This supplementary information page includes OLS and Bayesian regression results and model performance metrics for 50 country-level models (25 FR and 25 TO) followed by 10 region-level models (5 FR and 5 TO). All tables are numbered as FR/TO pairs identified alphanumerically by a/b, respectively. For each enumerated table, the main table (on top) lists fixed parameters and their covariate zonal statistics in the first two columnns. The next four columns are fitting results for the optimal OLS regression model, and the last two columns are the Bayesian posterior mean and 95% credible interval. Beneath the main table are performance metrics for the OLS regression in the first two columns and the Bayesian hyperparameter and performance metrics in the last three columns (see Supplemental Information 1 for details on metrics).

Country Level OLS and Bayesian Models

All tables of country-level model outputs are in alphabetical order by country.

S1a. OLS and Bayesian Regressions for the Angola FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0326  0.0192    1.70 0.091  0.0315  [-0.0494, 0.113]
Mean GDP Per Capita mean* −0.251   0.0565   −4.44 <0.001 −0.258   [-0.405, -0.111]
Total Runoff sum* −0.200   0.0421   −4.75 <0.001 −0.223   [-0.285, -0.161]
Urban Extent sum* −0.260   0.0591   −4.40 <0.001 −0.271   [-0.435, -0.108]
Accessibility max* −0.650   0.171    −3.81 <0.001 −0.707   [-1.16, -0.255]
Infact Mortality Rate max  0.181   0.0241    7.49 <0.001  0.184   [0.118, 0.249]
No Primary Education, Female max −0.0131  0.00347  −3.79 <0.001 −0.0126  [-0.0218, -0.0035]
Precipitation max  0.0119  0.00550   2.17 0.031  0.0147  [0.00739, 0.0219]
Secondary Education, Female max −0.0179  0.00340  −5.28 <0.001 −0.0188  [-0.0285, -0.00925]
Precipitation x Secondary Education, Female max, max  0.00150 0.000601  2.49 0.013  0.00170 [0.000895, 0.00251]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.261 Precision (Gaussian)     8.95  [8.61, 9.31]
Adj.R.sqr  0.242 Precision (Spatial)    47.4   [25.8, 72.7]
Pred.R.sqr  0.218 Precision (Temporal) 1,480     [209, 4490]
Adj.R2.to.R2  0.927 phi     0.288 [0.0748, 0.683]
Pred.R2.to.R2  0.835 rho (Spatial)    −0.746 [-0.91, -0.362]
PRESS 47.4   rho (Temporal)     0.663 [-0.219, 0.975]
DIC   249    
DIC, Saturated   265    
Marginal Likelihood    52.1  
S1b. OLS and Bayesian Regressions for the Angola TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0899   0.0237   3.79    <0.001  0.105   [-0.181, 0.393]
Underweight Children mean −0.0392   0.00674 −5.82    <0.001 −0.0321  [-0.0507, -0.0133]
Skin Reservoir Content sum* −0.0675   0.0326  −2.07    0.039 −0.0681  [-0.124, -0.0126]
Surface Pressure max −0.0390   0.00597 −6.54    <0.001 −0.0327  [-0.0487, -0.0167]
No Primary Education, Female max  0.00766  0.00382  2.00    0.046  0.00543 [-0.00318, 0.014]
No Primary Education, Male max  0.0112   0.00330  3.40    <0.001  0.00834 [-0.000147, 0.0167]
Wind V (Northward) mean  0.000100 0.0631   0.00159 0.999 −0.0640  [-0.15, 0.0223]
Accessibility mean* −0.0147   0.0941  −0.156   0.876 −0.0871  [-0.308, 0.133]
Wind V (Northward) x Accessibility mean, mean* −0.378    0.173   −2.19    0.029 −0.175   [-0.409, 0.0591]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.174 Precision (Gaussian)   8.78  [8.11, 9.47]
Adj.R.sqr  0.153 Precision (Spatial)  65.1   [16.6, 175]
Pred.R.sqr  0.128 Precision (Temporal)  69.1   [14, 198]
Adj.R2.to.R2  0.884 phi   0.283 [0.0153, 0.847]
Pred.R2.to.R2  0.739 rho (Spatial)   0.487 [-0.823, 0.985]
PRESS 48.1   rho (Temporal)   0.855 [0.438, 0.989]
DIC 251    
DIC, Saturated 329    
Marginal Likelihood  38.7  
S2a. OLS and Bayesian Regressions for the Benin FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.117   0.0137   8.54 <0.001  0.117   [0.0759, 0.157]
Infact Mortality Rate mean −0.0803  0.0175  −4.60 <0.001 −0.0806  [-0.111, -0.0506]
Secondary Education, Female mean  0.111   0.0253   4.38 <0.001  0.111   [0.0628, 0.159]
Mean GDP Per Capita mean* −0.235   0.0740  −3.18 0.002 −0.235   [-0.366, -0.104]
Precipitation mean  0.0146  0.00458  3.19 0.002  0.0145  [0.00806, 0.021]
Accessibility max*  0.413   0.0608   6.79 <0.001  0.414   [0.313, 0.515]
Underweight Children mean −0.00805 0.00579 −1.39 0.165 −0.00813 [-0.0212, 0.00488]
Precipitation x Accessibility mean, max*  0.0411  0.0182   2.26 0.025  0.0406  [0.0165, 0.0646]
Precipitation x Underweight Children mean, mean −0.00403 0.00167 −2.41 0.017 −0.00403 [-0.0063, -0.00176]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.232 Precision (Gaussian)    22.6   [20.7, 24.7]
Adj.R.sqr  0.207 Precision (Spatial) 1,550     [94.7, 8170]
Pred.R.sqr  0.181 Precision (Temporal) 6,730     [319, 37300]
Adj.R2.to.R2  0.890 phi     0.237 [0.00578, 0.83]
Pred.R2.to.R2  0.778 rho (Spatial)     0.532 [-0.824, 0.996]
PRESS 11.5   rho (Temporal)     0.667 [-0.467, 0.998]
DIC   −58.0  
DIC, Saturated     3.30 
Marginal Likelihood   127    
S2b. OLS and Bayesian Regressions for the Benin TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.112  0.0151   7.42 <0.001  0.112  [0.0553, 0.168]
Infact Mortality Rate mean −0.0260 0.0123  −2.11 0.036 −0.0267 [-0.0603, 0.00678]
Underweight Children mean −0.0154 0.00624 −2.47 0.014 −0.0160 [-0.0357, 0.00374]
Urban Extent sum* −0.0790 0.0397  −1.99 0.048 −0.0853 [-0.197, 0.0257]
Precipitation mean  0.0106 0.00494  2.16 0.032  0.0106 [0.00386, 0.0174]
Accessibility max*  0.210  0.0362   5.81 <0.001  0.213  [0.127, 0.299]
Precipitation x Accessibility mean, max*  0.0392 0.0120   3.26 0.001  0.0411 [0.0246, 0.0575]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.190 Precision (Gaussian)     19.2   [17.5, 20.9]
Adj.R.sqr  0.170 Precision (Spatial)    173     [36.1, 463]
Pred.R.sqr  0.132 Precision (Temporal) 17,600     [2230, 62300]
Adj.R2.to.R2  0.896 phi      0.289 [0.0249, 0.848]
Pred.R2.to.R2  0.693 rho (Spatial)      0.651 [-0.573, 0.987]
PRESS 15.0   rho (Temporal)      0.492 [-0.885, 0.978]
DIC    −13.3  
DIC, Saturated     42.3  
Marginal Likelihood    101    
S3a. OLS and Bayesian Regressions for the Botswana FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept) −0.0122 0.0382 −0.319 0.750  0.00267 [-0.122, 0.126]
Wind V (Northward) mean  0.178  0.0423  4.20  <0.001  0.119   [0.0485, 0.189]
Surface Pressure max −0.108  0.0422 −2.55  0.011 −0.0821  [-0.16, -0.00431]
Wind U (Eastward) max −0.101  0.0391 −2.59  0.010 −0.0710  [-0.132, -0.01]
Underweight Children mean −0.0258 0.0109 −2.37  0.018 −0.0247  [-0.0499, 0.000402]
Mean GDP Per Capita mean*  0.200  0.0685  2.92  0.004  0.168   [-0.0129, 0.348]
Accessibility max*  0.220  0.0732  3.01  0.003  0.181   [0.0426, 0.318]
Underweight Children x Mean GDP Per Capita mean, mean*  0.0750 0.0258  2.90  0.004  0.0597  [-0.00655, 0.125]
Underweight Children x Accessibility mean, max*  0.0613 0.0141  4.35  <0.001  0.0542  [0.0226, 0.0858]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.133  Precision (Gaussian)     6.83  [6.23, 7.47]
Adj.R.sqr  0.105  Precision (Spatial)   125     [16.1, 494]
Pred.R.sqr  0.0680 Precision (Temporal) 1,700     [68.7, 9600]
Adj.R2.to.R2  0.794  phi     0.151 [0.00212, 0.701]
Pred.R2.to.R2  0.510  rho (Spatial)     0.305 [-0.625, 0.908]
PRESS 42.7    rho (Temporal)     0.628 [-0.643, 0.995]
DIC   259    
DIC, Saturated   322    
Marginal Likelihood    19.2  
S3b. OLS and Bayesian Regressions for the Botswana TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0850 0.0229   3.72 <0.001  0.0861 [-0.0272, 0.199]
Underweight Children mean −0.0141 0.00409 −3.44 <0.001 −0.0124 [-0.0278, 0.00287]
LAI High Vegetation max  0.0453 0.0111   4.09 <0.001  0.0312 [-0.0154, 0.0765]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.0690 Precision (Gaussian)      8.59  [7.81, 9.33]
Adj.R.sqr  0.0620 Precision (Spatial)     28.3   [10.1, 64.4]
Pred.R.sqr  0.0500 Precision (Temporal) 30,900     [1020, 174000]
Adj.R2.to.R2  0.909  phi      0.242 [0.00562, 0.887]
Pred.R2.to.R2  0.734  rho (Spatial)      0.336 [-0.889, 0.991]
PRESS 47.5    rho (Temporal)      0.596 [-0.71, 0.994]
DIC    237    
DIC, Saturated    288    
Marginal Likelihood     44.8  
S4a. OLS and Bayesian Regressions for the Burkina Faso FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0639 0.0240   2.66 0.008  0.0612 [-0.0594, 0.178]
LAI High Vegetation max −0.0609 0.0212  −2.87 0.004 −0.0586 [-0.13, 0.013]
No Primary Education, Female max  0.0182 0.00862  2.12 0.035  0.0173 [-0.0133, 0.0478]
Infact Mortality Rate mean −0.347  0.0947  −3.66 <0.001 −0.326  [-0.65, -0.000637]
Accessibility max*  0.775  0.235    3.31 0.001  0.770  [-0.032, 1.57]
Infact Mortality Rate x Accessibility mean, max*  4.35   0.714    6.09 <0.001  4.36   [1.94, 6.77]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.160 Precision (Gaussian)     9.42   [8.51, 10.3]
Adj.R.sqr  0.145 Precision (Spatial)    45.0    [11.9, 122]
Pred.R.sqr  0.124 Precision (Temporal) 1,210      [69.9, 6680]
Adj.R2.to.R2  0.907 phi     0.213  [0.0144, 0.728]
Pred.R2.to.R2  0.775 rho (Spatial)     0.0976 [-0.963, 0.956]
PRESS 37.1   rho (Temporal)     0.776  [0.305, 0.958]
DIC   199     
DIC, Saturated   195     
Marginal Likelihood    15.1   
S4b. OLS and Bayesian Regressions for the Burkina Faso TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0877  0.0253   3.46   <0.001  0.0790  [-0.0932, 0.244]
