“…Previous studies on gully morphology have mostly focused on the cross-sectional or longitudinal profile (Billi & Dramis, 2003;Cheng et al, 2007;Deng, Qin, et al, 2015;Gabet & Bookter, 2008;Valentin, Poesen, & Li, 2005;Vandekerckhove et al, 2000;Zhang, Wu, Liu, Zheng, & Yin, 2007), but the shoulder line typically lacks planar morphology (Deng, Miao, et al, 2015). Compared with accuracy assessments based on gully length, area, and volume (Perroy et al, 2010), this study focused on the gully shape described by fractal dimension.…”