Research Article
Development of Multidecomposition Hybrid Model for Hydrological Time Series Analysis
Table 3
Evaluation index of testing prediction error of proposed models (EMD-CEEMDAN-MM and WA-CEEMDAN-MM) with all selected models for all four case studies.
| River Inflow | Model Name | Models | MRE | MAE | MSE |
| Indus Inflow | 1-S | ARIMA | 4.2347 | 0.0685 | 64.7141 | | 2-S | WA-ARMA | 3.2862 | 0.0430 | 53.4782 | | | WA-RGMDH | 3.2548 | 0.0393 | 46.7382 | | | WA-RBFN | 20.1949 | 0.2598 | 2301.772 | | | EMD-ARMA | 4.9898 | 0.0960 | 76.1440 | | | EMD-RGMDH | 4.9653 | 0.0915 | 76.0884 | | | EMD-RBFN | 34.3741 | 0.7762 | 3931.601 | | 3-S | EMD-EEMD-MM | 5.2710 | 0.1721 | 44.0115 | | | WA-CEEMDAN-MM | 1.5410 | 0.0349 | 5.5734 | | | EMD-CEEMDAN-MM | 1.8009 | 0.0462 | 6.6983 | Jhelum Inflow | 1-S | ARMA | 3.5224 | 0.1201 | 47.5529 | | 2-S | WA-ARMA | 2.6129 | 0.0748 | 37.1441 | | | WA-RGMDH | 2.6208 | 0.0773 | 37.7954 | | | WA-RBFN | 9.8608 | 0.7714 | 180.7443 | | | EMD-ARMA | 3.7354 | 0.1551 | 48.3164 | | | EMD-RGMDH | 3.7357 | 0.1620 | 48.3606 | | | EMD-RBFN | 2.8822 | 0.2506 | 51.9916 | | 3-S | EMD-EEMD-MM | 2.0096 | 0.1269 | 7.3565 | | | WA-CEEMDAN-MM | 1.1805 | 0.0457 | 6.8225 | | | EMD-CEEMDAN-MM | 1.4480 | 0.0642 | 7.7709 | Kabul Inflow | 1-S | ARMA | 2.4910 | 0.0883 | 25.0136 | | 2-S | WA-ARMA | 1.9999 | 0.0592 | 20.6874 | | | WA-RGMDH | 2.0794 | 0.0729 | 21.0612 | | | WA-RBFN | 1.6565 | 0.0997 | 13.3554 | | | EMD-ARMA | 2.9538 | 0.1484 | 28.5767 | | | EMD-RGMDH | 3.0114 | 0.2280 | 28.9351 | | | EMD-RBFN | 4.9355 | 0.7613 | 69.9346 | | 3-S | EMD-EEMD-MM | 1.8758 | 0.3166 | 5.8020 | | | WA-CEEMDAN-MM | 0.7664 | 0.0363 | 2.1072 | | | EMD-CEEMDAN-MM | 0.9599 | 0.0861 | 2.7636 | Chenab Inflow | 1-S | ARMA | 5.4157 | 0.4646 | 108.185 | | 2-S | WA-ARMA | 3.9652 | 0.1087 | 84.2359 | | | WA-RGMDH | 3.6147 | 0.0943 | 81.6493 | | | WA-RBFN | 4.1424 | 0.2757 | 47.6184 | | | EMD-ARMA | 4.7971 | 0.2721 | 100.7013 | | | EMD-RGMDHA | 4.4812 | 0.1865 | 95.6680 | | | EMD-RBFN | 10.8228 | 2.1666 | 284.5627 | | 3-S | EMD-EEMD-MM | 2.7172 | 0.2298 | 14.5191 | | | WA-CEEMDAN-MM | 1.6940 | 0.0705 | 13.5702 | | | EMD-CEEMDAN-MM | 1.9345 | 0.1105 | 14.067 |
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