Articles | Volume 8, issue 2
https://doi.org/10.5194/esurf-8-505-2020
https://doi.org/10.5194/esurf-8-505-2020
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

Related authors

Graphically interpreting how incision thresholds influence topographic and scaling properties of modeled landscapes
Nikos Theodoratos and James W. Kirchner
Earth Surf. Dynam., 9, 1545–1561, https://doi.org/10.5194/esurf-9-1545-2021,https://doi.org/10.5194/esurf-9-1545-2021, 2021
Short summary
Scaling and similarity of a stream-power incision and linear diffusion landscape evolution model
Nikos Theodoratos, Hansjörg Seybold, and James W. Kirchner
Earth Surf. Dynam., 6, 779–808, https://doi.org/10.5194/esurf-6-779-2018,https://doi.org/10.5194/esurf-6-779-2018, 2018
Short summary

Related subject area

Physical: Landscape Evolution: modelling and field studies
Flexural isostatic response of continental-scale deltas to climatically driven sea level changes
Sara Polanco, Mike Blum, Tristan Salles, Bruce C. Frederick, Rebecca Farrington, Xuesong Ding, Ben Mather, Claire Mallard, and Louis Moresi
Earth Surf. Dynam., 12, 301–320, https://doi.org/10.5194/esurf-12-301-2024,https://doi.org/10.5194/esurf-12-301-2024, 2024
Short summary
Scaling between volume and runout of rock avalanches explained by a modified Voellmy rheology
Stefan Hergarten
Earth Surf. Dynam., 12, 219–229, https://doi.org/10.5194/esurf-12-219-2024,https://doi.org/10.5194/esurf-12-219-2024, 2024
Short summary
Past anthropogenic land use change caused a regime shift of the fluvial response to Holocene climate change in the Chinese Loess Plateau
Hao Chen, Xianyan Wang, Yanyan Yu, Huayu Lu, and Ronald Van Balen
Earth Surf. Dynam., 12, 163–180, https://doi.org/10.5194/esurf-12-163-2024,https://doi.org/10.5194/esurf-12-163-2024, 2024
Short summary
Steady-state forms of channel profiles shaped by debris flow and fluvial processes
Luke A. McGuire, Scott W. McCoy, Odin Marc, William Struble, and Katherine R. Barnhart
Earth Surf. Dynam., 11, 1117–1143, https://doi.org/10.5194/esurf-11-1117-2023,https://doi.org/10.5194/esurf-11-1117-2023, 2023
Short summary
Refining patterns of melt with forward stratigraphic models of stable Pleistocene coastlines
Patrick Boyden, Paolo Stocchi, and Alessio Rovere
Earth Surf. Dynam., 11, 917–931, https://doi.org/10.5194/esurf-11-917-2023,https://doi.org/10.5194/esurf-11-917-2023, 2023
Short summary

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. 
Download
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.