Based on the obtained results, the MB4, MS5 and MI3 models are selected as the best models for simulating scour depth for the ski-jump bucket, sharp-crested weir and inclined slope controlled structure cases, respectively. The MB4 model includes four dimensionless parameters, i.e. . Table 6 shows the results of the sensitivity analysis of the GEP and FFNN models. According to the table, is the most important parameter affecting the scour depth simulation downstream of the ski-jump bucket, while shows the lowest impact.

Table 6

Sensitivity analyses of the best data driven models

Omitted variableModelCCR2RMSEMAE
Ski-jump bucket (MB4 model) 
 GEP 0.318 0.439 0.065 0.052 
FFNN 0.203 0.261 0.189 0.085 
 GEP 0.411 0.457 0.064 0.045 
FFNN 0.535 0.581 0.060 0.039 
 GEP 0.623 0.694 0.048 0.037 
FFNN 0.741 0.817 0.038 0.029 
 GEP 0.598 0.651 0.051 0.036 
FFNN 0.477 0.511 0.081 0.046 
Sharp edge overflow (MS5 model) 
 GEP 0.224 0.304 0.273 0.159 
FFNN 0.345 0.567 0.207 0.146 
 GEP 0.763 0.817 0.150 0.086 
FFNN 0.821 0.852 0.126 0.062 
 GEP 0.613 0.709 0.174 0.097 
FFNN 0.736 0.826 0.142 0.074 
 GEP 0.588 0.649 0.191 0.111 
FFNN 0.711 0.771 0.163 0.086 
 GEP 0.491 0.519 0.219 0.128 
FFNN 0.628 0.679 0.192 0.090 
Inclined slope controlled structure (MI3 model) 
 GEP 0.411 0.498 0.282 0.246 
FFNN 0.398 0.439 0.187 0.095 
 GEP 0.122 0.232 0.338 0.290 
FFNN 0.233 0.394 0.302 0.243 
 GEP 0.321 0.413 0.298 0.232 
FFNN 0.285 0.382 0.306 0.237 
Omitted variableModelCCR2RMSEMAE
Ski-jump bucket (MB4 model) 
 GEP 0.318 0.439 0.065 0.052 
FFNN 0.203 0.261 0.189 0.085 
 GEP 0.411 0.457 0.064 0.045 
FFNN 0.535 0.581 0.060 0.039 
 GEP 0.623 0.694 0.048 0.037 
FFNN 0.741 0.817 0.038 0.029 
 GEP 0.598 0.651 0.051 0.036 
FFNN 0.477 0.511 0.081 0.046 
Sharp edge overflow (MS5 model) 
 GEP 0.224 0.304 0.273 0.159 
FFNN 0.345 0.567 0.207 0.146 
 GEP 0.763 0.817 0.150 0.086 
FFNN 0.821 0.852 0.126 0.062 
 GEP 0.613 0.709 0.174 0.097 
FFNN 0.736 0.826 0.142 0.074 
 GEP 0.588 0.649 0.191 0.111 
FFNN 0.711 0.771 0.163 0.086 
 GEP 0.491 0.519 0.219 0.128 
FFNN 0.628 0.679 0.192 0.090 
Inclined slope controlled structure (MI3 model) 
 GEP 0.411 0.498 0.282 0.246 
FFNN 0.398 0.439 0.187 0.095 
 GEP 0.122 0.232 0.338 0.290 
FFNN 0.233 0.394 0.302 0.243 
 GEP 0.321 0.413 0.298 0.232 
FFNN 0.285 0.382 0.306 0.237 

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