Table 5

The basic function of the developed mathematical model by MARS algorithm

BF functionsCoefficients
BF1 = max(0, δ* − 1.87) −0.035 
BF2 = max(0, 1.87 −δ*) 0.046 
BF3 = BF1 * max(0, 0.0011 −So33.067 
BF4 = max(0, So −0.00099) 16.524 
BF5 = max(0, 0.00099 −So−533.352 
BF6 = BF1 * max(0, β − 0.364) −0.062 
BF7 = BF1 * max(0, 0.364 −Dr) 0.034 
BF8 = max(0, θ +1.91) −0.013 
BF9 = max(0, −1.91 −θ0.006 
BF10 = BF1 * max(0, −3.81 −θ−0.003 
BF11 = max(0, θ −5.71) 0.002 
BF12 = BF4 * max(0, 0.708 −fr44.688 
BF13 = max(0, θ +9) * max(0, δ* − 4.17) −0.002 
BF14 = BF9 * max(0, δ* − 3.96) 0.004 
BF15 = BF9 * max(0, 3.96 −δ*) −0.004 
BF16 = max(0, θ +3.81) 0.011 
BF17 = max(0, 5.71 -θ) * max(0, 0.269 −Dr) −0.003 
BF18 = max(0, θ +9) * max(0, δ* − 3.91) 0.003 
BF19 = BF16 * max(0, 1.28 -Ar0.007 
BF20 = BF16 * max(0, fr −0.82) −0.236 
BF functionsCoefficients
BF1 = max(0, δ* − 1.87) −0.035 
BF2 = max(0, 1.87 −δ*) 0.046 
BF3 = BF1 * max(0, 0.0011 −So33.067 
BF4 = max(0, So −0.00099) 16.524 
BF5 = max(0, 0.00099 −So−533.352 
BF6 = BF1 * max(0, β − 0.364) −0.062 
BF7 = BF1 * max(0, 0.364 −Dr) 0.034 
BF8 = max(0, θ +1.91) −0.013 
BF9 = max(0, −1.91 −θ0.006 
BF10 = BF1 * max(0, −3.81 −θ−0.003 
BF11 = max(0, θ −5.71) 0.002 
BF12 = BF4 * max(0, 0.708 −fr44.688 
BF13 = max(0, θ +9) * max(0, δ* − 4.17) −0.002 
BF14 = BF9 * max(0, δ* − 3.96) 0.004 
BF15 = BF9 * max(0, 3.96 −δ*) −0.004 
BF16 = max(0, θ +3.81) 0.011 
BF17 = max(0, 5.71 -θ) * max(0, 0.269 −Dr) −0.003 
BF18 = max(0, θ +9) * max(0, δ* − 3.91) 0.003 
BF19 = BF16 * max(0, 1.28 -Ar0.007 
BF20 = BF16 * max(0, fr −0.82) −0.236 
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