Infiltration model
IWC/%
Fitting formula of IR
R2
RMSE
KF 4 \(i(t){=0.0804t}^{-0.2805}\) 0.9281 0.00639
8 \(i(t){=0.2121t}^{-0.4149}\) 0.9246 0.01253
12 \(i(t){=0.5920t}^{-0.5843}\) 0.9408 0.02236
GF 4 \(i\left(t\right)=0.0695\bullet\exp\left(-\left(\frac{t+864}{1027}\right)^{2}\right)+0.0065\) 0.8251 0.00700
8 \(i\left(t\right)=0.3069\bullet\exp\left(-\left(\frac{t+817}{1510}\right)^{2}\right)+0.0087\) 0.7694 0.01273
12 \(i\left(t\right)=0.0444\bullet\exp\left(-\left(\frac{t+737}{1138}\right)^{2}\right)+0.0091\) 0.7672 0.02345
FSF 4 \(\text{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ i}\left(t\right)=283900.031-104.2\sin{(5.708\times 10^{-7}\bullet t)}\operatorname{+283900cos}{(5.708\times 10^{-7}\bullet t)}\) 0.8002 0.00631
8 \(i\left(t\right)=172100.035-78.57\sin{(7.888\times 10^{-7}\bullet t)}\operatorname{+172100cos}{(7.888\times 10^{-7}\bullet t)}\) 0.6783 0.01005
12 \(i\left(t\right)=313600.570-159.2\sin{(9.103\times 10^{-7}\bullet t)}\operatorname{+313600cos}{(9.103\times 10^{-7}\bullet t)}\) 0.6635 0.01898
GMF 4 \(i\left(t\right)=7\frac{{100^{0.5}t}^{-0.5}}{\Gamma\left(0.5\right)}e^{-100t}+0.00165\) 0.8912 0.00728
8 \(i\left(t\right)=8\frac{{107^{0.5}t}^{-0.5}}{\Gamma\left(0.5\right)}e^{-107t}+0.00195\) 0.9620 0.01418
12 \(i\left(t\right)=9\frac{{126^{0.5}t}^{-0.5}}{\Gamma\left(0.5\right)}e^{-126t}+0.00219\) 0.9526 0.02234
BF 4 \(i\left(t\right)=0.1842\frac{\Gamma\left(0.35\right)\Gamma\left(1.2\right)}{\Gamma\left(1.55\right)}\left(\frac{t}{800}\right)^{-0.65}\left(1-\frac{t}{800}\right)^{0.2}+0.0107\) 0.9176 0.00712
8 \(i\left(t\right)=0.3227\frac{\Gamma\left(0.45\right)\Gamma\left(1.2\right)}{\Gamma\left(1.65\right)}\left(\frac{t}{800}\right)^{-0.55}\left(1-\frac{t}{800}\right)^{0.2}+0.0053\) 0.9637 0.01711
12 \(i\left(t\right)=0.4796\frac{\Gamma\left(0.55\right)\Gamma\left(1.2\right)}{\Gamma\left(1.75\right)}\left(\frac{t}{800}\right)^{-0.45}\left(1-\frac{t}{800}\right)^{0.2}+0.0012\) 0.9580 0.02486