## 3 Results
### Applying RF Model
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**Factor**} & \multirow{2}{*}{**Class**} & \multirow{2}{*}{**Number of Pixels**} & \multirow{2}{*}{**Pixels of Gullies**} & \multicolumn{6}{c}{**Weights-of-Evidence (WoE)**} \\ \cline{5-8}  & & & & **C** & **S2 (w\({}^{\star}\))** & **S2 (w\({}^{\star}\))** & **S** & **W** \\ \hline \multirow{8}{*}{3} & Flat & 16,770 & 2 & \(-3.22\) & 0.50 & 0.00 & 0.71 & \(-4.55\) \\  & N & 72,345 & 208 & \(-0.01\) & 0.00 & 0.00 & 0.07 & \(-0.19\) \\  & NE & 79,383 & 209 & \(-0.11\) & 0.00 & 0.00 & 0.07 & \(-1.52\) \\  & E & 72,794 & 43 & \(-1.66\) & 0.02 & 0.00 & 0.15 & \(-10.81\) \\  & SE & 91,567 & 54 & \(-1.68\) & 0.02 & 0.00 & 0.14 & \(-12.24\) \\  & S & 114,731 & 246 & \(-0.34\) & 0.00 & 0.00 & 0.07 & \(-5.13\) \\  & SW & 119,263 & 396 & 0.15 & 0.00 & 0.00 & 0.05 & 2.81 \\  & W & 142,533 & 459 & 0.12 & 0.00 & 0.00 & 0.05 & 2.35 \\  & NW & 232,693 & 1126 & 0.76 & 0.00 & 0.00 & 0.04 & 19.46 \\ \hline \multirow{8}{*}{4} & Concave & 54,613 & 1493 & 2.99 & 0.00 & 0.00 & 0.04 & 78.04 \\  & Flat & 574,180 & 749 & \(-1.43\) & 0.00 & 0.00 & 0.04 & \(-33.33\) \\  & Convex & 313,286 & 501 & \(-0.80\) & 0.00 & 0.00 & 0.05 & \(-16.27\) \\ \hline \multirow{8}{*}{5} & \(<\)\(\mathcal{I}\) & 24,272 & 63 & 0.00 & 0.00 & 0.00 & 0.02 & \(-0.15\) \\  & 5–\(\mathcal{I}\)-5 & 42,453 & 91 & \(-0.32\) & 0.01 & 0.00 & 0.11 & \(-3.00\) \\  & 5–\(\mathcal{I}\)-5 & 89,328 & 225 & \(-0.16\) & 0.00 & 0.00 & 0.07 & \(-2.29\) \\  & \(>\)11 & 786,026 & 2364 & 0.21 & 0.00 & 0.00 & 0.06 & 3.87 \\ \hline \multirow{8}{*}{6} & \(<\)0 & 75,370 & 26 & \(-2.21\) & 0.04 & 0.00 & 0.20 & \(-11.21\) \\  & 0–10 & 776,920 & 2534 & 0.95 & 0.00 & 0.00 & 0.07 & \(13.18\) \\  & \(>\)10 & 89,789 & 183 & \(-0.39\) & 0.01 & 0.00 & 0.08 & \(-5.08\) \\ \hline \multirow{8}{*}{7} & \(<\)170 & 382,383 & 522 & \(-1.07\) & 0.00 & 0.00 & 0.05 & \(-21.99\) \\  & 170\(\sim\)370 & 329,586 & 835 & \(-0.21\) & 0.00 & 0.00 & 0.04 & \(-4.99\) \\  & 370\(\sim\)650 & 179,671 & 914 & 0.75 & 0.00 & 0.00 & 0.04 & \(18.62\) \\  & \(>\)650 & 50,444 & 472 & 1.31 & 0.00 & 0.00 & 0.05 & \(25.86\) \\ \hline \multirow{8}{*}{8} & \(<\)500 & 90,285 & 0 & \(-0.10\) & 0.00 & 0.00 & 0.02 & \(-5.29\) \\  & 500\(\sim\)1500 & 102,453 & 0 & \(-0.12\) & 0.00 & 0.00 & 0.02 & \(-6.05\) \\  & 1500–3000 & 113,685 & 12 & \(-3.44\) & 0.08 & 0.00 & 0.29 & \(-11.91\) \\  & \(>\)3000 & 635,661 & 2731 & 4.70 & 0.00 & 0.08 & 0.29 & \(16.25\) \\ \hline \multirow{8}{*}{9} & \(<\)1.4 & 277,251 & 1150 & 0.55 & 0.00 & 0.00 & 0.04 & \(14.23\) \\  & 1.4–\(\mathcal{I}\)-2.4 & 353,215 & 1000 & \(-0.04\) & 0.00 & 0.00 & \(0.04\) & \(-1.12\) \\  & 2.4–\(\mathcal{I}\)-3.7 & 231,503 & 573 & \(-0.21\) & 0.00 & 0.00 & 0.05 & \(-4.49\) \\  & \(>\)3.7 & 80,115 & 20 & \(-2.54\) & 0.05 & 0.00 & 0.22 & \(-11.32\) \\ \hline \multirow{8}{*}{10} & Murmg & 144,412 & 1544 & 1.97 & 0.00 & 0.00 & 0.04 & \(51.23\) \\  & Qft2 & 617,176 & 417 & \(-2.36\) & 0.00 & 0.00 & 0.05 & \(-44.47\) \\  & Ku & 23,972 & 0 & \(-0.03\) & 0.00 & 0.00 & 0.02 & \(-1.35\) \\  & Jd & 18,232 & 0 & \(-0.02\) & 0.00 & 0.00 & 0.02 & \(-1.03\) \\  & PeEz & 1449 & 0 & 0.00 & 0.00 & 0.00 & 0.02 & \(-0.08\) \\  & PQC & 71,058 & 600 & 1.24 & 0.00 & 0.00 & 0.05 & \(26.85\) \\  & Jl & 3,274 & 0 & 0.00 & 0.00 & 0.00 & 0.02 & \(-0.18\) \\  & E2c & 58,380 & 174 & 0.03 & 0.01 & 0.00 & 0.08 & \(0.33\) \\  & E1c & 4,820 & 8 & \(-0.56\) & 0.13 & 0.00 & 0.35 & \(-1.60\) \\ \hline \multirow{8}{*}{11} & Range & 708,879 & 2669 & 2.48 & 0.00 & 0.01 & 0.12 & \(21.02\) \\  & Farming & 193,682 & 33 & \(-3.06\) & 0.03 & 0.00 & 0.18 & \(-17.47\) \\  & Bare land & 39,523 & 41 & \(-1.06\) & 0.02 & 0.00 & 0.16 & \(-6.75\) \\ \hline \multirow{8}{*}{12} & \(<\)0.11 & 863,198 & 2743 & 0.09 & 0.00 & 0.00 & 0.02 & \(4.59\) \\  & 0.11–0.25 & 56,745 & 0 & \(-0.06\) & 0.00 & 0.00 & 0.02 & \(-3.26\) \\Prioritization results of RF are shown in Table 5 and Figure 4. The results show that the distance from roads (381.67, 22%), elevation (335.06, 19%), and lithology (234.21, 14%) had the highest values, followed by slope degree, drainage density, distance from river, NDVI, convergence index, slope aspect, TWI, plan curvature, and LU/LC.