Authors
Joshua J Roering, James W Kirchner, William E Dietrich
Publication date
1999/3
Journal
Water Resources Research
Volume
35
Issue
3
Pages
853-870
Description
Steep, soil‐mantled hillslopes evolve through the downslope movement of soil, driven largely by slope‐dependent transport processes. Most landscape evolution models represent hillslope transport by linear diffusion, in which rates of sediment transport are proportional to slope, such that equilibrium hillslopes should have constant curvature between divides and channels. On many soil‐mantled hillslopes, however, curvature appears to vary systematically, such that slopes are typically convex near the divide and become increasingly planar downslope. This suggests that linear diffusion is not an adequate model to describe the entire morphology of soil‐mantled hillslopes. Here we show that the interaction between local disturbances (such as rainsplash and biogenic activity) and frictional and gravitational forces results in a diffusive transport law that depends nonlinearly on hillslope gradient. Our proposed …
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