Twenty-seven historical floods from 2005 to 2010 are employed to verify the performance of the proposed algorithm. As the algorithm has little influence on the peak time, here we list only the results of peak discharge and total runoff volume for comparison. Table 5 presents the simulated results of peak discharge and total runoff volume based on Pa calculated by the Xinanjiang DM and modified by GA, and the observed results of peak discharge and total runoff volume for all floods. Table 6 shows the statistical results of the DM and GA.
Comparisons of peak discharge and total runoff volume based on Pa from DM and GA
| . | Peak discharge . | Total runoff volume . | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| . | . | DM . | GA . | . | DM . | GA . | ||||
| Floods . | Observed (m³ s−1) . | Simulated (m³ s−1) . | Error (%) . | Simulated (m³ s−1) . | Error (%) . | Observed (108 m³) . | Simulated (108 m³) . | Error (%) . | Simulated (108 m³ . | Error (%) . |
| 20050213 | 2,089.9 | 1,961.2 | −6.16 | 2,156.9 | 3.21 | 3.38 | 3.63 | 7.21 | 3.44 | 1.70 |
| 20050619 | 3,956.9 | 4,852.5 | 22.63 | 4,243.7 | 7.25 | 7.75 | 8.89 | 14.71 | 7.74 | 0.13 |
| 20060608 | 3,353.0 | 4,256.0 | 26.93 | 3,353.2 | 0.01 | 5.66 | 6.69 | 18.20 | 5.90 | 4.24 |
| 20060613 | 2,257.6 | 2,264.5 | 0.31 | 2,251.6 | 0.27 | 3.77 | 4.33 | 14.85 | 4.35 | 15.38 |
| 20060804 | 2,499.7 | 2,184.6 | −12.61 | 2,361.8 | 5.52 | 4.32 | 4.11 | 4.86 | 4.39 | 1.62 |
| 20070429 | 1,947.7 | 1,261.8.3 | − 35.22 | 1,903.2 | −2.28 | 3.11 | 2.09 | −32.72 | 2.99 | −4.00 |
| 20070603 | 3,398.4 | 3,126.9 | −7.99 | 3,221.5 | 5.21 | 4.20 | 4.12 | 1.90 | 4.22 | 0.48 |
| 20070607 | 7,326.6 | 9,111.6 | 24.36 | 7,419.8 | 1.27 | 8.86 | 11.16 | 25.92 | 9.35 | 5.56 |
| 20070613 | 3,398.4 | 4,367.0 | 28.50 | 3,388.5 | −2.9 | 5.02 | 6.26 | 24.72 | 5.31 | 5.88 |
| 20080509 | 1,511.2 | 1,424.0 | −5.77 | 1,446.7 | 4.27 | 2.19 | 2.08 | 5.02 | 2.12 | 3.20 |
| 20080613 | 7,642.2 | 10,053.7 | 31.56 | 7,663.0 | 2.72 | 14.58 | 16.39 | 12.45 | 13.12 | 10.02 |
| 20090424 | 875.3 | 864.3 | −1.26 | 868.1 | 0.82 | 0.90 | 0.88 | 2.78 | 0.89 | 1.77 |
| 20090519 | 3,138.0 | 2,928.6 | −6.67 | 2,874.1 | 8.41 | 4.64 | 4.12 | 11.16 | 4.28 | 7.89 |
| 20090602 | 896.5 | 793.7 | −11.47 | 890.0 | 0.73 | 1.32 | 1.27 | −3.30 | 1.37 | 3.79 |
