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. 2023 Aug 24;13:13824. doi: 10.1038/s41598-023-41113-5

Table 6.

Descriptive statistics (means and standard deviations) of the performance measures of models optimized with GA in the test set.

DA Estimator R WI RMSE MAE MAPE NSE KGE
1 ELM 0.960 (0.005) 0.979 (0.003) 0.184 (0.012) 0.118 (0.002) 6.91 (0.140) 0.914 (0.012) 0.944 (0.008)
EN 0.966 (0.00) 0.982 (0.00) 0.168 (0.00) 0.112 (0.00) 6.51 (0.008) 0.929 (0.00) 0.957 (0.00)
MARS 0.975 (0.00) 0.987 (0.00) 0.144 (0.00) 0.099 (0.00) 5.84 (0.038) 0.948 (0.00) 0.961 (0.002)
SVR 0.978 (0.003) 0.987 (0.002) 0.143 (0.012) 0.113 (0.012) 6.88 (0.790) 0.947 (0.009) 0.952 (0.010)
XGB 0.979 (0.00) 0.989 (0.00) 0.131 (0.003) 0.094 (0.003) 5.64 (0.160) 0.956 (0.002) 0.976 (0.002)
3 ELM 0.961 (0.003) 0.979 (0.002) 0.186 (0.007) 0.121 (0.002) 7.06 (0.138) 0.912 (0.007) 0.935 (0.005)
EN 0.965 (0.00) 0.981 (0.00) 0.175 (0.00) 0.115 (0.00) 6.63 (0.011) 0.923 (0.00) 0.945 (0.00)
MARS 0.971 (0.003) 0.985 (0.002) 0.154 (0.009) 0.096 (0.00) 5.66 (0.039) 0.939 (0.007) 0.956 (0.004)
SVR 0.977 (0.002) 0.987 (0.002) 0.147 (0.011) 0.114 (0.011) 6.89 (0.711) 0.945 (0.008) 0.947 (0.012)
XGB 0.981 (0.00) 0.990 (0.00) 0.126 (0.003) 0.096 (0.002) 5.78 (0.085) 0.960 (0.002) 0.974 (0.002)
5 ELM 0.941 (0.005) 0.968 (0.003) 0.231 (0.010) 0.151 (0.002) 8.72 (0.161) 0.865 (0.013) 0.907 (0.008)
EN 0.945 (0.00) 0.970 (0.00) 0.220 (0.00) 0.146 (0.00) 8.33 (0.026) 0.877 (0.00) 0.918 (0.001)
MARS 0.955 (0.002) 0.976 (0.001) 0.195 (0.005) 0.135 (0.002) 7.85 (0.122) 0.903 (0.005) 0.934 (0.005)
SVR 0.955 (0.002) 0.974 (0.002) 0.210 (0.008) 0.150 (0.009) 8.85 (0.532) 0.888 (0.009) 0.899 (0.010)
XGB 0.960 (0.00) 0.979 (0.00) 0.184 (0.002) 0.138 (0.002) 8.22 (0.124) 0.914 (0.002) 0.945 (0.005)
7 ELM 0.896 (0.004) 0.943 (0.003) 0.306 (0.007) 0.196 (0.003) 11.32 (0.236) 0.763 (0.011) 0.867 (0.007)
EN 0.903 (0.00) 0.948 (0.00) 0.290 (0.00) 0.188 (0.00) 10.69 (0.032) 0.786 (0.001) 0.883 (0.001)
MARS 0.901 (0.022) 0.946 (0.014) 0.299 (0.034) 0.191 (0.003) 10.99 (0.161) 0.771 (0.066) 0.866 (0.028)
SVR 0.915 (0.004) 0.951 (0.003) 0.289 (0.009) 0.185 (0.003) 10.71 (0.226) 0.787 (0.013) 0.853 (0.009)
XGB 0.922 (0.004) 0.958 (0.003) 0.262 (0.010) 0.187 (0.004) 10.98 (0.193) 0.826 (0.013) 0.897 (0.009)