Articles | Volume 8, issue 4
https://doi.org/10.5194/esurf-8-841-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/esurf-8-841-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
20 Oct 2020
Research article |
| 20 Oct 2020
| 20 Oct 2020
Transport-limited fluvial erosion – simple formulation and efficient numerical treatment
Stefan Hergarten
CORRESPONDING AUTHOR
Institut für Geo- und Umweltnaturwissenschaften, Albert-Ludwigs-Universität Freiburg, Albertstr. 23B, 79104 Freiburg, Germany
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Cited
19 citations as recorded by crossref.
- Theoretical and numerical considerations of rivers in a tectonically inactive foreland S. Hergarten https://doi.org/10.5194/esurf-10-671-2022
- Modeling large‐scale landform evolution with a stream power law for glacial erosion (OpenLEM v37): benchmarking experiments against a more process-based description of ice flow (iSOSIA v3.4.3) M. Liebl et al. https://doi.org/10.5194/gmd-16-1315-2023
- Parameter estimation of river incision models of soft sedimentary rocks – a case study on the Kamikita Coastal Plain, northeast Japan S. Takai et al. https://doi.org/10.5194/esurf-14-417-2026
- Flow recession behavior of preferential subsurface flow patterns with minimum energy dissipation J. Strüven & S. Hergarten https://doi.org/10.5194/hess-27-3041-2023
- Transport-limited fluvial erosion – simple formulation and efficient numerical treatment S. Hergarten https://doi.org/10.5194/esurf-8-841-2020
- The linear feedback precipitation model (LFPM 1.0) – a simple and efficient model for orographic precipitation in the context of landform evolution modeling S. Hergarten & J. Robl https://doi.org/10.5194/gmd-15-2063-2022
- Old orogen–young topography: lithological contrasts controlling erosion and relief formation in the Bohemian Massif J. Robl et al. https://doi.org/10.5194/esurf-13-745-2025
- A mathematical model for bedrock incision in near‐threshold gravel‐bed rivers V. Gabel et al. https://doi.org/10.1002/esp.5957
- A simple model for faceted topographies at normal faults based on an extended stream-power law S. Hergarten https://doi.org/10.5194/esurf-12-1315-2024
- Self-organization of channels and hillslopes in models of fluvial landform evolution and its potential for solving scaling issues S. Hergarten & A. Pietrek https://doi.org/10.5194/esurf-11-741-2023
- Transient emergence of ramified river channels: simulations of geographical cycle by Erosion-Diffusion Model (EDM) H. Serizawa et al. https://doi.org/10.15748/jasse.10.221
- A new Multiple Flow Direction (MFD) algorithm for modeling ridge and valley evolution H. Serizawa et al. https://doi.org/10.1016/j.geomorph.2025.110111
- Projections of coastal landscape evolution on a 105 years considering uncertainty of sea level change S. Takai et al. https://doi.org/10.1557/s43580-026-01551-5
- GraphFlood 1.0: an efficient algorithm to approximate 2D hydrodynamics for landscape evolution models B. Gailleton et al. https://doi.org/10.5194/esurf-12-1295-2024
- Modeling glacial and fluvial landform evolution at large scales using a stream-power approach S. Hergarten https://doi.org/10.5194/esurf-9-937-2021
- CHONK 1.0: landscape evolution framework: cellular automata meets graph theory B. Gailleton et al. https://doi.org/10.5194/gmd-17-71-2024
- Inception of Regular Valley Spacing in Fluvial Landscapes: A Linear Stability Analysis S. Anand et al. https://doi.org/10.1029/2022JF006716
- Implicit Algorithm for Threshold Stream Power Incision Model J. Braun & E. Deal https://doi.org/10.1029/2023JF007140
- The Influence of Sediment Transport on Stationary and Mobile Knickpoints in River Profiles S. Hergarten https://doi.org/10.1029/2021JF006218
19 citations as recorded by crossref.
- Theoretical and numerical considerations of rivers in a tectonically inactive foreland S. Hergarten https://doi.org/10.5194/esurf-10-671-2022
- Modeling large‐scale landform evolution with a stream power law for glacial erosion (OpenLEM v37): benchmarking experiments against a more process-based description of ice flow (iSOSIA v3.4.3) M. Liebl et al. https://doi.org/10.5194/gmd-16-1315-2023
- Parameter estimation of river incision models of soft sedimentary rocks – a case study on the Kamikita Coastal Plain, northeast Japan S. Takai et al. https://doi.org/10.5194/esurf-14-417-2026
- Flow recession behavior of preferential subsurface flow patterns with minimum energy dissipation J. Strüven & S. Hergarten https://doi.org/10.5194/hess-27-3041-2023
- Transport-limited fluvial erosion – simple formulation and efficient numerical treatment S. Hergarten https://doi.org/10.5194/esurf-8-841-2020
- The linear feedback precipitation model (LFPM 1.0) – a simple and efficient model for orographic precipitation in the context of landform evolution modeling S. Hergarten & J. Robl https://doi.org/10.5194/gmd-15-2063-2022
- Old orogen–young topography: lithological contrasts controlling erosion and relief formation in the Bohemian Massif J. Robl et al. https://doi.org/10.5194/esurf-13-745-2025
- A mathematical model for bedrock incision in near‐threshold gravel‐bed rivers V. Gabel et al. https://doi.org/10.1002/esp.5957
- A simple model for faceted topographies at normal faults based on an extended stream-power law S. Hergarten https://doi.org/10.5194/esurf-12-1315-2024
- Self-organization of channels and hillslopes in models of fluvial landform evolution and its potential for solving scaling issues S. Hergarten & A. Pietrek https://doi.org/10.5194/esurf-11-741-2023
- Transient emergence of ramified river channels: simulations of geographical cycle by Erosion-Diffusion Model (EDM) H. Serizawa et al. https://doi.org/10.15748/jasse.10.221
- A new Multiple Flow Direction (MFD) algorithm for modeling ridge and valley evolution H. Serizawa et al. https://doi.org/10.1016/j.geomorph.2025.110111
- Projections of coastal landscape evolution on a 105 years considering uncertainty of sea level change S. Takai et al. https://doi.org/10.1557/s43580-026-01551-5
- GraphFlood 1.0: an efficient algorithm to approximate 2D hydrodynamics for landscape evolution models B. Gailleton et al. https://doi.org/10.5194/esurf-12-1295-2024
- Modeling glacial and fluvial landform evolution at large scales using a stream-power approach S. Hergarten https://doi.org/10.5194/esurf-9-937-2021
- CHONK 1.0: landscape evolution framework: cellular automata meets graph theory B. Gailleton et al. https://doi.org/10.5194/gmd-17-71-2024
- Inception of Regular Valley Spacing in Fluvial Landscapes: A Linear Stability Analysis S. Anand et al. https://doi.org/10.1029/2022JF006716
- Implicit Algorithm for Threshold Stream Power Incision Model J. Braun & E. Deal https://doi.org/10.1029/2023JF007140
- The Influence of Sediment Transport on Stationary and Mobile Knickpoints in River Profiles S. Hergarten https://doi.org/10.1029/2021JF006218
Saved (final revised paper)
Latest update: 11 Jun 2026
Short summary
Many contemporary models of large-scale fluvial erosion focus on the detachment-limited regime where all material entrained by the river is immediately excavated. This limitation facilitates the comparison with real river profiles and strongly reduces the numerical complexity. Here a simple formulation for the opposite case, transport-limited erosion, and a new numerical scheme that achieves almost the same numerical efficiency as detachment-limited models are presented.
Many contemporary models of large-scale fluvial erosion focus on the detachment-limited regime...
