Infiltration model IWC/% Fitting formula of IR R2 RMSE
GF 4.7 \(i\left(t\right)=0.0475\bullet\exp\left(-\left(\frac{t-581}{127}\right)^{2}\right)+0.0047\) 0.5523 0.01140
6.2 \(i\left(t\right)=0.0715\bullet\exp\left(-\left(\frac{t-352}{117}\right)^{2}\right)+0.0963\) 0.6102 0.01758
9.6 \(i\left(t\right)=0.1408\bullet\exp\left(-\left(\frac{t-326}{92}\right)^{2}\right)+0.0236\) 0.4663 0.02651
GMF 4.7 \(i\left(t\right)=12.5\frac{{34^{12}\left|t-180\right|}^{11\ }}{\Gamma\left(12\right)}e^{-34\left|t-180\right|}+0.00395\) 0.6782 0.00635
6.2 \(i\left(t\right)=17.2\frac{{40^{6.7}\left|t-113\right|}^{5.7}}{\Gamma\left(6.7\right)}e^{-40\left|t-113\right|}+0.00941\) 0.7131 0.00542
9.6 \(i\left(t\right)=27.1\frac{{38^{7\ \ }\left|t-125\right|}^{6\ \ \ \ \ }}{\Gamma\left(7\right)}e^{-38\left|t-125\right|}+0.01885\) 0.7334 0.00453
Fourth-order FSF
4.7
\[i\left(t\right)=0.0083+0.0004\bullet sin\left(0.0059\bullet t\right)-0.0049\bullet sin\left(0.0059\bullet t\right)\] \[\ \ \ \ \ \ \ \ \ \ -0.0003\bullet sin\left(0.0059\bullet t\right)-0.0011\bullet sin\left(0.0059\bullet t\right)\] \[\ \ \ \ \ \ \ \ \ \ \ -0.0025\bullet cos\left(0.0059\bullet t\right)+0.0021\bullet cos\left(0.0059\bullet t\right)\] \[\ \ \ \ \ \ \ \ \ \ \ -0.0031\bullet cos\left(0.0059\bullet t\right)+0.0009\bullet cos\left(0.0059\bullet t\right)\]
0.6246
0.00974
6.2
\[i\left(t\right)=0.0212+0.0121\bullet sin\left(0.0084\bullet t\right)-0.0155\bullet sin\left(0.0084\bullet t\right)\] \[\ \ \ \ \ \ \ \ \ \ -0.0064\bullet sin\left(0.0084\bullet t\right)+0.0035\bullet sin\left(0.0084\bullet t\right)\] \[\ \ \ \ \ \ \ \ \ \ \ -0.0037\bullet cos\left(0.0084\bullet t\right)+0.0063\bullet cos\left(0.0084\bullet t\right)\] \[\ \ \ \ \ \ \ \ \ \ \ -0.0049\bullet cos\left(0.0084\bullet t\right)-0.0029\bullet cos\left(0.0084\bullet t\right)\]
0.7612
0.01475
9.6
\[i\left(t\right)=0.0264+0.0040\bullet sin\left(0.0065\bullet t\right)+0.0056\bullet sin\left(0.0065\bullet t\right)\] \[\ \ \ \ \ \ \ \ \ \ -0.0128\bullet sin\left(0.0065\bullet t\right)-0.0036\bullet sin\left(0.0065\bullet t\right)\] \[\ \ \ \ \ \ \ \ \ \ \ -0.0077\bullet cos\left(0.0065\bullet t\right)+0.0013\bullet cos\left(0.0065\bullet t\right)\] \[\ \ \ \ \ \ \ \ \ \ \ -0.0128\bullet cos\left(0.0065\bullet t\right)-0.0011\bullet cos\left(0.0065\bullet t\right)\]
0.6772
0.02219