2m Dewpoint Temperature max  0.0164  0.00529  3.10   0.002  0.0145  [0.00695, 0.022]
Accessibility mean* −0.0181  0.238   −0.0760 0.940 −0.0317  [-0.595, 0.532]
Precipitation sum* −0.114   0.0448  −2.54   0.012 −0.0880  [-0.149, -0.0266]
No Primary Education, Female mean −0.0326  0.0174  −1.88   0.062 −0.0301  [-0.0705, 0.0103]
Urban Extent sum*  0.00135 0.0631   0.0214 0.983  0.00979 [-0.148, 0.168]
Accessibility x Precipitation mean, sum  0.632   0.124    5.08   <0.001  0.544   [0.38, 0.709]
No Primary Education, Female x Urban Extent mean, sum* −0.124   0.0262  −4.72   <0.001 −0.126   [-0.187, -0.065]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.250 Precision (Gaussian)   9.76  [8.88, 10.6]
Adj.R.sqr  0.229 Precision (Spatial)  97.8   [22.2, 246]
Pred.R.sqr  0.202 Precision (Temporal) 105     [24.9, 288]
Adj.R2.to.R2  0.918 phi   0.269 [0.0196, 0.792]
Pred.R2.to.R2  0.809 rho (Spatial)   0.480 [-0.782, 0.975]
PRESS 35.0   rho (Temporal)   0.825 [0.496, 0.971]
DIC 173    
DIC, Saturated 205    
Marginal Likelihood  22.7  
S5a. OLS and Bayesian Regressions for the Cameroon FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0419  0.0236   1.78 0.077  0.0419  [-0.00926, 0.0931]
Accessibility mean* −0.193   0.0814  −2.38 0.018 −0.195   [-0.331, -0.0587]
Mean GDP Per Capita mean*  0.298   0.124    2.40 0.017  0.297   [0.0898, 0.503]
Urban Extent prop*  0.00635 0.00139  4.59 <0.001  0.00635 [0.00423, 0.00846]
Mean GDP Per Capita x Urban Extent mean, prop  0.0288  0.00735  3.91 <0.001  0.0288  [0.0175, 0.0401]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.112  Precision (Gaussian)     10.1    [9.17, 11.1]
Adj.R.sqr  0.0960 Precision (Spatial) 32,000      [184, 217000]
Pred.R.sqr  0.0730 Precision (Temporal)  5,130      [150, 23300]
Adj.R2.to.R2  0.850  phi      0.384  [0.0281, 0.873]
Pred.R2.to.R2  0.647  rho (Spatial)      0.0478 [-0.928, 0.868]
PRESS 22.1    rho (Temporal)      0.620  [-0.521, 0.99]
DIC    121     
DIC, Saturated    123     
Marginal Likelihood     30.7   
S5b. OLS and Bayesian Regressions for the Cameroon TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept) −0.0743 0.0255  −2.92  0.004 −0.0785 [-0.168, 0.0104]
LAI High Vegetation mean −0.108  0.0378  −2.86  0.005 −0.105  [-0.168, -0.0423]
Precipitation sum*  0.0904 0.0389   2.33  0.021  0.101  [0.0504, 0.153]
Wind V (Northward) max −0.0948 0.0355  −2.67  0.008 −0.121  [-0.173, -0.0683]
Underweight Children mean −0.0104 0.00391 −2.67  0.008 −0.0114 [-0.0233, 0.000122]
Urban Extent sum*  0.0361 0.0382   0.943 0.347  0.0308 [-0.0707, 0.131]
Underweight Children x Urban Extent mean, sum* −0.0466 0.00920 −5.07  <0.001 −0.0494 [-0.0745, -0.0248]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.195 Precision (Gaussian)      9.79  [8.8, 10.8]
Adj.R.sqr  0.172 Precision (Spatial)  1,320     [32, 9700]
Pred.R.sqr  0.144 Precision (Temporal) 19,000     [1340, 66900]
Adj.R2.to.R2  0.881 phi      0.443 [0.0223, 0.988]
Pred.R2.to.R2  0.740 rho (Spatial)      0.168 [-0.939, 0.991]
PRESS 25.6   rho (Temporal)      0.681 [-0.498, 0.994]
DIC    143    
DIC, Saturated    134    
Marginal Likelihood     17.3  
S6a. OLS and Bayesian Regressions for the Côte d’Ivoire FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept) −0.0259 0.0263  −0.984 0.326 −0.0433 [-0.222, 0.135]
Evaporation mean −0.299  0.0529  −5.64  <0.001 −0.417  [-0.527, -0.307]
Secondary Education, Male mean  0.0296 0.0110   2.70  0.007  0.0569 [0.0133, 0.101]
Evaporation sum*  1.39   0.189    7.34  <0.001  2.09   [1.59, 2.59]
Infact Mortality Rate max  0.0700 0.0240   2.92  0.004  0.105  [0.00224, 0.209]
Underweight Children mean −0.0378 0.00726 −5.21  <0.001 −0.0454 [-0.0791, -0.0117]
Urban Extent prop*  0.0523 0.00669  7.83  <0.001  0.0786 [0.0607, 0.0968]
Mean GDP Per Capita mean* −1.64   0.423   −3.87  <0.001 −3.18   [-4.52, -1.85]
Underweight Children x Urban Extent mean, prop* −0.0103 0.00195 −5.31  <0.001 −0.0187 [-0.0238, -0.0136]
Urban Extent x Mean GDP Per Capita prop, mean −0.339  0.0618  −5.49  <0.001 −0.617  [-0.767, -0.469]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.258 Precision (Gaussian)   6.80  [6.29, 7.32]
Adj.R.sqr  0.236 Precision (Spatial)  76.4   [8.02, 429]
Pred.R.sqr  0.206 Precision (Temporal) 250     [38.5, 955]
Adj.R2.to.R2  0.914 phi   0.102 [0.0223, 0.23]
Pred.R2.to.R2  0.799 rho (Spatial)   0.521 [-0.683, 0.993]
PRESS 58.9   rho (Temporal)   0.768 [0.317, 0.962]
DIC 315    
DIC, Saturated 313    
Marginal Likelihood −37.6  
S6b. OLS and Bayesian Regressions for the Côte d’Ivoire TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.00356 0.0252  0.141 0.888 −0.0136 [-0.217, 0.185]
2m Surface Temperature mean −0.0371  0.0188 −1.97  0.050 −0.0363 [-0.073, 0.000942]
Surface Pressure mean −0.195   0.0474 −4.12  <0.001 −0.165  [-0.304, -0.0245]
No Primary Education, Male mean −0.0750  0.0283 −2.65  0.009 −0.0666 [-0.15, 0.0171]
Underweight Children mean −0.0325  0.0104 −3.12  0.002 −0.0266 [-0.0572, 0.00427]
Mean GDP Per Capita mean*  0.781   0.263   2.98  0.003  0.812  [-0.0545, 1.68]
Urban Extent sum*  0.227   0.0827  2.75  0.006  0.218  [-0.0647, 0.505]
No Primary Education, Female max  0.0591  0.0158  3.75  <0.001  0.0571 [0.00972, 0.104]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.135  Precision (Gaussian)   6.73  [6.23, 7.25]
Adj.R.sqr  0.115  Precision (Spatial)  31.1   [8.98, 78.1]
Pred.R.sqr  0.0940 Precision (Temporal)  68.8   [17.3, 175]
Adj.R2.to.R2  0.853  phi   0.377 [0.0541, 0.87]
Pred.R2.to.R2  0.695  rho (Spatial)   0.221 [-0.972, 0.995]
PRESS 63.1    rho (Temporal)   0.841 [0.58, 0.97]
DIC 315    
DIC, Saturated 317    
Marginal Likelihood −31.5  
S7a. OLS and Bayesian Regressions for the Egypt FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0615  0.00611   10.1  <0.001  0.0634  [-0.0523, 0.181]
No Primary Education, Female max −0.0808  0.0163    −4.96 <0.001 −0.0768  [-0.124, -0.0298]
No Primary Education, Male max  0.0968  0.0194     4.98 <0.001  0.0865  [0.0304, 0.142]
2m Surface Temperature max  0.00638 0.000968   6.59 <0.001  0.00588 [0.00371, 0.00799]
LAI High Vegetation max −0.0531  0.00414  −12.8  <0.001 −0.0513  [-0.063, -0.0394]
Secondary Education, Male max −0.0200  0.00198  −10.1  <0.001 −0.0203  [-0.0258, -0.0149]
2m Surface Temperature x LAI High Vegetation max, max −0.00455 0.000586  −7.76 <0.001 −0.00477 [-0.00558, -0.00397]
2m Surface Temperature x Secondary Education, Male max, max −0.00171 0.000269  −6.36 <0.001 −0.00170 [-0.00207, -0.00134]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.373 Precision (Gaussian)   54.2    [51.1, 57.1]
Adj.R.sqr  0.366 Precision (Spatial)  351      [140, 708]
Pred.R.sqr  0.349 Precision (Temporal)  456      [45.2, 1670]
Adj.R2.to.R2  0.981 phi    0.0805 [0.000432, 0.454]
Pred.R2.to.R2  0.936 rho (Spatial)    0.830  [-0.18, 0.998]
PRESS 14.8   rho (Temporal)    0.911  [0.646, 0.995]
DIC −642     
DIC, Saturated −566     
Marginal Likelihood  569     
S7b. OLS and Bayesian Regressions for the Egypt TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0629  0.00627  10.0  <0.001  0.0680   [0.00239, 0.133]
Secondary Education, Male mean  0.00463 0.00213   2.18 0.030  0.00658  [-0.00194, 0.0151]
Mean GDP Per Capita mean*  0.110   0.0402    2.74 0.006  0.179    [0.056, 0.303]
Urban Extent sum*  0.0589  0.0217    2.71 0.007  0.0761   [-0.00128, 0.153]
2m Surface Temperature max  0.00761 0.00144   5.30 <0.001  0.00612  [0.00237, 0.00977]
Secondary Education, Male max −0.0333  0.00401  −8.30 <0.001 −0.0358   [-0.0502, -0.0214]
Secondary Education, Female max  0.00326 0.00263   1.24 0.215 −0.000255 [-0.00948, 0.00895]
Mean GDP Per Capita max* −0.0602  0.0230   −2.61 0.009 −0.0721   [-0.143, -0.00102]
LAI High Vegetation max −0.0503  0.00735  −6.85 <0.001 −0.0635   [-0.0888, -0.0382]
Surface Pressure max  0.0167  0.0149    1.12 0.262  0.00785  [-0.0404, 0.0562]
2m Surface Temperature x Secondary Education, Male max, max −0.00139 0.000272 −5.09 <0.001 −0.00168  [-0.00205, -0.0013]
Secondary Education, Female x Mean GDP Per Capita max, max* −0.00356 0.00137  −2.59 0.010 −0.00372  [-0.00918, 0.00175]
LAI High Vegetation x Surface Pressure max, max  0.0315  0.00566   5.57 <0.001  0.0684   [0.0562, 0.0806]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.366 Precision (Gaussian)    52.2    [49.4, 55.1]
Adj.R.sqr  0.354 Precision (Spatial) 1,690      [110, 7950]
Pred.R.sqr  0.331 Precision (Temporal)   467      [138, 1380]
Adj.R2.to.R2  0.966 phi     0.0438 [0.0116, 0.0968]
Pred.R2.to.R2  0.903 rho (Spatial)     0.868  [0.0318, 0.999]
PRESS 15.5   rho (Temporal)     0.692  [-0.337, 0.989]
DIC  −624     
DIC, Saturated  −553     
Marginal Likelihood   544     
S8a. OLS and Bayesian Regressions for the Gabon FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.290 0.0411  7.06 <0.001  0.290 [0.187, 0.393]
Surface Pressure mean  0.175 0.0279  6.29 <0.001  0.173 [0.117, 0.229]
No Primary Education, Male mean −0.183 0.0355 −5.16 <0.001 −0.181 [-0.25, -0.112]
Urban Extent sum*  0.299 0.114   2.63 0.010  0.306 [0.0592, 0.556]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.291 Precision (Gaussian)      5.23   [4.14, 6.21]
Adj.R.sqr  0.273 Precision (Spatial)  3,700      [14.7, 24600]
Pred.R.sqr  0.240 Precision (Temporal) 16,500      [479, 68500]
Adj.R2.to.R2  0.937 phi      0.435  [0.0218, 0.964]
