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. 2024 Aug 28;14:20026. doi: 10.1038/s41598-024-70939-w

Table 7.

Results obtained from the soft computing models in the training and testing phase.

Model Phase RMSE MAE R MAPE VAF WMAPE NS PI BF NMBE WI MBE LMI RSR a20 IOA IOS
MD1 Train 21.9662 15.8079 0.8948 0.3445 80.06 0.2530 0.8006 1.51 1.1668 7.7234 0.9974 0.0341 0.4212 0.4466 56.25 0.7894 0.3516
Test 25.2820 17.7599 0.8854 0.2388 78.35 0.2119 0.7693 1.46 0.9772 7.6248 0.9965 -6.2726 0.3855 0.4803 55.00 0.8072 0.3016
Valid 22.5340 16.9839 0.7770 0.3467 54.28 0.2922 0.5265 1.05 1.1605 8.7375 0.9929 4.1799 0.6113 0.6881 30.00 0.6943 0.3877
MD10 Train 21.9575 15.7224 0.8949 0.3502 80.07 0.2517 0.8007 1.51 1.1661 7.7173 0.9974 0.0341 0.4189 0.4464 45.63 0.7906 0.3515
Test 25.6335 18.0084 0.8820 0.2407 77.70 0.2148 0.7629 1.45 0.9755 7.8383 0.9961 -6.2585 0.3909 0.4869 50.00 0.8045 0.3058
Valid 22.5340 16.9839 0.7770 0.3467 54.28 0.2922 0.5265 1.05 1.1605 8.7375 0.9929 4.1799 0.6113 0.6881 30.00 0.6943 0.3877
MD16 Train 20.4599 14.8188 0.9094 0.3451 82.70 0.2372 0.8270 1.57 1.1673 6.7005 0.9977 0.0341 0.3948 0.4159 48.75 0.8026 0.3275
Test 25.2460 18.6492 0.8799 0.2791 77.35 0.2225 0.7700 1.44 1.0767 7.6031 0.9959 -3.1068 0.4048 0.4796 52.00 0.7976 0.3012
Valid 22.5340 16.9839 0.7770 0.3467 54.28 0.2922 0.5265 1.05 1.1605 8.7375 0.9929 4.1799 0.6113 0.6881 30.00 0.6943 0.3877
MD21 Train 22.6713 15.5568 0.8875 0.3473 78.76 0.2490 0.7876 1.48 1.1695 8.2272 0.9974 0.0341 0.4145 0.4609 48.13 0.7928 0.3629
Test 25.8582 18.5053 0.8776 0.2479 76.87 0.2208 0.7587 1.43 0.9921 7.9763 0.9960 -5.2581 0.4017 0.4912 52.00 0.7991 0.3085
Valid 21.6117 15.5094 0.7544 0.3545 56.88 0.2669 0.5645 1.05 1.1439 8.0369 0.9901 -2.1526 0.5583 0.6599 50.00 0.7209 0.3719
MD26 Train 20.4729 14.9638 0.9093 0.3435 82.68 0.2395 0.8268 1.57 1.1613 6.7091 0.9976 0.0341 0.3987 0.4162 49.38 0.8007 0.3277
Test 24.3589 18.2533 0.8872 0.2861 78.64 0.2177 0.7859 1.47 1.1110 7.0782 0.9962 -1.1517 0.3963 0.4627 45.00 0.8019 0.2906
Valid 22.1191 16.0132 0.7603 0.3405 54.39 0.2755 0.5438 1.03 1.1246 8.4187 0.9920 0.2884 0.5764 0.6754 55.00 0.7118 0.3806
MD29 Train 20.2579 14.6322 0.9114 0.3427 83.04 0.2342 0.8304 1.58 1.1437 6.5689 0.9977 -0.2653 0.3898 0.4118 60.00 0.8051 0.3243
Test 21.2999 16.2272 0.9175 0.2094 83.92 0.1936 0.8363 1.59 0.9750 5.4120 0.9967 -2.8230 0.3523 0.4046 65.00 0.8239 0.2541
Valid 18.5467 13.4658 0.8369 0.3055 67.99 0.2317 0.6793 1.30 1.1144 5.9189 0.9941 0.8088 0.4847 0.5663 60.00 0.7577 0.3191