| 20090611 | 1,569.9 | 1,880.2 | 19.77 | 1,666.4 | 6.15 | 1.97 | 2.77 | 40.33 | 2.26 | 14.72 |
| 20090728 | 1,399.7 | 1,679.8 | 20.01 | 1,413.2 | 0.96 | 1.72 | 2.33 | 35.46 | 1.59 | −7.56 |
| 20100416 | 3,139.1 | 3,300.9 | 5.15 | 3,192.2 | 1.69 | 6.78 | 6.86 | 1.18 | 6.58 | 2.95 |
| 20100421 | 3,454.2 | 3,507.4 | 1.54 | 3,233.6 | 6.39 | 4.60 | 5.43 | 18.04 | 5.12 | 11.30 |
| 20100426 | 1,351.4 | 1,444.1 | 6.86 | 1,269.1 | 6.09 | 1.14 | 1.38 | 21.05 | 1.26 | 10.53 |
| 20100513 | 2,706.5 | 3,339.9 | 23.40 | 2,758.4 | 1.92 | 3.96 | 4.22 | 6.57 | 3.47 | 12.37 |
| 20100519 | 1,602.9 | 1,552.5 | −3.14 | 1,602.9 | 0.00 | 1.56 | 1.53 | 1.92 | 1.58 | 1.28 |
| 20100522 | 2,691.4 | 2,366.6 | −12.07 | 2,795.4 | 3.86 | 2.66 | 2.30 | 13.53 | 2.66 | 0.00 |
| 20100531 | 3,270.0 | 4,693.6 | 43.54 | 3,109.2 | 4.92 | 5.79 | 6.65 | 14.85 | 5.10 | 11.92 |
| 20100609 | 1,036.8 | 1,307.6 | 26.12 | 1,038.0 | 0.12 | 1.30 | 1.48 | 13.85 | 1.26 | 3.08 |
| 20100613 | 3,270.1 | 3,778.6 | 15.55 | 2,919.4 | −10.72 | 4.92 | 5.54 | 12.60 | 4.61 | 6.30 |
| 20100617 | 2,683.1 | 3,209.5 | 19.62 | 2,680.2 | −0.11 | 3.51 | 4.12 | 17.38 | 3.65 | 3.99 |
| 20100621 | 5,829.2 | 7,014.6 | 20.34 | 6,015.1 | 3.19 | 7.70 | 8.73 | 13.38 | 7.79 | 1.18 |
| . | Peak discharge . | Total runoff volume . | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| . | . | DM . | GA . | . | DM . | GA . | ||||
| Floods . | Observed (m³ s−1) . | Simulated (m³ s−1) . | Error (%) . | Simulated (m³ s−1) . | Error (%) . | Observed (108 m³) . | Simulated (108 m³) . | Error (%) . | Simulated (108 m³ . | Error (%) . |
| 20050213 | 2,089.9 | 1,961.2 | −6.16 | 2,156.9 | 3.21 | 3.38 | 3.63 | 7.21 | 3.44 | 1.70 |
| 20050619 | 3,956.9 | 4,852.5 | 22.63 | 4,243.7 | 7.25 | 7.75 | 8.89 | 14.71 | 7.74 | 0.13 |
| 20060608 | 3,353.0 | 4,256.0 | 26.93 | 3,353.2 | 0.01 | 5.66 | 6.69 | 18.20 | 5.90 | 4.24 |
| 20060613 | 2,257.6 | 2,264.5 | 0.31 | 2,251.6 | 0.27 | 3.77 | 4.33 | 14.85 | 4.35 | 15.38 |
| 20060804 | 2,499.7 | 2,184.6 | −12.61 | 2,361.8 | 5.52 | 4.32 | 4.11 | 4.86 | 4.39 | 1.62 |
| 20070429 | 1,947.7 | 1,261.8.3 | − 35.22 | 1,903.2 | −2.28 | 3.11 | 2.09 | −32.72 | 2.99 | −4.00 |
| 20070603 | 3,398.4 | 3,126.9 | −7.99 | 3,221.5 | 5.21 | 4.20 | 4.12 | 1.90 | 4.22 | 0.48 |
| 20070607 | 7,326.6 | 9,111.6 | 24.36 | 7,419.8 | 1.27 | 8.86 | 11.16 | 25.92 | 9.35 | 5.56 |
