“…It is observed for a wide variety of natural terrain (Smith, 2014), including the surface of Mars (Orosei et al, 2003), volcanic lava (Morris et al, 2008), and alluvial channels (Robert, 1988). If widely present, the self-affinity of subglacial roughness poses a challenge for integrating topographic roughness with existing glacial radar scattering models (Berry, 1973;Peters et al, 2005;MacGregor et al, 2013;Schroeder et al, 2015). This is because these are statistically stationary models which assume that roughness is independent of horizontal length scale, and hence an artificial scale separation between high-frequency roughness and low-frequency topography is present (Berry, 1973).…”