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Table 5

Comparison of different models for optimum design of lined trapezoidal channels

ModelEquation no.RMSEMAER2MARE
(a) For calculating optimum m 
Swamee et al. (2000)  (7) 0.0079 0.0064 0.9881 0.0104 
Aksoy & Altan-Sakarya (2006) – First model (10) 0.0091 0.0055 0.9581 0.0087 
Aksoy & Altan-Sakarya (2006) – Second model (13) 0.0091 0.0055 0.9581 0.0087 
Niazkar & Afzali (2015)  (16) 0.0015 0.0011 0.9960 0.0018 
Nonlinear regression (this study) (35) 0.0065 0.0041 0.9390 0.0067 
ANN (this study) – 0.0001 0.0001 1.0000 0.0001 
GP (this study) – 0.0000 0.0000 1.0000 0.0000 
(b) For calculating optimum  
Swamee et al. (2000)  (8) 0.0030 0.0029 0.9998 0.0025 
Aksoy & Altan-Sakarya (2006) – First model (11) 0.0271 0.0109 0.9837 0.0084 
Aksoy & Altan-Sakarya (2006) – Second model (14) 0.0009 0.0007 0.9999 0.0006 
Niazkar & Afzali (2015)  (17) 0.0026 0.0019 0.9982 0.0016 
Nonlinear regression (this study) (36) 0.0208 0.0124 0.9105 0.0101 
ANN (this study) – 0.0006 0.0002 0.9999 0.0001 
GP (this study) – 0.0043 0.0011 0.9975 0.0008 
(c) For calculating optimum  
Swamee et al. (2000)  (9) 0.0019 0.0016 0.9975 0.0017 
Aksoy & Altan-Sakarya (2006) – First model (12) 0.0110 0.0048 0.9789 0.0054 
Aksoy & Altan-Sakarya (2006) – Second model (15) 0.0030 0.0026 0.9981 0.0028 
Niazkar & Afzali (2015)  (18) 0.0012 0.0009 0.9987 0.0009 
Nonlinear regression (this study) (37) 0.0089 0.0056 0.9340 0.0062 
ANN (this study) – 0.0028 0.0010 0.9948 0.0012 
GP (this study) – 0.0005 0.0002 0.9998 0.0003 
ModelEquation no.RMSEMAER2MARE
(a) For calculating optimum m 
Swamee et al. (2000)  (7) 0.0079 0.0064 0.9881 0.0104 
Aksoy & Altan-Sakarya (2006) – First model (10) 0.0091 0.0055 0.9581 0.0087 
Aksoy & Altan-Sakarya (2006) – Second model (13) 0.0091 0.0055 0.9581 0.0087 
Niazkar & Afzali (2015)  (16) 0.0015 0.0011 0.9960 0.0018 
Nonlinear regression (this study) (35) 0.0065 0.0041 0.9390 0.0067 
ANN (this study) – 0.0001 0.0001 1.0000 0.0001 
GP (this study) – 0.0000 0.0000 1.0000 0.0000 
(b) For calculating optimum  
Swamee et al. (2000)  (8) 0.0030 0.0029 0.9998 0.0025 
Aksoy & Altan-Sakarya (2006) – First model (11) 0.0271 0.0109 0.9837 0.0084 
Aksoy & Altan-Sakarya (2006) – Second model (14) 0.0009 0.0007 0.9999 0.0006 
Niazkar & Afzali (2015)  (17) 0.0026 0.0019 0.9982 0.0016 
Nonlinear regression (this study) (36) 0.0208 0.0124 0.9105 0.0101 
ANN (this study) – 0.0006 0.0002 0.9999 0.0001 
GP (this study) – 0.0043 0.0011 0.9975 0.0008 
(c) For calculating optimum  
Swamee et al. (2000)  (9) 0.0019 0.0016 0.9975 0.0017 
Aksoy & Altan-Sakarya (2006) – First model (12) 0.0110 0.0048 0.9789 0.0054 
Aksoy & Altan-Sakarya (2006) – Second model (15) 0.0030 0.0026 0.9981 0.0028 
Niazkar & Afzali (2015)  (18) 0.0012 0.0009 0.9987 0.0009 
Nonlinear regression (this study) (37) 0.0089 0.0056 0.9340 0.0062 
ANN (this study) – 0.0028 0.0010 0.9948 0.0012 
GP (this study) – 0.0005 0.0002 0.9998 0.0003 
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