Earth Surface Dynamics
Earth Surface Dynamics
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Articles | Volume 13, issue 3
Articles | Volume 13, issue 3
https://doi.org/10.5194/esurf-13-403-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/esurf-13-403-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 13, issue 3
Research article
 | 
19 May 2025
Research article |  | 19 May 2025

A fractal framework for channel–hillslope coupling

Benjamin Kargère, José Constantine, Tristram Hales, Stuart Grieve, and Stewart Johnson

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Cited articles

Anand, S. K., Hooshyar, M., and Porporato, A.: Linear layout of multiple flow-direction networks for landscape-evolution simulations, Environ. Model. Softw., 133, 104804, https://doi.org/10.1016/j.envsoft.2020.104804, 2020. a, b
Anand, S. K., Bonetti, S., Camporeale, C., and Porporato, A.: Inception of Regular Valley Spacing in Fluvial Landscapes: A Linear Stability Analysis, J. Geophys. Res.-Earth, 127, e2022JF006716, https://doi.org/10.1029/2022JF006716, 2022. a
Anand, S. K., Bertagni, M. B., Drivas, T. D., and Porporato, A.: Self-similarity and vanishing diffusion in fluvial landscapes, P. Natl. Acad. Sci. USA, 120, e2302401120, https://doi.org/10.1073/pnas.2302401120, 2023. a, b, c, d, e
Andrews, D. J. and Bucknam, R. C.: Fitting degradation of shoreline scarps by a nonlinear diffusion model, J. Geophys. Res.-Sol. Ea., 92, 12857–12867, https://doi.org/10.1029/JB092iB12p12857, 1987. a, b
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In this study, we analyze contributing drainage regions, a proxy for discharge in channel–hillslope coupling using landscape evolution models. We present a fractal framework which reveals that drainage area is not well defined for steady-state unchannelized locations. This clarifies the interaction between geomorphic parameters and grid resolution, furthering our understanding of channel–hillslope interactions in both computational and real-world settings.
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