Table 6 Descriptive statistics (means and standard deviations) of the performance measures of models optimized with GA in the test set.
From: Short-term streamflow modeling using data-intelligence evolutionary machine learning models
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) |
