## 2 Materials and Methods
### Topographic Features and Rainfall Effects on Performance

Table 10: ANOVA test of GWR improvements over OLS for each agarian zone: zone II in the northern Montana region, zone V in the Media region, and zone VI in the Ribera Alta Southern region. GWR: geographically weighted regression and OLS: ordinary least squares. F refers to the F-test value. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Zone II** & \multicolumn{4}{c}{**OLS**} & \multicolumn{2}{c}{**GWR**} \\
**Variable** & **Estimate** & **SE** & **t (Est/SE)** & _p-value_ & **Mean Coeff.** & **SE** \\ \hline Intercept & 4103.53 & 546.3 & 7.51 & 0.00 & 2984.72 * & 393.62 \\ Rainfall & 0.91 & 0.73 & 1.25 & 0.00 & 13.87 * & 5.47 \\ Slope & \(-\)7.03 & 6.5 & \(-\)1.08 & 0.07 & \(-\)14.45 * & 78.07 \\ Altitude & \(-\)3.02 & 0.47 & \(-\)6.43 & 0.00 & 0.69 * & 1.03 \\ Aspect & \(-\)0.7 & 0.33 & 2.12 & 0.14 & 0.14 * & 1.65 \\ \hline R-squared & & & 0.07 & & 0.29 & \\ Adj & & & 0.05 & & 0.20 & \\ R-Squared & & & 1647.83 & & 1433.43 & \\ AIC & & & 70,931.92 & & 67,218.33 & \\ \hline
**Zone V** & & & & & & \\ Variable & Estimate & SE & t (Est/SE) & _p-value_ & Mean Coeff. & SE \\ \hline Intercept & 7883.91 & 1028.72 & 7.66 & 0.00 & 5035.23 * & 372.81 \\ Rainfall & 0.83 & 0.28 & 2.96 & 0.00 & 1.73 * & 0.71 \\ Slope & \(-\)16.18 & 7.02 & \(-\)2.31 & 0.05 & \(-\)31.22 * & 9.04 \\ Altitude & \(-\)0.88 & 0.33 & \(-\)2.67 & 0.00 & 1.09 * & 0.47 \\ Aspect & \(-\)0.39 & 0.23 & \(-\)1.70 & 0.07 & \(-\)1.02 & 0.33 \\ \hline R-squared & & & 0.08 & & 0.15 & \\ Adj & & & 0.06 & & 0.11 & \\ R-Squared & & & & & & \\ Sigma & & & & & & \\ AIC & & & & & & \\ \hline
**Zone VI** & & & & & & \\ Variable & Estimate & SE & t (Est/SE) & _p-value_ & Mean Coeff. & SE \\ \hline Intercept & 3031.82 & 1521.12 & 1.99 & 0.04 & 7812.44 * & 897.18 \\ Rainfall & 2.83 & 0.26 & 10.88 & 0.01 & 12.32 * & 6.56 \\ Slope & \(-\)61.82 & 12.81 & \(-\)4.83 & 0.01 & \(-\)43.79 * & 16.43 \\ Altitude & 1.7 & 0.59 & 2.88 & 0.00 & \(-\)0.97 * & 11.56 \\ Aspect & \(-\)0.02 & 0.19 & \(-\)0.11 & 0.11 & 0.25 * & 0.95 \\ \hline R-squared & & & 0.09 & & 0.30 & \\ Adj & & & 0.07 & & 0.20 & \\ R-Squared & & & & & & \\ Sigma & & & & & & \\ AIC & & & & & & \\ \hline \hline \multicolumn{7}{l}{* Indicates that the coefficients vary significantly throughout the space (geographically variability test).} \\ \end{tabular}
\end{table} 
Table 11: Comparison between OLS and GWR for the four studied factors (aspect, altitude, slope, and rainfall) at the three agarian zones: zone II in the northern Montana region, zone V in the Media region, and zone VI in the Ribera Alta Southern region. GWR: geographically weighted regression and OLS: ordinary least squares. SE refers to standard error. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**RESIDUAL ZONE-II** & **OLS** & **GWR** & **RESIDUAL ZONE-V** & **OLS** & **GWR** & **RESIDUAL ZONE-VI** & **OLS** & **GWR** \\ \hline Moran’s I & 0.133 & \(-\)0.015 & Moran’s I & 0.111 & \(-\)0.002 & Moran’s I & 0.071 & \(-\)0.023 \\ Expected I & \(-\)0.002 & \(-\)0.002 & Expected I & \(-\)0.004 & \(-\)0.004 & Expected I & \(-\)0.005 & \(-\)0.005 \\ _p-_score & 27.209 & 4.644 & _x-_score & 9.033 & 3.909 & _x-_score & 8.877 & 3.909 \\ _p-_value & \(<\)0.01 & \(>\)0.05 & _p-_value & \(<\)0.01 & \(>\)0.05 & _p-_value & \(<\)0.01 & \(>\)0.05 \\ \hline \hline \end{tabular}
\end{table} 
Table 12: Moran’s I spatial autocorrelation for both OLS and GWR residuals at the three zones: Zone II in the northern Montana region, zone V in the Media region, zone V in the Media region, and zone VI in the Ribera Alta Southern region. GWR: geographically weighted regression and OLS: ordinary least squares.