Pred.R2.to.R2  0.825 rho (Spatial)      0.0487 [-0.845, 0.917]
PRESS 25.2   rho (Temporal)      0.115  [-0.975, 0.985]
DIC    153     
DIC, Saturated    223     
Marginal Likelihood     13.7   
S8b. OLS and Bayesian Regressions for the Gabon TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0685 0.0343  2.00  0.048  0.0751 [-0.0455, 0.197]
Precipitation mean  0.0918 0.0239  3.84  <0.001  0.0816 [0.0512, 0.112]
Skin Reservoir Content mean −3.43   0.787  −4.36  <0.001 −2.98   [-3.97, -1.98]
2m Surface Temperature max  0.0634 0.0659  0.962 0.338  0.0553 [-0.0455, 0.157]
VIIRS Night-time Lights max* −0.120  0.0426 −2.83  0.005 −0.112  [-0.192, -0.031]
2m Surface Temperature x VIIRS Night-time Lights max, max*  0.329  0.0611  5.38  <0.001  0.296  [0.203, 0.39]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.248 Precision (Gaussian)      7.47  [6.26, 8.75]
Adj.R.sqr  0.221 Precision (Spatial)    238     [13.7, 1240]
Pred.R.sqr  0.175 Precision (Temporal) 21,100     [1590, 78500]
Adj.R2.to.R2  0.890 phi      0.378 [0.0248, 0.911]
Pred.R2.to.R2  0.706 rho (Spatial)      0.124 [-0.9, 0.977]
PRESS 23.1   rho (Temporal)      0.194 [-0.901, 0.932]
DIC    139    
DIC, Saturated    175    
Marginal Likelihood     22.0  
S9a. OLS and Bayesian Regressions for the Ghana FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0468  0.0109    4.30 <0.001  0.0361  [-0.0566, 0.124]
Accessibility mean* −0.327   0.0849   −3.85 <0.001 −0.328   [-0.549, -0.108]
No Primary Education, Female mean −0.0400  0.0109   −3.67 <0.001 −0.0393  [-0.0678, -0.0108]
Urban Extent prop* −0.00368 0.000980 −3.76 <0.001 −0.00364 [-0.00604, -0.00124]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared 0.0810 Precision (Gaussian)   45.3   [41.8, 48.8]
Adj.R.sqr 0.0680 Precision (Spatial)  201     [35.4, 676]
Pred.R.sqr 0.0420 Precision (Temporal)  888     [52.8, 4120]
Adj.R2.to.R2 0.837  phi    0.154 [0.00286, 0.719]
Pred.R2.to.R2 0.523  rho (Spatial)    0.755 [-0.362, 0.997]
PRESS 5.49   rho (Temporal)    0.895 [0.603, 0.99]
DIC −187    
DIC, Saturated −167    
Marginal Likelihood  173    
S9b. OLS and Bayesian Regressions for the Ghana TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0798  0.0142   5.63 <0.001  0.0764  [0.022, 0.129]
No Primary Education, Female mean −0.0192  0.0101  −1.91 0.058 −0.0189  [-0.0457, 0.00784]
Accessibility mean* −0.255   0.0868  −2.93 0.004 −0.271   [-0.499, -0.0455]
Secondary Education, Female mean −0.00504 0.00185 −2.72 0.007 −0.00578 [-0.012, 3e-04]
Accessibility x Secondary Education, Female mean*, mean  0.0239  0.00824  2.90 0.004  0.0245  [0.00344, 0.0457]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared 0.0640 Precision (Gaussian)    41.7   [37.2, 46]
Adj.R.sqr 0.0470 Precision (Spatial)   932     [81.6, 4090]
Pred.R.sqr 0.0130 Precision (Temporal) 2,780     [234, 14300]
Adj.R2.to.R2 0.725  phi     0.259 [0.0116, 0.82]
Pred.R2.to.R2 0.197  rho (Spatial)     0.671 [-0.607, 0.991]
PRESS 6.03   rho (Temporal)     0.634 [0.306, 0.841]
DIC  −173    
DIC, Saturated  −150    
Marginal Likelihood   169    
S10a. OLS and Bayesian Regressions for the Kenya FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.142    0.0109    13.0    <0.001  0.124    [0.0171, 0.213]
School Holidays days  0.00360  0.000703   5.13   <0.001  0.00351  [0.00246, 0.00455]
Wind U (Eastward) max −0.0784   0.0130    −6.01   <0.001 −0.0676   [-0.0866, -0.0486]
Wind V (Northward) max  0.0351   0.00571    6.15   <0.001  0.0275   [0.0184, 0.0365]
Mean GDP Per Capita max*  0.108    0.0223     4.84   <0.001  0.0965   [0.0586, 0.134]
LAI Low Vegetation mean  0.0977   0.0254     3.84   <0.001  0.0967   [0.0503, 0.143]
2m Surface Temperature max −0.000107 0.00321   −0.0332 0.974 −0.000202 [-0.00599, 0.00558]
Evaporation max  0.0501   0.0130     3.84   <0.001  0.0419   [0.0234, 0.0604]
Underweight Children max  0.00308  0.00193    1.59   0.111  0.00315  [-0.000342, 0.00665]
Total Runoff sum*  0.0731   0.0191     3.82   <0.001  0.0633   [0.0345, 0.0921]
Accessibility max* −0.0229   0.0528    −0.434  0.664 −0.0312   [-0.113, 0.0505]
Mean GDP Per Capita mean* −0.0450   0.0329    −1.37   0.172 −0.0248   [-0.0821, 0.0327]
Urban Extent sum* −0.163    0.0153   −10.6    <0.001 −0.164    [-0.193, -0.135]
Skin Reservoir Content sum* −0.118    0.0423    −2.79   0.005 −0.0851   [-0.145, -0.0248]
LAI Low Vegetation x 2m Surface Temperature mean, max  0.0589   0.00633    9.31   <0.001  0.0529   [0.0431, 0.0626]
Evaporation x Underweight Children max, max −0.0148   0.00173   −8.55   <0.001 −0.0152   [-0.0178, -0.0126]
Underweight Children x Total Runoff max, sum*  0.0179   0.00290    6.15   <0.001  0.0194   [0.0152, 0.0235]
Evaporation x Accessibility max, max*  0.134    0.0263     5.09   <0.001  0.130    [0.0905, 0.169]
Mean GDP Per Capita x Urban Extent mean, sum  0.270    0.0259    10.4    <0.001  0.267    [0.217, 0.316]
Accessibility x Skin Reservoir Content max, sum −0.419    0.0770    −5.45   <0.001 −0.420    [-0.535, -0.304]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.293 Precision (Gaussian)   21.1    [20.4, 21.8]
Adj.R.sqr  0.281 Precision (Spatial)  682      [314, 1230]
Pred.R.sqr  0.262 Precision (Temporal)  552      [36.2, 2240]
Adj.R2.to.R2  0.958 phi    0.0837 [0.00551, 0.348]
Pred.R2.to.R2  0.894 rho (Spatial)    0.990  [0.948, 0.999]
PRESS 56.9   rho (Temporal)    0.873  [0.329, 0.997]
DIC −191     
DIC, Saturated  −59.5   
Marginal Likelihood  505     
S10b. OLS and Bayesian Regressions for the Kenya TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0902  0.00906   9.96  <0.001  0.0757   [0.0202, 0.122]
School Holidays days  0.00332 0.000701  4.74  <0.001  0.00309  [0.00189, 0.00429]
No Primary Education, Female mean  0.0138  0.00271   5.11  <0.001  0.0157   [0.0074, 0.0241]
Urban Extent sum* −0.115   0.0139   −8.23  <0.001 −0.112    [-0.156, -0.0677]
Secondary Education, Male max  0.00491 0.000972  5.06  <0.001  0.00530  [0.00214, 0.00845]
Underweight Children max  0.00533 0.00162   3.29  0.001  0.00554  [0.000586, 0.0105]
Mean GDP Per Capita max*  0.0443  0.0137    3.23  0.001  0.0474   [0.00569, 0.0891]
2m Surface Temperature max  0.00123 0.00312   0.394 0.694  0.000235 [-0.0079, 0.00832]
Evaporation max  0.0311  0.00931   3.34  <0.001  0.0300   [0.0126, 0.0475]
LAI Low Vegetation mean  0.0398  0.0243    1.64  0.101  0.0576   [-0.00739, 0.123]
Skin Reservoir Content sum* −0.0498  0.0236   −2.11  0.035 −0.0408   [-0.0883, 0.00658]
2m Surface Temperature x Evaporation max, max  0.0119  0.00204   5.86  <0.001  0.00854  [0.00527, 0.0118]
LAI Low Vegetation x Skin Reservoir Content mean, sum*  0.192   0.0450    4.26  <0.001  0.153    [0.0852, 0.221]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.198 Precision (Gaussian)   24.1   [23.2, 25]
Adj.R.sqr  0.189 Precision (Spatial)  299     [125, 622]
Pred.R.sqr  0.177 Precision (Temporal)  462     [119, 1100]
Adj.R2.to.R2  0.955 phi    0.172 [0.0036, 0.798]
Pred.R2.to.R2  0.896 rho (Spatial)    0.987 [0.941, 0.999]
PRESS 56.5   rho (Temporal)    0.524 [-0.186, 0.953]
DIC −325    
DIC, Saturated −206    
Marginal Likelihood  560    
S11a. OLS and Bayesian Regressions for the Libya FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept) −0.0616 0.0569 −1.08 0.281 −0.0605 [-0.37, 0.248]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0      Precision (Gaussian)   2.27  [2, 2.55]
Adj.R.sqr  0      Precision (Spatial) 135     [8.24, 706]
Pred.R.sqr −0.0120 Precision (Temporal)  42.9   [8.75, 136]
Adj.R2.to.R2 phi   0.131 [0.00381, 0.611]
Pred.R2.to.R2 −Inf rho (Spatial)   0.273 [-0.97, 0.995]
PRESS 92.0    rho (Temporal)   0.784 [0.416, 0.95]
DIC 354    
DIC, Saturated 333    
Marginal Likelihood  17.3  
S11b. OLS and Bayesian Regressions for the Libya TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.205  0.0440  4.65 <0.001  0.203  [-0.0281, 0.433]
Secondary Education, Female mean −0.0892 0.0182 −4.91 <0.001 −0.0893 [-0.121, -0.0576]
Surface Pressure max −0.139  0.0336 −4.14 <0.001 −0.137  [-0.195, -0.0784]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared   0.100  Precision (Gaussian)   2.47  [2.25, 2.7]
Adj.R.sqr   0.0920 Precision (Spatial) 140     [10.5, 674]
Pred.R.sqr   0.0800 Precision (Temporal)  65.1   [10.2, 228]
Adj.R2.to.R2   0.924  phi   0.121 [0.00325, 0.571]
Pred.R2.to.R2   0.800  rho (Spatial)   0.409 [-0.916, 0.995]
PRESS 113      rho (Temporal)   0.787 [0.371, 0.956]
DIC 479    
DIC, Saturated 577    
Marginal Likelihood −46.0  
S12a. OLS and Bayesian Regressions for the Mali FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.102 0.0301  3.40 <0.001  0.102 [0.0298, 0.175]
Accessibility mean* −0.151 0.0622 −2.43 0.016 −0.151 [-0.266, -0.0363]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.0340 Precision (Gaussian)      6.70   [5.97, 7.5]
Adj.R.sqr  0.0290 Precision (Spatial)  1,530      [29.6, 9880]
Pred.R.sqr  0.0130 Precision (Temporal) 22,500      [2000, 77800]
Adj.R2.to.R2  0.831  phi      0.383  [0.021, 0.922]
Pred.R2.to.R2  0.391  rho (Spatial)      0.0219 [-0.988, 0.99]
PRESS 25.7    rho (Temporal)      0.148  [-0.973, 0.99]
DIC    163     
DIC, Saturated    197     
Marginal Likelihood     −1.61  
S12b. OLS and Bayesian Regressions for the Mali TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept) 0.0190 0.0285 0.668 0.505 0.0197 [-0.0823, 0.122]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0      Precision (Gaussian)      8.16  [7.27, 9.1]
