
## `geom_smooth()` using method = 'loess' and formula 'y ~ x'

dat %>% 
  ggplot(aes(x = rel_pov2010, y = rel_pov2018)) +
        stat_density_2d(aes(fill = stat(nlevel)), geom = "polygon") + 
  scale_fill_viridis_c() +
        geom_abline(aes(intercept = 0, slope = 1)) +
        geom_hline(yintercept = 1, linetype="dashed") + 
        geom_vline(xintercept = 1, linetype="dashed") + 
  theme_minimal() +
        labs(x = "Relative Poverty Rate 2010",
             y = "Relative Poverty Rate 2018") +
        theme(text=element_text(size=8, family="Palatino"))

Using Stochastic Kernel Package

There are two ways of analyzing the use of stochastic kernel package: 1. Contour Plots and 2. Surface Plots

Contour Plots

pov2010pov2018 <- cbind(dat$rel_pov2010, dat$rel_pov2018)
pov2010pov2018_dis <- bkde2D(pov2010pov2018, bandwidth = c(h_rel_pov2010, h_rel_pov2018)) 
contour(pov2010pov2018_dis$x1,pov2010pov2018_dis$x2,pov2010pov2018_dis$fhat)
abline(a=0, b=1)

Surface Plots

plot_ly(x=pov2010pov2018_dis$x1, y=pov2010pov2018_dis$x2, z=pov2010pov2018_dis$fhat) %>% add_surface()
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plot_ly(x=pov2010pov2018_dis$x1, y=pov2010pov2018_dis$x2, z=pov2010pov2018_dis$fhat, type = "contour", contours = list(showlabels = TRUE))  %>%
  colorbar(title = "Density")
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Conditional density analysis

Using the hdrcde package

pov2010pov2018_cde <- cde(dat$pov2010, dat$pov2018)

Increase the number of intervals to 20

pov2010pov2018_cde2 <- cde(dat$pov2010, dat$pov2018, nxmargin = 20)
plot(pov2010pov2018_cde)

plot(pov2010pov2018_cde2)

High density regions

plot(pov2010pov2018_cde, plot.fn="hdr")
abline(a=0, b=1)
abline(h=1, v=1)

References

END