| 20070613 | 3,398.4 | 4,367.0 | 28.50 | 3,388.5 | −2.9 | 5.02 | 6.26 | 24.72 | 5.31 | 5.88 |
| 20080509 | 1,511.2 | 1,424.0 | −5.77 | 1,446.7 | 4.27 | 2.19 | 2.08 | 5.02 | 2.12 | 3.20 |
| 20080613 | 7,642.2 | 10,053.7 | 31.56 | 7,663.0 | 2.72 | 14.58 | 16.39 | 12.45 | 13.12 | 10.02 |
| 20090424 | 875.3 | 864.3 | −1.26 | 868.1 | 0.82 | 0.90 | 0.88 | 2.78 | 0.89 | 1.77 |
| 20090519 | 3,138.0 | 2,928.6 | −6.67 | 2,874.1 | 8.41 | 4.64 | 4.12 | 11.16 | 4.28 | 7.89 |
| 20090602 | 896.5 | 793.7 | −11.47 | 890.0 | 0.73 | 1.32 | 1.27 | −3.30 | 1.37 | 3.79 |
| 20090611 | 1,569.9 | 1,880.2 | 19.77 | 1,666.4 | 6.15 | 1.97 | 2.77 | 40.33 | 2.26 | 14.72 |
| 20090728 | 1,399.7 | 1,679.8 | 20.01 | 1,413.2 | 0.96 | 1.72 | 2.33 | 35.46 | 1.59 | −7.56 |
| 20100416 | 3,139.1 | 3,300.9 | 5.15 | 3,192.2 | 1.69 | 6.78 | 6.86 | 1.18 | 6.58 | 2.95 |
| 20100421 | 3,454.2 | 3,507.4 | 1.54 | 3,233.6 | 6.39 | 4.60 | 5.43 | 18.04 | 5.12 | 11.30 |
| 20100426 | 1,351.4 | 1,444.1 | 6.86 | 1,269.1 | 6.09 | 1.14 | 1.38 | 21.05 | 1.26 | 10.53 |
| 20100513 | 2,706.5 | 3,339.9 | 23.40 | 2,758.4 | 1.92 | 3.96 | 4.22 | 6.57 | 3.47 | 12.37 |
| 20100519 | 1,602.9 | 1,552.5 | −3.14 | 1,602.9 | 0.00 | 1.56 | 1.53 | 1.92 | 1.58 | 1.28 |
| 20100522 | 2,691.4 | 2,366.6 | −12.07 | 2,795.4 | 3.86 | 2.66 | 2.30 | 13.53 | 2.66 | 0.00 |
| 20100531 | 3,270.0 | 4,693.6 | 43.54 | 3,109.2 | 4.92 | 5.79 | 6.65 | 14.85 | 5.10 | 11.92 |
| 20100609 | 1,036.8 | 1,307.6 | 26.12 | 1,038.0 | 0.12 | 1.30 | 1.48 | 13.85 | 1.26 | 3.08 |
| 20100613 | 3,270.1 | 3,778.6 | 15.55 | 2,919.4 | −10.72 | 4.92 | 5.54 | 12.60 | 4.61 | 6.30 |
| 20100617 | 2,683.1 | 3,209.5 | 19.62 | 2,680.2 | −0.11 | 3.51 | 4.12 | 17.38 | 3.65 | 3.99 |
| 20100621 | 5,829.2 | 7,014.6 | 20.34 | 6,015.1 | 3.19 | 7.70 | 8.73 | 13.38 | 7.79 | 1.18 |
Statistical result comparison of DM and GA
| Method . | Qualificatory peak discharge . | Qualificatory total runoff volume . | ||
|---|---|---|---|---|
| . | Number . | Ratio (%) . | Number . | Ratio (%) . |
| DM | 16 | 69.57 | 21 | 91.30 |
| GA | 27 | 100 | 27 | 100 |
| Method . | Qualificatory peak discharge . | Qualificatory total runoff volume . | ||
|---|---|---|---|---|
| . | Number . | Ratio (%) . | Number . | Ratio (%) . |
| DM | 16 | 69.57 | 21 | 91.30 |
| GA | 27 | 100 | 27 | 100 |