Articles | Volume 9, issue 2
https://doi.org/10.5194/esurf-9-317-2021
https://doi.org/10.5194/esurf-9-317-2021
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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Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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AR: Author's response | RR: Referee report | ED: Editor decision
AR by Tyler Doane on behalf of the Authors (08 Dec 2020)  Author's response   Manuscript 
ED: Referee Nomination & Report Request started (20 Dec 2020) by Paola Passalacqua
ED: Publish subject to minor revisions (review by editor) (15 Feb 2021) by Paola Passalacqua
AR by Tyler Doane on behalf of the Authors (25 Feb 2021)  Author's response   Author's tracked changes   Manuscript 
ED: Publish as is (26 Feb 2021) by Paola Passalacqua
ED: Publish as is (05 Mar 2021) by Andreas Lang (Editor)
AR by Tyler Doane on behalf of the Authors (14 Mar 2021)
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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.