Adj.R.sqr  0      Precision (Spatial)    127     [20.4, 461]
Pred.R.sqr −0.0120 Precision (Temporal) 13,900     [646, 58800]
Adj.R2.to.R2 phi      0.357 [0.0221, 0.908]
Pred.R2.to.R2 −Inf rho (Spatial)      0.375 [-0.945, 0.997]
PRESS 23.1    rho (Temporal)      0.412 [-0.878, 0.987]
DIC    132    
DIC, Saturated    139    
Marginal Likelihood     12.0  
S13a. OLS and Bayesian Regressions for the Morocco FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0690  0.0179    3.86 <0.001  0.0742  [0.0216, 0.127]
School Holidays days  0.00520 0.00157   3.32 0.001  0.00508 [0.00276, 0.00741]
No Primary Education, Male mean  0.398   0.0761    5.24 <0.001  0.384   [0.24, 0.528]
Secondary Education, Male mean  0.120   0.0249    4.82 <0.001  0.118   [0.0742, 0.162]
Evaporation sum*  0.200   0.0540    3.69 <0.001  0.188   [0.103, 0.273]
Urban Extent prop* −0.00378 0.000993 −3.81 <0.001 −0.00398 [-0.0062, -0.00176]
LAI Low Vegetation max  0.229   0.0492    4.66 <0.001  0.207   [0.101, 0.312]
Secondary Education, Female max −0.0539  0.0141   −3.82 <0.001 −0.0550  [-0.0853, -0.0248]
Total Runoff sum* −0.216   0.0530   −4.08 <0.001 −0.214   [-0.29, -0.139]
Surface Pressure max −0.116   0.0194   −5.99 <0.001 −0.116   [-0.15, -0.0804]
Total Runoff x Surface Pressure sum*, max  0.135   0.0372    3.64 <0.001  0.158   [0.106, 0.209]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.291 Precision (Gaussian)  13.9   [12.8, 15.2]
Adj.R.sqr  0.270 Precision (Spatial) 272     [35.3, 1060]
Pred.R.sqr  0.237 Precision (Temporal) 293     [55.7, 908]
Adj.R2.to.R2  0.925 phi   0.115 [0.00169, 0.609]
Pred.R2.to.R2  0.812 rho (Spatial)   0.817 [-0.383, 1]
PRESS 26.1   rho (Temporal)  −0.406 [-0.948, 0.568]
DIC  77.7  
DIC, Saturated  99.8  
Marginal Likelihood  89.6  
S13b. OLS and Bayesian Regressions for the Morocco TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0170   0.0147    1.15 0.250  0.0169   [-0.0165, 0.0502]
School Holidays days  0.00802  0.00177   4.54 <0.001  0.00777  [0.00541, 0.0101]
Urban Extent prop* −0.000764 0.000729 −1.05 0.295 −0.000777 [-0.00216, 0.000606]
No Primary Education, Female max  0.0266   0.0202    1.32 0.188  0.0264   [-0.0097, 0.0625]
2m Dewpoint Temperature max −0.00844  0.00498  −1.70 0.091 −0.00749  [-0.0143, -0.000661]
Infact Mortality Rate max  0.0494   0.0116    4.26 <0.001  0.0491   [0.027, 0.0712]
Urban Extent x No Primary Education, Female prop*, max  0.00389  0.00132   2.95 0.003  0.00397  [0.00162, 0.00632]
2m Dewpoint Temperature x Infact Mortality Rate max, max  0.0105   0.00281   3.74 <0.001  0.0105   [0.00648, 0.0145]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.222 Precision (Gaussian)    15.0   [14, 16.1]
Adj.R.sqr  0.205 Precision (Spatial) 3,970     [2220, 8150]
Pred.R.sqr  0.181 Precision (Temporal) 6,840     [1110, 14300]
Adj.R2.to.R2  0.925 phi     0.444 [0.0218, 0.99]
Pred.R2.to.R2  0.815 rho (Spatial)     0.748 [-0.336, 0.996]
PRESS 23.6   rho (Temporal)     0.201 [-0.985, 0.994]
DIC    56.4  
DIC, Saturated    58.8  
Marginal Likelihood   101    
S14a. OLS and Bayesian Regressions for the Mozambique FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept) −0.0401 0.0200  −2.01 0.046 −0.0465 [-0.138, 0.0458]
Infact Mortality Rate mean −0.0280 0.0135  −2.08 0.039 −0.0158 [-0.0634, 0.0329]
No Primary Education, Male mean  0.0197 0.00493  4.00 <0.001  0.0193 [0.0045, 0.0341]
Accessibility max* −0.834  0.115   −7.26 <0.001 −0.846  [-1.27, -0.428]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.184 Precision (Gaussian)     12.2   [11.1, 13.4]
Adj.R.sqr  0.173 Precision (Spatial)     56.0   [13.1, 160]
Pred.R.sqr  0.157 Precision (Temporal) 28,900     [3410, 103000]
Adj.R2.to.R2  0.944 phi      0.340 [0.0135, 0.914]
Pred.R2.to.R2  0.854 rho (Spatial)      0.562 [-0.581, 0.982]
PRESS 23.4   rho (Temporal)      0.598 [-0.539, 0.987]
DIC     99.2  
DIC, Saturated     79.9  
Marginal Likelihood     33.3  
S14b. OLS and Bayesian Regressions for the Mozambique TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept) −0.0489 0.0193  −2.53 0.012 −0.0566 [-0.13, 0.0172]
Infact Mortality Rate mean −0.0524 0.0150  −3.49 <0.001 −0.0349 [-0.0841, 0.0153]
No Primary Education, Male mean  0.0273 0.00511  5.33 <0.001  0.0264 [0.0118, 0.0409]
Urban Extent sum*  0.259  0.112    2.32 0.021  0.203  [-0.105, 0.508]
Accessibility max* −0.583  0.176   −3.32 0.001 −0.659  [-1.19, -0.129]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.234 Precision (Gaussian)     12.5   [11.4, 13.8]
Adj.R.sqr  0.221 Precision (Spatial)     92.8   [18.2, 284]
Pred.R.sqr  0.201 Precision (Temporal) 29,900     [3260, 106000]
Adj.R2.to.R2  0.944 phi      0.462 [0.0535, 0.915]
Pred.R2.to.R2  0.859 rho (Spatial)      0.254 [-0.937, 0.98]
PRESS 21.9   rho (Temporal)      0.167 [-0.908, 0.956]
DIC     88.3  
DIC, Saturated     64.8  
Marginal Likelihood     38.2  
S15a. OLS and Bayesian Regressions for the Namibia FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0461  0.00994  4.64 <0.001  0.0447  [-0.0336, 0.122]
2m Surface Temperature mean −0.00712 0.00290 −2.45 0.015 −0.00540 [-0.0102, -0.000427]
Surface Pressure mean  0.0179  0.00533  3.35 <0.001  0.0183  [0.00118, 0.0355]
Infact Mortality Rate mean −0.0207  0.0103  −2.01 0.046 −0.0258  [-0.0585, 0.00647]
LAI High Vegetation mean −0.0609  0.0210  −2.90 0.004 −0.0804  [-0.156, -0.00875]
Total Runoff sum* −0.0528  0.0235  −2.25 0.025 −0.0580  [-0.0962, -0.0197]
LAI High Vegetation x Total Runoff mean, sum*  0.0844  0.0247   3.42 <0.001  0.0857  [0.0516, 0.12]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared 0.162 Precision (Gaussian)   41.8    [38.4, 45.4]
Adj.R.sqr 0.144 Precision (Spatial)  165      [44.1, 380]
Pred.R.sqr 0.120 Precision (Temporal)  964      [235, 3580]
Adj.R2.to.R2 0.889 phi    0.0692 [0.00124, 0.327]
Pred.R2.to.R2 0.741 rho (Spatial)    0.964  [0.831, 0.999]
PRESS 8.31  rho (Temporal)    0.585  [-0.303, 0.916]
DIC −229     
DIC, Saturated −201     
Marginal Likelihood  227     
S15b. OLS and Bayesian Regressions for the Namibia TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0626  0.0113   5.56 <0.001  0.0620  [0.00237, 0.122]
LAI High Vegetation mean −0.105   0.0265  −3.97 <0.001 −0.116   [-0.213, -0.0216]
Infact Mortality Rate mean −0.0838  0.0170  −4.92 <0.001 −0.0833  [-0.135, -0.0314]
Secondary Education, Female mean −0.00527 0.00200 −2.63 0.009 −0.00568 [-0.0124, 0.00101]
Mean GDP Per Capita mean* −0.131   0.0554  −2.37 0.019 −0.138   [-0.307, 0.0297]
Evaporation sum* −0.0893  0.0206  −4.33 <0.001 −0.0845  [-0.118, -0.0515]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.116  Precision (Gaussian)    32.5   [29.3, 35.7]
Adj.R.sqr  0.101  Precision (Spatial)   660     [131, 1830]
Pred.R.sqr  0.0770 Precision (Temporal) 2,510     [180, 11500]
Adj.R2.to.R2  0.866  phi     0.284 [0.00935, 0.832]
Pred.R2.to.R2  0.660  rho (Spatial)     0.919 [0.605, 0.996]
PRESS 10.8    rho (Temporal)     0.659 [-0.146, 0.967]
DIC  −159    
DIC, Saturated  −123    
Marginal Likelihood   194    
S16a. OLS and Bayesian Regressions for the Niger FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept) 0.0350 0.0316  1.11 0.269 0.0345 [-0.0386, 0.107]
Infact Mortality Rate mean 0.0730 0.0126  5.81 <0.001 0.0736 [0.0475, 0.0997]
No Primary Education, Male mean 0.0240 0.00688 3.49 <0.001 0.0252 [0.0108, 0.0397]
Evaporation sum* 0.0895 0.0403  2.22 0.028 0.101  [0.0386, 0.163]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.219 Precision (Gaussian)       6.55  [5.71, 7.42]
Adj.R.sqr  0.205 Precision (Spatial) 107,000     [53.1, 379000]
Pred.R.sqr  0.176 Precision (Temporal)  22,800     [1980, 83000]
Adj.R2.to.R2  0.935 phi       0.401 [0.0187, 0.953]
Pred.R2.to.R2  0.805 rho (Spatial)      −0.817 [-0.99, -0.165]
PRESS 29.0   rho (Temporal)       0.466 [-0.909, 0.996]
DIC     177    
DIC, Saturated     189    
Marginal Likelihood     −18.7  
S16b. OLS and Bayesian Regressions for the Niger TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0432 0.0321  1.35 0.179  0.0470 [-0.0849, 0.178]
No Primary Education, Female mean −0.0396 0.0161 −2.46 0.015 −0.0318 [-0.0836, 0.0207]
No Primary Education, Male mean  0.0326 0.0107  3.05 0.003  0.0357 [0.00116, 0.0706]
Evaporation sum*  0.100  0.0430  2.33 0.021  0.121  [0.0506, 0.191]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.104  Precision (Gaussian)      6.71  [5.92, 7.55]
Adj.R.sqr  0.0870 Precision (Spatial)     56.2   [8.75, 199]
Pred.R.sqr  0.0560 Precision (Temporal) 18,400     [872, 84700]
Adj.R2.to.R2  0.842  phi      0.345 [0.0201, 0.899]
Pred.R2.to.R2  0.543  rho (Spatial)     −0.187 [-0.983, 0.96]
PRESS 29.8    rho (Temporal)      0.646 [-0.461, 0.989]
DIC    173    
DIC, Saturated    187    
Marginal Likelihood    −18.3  
S17a. OLS and Bayesian Regressions for the Nigeria FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0582   0.00938   6.20  <0.001  0.0532  [-0.00432, 0.11]
Evaporation mean  0.0504   0.0101    4.98  <0.001  0.0284  [0.0125, 0.0441]
Accessibility mean* −0.0701   0.0289   −2.42  0.016 −0.0773  [-0.164, 0.00871]
Underweight Children mean  0.0127   0.00192   6.62  <0.001  0.0120  [0.00696, 0.017]
Urban Extent sum* −0.117    0.0254   −4.60  <0.001 −0.123   [-0.199, -0.0481]
Total Runoff sum* −0.00269  0.0134   −0.200 0.841  0.00527 [-0.0228, 0.0331]
