Earth Surface Dynamics
Earth Surface Dynamics
ESurf
Articles | Volume 9, issue 2
Articles | Volume 9, issue 2
https://doi.org/10.5194/esurf-9-317-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/esurf-9-317-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 9, issue 2
Research article
 | 
16 Apr 2021
Research article |  | 16 Apr 2021

Hack distributions of rill networks and nonlinear slope length–soil loss relationships

Tyler H. Doane, Jon D. Pelletier, and Mary H. Nichols

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Latest update: 30 Mar 2025
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Short summary
This paper explores how the geometry of rill networks contributes to observed nonlinear relationships between soil loss and hillslope length. This work develops probability functions of geometrical quantities of the networks and then extends the theory to hydraulic variables by relying on well-known relationships. Theory is complemented by numerical modeling on numerical and natural surfaces. Results suggest that the particular arrangement of rill networks contributes to nonlinear relationships.
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