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Table 2

The convergence and stability indicators derived from the calibration processes of CRR models operated under different algorithms

CRR modelAlgorithmsAcisu sub-basin
Hacihidir sub-basin
Hacihaliller sub-basin
CRmeanhmeanFitnessmeanFitnessSTDCRmeanhmeanFitnessmeanFitnessSTDCRmeanhmeanFitnessmeanFitnessSTD
dynwbm GA 0.0019 466 1923.5122 70.6603 0.0019 453 7031.2966 14.3403 0.0031 413 3140.6994 40.1867 
PSO1 0.0022 456 1940.9631 274.7085 0.0018 422 7073.4997 254.0512 0.0028 445 3195.2268 200.4081 
PSO2 0.0033 285 2032.1258 304.2534 0.0031 255 7030.2938 24.1281 0.0042 299 3207.5234 227.3971 
PSO3 0.0045 188 1924.1132 124.4991 0.0059 145 7086.7903 249.1943 0.0063 194 3232.2214 420.0500 
PSO4 0.0058 172 1965.7949 253.8102 0.0080 108 7101.7418 280.9920 0.0073 178 3132.2236 89.5593 
DEA 0.0046 269 1869.7976 1.4168 0.0054 167 7014.7642 0.0028 0.0054 238 3108.6902 1.122 × 10−8 
IWA 0.0028 481 1869.3754 0.0022 0.0026 487 7014.7735 0.0061 0.0040 482 3108.6953 0.0019 
ABC 0.0024 437 1870.1011 0.4775 0.0018 442 7015.4136 0.3684 0.0033 420 3109.5468 0.5010 
LM 0.1662 115 2759.3692 3756.0965 0.1575 180 8584.6290 2181.1152 0.1014 46 4317.7102 3689.1102 
HPSO1 0.1287 9 1869.3713 3.331 × 10−10 0.1446 6 7014.7637 1.208 × 109 0.1720 8 3108.6902 1.569 × 10−10 
HPSO2 0.1242 17 1869.3713 5.802 × 10−12 0.1284 8 7014.7637 4.099 × 10−12 0.1924 8 3108.6902 4.580 × 10−11 
HPSO3 0.1245 10 1869.3713 3.222 × 10−12 0.1125 8 7014.7637 4.851 × 10−12 0.1826 8 3108.6902 3.592 × 10−11 
HPSO4 0.1364 10 1869.3713 2.885 × 10−12 0.1354 6 7014.7637 4.137 × 10−12 0.1855 7 3108.6902 2.464 × 10−11 
abcde GA 0.0019 458 2403.6905 50.2396 0.0024 445 8002.6599 267.2675 0.0028 484 3713.8467 128.7854 
PSO1 0.0025 366 2540.1567 288.7886 0.0043 305 8361.0920 1446.6445 0.0063 335 4549.0336 2395.7666 
PSO2 0.0038 253 2488.8802 142.7987 0.0045 219 8133.0850 278.0582 0.0047 240 4102.7604 909.4121 
PSO3 0.0060 154 2710.0375 893.5297 0.0090 124 8369.8447 1417.1795 0.0112 134 4010.9025 418.5354 
PSO4 0.0092 121 2507.0071 313.3282 0.0119 102 8033.0716 153.9627 0.0139 128 3782.1565 443.0509 
DEA 0.0035 279 2346.4884 24.7892 0.0056 218 7923.4904 0.0415 0.0061 236 3512.4101 0.2065 
IWA 0.0033 484 2341.9125 0.0026 0.0029 495 7926.3310 3.4529 0.0043 485 3512.3752 0.0080 
ABC 0.0021 454 2344.8903 2.5837 0.0026 443 7925.2631 0.9866 0.0033 449 3518.5462 4.6468 
LM 0.1155 209 2947.3623 1230.1110 0.0327 159 9984.8427 5121.5852 0.0208 348 8811.6827 4761.7685 
HPSO1 0.0548 26 2341.9071 8.431 × 10−11 0.0251 46 7923.4795 7.090 × 10−9 0.0714 32 3512.3578 1.466 × 10−10 
HPSO2 0.0559 26 2341.9071 5.401 × 10−12 0.0261 49 7923.4795 1.189 × 10−11 0.0571 29 3512.3578 9.549 × 10−12 
HPSO3 0.0491 28 2341.9071 3.817 × 10−12 0.0231 50 7923.4795 1.454 × 10−11 0.0764 32 3512.3578 9.822 × 10−12 
HPSO4 0.0546 19 2341.9071 2.856 × 10−12 0.0269 42 7923.4795 7.699 × 10−12 0.0732 21 3512.3578 7.069 × 10−12 
CRR modelAlgorithmsAcisu sub-basin
Hacihidir sub-basin
Hacihaliller sub-basin