Underweight Children max −0.00382  0.00133  −2.87  0.004 −0.00407 [-0.00775, -0.000397]
No Primary Education, Female max  0.0106   0.00448   2.37  0.018  0.00984 [-0.00375, 0.0234]
Infact Mortality Rate mean −0.0214   0.00628  −3.41  <0.001 −0.0171  [-0.0343, 9.68e-05]
Secondary Education, Male max  0.000815 0.00114   0.717 0.473  0.00161 [-0.00193, 0.00515]
Total Runoff x Underweight Children sum*, max −0.00393  0.00104  −3.79  <0.001 −0.00274 [-0.00434, -0.00114]
Underweight Children x No Primary Education, Female max, max −0.00211  0.000456 −4.64  <0.001 −0.00251 [-0.00388, -0.00115]
Infact Mortality Rate x Secondary Education, Male mean, max  0.00339  0.000714  4.74  <0.001  0.00298 [0.000888, 0.00506]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.167 Precision (Gaussian)   40.9   [39, 42.7]
Adj.R.sqr  0.155 Precision (Spatial)  223     [106, 412]
Pred.R.sqr  0.141 Precision (Temporal)  390     [153, 832]
Adj.R2.to.R2  0.929 phi    0.272 [0.033, 0.71]
Pred.R2.to.R2  0.845 rho (Spatial)    0.454 [-0.895, 0.992]
PRESS 27.6   rho (Temporal)    0.526 [0.0889, 0.822]
DIC −690    
DIC, Saturated −573    
Marginal Likelihood  650    
S17b. OLS and Bayesian Regressions for the Nigeria TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0937   0.0126    7.45  <0.001  0.0854    [-0.0544, 0.211]
School Holidays days  0.00315  0.000809  3.89  <0.001  0.00302   [0.00118, 0.00486]
Evaporation mean  0.0190   0.00789   2.41  0.016  0.00759   [-0.00547, 0.0206]
Accessibility mean* −0.0643   0.0321   −2.00  0.046 −0.0473    [-0.154, 0.0592]
Urban Extent sum* −0.0875   0.0258   −3.39  <0.001 −0.0811    [-0.17, 0.00806]
LAI High Vegetation max  0.0235   0.00749   3.13  0.002  0.0175    [-0.00511, 0.04]
Infact Mortality Rate max  0.00872  0.00398   2.19  0.029  0.00932   [-0.00513, 0.0237]
Secondary Education, Male mean −0.00141  0.00109  −1.29  0.197 −0.000920  [-0.00465, 0.00281]
Underweight Children max  0.000687 0.00116   0.590 0.555 −0.0000647 [-0.00425, 0.00408]
Secondary Education, Male x Underweight Children mean, max  0.000283 0.000112  2.52  0.012  0.000259  [-0.000147, 0.000664]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.0780 Precision (Gaussian)   38.0   [36.4, 39.7]
Adj.R.sqr  0.0680 Precision (Spatial)  125     [63.9, 222]
Pred.R.sqr  0.0560 Precision (Temporal)  153     [22.4, 460]
Adj.R2.to.R2  0.875  phi    0.107 [0.00152, 0.554]
Pred.R2.to.R2  0.721  rho (Spatial)    0.755 [-0.507, 0.997]
PRESS 30.2    rho (Temporal)    0.820 [0.437, 0.982]
DIC −639    
DIC, Saturated −524    
Marginal Likelihood  618    
S18a. OLS and Bayesian Regressions for the Rwanda FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0727 0.0196   3.71 <0.001  0.0722 [-0.00802, 0.152]
No Primary Education, Female mean −0.0528 0.0109  −4.85 <0.001 −0.0504 [-0.0853, -0.0135]
Urban Extent prop* −0.0122 0.00207 −5.90 <0.001 −0.0118 [-0.0183, -0.00483]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared 0.294 Precision (Gaussian)     28.3   [23.8, 33.4]
Adj.R.sqr 0.279 Precision (Spatial)    738     [37.3, 3970]
Pred.R.sqr 0.241 Precision (Temporal) 29,400     [2130, 123000]
Adj.R2.to.R2 0.948 phi      0.409 [0.029, 0.919]
Pred.R2.to.R2 0.818 rho (Spatial)      0.338 [-0.956, 0.994]
PRESS 3.68  rho (Temporal)      0.583 [0.0191, 0.916]
DIC    −39.2  
DIC, Saturated    −25.3  
Marginal Likelihood     66.8  
S18b. OLS and Bayesian Regressions for the Rwanda TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0626 0.0225  2.78 0.007  0.0628 [-0.0146, 0.141]
Skin Reservoir Content mean −1.57   0.447  −3.51 <0.001 −1.45   [-2.07, -0.827]
Accessibility mean*  0.213  0.0604  3.53 <0.001  0.218  [0.0404, 0.397]
2m Surface Temperature max −0.112  0.0328 −3.41 <0.001 −0.107  [-0.158, -0.0552]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared 0.177  Precision (Gaussian)     21.3   [17.8, 25.5]
Adj.R.sqr 0.150  Precision (Spatial)  1,690     [17.5, 11300]
Pred.R.sqr 0.0940 Precision (Temporal) 27,300     [3620, 90200]
Adj.R2.to.R2 0.849  phi      0.461 [0.0396, 0.942]
Pred.R2.to.R2 0.528  rho (Spatial)      0.299 [-0.953, 0.994]
PRESS 4.94   rho (Temporal)      0.415 [-0.634, 0.964]
DIC    −13.3  
DIC, Saturated     −1.28 
Marginal Likelihood     54.7  
S19a. OLS and Bayesian Regressions for the Senegal FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.101   0.0175   5.78 <0.001  0.104   [0.0488, 0.158]
Accessibility mean*  0.486   0.0818   5.94 <0.001  0.461   [0.277, 0.644]
Infact Mortality Rate mean −0.0914  0.0160  −5.71 <0.001 −0.0885  [-0.124, -0.0533]
Underweight Children mean  0.00892 0.00290  3.08 0.002  0.00857 [0.00204, 0.0151]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.138 Precision (Gaussian)     11.9   [11, 12.9]
Adj.R.sqr  0.129 Precision (Spatial)    284     [43.1, 1040]
Pred.R.sqr  0.117 Precision (Temporal) 33,000     [4820, 108000]
Adj.R2.to.R2  0.934 phi      0.321 [0.0127, 0.897]
Pred.R2.to.R2  0.851 rho (Spatial)      0.322 [-0.943, 0.988]
PRESS 25.7   rho (Temporal)      0.771 [0.211, 0.977]
DIC    117    
DIC, Saturated    175    
Marginal Likelihood     59.5  
S19b. OLS and Bayesian Regressions for the Senegal TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.101  0.0187  5.39 <0.001  0.100  [0.031, 0.17]
Accessibility mean*  0.490  0.0955  5.13 <0.001  0.470  [0.202, 0.738]
Infact Mortality Rate max −0.0619 0.0134 −4.61 <0.001 −0.0573 [-0.0998, -0.0144]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.0870 Precision (Gaussian)     9.83  [9.15, 10.6]
Adj.R.sqr  0.0810 Precision (Spatial)    62.0   [25.3, 119]
Pred.R.sqr  0.0690 Precision (Temporal) 7,380     [721, 30400]
Adj.R2.to.R2  0.932  phi     0.158 [0.00261, 0.682]
Pred.R2.to.R2  0.795  rho (Spatial)     0.639 [-0.735, 0.998]
PRESS 34.4    rho (Temporal)     0.635 [-0.78, 0.998]
DIC   184    
DIC, Saturated   247    
Marginal Likelihood    22.9  
S20a. OLS and Bayesian Regressions for the South Africa FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0532  0.0164   3.24  0.001  0.0478  [0.00633, 0.089]
School Holidays days  0.00558 0.00185  3.01  0.003  0.00534 [0.00275, 0.00792]
Total Runoff max −0.0440  0.0123  −3.58  <0.001 −0.0426  [-0.0612, -0.0241]
LAI High Vegetation max −0.104   0.0613  −1.70  0.090 −0.0862  [-0.208, 0.0346]
Wind U (Eastward) max −0.0171  0.0188  −0.905 0.367 −0.0243  [-0.0526, 0.00385]
LAI High Vegetation x Wind U (Eastward) max, max −0.310   0.0597  −5.18  <0.001 −0.249   [-0.345, -0.152]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared 0.189 Precision (Gaussian)     32.7    [28.7, 37.1]
Adj.R.sqr 0.167 Precision (Spatial)  2,690      [182, 12100]
Pred.R.sqr 0.130 Precision (Temporal) 25,800      [2890, 91300]
Adj.R2.to.R2 0.884 phi      0.439  [0.0347, 0.94]
Pred.R2.to.R2 0.688 rho (Spatial)      0.675  [0.163, 0.936]
PRESS 6.87  rho (Temporal)     −0.0440 [-0.93, 0.914]
DIC   −103     
DIC, Saturated   −100     
Marginal Likelihood    136     
S20b. OLS and Bayesian Regressions for the South Africa TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept) −0.0122  0.0152  −0.808 0.420 −0.0103  [-0.0731, 0.0529]
School Holidays days  0.00705 0.00202  3.49  <0.001  0.00767 [0.00495, 0.0104]
Skin Reservoir Content mean −1.64    0.622   −2.64  0.009 −2.38    [-3.36, -1.4]
LAI Low Vegetation max  0.0189  0.0429   0.440 0.661  0.0361  [-0.0726, 0.145]
Wind U (Eastward) max −0.0618  0.0171  −3.61  <0.001 −0.0677  [-0.0987, -0.0367]
LAI Low Vegetation x Wind U (Eastward) max, max −0.118   0.0327  −3.61  <0.001 −0.105   [-0.159, -0.0513]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared 0.150  Precision (Gaussian)     31.4   [28.7, 34.2]
Adj.R.sqr 0.127  Precision (Spatial)    130     [49.6, 271]
Pred.R.sqr 0.0990 Precision (Temporal) 37,200     [10200, 102000]
Adj.R2.to.R2 0.847  phi      0.336 [0.0718, 0.741]
Pred.R2.to.R2 0.661  rho (Spatial)      0.728 [0.247, 0.939]
PRESS 7.64   rho (Temporal)      0.722 [-0.0568, 0.977]
DIC    −96.2  
DIC, Saturated    −93.5  
Marginal Likelihood    134    
S21a. OLS and Bayesian Regressions for the Tanzania FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0442  0.0118   3.73 <0.001  0.0267  [-0.137, 0.172]
Urban Extent sum*  0.121   0.0220   5.52 <0.001  0.121   [0.0586, 0.183]
2m Dewpoint Temperature max −0.0278  0.00499 −5.57 <0.001 −0.0224  [-0.0326, -0.0122]
No Primary Education, Female max −0.00553 0.00184 −3.00 0.003 −0.00658 [-0.0117, -0.0015]
Underweight Children max  0.00448 0.00170  2.64 0.008  0.00415 [-0.000214, 0.0085]
Surface Pressure mean  0.0182  0.00296  6.16 <0.001  0.0177  [0.0107, 0.0247]
Mean GDP Per Capita mean* −0.0705  0.0327  −2.16 0.031 −0.0774  [-0.166, 0.0111]
Surface Pressure x Mean GDP Per Capita mean, mean* −0.0312  0.00619 −5.05 <0.001 −0.0307  [-0.0468, -0.0146]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.171 Precision (Gaussian)  16.1   [15.5, 16.8]
Adj.R.sqr  0.162 Precision (Spatial) 125     [70.2, 184]
Pred.R.sqr  0.151 Precision (Temporal) 124     [32.4, 293]
Adj.R2.to.R2  0.949 phi   0.112 [0.0217, 0.375]
Pred.R2.to.R2  0.881 rho (Spatial)   0.644 [-0.524, 0.982]
PRESS 54.4   rho (Temporal)   0.880 [0.727, 0.972]
DIC  77.4  
DIC, Saturated 106    
Marginal Likelihood 228    
S21b. OLS and Bayesian Regressions for the Tanzania TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.00574 0.0164   0.350 0.727 −0.0178  [-0.119, 0.0811]
