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ESurf | Articles | Volume 8, issue 2
Earth Surf. Dynam., 8, 505–526, 2020
https://doi.org/10.5194/esurf-8-505-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
Earth Surf. Dynam., 8, 505–526, 2020
https://doi.org/10.5194/esurf-8-505-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

Research article 04 Jun 2020

Research article | 04 Jun 2020

Dimensional analysis of a landscape evolution model with incision threshold

Nikos Theodoratos and James W. Kirchner

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Cited articles

Buckingham, E.: On physically similar systems; illustrations of the use of dimensional equations, Phys. Rev., 4, 345–376, 1914. 
Deal, E., Braun, J., and Botter, G.: Understanding the role of rainfall and hydrology in determining fluvial erosion efficiency, J. Geophys. Res.-Earth, 123, 744–778, https://doi.org/10.1002/2017JF004393, 2018. 
DiBiase, R. A. and Whipple, K. X.: The influence of erosion thresholds and runoff variability on the relationships among topography, climate, and erosion rate, J. Geophys. Res., 116, F04036, https://doi.org/10.1029/2011JF002095, 2011. 
Dietrich, W. E., Bellugi, D. G., Sklar, L. S., Stock, J. D., Heimsath, A. M., and Roering, J. J.: Geomorphic Transport Laws for Predicting Landscape form and Dynamics, in: Prediction in Geomorphology, Geophysical Monograph Series 135, edited by: Wilcock, P. R. and Iverson, R. M., American Geophysical Union, Washington, D.C., USA, 103–132, https://doi.org/10.1029/135GM09, 2003. 
Goren, L., Willett, S. D., Herman, F., and Braun, J.: Coupled numerical–analytical approach to landscape evolution modeling, Earth Surf. Proc. Land., 39, 522–545, 2014. 
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Short summary
We non-dimensionalized a commonly used model of landscape evolution that includes an incision threshold. Whereas the original model included four parameters, we obtained a dimensionless form with a single parameter, which quantifies the relative importance of the incision threshold. Working with this form saves computational time and simplifies theoretical analyses.
We non-dimensionalized a commonly used model of landscape evolution that includes an incision...
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