CRmeanhmeanFitnessmeanFitnessSTDCRmeanhmeanFitnessmeanFitnessSTDCRmeanhmeanFitnessmeanFitnessSTD
dynwbm GA 0.0019 466 1923.5122 70.6603 0.0019 453 7031.2966 14.3403 0.0031 413 3140.6994 40.1867 
PSO1 0.0022 456 1940.9631 274.7085 0.0018 422 7073.4997 254.0512 0.0028 445 3195.2268 200.4081 
PSO2 0.0033 285 2032.1258 304.2534 0.0031 255 7030.2938 24.1281 0.0042 299 3207.5234 227.3971 
PSO3 0.0045 188 1924.1132 124.4991 0.0059 145 7086.7903 249.1943 0.0063 194 3232.2214 420.0500 
PSO4 0.0058 172 1965.7949 253.8102 0.0080 108 7101.7418 280.9920 0.0073 178 3132.2236 89.5593 
DEA 0.0046 269 1869.7976 1.4168 0.0054 167 7014.7642 0.0028 0.0054 238 3108.6902 1.122 × 10−8 
IWA 0.0028 481 1869.3754 0.0022 0.0026 487 7014.7735 0.0061 0.0040 482 3108.6953 0.0019 
ABC 0.0024 437 1870.1011 0.4775 0.0018 442 7015.4136 0.3684 0.0033 420 3109.5468 0.5010 
LM 0.1662 115 2759.3692 3756.0965 0.1575 180 8584.6290 2181.1152 0.1014 46 4317.7102 3689.1102 
HPSO1 0.1287 9 1869.3713 3.331 × 10−10 0.1446 6 7014.7637 1.208 × 109 0.1720 8 3108.6902 1.569 × 10−10 
HPSO2 0.1242 17 1869.3713 5.802 × 10−12 0.1284 8 7014.7637 4.099 × 10−12 0.1924 8 3108.6902 4.580 × 10−11 
HPSO3 0.1245 10 1869.3713 3.222 × 10−12 0.1125 8 7014.7637 4.851 × 10−12 0.1826 8 3108.6902 3.592 × 10−11 
HPSO4 0.1364 10 1869.3713 2.885 × 10−12 0.1354 6 7014.7637 4.137 × 10−12 0.1855 7 3108.6902 2.464 × 10−11 
abcde GA 0.0019 458 2403.6905 50.2396 0.0024 445 8002.6599 267.2675 0.0028 484 3713.8467 128.7854 
PSO1 0.0025 366 2540.1567 288.7886 0.0043 305 8361.0920 1446.6445 0.0063 335 4549.0336 2395.7666 
PSO2 0.0038 253 2488.8802 142.7987 0.0045 219 8133.0850 278.0582 0.0047 240 4102.7604 909.4121 
PSO3 0.0060 154 2710.0375 893.5297 0.0090 124 8369.8447 1417.1795 0.0112 134 4010.9025 418.5354 
PSO4 0.0092 121 2507.0071 313.3282 0.0119 102 8033.0716 153.9627 0.0139 128 3782.1565 443.0509 
DEA 0.0035 279 2346.4884 24.7892 0.0056 218 7923.4904 0.0415 0.0061 236 3512.4101 0.2065 
IWA 0.0033 484 2341.9125 0.0026 0.0029 495 7926.3310 3.4529 0.0043 485 3512.3752 0.0080 
ABC 0.0021 454 2344.8903 2.5837 0.0026 443 7925.2631 0.9866 0.0033 449 3518.5462 4.6468 
LM 0.1155 209 2947.3623 1230.1110 0.0327 159 9984.8427 5121.5852 0.0208 348 8811.6827 4761.7685 
HPSO1 0.0548 26 2341.9071 8.431 × 10−11 0.0251 46 7923.4795 7.090 × 10−9 0.0714 32 3512.3578 1.466 × 10−10 
HPSO2 0.0559 26 2341.9071 5.401 × 10−12 0.0261 49 7923.4795 1.189 × 10−11 0.0571 29 3512.3578 9.549 × 10−12 
HPSO3 0.0491 28 2341.9071 3.817 × 10−12 0.0231 50 7923.4795 1.454 × 10−11 0.0764 32 3512.3578 9.822 × 10−12 
HPSO4 0.0546 19 2341.9071 2.856 × 10−12 0.0269 42 7923.4795 7.699 × 10−12 0.0732 21 3512.3578 7.069 × 10−12 

CRmean versus hmean are the mean of CR and h values obtained over 30 runs. Fitnessmean and fitnessSTD are the mean and standard deviation of fitness values in the 500th iteration row obtained over 30 runs (in mm2). The five best values in the table were denoted in bold character and the best value among them was underlined.

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