Underweight Children mean  0.00681 0.00149  4.58  <0.001  0.00668 [0.00278, 0.0106]
Urban Extent sum*  0.253   0.0377   6.70  <0.001  0.272   [0.179, 0.365]
Urban Extent prop* −0.00376 0.00102 −3.69  <0.001 −0.00433 [-0.00686, -0.0018]
No Primary Education, Female max −0.00907 0.00201 −4.51  <0.001 −0.00949 [-0.0158, -0.00324]
2m Dewpoint Temperature max −0.0461  0.00752 −6.13  <0.001 −0.0348  [-0.0478, -0.0218]
Evaporation max  0.0443  0.0136   3.25  0.001  0.0345  [0.0133, 0.0556]
Surface Pressure mean  0.0149  0.00341  4.37  <0.001  0.0137  [0.00547, 0.0219]
2m Dewpoint Temperature x Evaporation max, max −0.0172  0.00473 −3.63  <0.001 −0.0127  [-0.0191, -0.00643]
2m Dewpoint Temperature x Surface Pressure max, mean  0.00458 0.00153  3.00  0.003  0.00462 [0.00248, 0.00677]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.135 Precision (Gaussian)  15.4    [14.8, 16.2]
Adj.R.sqr  0.123 Precision (Spatial) 108      [38.2, 213]
Pred.R.sqr  0.109 Precision (Temporal) 218      [61.9, 580]
Adj.R2.to.R2  0.916 phi   0.0673 [0.0163, 0.154]
Pred.R2.to.R2  0.811 rho (Spatial)   0.658  [-0.663, 0.997]
PRESS 56.3   rho (Temporal)   0.801  [0.456, 0.952]
DIC 112     
DIC, Saturated 130     
Marginal Likelihood 206     
S22a. OLS and Bayesian Regressions for the Togo FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept) 0.0571 0.0316 1.81 0.074 0.0590 [-0.059, 0.177]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0      Precision (Gaussian)     11.5    [9.58, 13.7]
Adj.R.sqr  0      Precision (Spatial)    166      [10.8, 794]
Pred.R.sqr −0.0210 Precision (Temporal) 24,900      [1580, 111000]
Adj.R2.to.R2 phi      0.376  [0.038, 0.866]
Pred.R2.to.R2 −Inf rho (Spatial)     −0.109  [-0.978, 0.972]
PRESS  9.32   rho (Temporal)     −0.0403 [-0.986, 0.984]
DIC     47.5   
DIC, Saturated     58.5   
Marginal Likelihood     16.4   
S22b. OLS and Bayesian Regressions for the Togo TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept) 0.0784 0.0306 2.56 0.012 0.0795 [-0.015, 0.175]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0      Precision (Gaussian)     11.8    [9.86, 14.1]
Adj.R.sqr  0      Precision (Spatial)  2,290      [17, 15400]
Pred.R.sqr −0.0210 Precision (Temporal) 36,600      [3310, 156000]
Adj.R2.to.R2 phi      0.376  [0.0179, 0.936]
Pred.R2.to.R2 −Inf rho (Spatial)     −0.186  [-0.978, 0.943]
PRESS  8.74   rho (Temporal)      0.0490 [-0.984, 0.988]
DIC     45.6   
DIC, Saturated     60.6   
Marginal Likelihood     19.5   
S23a. OLS and Bayesian Regressions for the Uganda FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0913  0.0116   7.85 <0.001  0.0912  [-0.0159, 0.198]
2m Surface Temperature mean −0.0388  0.00740 −5.24 <0.001 −0.0344  [-0.0474, -0.0214]
Surface Pressure mean  0.0163  0.00668  2.44 0.015  0.0135  [-0.00143, 0.0284]
Mean GDP Per Capita mean*  0.0593  0.0227   2.61 0.009  0.0577  [-0.00766, 0.123]
Secondary Education, Female max  0.00484 0.00148  3.26 0.001  0.00506 [0.000999, 0.00912]
Infact Mortality Rate mean  0.0555  0.0117   4.72 <0.001  0.0556  [0.0233, 0.0878]
No Primary Education, Male max  0.00975 0.00367  2.66 0.008  0.00961 [-0.000641, 0.0199]
Infact Mortality Rate x No Primary Education, Male mean, max −0.00504 0.00244 −2.06 0.039 −0.00554 [-0.0125, 0.00136]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared   0.0620 Precision (Gaussian)     8.96   [8.66, 9.26]
Adj.R.sqr   0.0570 Precision (Spatial)    49.4    [36.4, 66.1]
Pred.R.sqr   0.0500 Precision (Temporal)   307      [50.6, 952]
Adj.R2.to.R2   0.914  phi     0.121  [0.00435, 0.559]
Pred.R2.to.R2   0.799  rho (Spatial)     0.0408 [-0.985, 0.994]
PRESS 163      rho (Temporal)     0.863  [0.539, 0.986]
DIC   855     
DIC, Saturated 1,050     
Marginal Likelihood    61.9   
S23b. OLS and Bayesian Regressions for the Uganda TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0729  0.0165   4.41 <0.001  0.0737  [-0.033, 0.183]
Evaporation mean  0.0415  0.0156   2.66 0.008  0.0365  [0.0109, 0.062]
Wind V (Northward) mean −0.0780  0.0179  −4.35 <0.001 −0.0592  [-0.0889, -0.0294]
No Primary Education, Female mean −0.0140  0.00484 −2.89 0.004 −0.0114  [-0.0226, -0.000241]
Urban Extent prop* −0.00419 0.00134 −3.13 0.002 −0.00370 [-0.00687, -0.000528]
Infact Mortality Rate mean  0.132   0.0211   6.25 <0.001  0.128   [0.0774, 0.178]
Mean GDP Per Capita mean* −0.107   0.0336  −3.18 0.002 −0.102   [-0.19, -0.0141]
Underweight Children mean −0.0251  0.00527 −4.76 <0.001 −0.0249  [-0.0384, -0.0114]
Wind U (Eastward) max −0.0706  0.0334  −2.12 0.035 −0.0435  [-0.0974, 0.0103]
Surface Pressure max  0.0642  0.0108   5.96 <0.001  0.0619  [0.0356, 0.0882]
Urban Extent sum*  0.166   0.0292   5.70 <0.001  0.164   [0.099, 0.229]
Mean GDP Per Capita x Surface Pressure mean*, max −0.0569  0.0125  −4.57 <0.001 −0.0587  [-0.0906, -0.0268]
Underweight Children x Wind U (Eastward) mean, max  0.0643  0.0142   4.53 <0.001  0.0411  [0.0216, 0.0606]
Infact Mortality Rate x Wind U (Eastward) mean, max −0.140   0.0490  −2.87 0.004 −0.108   [-0.176, -0.0408]
Underweight Children x Urban Extent mean, sum*  0.0180  0.00499  3.61 <0.001  0.0191  [0.00684, 0.0314]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared   0.135 Precision (Gaussian)   9.89   [9.56, 10.2]
Adj.R.sqr   0.123 Precision (Spatial)  57.2    [37.1, 86.1]
Pred.R.sqr   0.108 Precision (Temporal) 450      [61.7, 1630]
Adj.R2.to.R2   0.912 phi   0.108  [0.00288, 0.498]
Pred.R2.to.R2   0.799 rho (Spatial)  −0.0207 [-0.98, 0.987]
PRESS 137     rho (Temporal)   0.775  [0.153, 0.983]
DIC 701     
DIC, Saturated 835     
Marginal Likelihood 140     
S24a. OLS and Bayesian Regressions for the Zambia FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.131  0.0205  6.36 <0.001  0.131  [0.0464, 0.214]
Infact Mortality Rate mean −0.0483 0.0150 −3.21 0.002 −0.0483 [-0.0947, -0.00232]
No Primary Education, Male mean  0.0846 0.0190  4.46 <0.001  0.0834 [0.0299, 0.137]
Mean GDP Per Capita mean*  0.865  0.149   5.79 <0.001  0.846  [0.385, 1.3]
Skin Reservoir Content max −0.758  0.157  −4.84 <0.001 −0.800  [-1.02, -0.582]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.196 Precision (Gaussian)     12.1   [11, 13.3]
Adj.R.sqr  0.181 Precision (Spatial)    119     [18.4, 419]
Pred.R.sqr  0.157 Precision (Temporal) 23,100     [2090, 83300]
Adj.R2.to.R2  0.922 phi      0.327 [0.0153, 0.887]
Pred.R2.to.R2  0.799 rho (Spatial)      0.459 [-0.874, 0.991]
PRESS 20.1   rho (Temporal)      0.404 [-0.712, 0.975]
DIC     86.7  
DIC, Saturated    143    
Marginal Likelihood     46.6  
S24b. OLS and Bayesian Regressions for the Zambia TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.143   0.0222   6.43 <0.001  0.146   [0.0192, 0.271]
No Primary Education, Female mean  0.0311  0.00737  4.22 <0.001  0.0474  [0.0033, 0.0933]
No Primary Education, Male mean −0.0534  0.0167  −3.19 0.002 −0.0726  [-0.148, 0.00289]
Urban Extent prop* −0.00279 0.00134 −2.09 0.038 −0.00384 [-0.00994, 0.00224]
Skin Reservoir Content max −0.700   0.173   −4.05 <0.001 −0.797   [-1.01, -0.586]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.134  Precision (Gaussian)     13.6   [12.3, 15.1]
Adj.R.sqr  0.118  Precision (Spatial)     28.0   [6.04, 72.9]
Pred.R.sqr  0.0960 Precision (Temporal) 16,300     [967, 74200]
Adj.R2.to.R2  0.878  phi      0.447 [0.0251, 0.964]
Pred.R2.to.R2  0.712  rho (Spatial)      0.458 [-0.899, 0.99]
PRESS 23.5    rho (Temporal)      0.338 [-0.91, 0.991]
DIC     62.4  
DIC, Saturated    124    
Marginal Likelihood     55.5  
S25a. OLS and Bayesian Regressions for the Zimbabwe FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0506 0.0200  2.53 0.012  0.0424 [-0.0763, 0.155]
Accessibility mean*  0.372  0.0636  5.85 <0.001  0.383  [0.201, 0.566]
No Primary Education, Male mean −0.0836 0.0259 −3.23 0.001 −0.0884 [-0.157, -0.0199]
Underweight Children mean  0.0539 0.0127  4.24 <0.001  0.0599 [0.0271, 0.0933]
LAI High Vegetation max −0.247  0.0537 −4.59 <0.001 −0.279  [-0.423, -0.139]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.248 Precision (Gaussian)  13.0   [11.7, 14.4]
Adj.R.sqr  0.234 Precision (Spatial) 184     [17.7, 767]
Pred.R.sqr  0.211 Precision (Temporal) 231     [36.9, 761]
Adj.R2.to.R2  0.943 phi   0.148 [0.00497, 0.629]
Pred.R2.to.R2  0.848 rho (Spatial)   0.503 [-0.861, 0.991]
PRESS 19.2   rho (Temporal)   0.704 [0.158, 0.954]
DIC  77.0  
DIC, Saturated  98.9  
Marginal Likelihood  50.7  
S25b. OLS and Bayesian Regressions for the Zimbabwe TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0255  0.0173    1.47 0.143  0.0245  [-0.0165, 0.0653]
Infact Mortality Rate mean −0.0572  0.00985  −5.80 <0.001 −0.0591  [-0.0794, -0.039]
Urban Extent prop* −0.00583 0.000698 −8.34 <0.001 −0.00590 [-0.00735, -0.00447]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.282 Precision (Gaussian)    16.1    [14.6, 17.6]
Adj.R.sqr  0.275 Precision (Spatial) 1,560      [711, 3760]
Pred.R.sqr  0.253 Precision (Temporal) 9,270      [467, 29400]
Adj.R2.to.R2  0.976 phi     0.400  [0.0204, 0.94]
Pred.R2.to.R2  0.898 rho (Spatial)     0.664  [-0.389, 0.992]
PRESS 14.4   rho (Temporal)    −0.0891 [-0.999, 0.985]
DIC    23.5   
DIC, Saturated    34.6   
Marginal Likelihood    82.5   

Regional Level OLS and Bayesian Models

All tables of regional-level model outputs are ordered north to south.

