Figure 1
From: Experimental evidence that rill-bed morphology is governed by emergent nonlinear spatial dynamics

Feedback between rill-flow hydraulics and rill-bed roughness regulate sediment transport capacity. Rill flow velocity increases with hillside slope and flow discharge; rill bed roughness increases due to greater flow erosivity; and rill flow velocity decreases due to greater hydrologic friction, thereby counteracting the initial increasing impact of hillside slope. This feedback mechanism results in reduced erosivity and sediment transport capacity of an established rill.