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. 2025 Dec 10;16:2476. doi: 10.1038/s41598-025-32376-1

Table 5.

Performance metrics (RMSE, MAE, R²) of XGBoost, RF, and SVM models across hydrogeological zones Z1–Z5 during training and testing.

Model Index Training Testing
Z1 Z2 Z3 Z4 Z5 Z1 Z2 Z3 Z4 Z5
XGBoost RMSE 0.82 0.81 1.64 1.09 0.35 0.85 2.37 2.87 1.25 0.43
R 2 0.93 0.95 0.94 0.90 0.95 0.91 0.80 0.85 0.76 0.92
MAE 0.21 1.01 1.5 0.38 0.15 0.32 1.8 2.4 0.67 0.21
WI 0.98 0.99 0.97 0.96 0.99 0.97 0.92 0.94 0.93 0.98
PBIAS (%) −0.8 1.2 −1.5 0.6 −0.5 −1.1 2.4 1.8 −1.7 −1.2
RF RMSE 0.74 1.43 2.14 1.08 0.68 0.77 2.77 2.93 1.23 0.83
R 2 0.82 0.88 0.86 0.70 0.9 0.78 0.75 0.77 0.59 0.85
MAE 0.42 1 1.7 0.41 0.2 0.72 1.5 2.8 0.66 0.48
WI 0.96 0.94 0.92 0.91 0.95 0.94 0.89 0.90 0.87 0.95
PBIAS (%) 1.5 3 2.8 −2.4 1.1 2.8 4.5 5.1 −3.2 1.7
SVM RMSE 0.79 1.23 2.34 1.13 0.23 0.87 2.05 4.16 1.26 0.44
R 2 0.91 0.94 0.92 0.85 0. 97 0.86 0.82 0.80 0.70 0.93
MAE 0.40 1.4 2 0.51 0.12 0.51 2.5 3.2 0.75 0.19
WI 0.97 0.96 0.91 0.93 0.99 0.96 0.91 0.86 0.90 0.98
PBIAS (%) −1.2 2.1 3.4 −1.8 0.4 −0.7 3.7 7.9 −2.5 0.8