The spatial distribution of interrill and rill erosion is essential for unravelling soil erosion principles and the application of soil and water conservation practices.To quantify interrill and rill erosion and their spatial development,four 30-min rainfalls at 90 mm h-1 intensity were consecutively simulated on runoff plots packed with a loess at six slopes of 10°,15°,20°,25°,30° and 35°.The soil surface was measured using the structure from motion(SfM)photogrammetry upon each simulation run,and the runoff and sediment samples were collected and measured at every 10 min.Rills did not develop until the third simulation run.During the initial two runs,the lower third section was more severely eroded than the upper and middle thirds along the slope direction,yet the interrill erosion was statistically uniform from left to right.Rills tended to emerge by both sidewalls and in the lower portion in the third run.The corresponding rill erosion increased with slope from 10° to 20° and then decreased for the slopes steeper,which was consistent with the slope trend of the sediment yield directly measured.The rills expanded substantially primarily via head retreat and to a lesser extent via sideward erosion after receiving another 30-min rainfall.Rill erosion contributed 69.3％of the total erosion loss,and shifted the critical slope corresponding to the maximum loss from 20° to 25°.These findings demonstrate the significance of rill erosion not only in total soil loss but also in its relation to slope,as well as the effectiveness of SfM photogrammetry in quantifying interrill and rill erosion.

Tao He;Yang Yang;Yangzi Shi;Xiaozhen Liang;Suhua Fu;Gege Xie;Baoyuan Liu;Yingna Liu

State Key Laboratory of Earth Surface Processes and Resource Ecology,Faculty of Geographical Science,Beijing Normal University,Beijing,100875,China;School of Geography,Faculty of Geographical Science,Beijing Normal University,Beijing,100875,China;Beijing Key Laboratory of Environmental Remote Sensing and Digital Cities,Faculty of Geographical Science,Beijing Normal University,Beijing 100875,China;State Key Laboratory of Soil Erosion and Dryland Farming on the Loess Plateau,Chinese Academy of Sciences and Ministry of Water Resources,Yangling,712100,China

国际水土保持研究（英文）

[1]Tao He;Yang Yang;Yangzi Shi;Xiaozhen Liang;Suhua Fu;Gege Xie;Baoyuan Liu;Yingna Liu-.Quantifying spatial distribution of interrill and rill erosion in a loess at different slopes using structure from motion(SfM)photogrammetry)[J].国际水土保持研究（英文）,2022(03):393-406

unravelling,Rills,sideward,Rill

Quantifying,spatial,distribution,interrill,erosion,loess,different,slopes,using,structure,from,motion,SfM,photogrammetry,essential,soil,principles,application,water,conservation,practices,To,their,development,four,rainfalls,intensity,were,consecutively,simulated,runoff,plots,packed,six,surface,was,measured,upon,each,simulation,sediment,samples,collected,every,did,until,During,initial,two,runs,lower,section,more,severely,eroded,than,upper,middle,thirds,along,direction,yet,statistically,uniform,left,right,tended,emerge,by,both,sidewalls,portion,corresponding,increased,then,decreased,steeper,which,consistent,trend,yield,directly,rills,expanded,substantially,primarily,via,head,retreat,lesser,extent,after,receiving,another,contributed,total,loss,shifted,critical,maximum,These,findings,demonstrate,significance,only,also,its,relation,well,effectiveness,quantifying

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