“…Under dynamic equilibrium conditions, the active layer model predicts tracer sediment to be advected downstream at a mean speed inversely proportional to the active layer thickness without dispersing (Iwasaki et al, 2017). However, traced sediment particles are observed to disperse as they move downstream both in the field (e.g., Bradley & Tucker, 2012;Bradley, 2017;Drake et al, 1988;Hassan et al, 1991;Nikora et al, 2002;Rathbun et al, 1971;Sayre & Hubbell, 1965) and in the laboratory (e.g., Hill et al, 2010;Martin et al, 2012;Roseberry et al, 2012). The active layer model is presented in two forms (Parker et al, 2000): (1) the flux form, in which the sediment transport rate is computed and changes in bed elevation and bed surface texture depend on the gradient of the sediment transport rate, and (2) in entrainment-deposition form, in which the rates at which sediment is entrained and deposited are computed and changes occur due their difference.…”