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Submitted:
28 August 2023
Posted:
30 August 2023
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Training Data: Regression Diagnostics | Model-1 | Model-2 | Model-3 | Model-4 |
---|---|---|---|---|
R-Squared | 0.775 | 0.853 | 0.859 | 0.849 |
p-value | 0 | 0 | 0 | 0 |
Standard Error | 0.053 | 0.06 | 0.043 | 0.051 |
Provinces | Number of people with | Number of people with |
---|---|---|
cholangiocarcinoma in 2019 | cholangiocarcinoma in 2020 | |
Nongkhai | 22 | 37 |
Buengkarn | 8 | 7 |
Loei | 54 | 84 |
Nakhon Phanom | 7 | 10 |
Udon Thani | 50 | 88 |
Nongbualumphu | 19 | 12 |
Sakon Nakhon | 161 | 130 |
Y(% of OV) | X1(lu) | X2(soil) | X3(road) | X4(water) | X5(stream) | X6(Temp) | X7(ndmi) | X8(ndvi) | X9(savi) | |
---|---|---|---|---|---|---|---|---|---|---|
Y(% of OV) | 1.000 | - | - | - | - | - | - | - | - | - |
X1 | -0.167 | 1.000 | - | - | - | - | - | - | - | |
X2 | -0.437 | 0.826 | 1.000 | - | - | - | - | - | - | - |
X3 | -0.189 | 0.992 | 0.813 | 1.000 | - | - | - | - | - | - |
X4 | -0.402 | 0.599 | 0.739 | 0.635 | 1.000 | - | - | - | - | - |
X5 | -0.226 | 0.985 | 0.838 | 0.984 | 0.612 | 1.000 | - | - | - | - |
X6 | 0.173 | 0.116 | 0.184 | 0.106 | 0.109 | 0.067 | 1.000 | - | - | - |
X7 | 0.395 | 0.060 | -0.143 | -0.061 | -0.258 | -0.193 | 0.243 | 1.000 | - | - |
X8 | 0.082 | 0.092 | 0.227 | 0.095 | 0.134 | 0.062 | 0.969 | 0.171 | 1.000 | - |
X9 | 0.079 | 0.097 | 0.242 | 0.103 | 0.144 | 0.074 | 0.950 | 0.150 | 0.997 | 1.000 |
Alternative OLS models for OV-predicted in watershed level |
Independent variables |
Coefficients | t-Stat | p-Valuea |
R2 |
|
---|---|---|---|---|---|---|
Y(%OV1) | Intercept | 0.465 | 4.373*** | 0.000*** | 0.524 | |
X8(ndvi) | -1.534 | -0.878 n/s | 0.226 n/s | |||
X9(savi) | -6.032 | -2.212 n/s | 0.125 n/s | |||
Y(%OV2) | Intercept | 4.528 | 1.975*** | 0.000*** | 0.672 | |
X7(ndmi) | 1.125 | 0.769 *** | 0.044 *** | |||
X8(ndvi) | -3.116 | -0.890 *** | 0.023 *** | |||
X9(savi) | -9.852 | -2.326 n/s | 3.024 n/s | |||
Y(%OV3) | Intercept | 62.042 | 3.031*** | 0.000*** | 0.713 | |
X5(stream) | -5.047 | -2.068*** | 0.048*** | |||
X7(ndmi) | 4.246 | 1.875 *** | 0.034 *** | |||
X8(ndvi) | -9.874 | -2.661*** | 0.021*** | |||
Y(%OV4) | Intercept | 57.410 | 0.979*** | 0.000*** | 0.681 | |
X5(stream) | -0.0350 | -3.462*** | 0.031*** | |||
X6(temp) | 20.210 | 0.734 n/s | 1.263 n/s | |||
X7(ndmi) | 7.220 | 0.540 *** | 0.044 *** | |||
X8(ndvi) | -1524.360 | -0.548 *** | 0.026 *** | |||
X9(savi) | -2732.160 | -2.356 n/s | 0.895 n/s |
Model Out of Bag Errors | Model-1 | Model-2 | Model-3 | Model-4 | ||||
---|---|---|---|---|---|---|---|---|
Number of Trees | 50 | 100 | 50 | 100 | 50 | 100 | 50 | 100 |
MSE | 10.203 | 8.98 | 7.298 | 7.074 | 9.075 | 8.93 | 10.203 | 8.98 |
% of variation explained | -46.689 | -29.111 | -5.511 | -2.267 | -33.117 | -31.003 | -46.689 | -29.111 |
Top Variable Importance | Model-1 | Model-2 | Model-3 | Model-4 | |||||
---|---|---|---|---|---|---|---|---|---|
Variables | Importance | % | Importance | % | Importance | % | Importance | % | |
distance to stream lines | 105.09 | 100 | 52.72 | 47 | 34.91 | 37 | 23.18 | 22 | |
distance to water | 58.75 | 53 | 32.32 | 34 | 39.7 | 37 | |||
ndmi | 27.89 | 29 | 20.32 | 19 | |||||
ndvi | 22.79 | 22 |
Explanatory Variable Range Diagnostics | Training | Validation | Share | |||
---|---|---|---|---|---|---|
Minimum | Maximum | Minimum | Maximum | Traininga | Validationb | |
Model-1 distance to stream lines |
0.48 |
1055.51 |
133.04 |
610.29 |
1 |
0.45* |
Model-2 distance to stream lines |
0.48 | 1055.51 | 594.64 | 610.29 | 1 | 0.01* |
distance to water resource | 108.65 | 6054.45 | 970.21 | 1604.04 | 1 | 0.11* |
Model-3 distance to stream lines |
0.48 | 1055.51 | 195.81 | 527.24 | 1 | 0.31* |
distance to water resource | 108.65 | 6054.45 | 1319.44 | 1756.75 | 1 | 0.07* |
ndmi | -0.13 | 0.14 | 0.04 | 0.1 | 1 | 0.20* |
Model-4 distance to stream lines |
0.48 | 928.08 | 610.29 | 1055.51 | 0.88* | 0.34* |
distance to water resource | 108.65 | 6054.45 | 1243.77 | 1604.04 | 1 | 0.06* |
ndmi | -0.13 | 0.1 | 0.07 | 0.14 | 0.85* | 0.10* |
ndvi | 0.05 | 0.16 | 0.17 | 0.18 | 0.82* | 0.00* |
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