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Table 5 presents the total SI and its cumulative sum for all 23 parameters. If contributing 90% of the total output variance is used as a threshold to identify the important parameters, ten parameters have to be kept for model optimization. Comparing these ten parameters (the last row of Table 5) from the Sobol’ method with the ten important parameters from the MOGA (the last row of Table 4), it can be found that seven parameters are identified to be commonly important by both methods, even though the importance order is not exactly the same. Especially, eight parameters are identified to be commonly important for the same watershed and metric (row 2 of Table 4 versus the last row of Table 5).

Table 5

Total order sensitivity index (SI) and its cumulative sum of Sobol’ sensitivity analysis for 23 parameters of HSAMI using the NSE for the CDD watershed

ParameterP9P7P18P23P16P14P10P22P2P17P21P1P15P20P12P19P8P4P11P5P3P6P13
Total order SI 0.000 0.000 0.001 0.001 0.004 0.005 0.006 0.007 0.009 0.013 0.013 0.014 0.020 0.022 0.032 0.040 0.057 0.078 0.087 0.097 0.150 0.160 0.185 
Cumulative sum 0.000 0.000 0.001 0.002 0.005 0.010 0.016 0.022 0.031 0.044 0.057 0.071 0.091 0.113 0.145 0.184 0.242 0.320 0.408 0.505 0.655 0.815 1.000 
Order 23 22 21 20 19 18 17 16 15 14 13 12 11 10 
ParameterP9P7P18P23P16P14P10P22P2P17P21P1P15P20P12P19P8P4P11P5P3P6P13
Total order SI 0.000 0.000 0.001 0.001 0.004 0.005 0.006 0.007 0.009 0.013 0.013 0.014 0.020 0.022 0.032 0.040 0.057 0.078 0.087 0.097 0.150 0.160 0.185 
Cumulative sum 0.000 0.000 0.001 0.002 0.005 0.010 0.016 0.022 0.031 0.044 0.057 0.071 0.091 0.113 0.145 0.184 0.242 0.320 0.408 0.505 0.655 0.815 1.000 
Order 23 22 21 20 19 18 17 16 15 14 13 12 11 10 

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