Fig. 1

Fig. 2

Fig. 3

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Fig. 5

Characteristics of gauging weather stations used in this study (acc_ BMKG Station Class I Pulau Baai, Bengkulu)_
| No | Station | Coordinates | Length of record | Elevation | Month Rainfall | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| Latitude | Longitude | min | max | μ | σ | |||||
| [S] | [E] | Period | Years | [m] | [mm] | |||||
| 1 | Anak Dalam | −3.70339 | 102.46 | 2010–2020 | 11 | 149 | 27 | 601 | 256 | 131 |
| 2 | Jayakarta | −3.815 | 102.37 | 2008–2020 | 13 | 39 | 20 | 763 | 261 | 154 |
| 3 | Merigi Sakti | −3.65281 | 102.4022 | 2011–2020 | 10 | 149 | 10 | 854 | 303 | 157 |
| 4 | Taba Penanjung | −3.70339 | 102.5112 | 2006–2020 | 15 | 149 | 19 | 773 | 312 | 158 |
| 5 | Karang Tinggi | −3.74707 | 102.4333 | 2013–2020 | 8 | 84 | 13 | 717 | 253 | 141 |
| 6 | Pagar Jati | −3.60677 | 102.381 | 2010–2020 | 11 | 136 | 49 | 476 | 249 | 93 |
| 7 | RM Liku Sembilan | −3.69774 | 102.5264 | 2014–2020 | 7 | 149 | 114 | 478 | 261 | 84 |
| 8 | Tanjung Heran | −3.67209 | 102.5454 | 2014–2020 | 7 | 149 | 102 | 550 | 268 | 105 |
| 9 | Taba Teret | −3.68685 | 102.5339 | 2014–2020 | 7 | 149 | 128 | 509 | 261 | 93 |
| 10 | Talang empat | −3.78407 | 102.3635 | 2010–2020 | 10 | 30 | 49 | 667 | 257 | 113 |
| 11 | Muara Bangkahulu | −3.768 | 102.29 | 2010–2020 | 11 | 30 | 11 | 606 | 231 | 125 |
| 12 | Padang Harapan | −3.82169 | 102.29 | 2011–2020 | 10 | 30 | 6 | 834 | 249 | 156 |
| 13 | Meteo Bengkulu | −3.863 | 102.328 | 2011–2020 | 10 | 30 | 5 | 591 | 249 | 143 |
| 14 | Tanjung Agung | −3.79222 | 102.3204 | 2010–2020 | 11 | 29 | 23 | 927 | 297 | 176 |
| 15 | UNIB | −3.75894 | 102.27 | 2011–2020 | 10 | 8.5 | 16 | 585 | 262 | 143 |
| 16 | Pulau Baai | −3.881 | 102.308 | 2006–2020 | 15 | 20 | 14 | 609 | 266 | 136 |
| 17 | Talang Pauh | −3.694 | 102.25 | 2011–2020 | 10 | 24 | 11 | 1033 | 294 | 192 |
| 18 | Disperta Bengkulu | −3.81271 | 102.3061 | 2016–2020 | 5 | 8.5 | 75 | 491 | 247 | 93 |
| 19 | Fatmawati | −3.85826 | 102.3368 | 2011–2020 | 10 | 24 | 5 | 764 | 263 | 156 |
Test statistical analysis results for monthly erosivity density (ED)_
| No | Station | Eq. Regression | Spearman's Rho | Mann Kendall | Trend | ||||
|---|---|---|---|---|---|---|---|---|---|
| r2 | β1 | β0 | rs | Zsr | s | Zs | |||
| 1 | Anak Dalam | 0.938* | 0.005 | −0.698 | 0.963* | 40.427 | −436 | −0.473 | Decreasing |
| 2 | Jayakarta | 0.879* | 0.005 | −0.498 | 0.929* | 31.512 | −10 | −0.381 | Decreasing |
| 3 | Merigi Sakti | 0.911* | 0.005 | −0.666 | 0.964* | 39.215 | 147 | 0.181 | Increasing |
| 4 | Taba Penanjung | 0.937* | 0.004 | −0.524 | 0.972* | 55.033 | 416 | 0.278 | Increasing |
| 5 | Karang Tinggi | 0.969* | 0.006 | −0.731 | 0.986* | 57.025 | 28 | 0.047 | Increasing |
| 6 | Pagar Jati | 0.923* | 0.006 | −0.668 | 0.956* | 37.012 | −69 | −0.075 | Decreasing |
| 7 | RM Liku Sembilan | 0.970* | 0.005 | −0.469 | 0.989* | 60.176 | −287 | 0.612 | Increasing |
| 8 | Tanjung Heran | 0.984* | 0.005 | −0.643 | 0.994* | 81.788 | −147 | 0.314 | Increasing |
| 9 | Taba Teret | 0.989* | 0.005 | −0.657 | 0.993* | 75.664 | −24 | 0.053 | Increasing |
| 10 | Talang empat | 0.949* | 0.005 | −0.680 | 0.980* | 55.934 | −104 | −0.112 | Decreasing |
| 11 | Muara Bangkahulu | 0.863* | 0.005 | −0.400 | 0.949* | 34.188 | 396 | 0.423 | Increasing |
| 12 | Padang Harapan | 0.881* | 0.005 | −0.516 | 0.950* | 32.909 | 137 | 0.168 | Increasing |
| 13 | Meteo Bengkulu | 0.887* | 0.005 | −0.455 | 0.953* | 34.024 | 188 | 0.321 | Increasing |
| 14 | Tanjung Agung | 0.942* | 0.005 | −0.716 | 0.974* | 48.831 | −29 | 0.032 | Increasing |