S26a. OLS and Bayesian Regressions for the Northern Region FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0547  0.0110  4.98  <0.001 −0.0933  [-0.345, 0.16]
2m Surface Temperature max  0.0440  0.0109  4.05  <0.001  0.0447  [0.0199, 0.0693]
Mean GDP Per Capita mean*  0.0205  0.0111  1.85  0.065  0.0230  [-0.0155, 0.0614]
Infact Mortality Rate max  0.0238  0.0133  1.78  0.075  0.00768 [-0.0413, 0.0566]
Secondary Education, Female mean −0.00218 0.0140 −0.156 0.876 −0.0141  [-0.0824, 0.0542]
Mean GDP Per Capita x Infact Mortality Rate mean*, max −0.101   0.0143 −7.05  <0.001 −0.0866  [-0.13, -0.0428]
Mean GDP Per Capita x Secondary Education, Female mean*, mean −0.0743  0.0166 −4.47  <0.001 −0.0675  [-0.119, -0.0158]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared   0.0710 Precision (Gaussian)    13.2   [12.4, 14.2]
Adj.R.sqr   0.0660 Precision (Spatial) 2,130     [5.17, 14500]
Pred.R.sqr   0.0580 Precision (Temporal)     0.218 [0.00634, 0.803]
Adj.R2.to.R2   0.930  phi   341     [3.44, 2290]
Pred.R2.to.R2   0.826  rho (Spatial)     0.396 [-0.583, 0.952]
PRESS 141      rho (Temporal)   104     [37.7, 229]
DIC   508    
DIC, Saturated   586    
Marginal Likelihood   531    
S26b. OLS and Bayesian Regressions for the Northern Region TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0355  0.0119  2.99  0.003  0.0438  [-0.251, 0.337]
No Primary Education, Female mean −0.0160  0.0141 −1.14  0.256 −0.00110 [-0.0865, 0.113]
Precipitation sum* −0.0658  0.0149 −4.40  <0.001 −0.0446  [-0.0698, -0.0194]
Urban Extent prop* −0.0711  0.0129 −5.49  <0.001 −0.0627  [-0.098, -0.0273]
Surface Pressure max −0.0504  0.0114 −4.40  <0.001 −0.0408  [-0.0739, -0.00752]
VIIRS Night-time Lights max*  0.0921  0.0118  7.80  <0.001  0.0531  [0.0265, 0.0794]
Infact Mortality Rate max  0.00386 0.0122  0.316 0.752 −0.0101  [-0.0587, 0.0385]
No Primary Education, Female x Infact Mortality Rate mean, max  0.0874  0.0133  6.58  <0.001  0.0790  [0.03, 0.128]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared   0.122 Precision (Gaussian)     15.8   [14.3, 17.2]
Adj.R.sqr   0.117 Precision (Spatial)  1,620     [34.7, 10200]
Pred.R.sqr   0.108 Precision (Temporal)      0.188 [0.00315, 0.772]
Adj.R2.to.R2   0.958 phi    677     [4.62, 4570]
Pred.R2.to.R2   0.884 rho (Spatial)      0.642 [0.0133, 0.96]
PRESS 161     rho (Temporal) 22,300     [249, 141000]
DIC    488    
DIC, Saturated    660    
Marginal Likelihood    388    
S27a. OLS and Bayesian Regressions for the Central Region FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept) −0.0945 0.0218  −4.34 <0.001 −0.125  [-0.328, 0.0885]
LAI Low Vegetation mean  0.126  0.0196   6.43 <0.001  0.114  [0.0554, 0.173]
Infact Mortality Rate mean −0.250  0.0245 −10.2  <0.001 −0.212  [-0.294, -0.124]
No Primary Education, Male mean  0.119  0.0220   5.42 <0.001  0.104  [0.0403, 0.168]
Urban Extent sum* −0.0702 0.0270  −2.60 0.010 −0.0899 [-0.168, -0.0118]
LAI Low Vegetation max −0.187  0.0250  −7.49 <0.001 −0.185  [-0.247, -0.124]
Accessibility max*  0.118  0.0250   4.73 <0.001  0.106  [0.0359, 0.176]
Secondary Education, Female max  0.0695 0.0227   3.07 0.002  0.0629 [-0.00217, 0.128]
Infact Mortality Rate x Urban Extent mean, sum* −0.167  0.0244  −6.84 <0.001 −0.182  [-0.253, -0.112]
No Primary Education, Male x Secondary Education, Female mean, max −0.293  0.0278 −10.5  <0.001 −0.300  [-0.381, -0.219]
LAI Low Vegetation x Urban Extent mean, sum* −0.131  0.0184  −7.10 <0.001 −0.134  [-0.184, -0.0855]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.226 Precision (Gaussian)     11.6   [10.7, 12.5]
Adj.R.sqr  0.214 Precision (Spatial) 14,300     [1320, 58300]
Pred.R.sqr  0.202 Precision (Temporal)      0.452 [0.0373, 0.922]
Adj.R2.to.R2  0.950 phi  1,330     [6.21, 8970]
Pred.R2.to.R2  0.895 rho (Spatial)      0.705 [-0.453, 0.993]
PRESS 99.8   rho (Temporal) 75,100     [217, 471000]
DIC    439    
DIC, Saturated    527    
Marginal Likelihood    206    
S27b. OLS and Bayesian Regressions for the Central Region TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0414 0.0176  2.36 0.019  0.0207 [-0.275, 0.317]
2m Surface Temperature mean  0.217  0.0383  5.68 <0.001  0.150  [0.0871, 0.212]
VIIRS Night-time Lights mean* −0.134  0.0417 −3.21 0.001 −0.0128 [-0.0922, 0.0666]
No Primary Education, Male mean  0.0659 0.0252  2.61 0.009  0.0705 [0.00143, 0.14]
Secondary Education, Female mean −0.208  0.0366 −5.67 <0.001 −0.191  [-0.295, -0.0877]
Urban Extent sum*  0.0765 0.0214  3.57 <0.001  0.0732 [-0.00191, 0.149]
2m Surface Temperature max −0.184  0.0350 −5.27 <0.001 −0.134  [-0.191, -0.0766]
LAI High Vegetation max −0.0882 0.0181 −4.88 <0.001 −0.0722 [-0.115, -0.029]
Underweight Children max −0.276  0.0367 −7.52 <0.001 −0.210  [-0.305, -0.115]
Urban Extent x LAI High Vegetation sum*, max  0.111  0.0233  4.75 <0.001  0.0764 [0.0311, 0.122]
No Primary Education, Male x LAI High Vegetation mean, max  0.110  0.0249  4.43 <0.001  0.0653 [0.00694, 0.123]
VIIRS Night-time Lights x Underweight Children mean*, max −0.318  0.0683 −4.66 <0.001 −0.106  [-0.211, 0.000318]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.191 Precision (Gaussian)    10.2   [9.61, 10.8]
Adj.R.sqr  0.178 Precision (Spatial) 1,250     [4.57, 8180]
Pred.R.sqr  0.162 Precision (Temporal)     0.120 [0.00035, 0.692]
Adj.R2.to.R2  0.932 phi   349     [3.36, 2340]
Pred.R2.to.R2  0.847 rho (Spatial)     0.822 [0.308, 0.99]
PRESS 97.1   rho (Temporal)   148     [28.9, 477]
DIC   481    
DIC, Saturated   588    
Marginal Likelihood   149    
S28a. OLS and Bayesian Regressions for the Western Region FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0263 0.00728  3.61 <0.001 −0.450  [-2.36, 1.46]
School Holidays days  0.0244 0.00617  3.95 <0.001  0.0174 [0.00372, 0.031]
Infact Mortality Rate mean  0.0321 0.00815  3.94 <0.001  0.0294 [-0.0015, 0.0602]
Surface Pressure max  0.0622 0.00780  7.98 <0.001  0.0546 [0.0247, 0.0845]
Accessibility max* −0.0235 0.00757 −3.10 0.002 −0.0176 [-0.0437, 0.00849]
VIIRS Night-time Lights mean* −0.0644 0.00867 −7.43 <0.001 −0.0441 [-0.0698, -0.0184]
Infact Mortality Rate x Surface Pressure mean, max −0.0547 0.00754 −7.26 <0.001 −0.0434 [-0.0695, -0.0172]
Surface Pressure x Accessibility max, max*  0.0484 0.00722  6.71 <0.001  0.0430 [0.0201, 0.0658]
Surface Pressure x VIIRS Night-time Lights max, mean*  0.0416 0.00803  5.18 <0.001  0.0319 [0.00875, 0.0551]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared   0.0550 Precision (Gaussian)     18.4   [17.7, 19]
Adj.R.sqr   0.0520 Precision (Spatial) 13,000     [1.95, 71700]
Pred.R.sqr   0.0450 Precision (Temporal)      0.179 [0.00225, 0.797]
Adj.R2.to.R2   0.948  phi    155     [23.9, 593]
Pred.R2.to.R2   0.829  rho (Spatial)      0.677 [-0.937, 1]
PRESS 265      rho (Temporal)     97.7   [49.3, 182]
DIC    348    
DIC, Saturated    645    
Marginal Likelihood  1,020    
S28b. OLS and Bayesian Regressions for the Western Region TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0503  0.00705  7.12  <0.001 −0.179   [-0.864, 0.502]
Evaporation mean  0.0291  0.00702  4.14  <0.001  0.0118  [-0.00294, 0.0266]
No Primary Education, Female mean −0.0469  0.00919 −5.10  <0.001 −0.0207  [-0.0571, 0.0159]
Secondary Education, Female mean −0.0530  0.00977 −5.42  <0.001 −0.0391  [-0.0764, -0.00175]
Infact Mortality Rate mean  0.00629 0.00750  0.838 0.402  0.0143  [-0.0146, 0.0434]
Surface Pressure max  0.0512  0.00892  5.74  <0.001  0.0427  [0.0106, 0.0747]