| 15 | UNIB | 0.913* | 0.004 | −0.505 | 0.957* | 35.684 | 75 | 0.092 | Increasing |
| 16 | Pulau Baai | 0.907* | 0.005 | −0.545 | 0.961* | 46.232 | −22 | −0.015 | Decreasing |
| 17 | Talang Pauh | 0.795* | 0.004 | −0.301 | 0.904* | 22.871 | 151 | 0.186 | Increasing |
| 18 | Disperta Bengkulu | 0.967* | 0.005 | −0.592 | 0.993* | 75.664 | −19 | 0.042 | Increasing |
| 19 | Fatmawati | 0.960* | 0.005 | −0.623 | 0.978* | 50.712 | 147 | 0.181 | Increasing |
Homogeneity test (Bartlett's test) and statistic Shapiro-Wilk's (SW) parametric test on the weather stations_
| No | Station | Homogeneity | Normality | ||||
|---|---|---|---|---|---|---|---|
| Rainfall | Rainfall erosivity | Erosivity density | Rainfall | Rainfall erosivity | Erosivity density | ||
| 1 | Anak Dalam | S | NS | NS | S | S | S |
| 2 | Jayakarta | S | NS | NS | S | S | S |
| 3 | Merigi Sakti | S | NS | NS | S | S | S |
| 4 | Taba Penanjung | S | NS | NS | S | S | S |
| 5 | Karang Tinggi | NS | NS | NS | S | S | S |
| 6 | Pagar Jati | S | NS | NS | S | S | S |
| 7 | RM Liku Sembilan | S | NS | NS | S | S | S |
| 8 | Tanjung Heran | NS | S | NS | S | S | S |
| 9 | Taba Teret | S | NS | NS | S | S | S |
| 10 | Talang empat | S | NS | NS | S | S | S |
| 11 | Muara Bangkahulu | S | NS | NS | S | S | S |
| 12 | Padang Harapan | S | NS | NS | S | S | S |
| 13 | Meteo Bengkulu | S | NS | NS | S | S | S |
| 14 | Tanjung Agung | S | NS | NS | S | S | S |
| 15 | UNIB | NS | S | NS | S | S | S |
| 16 | Pulau Baai | NS | S | NS | S | S | S |
| 17 | Talang Pauh | S | NS | NS | S | S | S |
| 18 | Disperta Bengkulu | S | NS | NS | S | S | S |
| 19 | Fatmawati | S | NS | NS | S | S | S |
Test statistical analysis results for monthly rainfall erosivity_
| No | Station | Eq. Regression | Spearman's Rho | Mann Kendall | Trend | ||||
|---|---|---|---|---|---|---|---|---|---|
| r2 | β1 | β0 | rs | Zsr | s | Zs | |||
| 1 | Anak Dalam | 0.971* | 3.950 | −762.095 | 0.983* | 60.572 | −205 | −0.223 | Decreasing |
| 2 | Jayakarta | 0.953* | 3.021 | 501.154 | 0.974* | 53.353 | 993 | 0.825 | Increasing |
| 3 | Merigi Sakti | 0.948* | 3.535 | −720.338 | 0.984* | 59.739 | 303 | 0.374 | Increasing |
| 4 | Taba Penanjung | 0.964* | 2.730 | 509.743 | 0.986* | 78.670 | 725 | 0.485 | Increasing |
| 5 | Karang Tinggi | 0.983* | 3.651 | −637.470 | 0.993* | 81.075 | 159 | 0.090 | Increasing |
| 6 | Pagar Jati | 0.966* | 1.975 | −553.189 | 0.981* | 57.431 | −36 | −0.040 | Decreasing |
| 7 | RM Liku Sembilan | 0.980* | 2.476 | −457.674 | 0.994* | 81.778 | −354 | −0.754 | Decreasing |
| 8 | Tanjung Heran | 0.990* | 2.529 | −450.889 | 0.997* | 115.928 | −171 | −3.65 | Decreasing |
| 9 | Taba Teret | 0.989* | 2.509 | −449.931 | 0.997* | 115.928 | −55 | −0.119 | Decreasing |
| 10 | Talang empat | 0.972* | 2.998 | −529.242 | 0.992* | 89.252 | −134 | −0.145 | Decreasing |
| 11 | Muara Bangkahulu | 0.921* | 2.251 | −296.683 | 0.978* | 53.249 | 713 | 0.762 | Increasing |
| 12 | Padang Harapan | 0.937* | 3.426 | −539.441 | 0.979* | 51.945 | 339 | 0.418 | Increasing |
| 13 | Meteo Bengkulu | 0.949* | 2.832 | −440.186 | 0.978* | 50.712 | 254 | 0.313 | Increasing |
| 14 | Tanjung Agung | 0.974* | 3.740 | −726.421 | 0.988* | 72.653 | 8 | 0.007 | Increasing |
| 15 | UNIB | 0.962* | 2.900 | −498.657 | 0.981* | 54.694 | 182 | 0.224 | Increasing |
| 16 | Pulau Baai | 0.956* | 2.739 | −462.022 | 0.980* | 65.519 | 125 | 0.083 | Increasing |
| 17 | Talang Pauh | 0.910* | 2.640 | −431.255 | 0.962* | 38.109 | 131 | 0.161 | Increasing |
| 18 | Disperta Bengkulu | 0.971* | 2.414 | −392.646 | 0.996* | 84.156 | −24 | −0.053 | Decreasing |
| 19 | Fatmawati | 0.983* | 3.422 | −585.485 | 0.990* | 75.910 | −161 | −0.200 | Decreasing |