Infact Mortality Rate x Surface Pressure mean, max −0.0215  0.00659 −3.27  0.001 −0.00981 [-0.0331, 0.0135]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared   0.0230 Precision (Gaussian)                          21.0    [20.4, 470]
Adj.R.sqr   0.0210 Precision (Spatial) 863,000,000,000,000,000,000      [143, 3.02e+42]
Pred.R.sqr   0.0180 Precision (Temporal)                           0.0783 [0.0487, 1]
Adj.R2.to.R2   0.902  phi                          81.9    [60.5, 97.6]
Pred.R2.to.R2   0.772  rho (Spatial)                           0.980  [0.913, 1]
PRESS 267      rho (Temporal)                          85.2    [76.7, 5440000]
DIC                         142     
DIC, Saturated                         468     
Marginal Likelihood                       1,070     
S29a. OLS and Bayesian Regressions for the Eastern Region FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0968  0.00701 13.8   <0.001 −0.361   [-1.41, 0.697]
School Holidays days  0.0232  0.00516  4.49  <0.001  0.0199  [0.0122, 0.0275]
VIIRS Night-time Lights mean*  0.0288  0.00832  3.47  <0.001  0.0322  [0.01, 0.0545]
No Primary Education, Female mean  0.0721  0.0142   5.10  <0.001  0.0906  [0.0339, 0.147]
No Primary Education, Male mean −0.0899  0.0146  −6.14  <0.001 −0.0925  [-0.152, -0.0327]
Secondary Education, Female mean −0.0551  0.0152  −3.63  <0.001 −0.0492  [-0.0996, 0.0011]
Secondary Education, Female max  0.0557  0.0121   4.61  <0.001  0.0492  [0.00578, 0.0926]
LAI High Vegetation mean  0.0750  0.00889  8.44  <0.001  0.0571  [0.028, 0.0862]
Accessibility max*  0.0266  0.00876  3.04  0.002  0.0362  [0.00508, 0.0673]
LAI High Vegetation max −0.0593  0.00849 −6.98  <0.001 −0.0394  [-0.0683, -0.0104]
Skin Reservoir Content sum*  0.00709 0.00789  0.899 0.369  0.00130 [-0.0135, 0.0161]
LAI High Vegetation x Accessibility mean, max*  0.0270  0.00501  5.39  <0.001  0.0228  [0.00469, 0.0408]
LAI High Vegetation x LAI High Vegetation mean, max −0.0162  0.00538 −3.01  0.003 −0.00713 [-0.0235, 0.00921]
Accessibility x Skin Reservoir Content max, sum −0.0491  0.00719 −6.83  <0.001 −0.0190  [-0.0314, -0.00668]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared   0.0680 Precision (Gaussian)    22.8   [22.2, 23.3]
Adj.R.sqr   0.0650 Precision (Spatial) 4,730     [0.556, 33400]
Pred.R.sqr   0.0610 Precision (Temporal)     0.141 [0.000861, 0.71]
Adj.R2.to.R2   0.953  phi   411     [17.7, 2370]
Pred.R2.to.R2   0.900  rho (Spatial)     0.647 [-0.951, 0.999]
PRESS 374      rho (Temporal)   148     [75.9, 279]
DIC  −120    
DIC, Saturated   310    
Marginal Likelihood 1,800    
S29b. OLS and Bayesian Regressions for the Eastern Region TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0671  0.00603 11.1   <0.001 −0.216    [-0.34, -0.0914]
School Holidays days  0.0259  0.00501  5.16  <0.001  0.0142   [0.00647, 0.0219]
2m Dewpoint Temperature mean  0.0559  0.00968  5.78  <0.001  0.0213   [0.00213, 0.0404]
2m Surface Temperature mean −0.0267  0.00813 −3.28  0.001  0.00349  [-0.0138, 0.0208]
LAI High Vegetation mean  0.0395  0.00824  4.80  <0.001  0.0361   [0.0107, 0.0615]
VIIRS Night-time Lights mean*  0.0567  0.0119   4.78  <0.001  0.0480   [0.0227, 0.0732]
Secondary Education, Female max  0.0401  0.00631  6.35  <0.001  0.0407   [0.0148, 0.0666]
Precipitation sum* −0.0384  0.0111  −3.45  <0.001 −0.0288   [-0.0464, -0.0112]
Accessibility max*  0.0581  0.00922  6.30  <0.001  0.0463   [0.0175, 0.075]
Total Runoff mean  0.0283  0.0101   2.80  0.005  0.0185   [0.00523, 0.0319]
Urban Extent sum*  0.00568 0.00923  0.615 0.538  0.00807  [-0.0192, 0.0353]
Urban Extent prop* −0.0474  0.0142  −3.34  <0.001 −0.0539   [-0.0888, -0.0189]
Precipitation mean −0.0196  0.0123  −1.59  0.113 −0.00821  [-0.0233, 0.00688]
LAI High Vegetation max −0.0348  0.00794 −4.39  <0.001 −0.0272   [-0.0537, -0.000617]
Precipitation x Accessibility sum, max −0.0483  0.00677 −7.14  <0.001 −0.0186   [-0.0294, -0.00774]
Total Runoff x Urban Extent mean, sum* −0.0774  0.0155  −5.01  <0.001 −0.0449   [-0.0639, -0.0259]
Total Runoff x Urban Extent mean, prop*  0.0990  0.0243   4.08  <0.001  0.0518   [0.0239, 0.0796]
Urban Extent x Precipitation sum*, mean  0.0507  0.0107   4.72  <0.001  0.0359   [0.0222, 0.0495]
Urban Extent x Precipitation prop*, mean −0.0516  0.0118  −4.36  <0.001 −0.0363   [-0.049, -0.0235]
Precipitation x Urban Extent sum, sum −0.0263  0.00650 −4.05  <0.001 −0.0165   [-0.029, -0.0041]
Precipitation x LAI High Vegetation sum*, max  0.0207  0.00585  3.55  <0.001  0.000587 [-0.00831, 0.00948]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared   0.0790 Precision (Gaussian)     22.6   [22.1, 23]
Adj.R.sqr   0.0740 Precision (Spatial) 12,200     [113, 71600]
Pred.R.sqr   0.0680 Precision (Temporal)      0.252 [0.0101, 0.788]
Adj.R2.to.R2   0.938  phi    502     [21.4, 2700]
Pred.R2.to.R2   0.859  rho (Spatial)     −0.539 [-0.748, -0.21]
PRESS 345      rho (Temporal)    108     [56.9, 192]
DIC   −203    
DIC, Saturated    127    
Marginal Likelihood  1,850    
S30a. OLS and Bayesian Regressions for the Southern Region FR Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0701  0.0112  6.25  <0.001 −0.125  [-0.302, 0.053]
2m Dewpoint Temperature mean −0.0355  0.0127 −2.81  0.005 −0.0249 [-0.044, -0.00575]
Accessibility mean* −0.0656  0.0121 −5.43  <0.001 −0.0622 [-0.104, -0.02]
Urban Extent sum* −0.0658  0.0222 −2.96  0.003 −0.104  [-0.18, -0.029]
LAI Low Vegetation max  0.0465  0.0142  3.28  0.001  0.0388 [-0.00369, 0.0808]
Secondary Education, Female max  0.00988 0.0199  0.496 0.620  0.0253 [-0.0383, 0.0886]
LAI Low Vegetation x Secondary Education, Female max, max −0.0359  0.0120 −2.99  0.003 −0.0279 [-0.0638, 0.00817]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.0650 Precision (Gaussian)          21.9   [20.1, 23.9]
Adj.R.sqr  0.0570 Precision (Spatial)       3,240     [92, 20700]
Pred.R.sqr  0.0460 Precision (Temporal)           0.208 [0.00408, 0.783]
Adj.R2.to.R2  0.883  phi         731     [3.85, 5020]
Pred.R2.to.R2  0.715  rho (Spatial)           0.842 [-0.237, 1]
PRESS 65.0    rho (Temporal) 356,000,000     [747, 81300000]
DIC          17.2  
DIC, Saturated         108    
Marginal Likelihood         465    
S30b. OLS and Bayesian Regressions for the Southern Region TO Model
Parameters (Fixed) Statistic1
OLS Regression Model
Bayesian Model
Estimate Error t-Value p-Value Mean 95%CI
(Intercept)  0.0845 0.0106   7.99  <0.001  0.0675 [-0.119, 0.253]
Accessibility mean* −0.0469 0.0121  −3.88  <0.001 −0.0773 [-0.117, -0.0373]
Infact Mortality Rate mean  0.0779 0.0136   5.73  <0.001  0.109  [0.061, 0.156]
Mean GDP Per Capita max*  0.0373 0.0139   2.68  0.007  0.0431 [-0.00239, 0.0885]
LAI High Vegetation mean  0.0521 0.0110   4.75  <0.001  0.0521 [0.0147, 0.0891]
Urban Extent sum*  0.0143 0.0155   0.919 0.358  0.0277 [-0.0227, 0.0781]
LAI High Vegetation x Urban Extent mean, sum* −0.0827 0.00944 −8.76  <0.001 −0.0706 [-0.101, -0.0395]
1 Statistics denoted by asterisk (*) are log10 transformed zonal statistics.
OLS Performance
Bayesian Hyperparameters and Performance
Metric Value Hyperparameter Mean 95%CI
R.squared  0.129 Precision (Gaussian)    17.7   [16.7, 18.6]
Adj.R.sqr  0.123 Precision (Spatial) 2,460     [23.7, 16500]
Pred.R.sqr  0.112 Precision (Temporal)     0.208 [0.00386, 0.823]
Adj.R2.to.R2  0.948 phi   205     [3.73, 1250]
Pred.R2.to.R2  0.863 rho (Spatial)     0.722 [-0.0131, 0.983]
PRESS 62.9   rho (Temporal)   385     [69.8, 1450]
DIC    91.0  
DIC, Saturated   181    
Marginal Likelihood   498