Articles | Volume 6, issue 3
https://doi.org/10.5194/esurf-6-779-2018
© Author(s) 2018. 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-6-779-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
25 Sep 2018
Research article |
| 25 Sep 2018
| 25 Sep 2018
Scaling and similarity of a stream-power incision and linear diffusion landscape evolution model
Nikos Theodoratos
CORRESPONDING AUTHOR
Dept. of Environmental Systems Science, ETH Zurich, Zurich, 8092, Switzerland
Hansjörg Seybold
Dept. of Environmental Systems Science, ETH Zurich, Zurich, 8092, Switzerland
James W. Kirchner
Dept. of Environmental Systems Science, ETH Zurich, Zurich, 8092, Switzerland
Swiss Federal Research Institute WSL, Birmensdorf, 8903, Switzerland
Viewed
Total article views: 5,166 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 16 Apr 2018)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 3,539 | 1,437 | 190 | 5,166 | 179 | 198 |
- HTML: 3,539
- PDF: 1,437
- XML: 190
- Total: 5,166
- BibTeX: 179
- EndNote: 198
Total article views: 3,820 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 25 Sep 2018)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 2,659 | 982 | 179 | 3,820 | 165 | 190 |
- HTML: 2,659
- PDF: 982
- XML: 179
- Total: 3,820
- BibTeX: 165
- EndNote: 190
Total article views: 1,346 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 16 Apr 2018)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 880 | 455 | 11 | 1,346 | 14 | 8 |
- HTML: 880
- PDF: 455
- XML: 11
- Total: 1,346
- BibTeX: 14
- EndNote: 8
Viewed (geographical distribution)
Total article views: 5,166 (including HTML, PDF, and XML)
Thereof 4,879 with geography defined
and 287 with unknown origin.
Total article views: 3,820 (including HTML, PDF, and XML)
Thereof 3,572 with geography defined
and 248 with unknown origin.
Total article views: 1,346 (including HTML, PDF, and XML)
Thereof 1,307 with geography defined
and 39 with unknown origin.
| Country | # | Views | % |
|---|
| Country | # | Views | % |
|---|
| Country | # | Views | % |
|---|
| Total: | 0 |
| HTML: | 0 |
| PDF: | 0 |
| XML: | 0 |
- 1
1
| Total: | 0 |
| HTML: | 0 |
| PDF: | 0 |
| XML: | 0 |
- 1
1
| Total: | 0 |
| HTML: | 0 |
| PDF: | 0 |
| XML: | 0 |
- 1
1
Cited
20 citations as recorded by crossref.
- Hydrology without dimensions A. Porporato https://doi.org/10.5194/hess-26-355-2022
- Simulation of Holocene soil erosion and sediment deposition processes in the Yellow River basin during the Holocene H. Zhao et al. https://doi.org/10.1016/j.catena.2022.106600
- Comment on “Groundwater Affects the Geomorphic and Hydrologic Properties of Coevolved Landscapes” by Litwin et al. S. Anand et al. https://doi.org/10.1029/2022JF006669
- Transport-limited fluvial erosion – simple formulation and efficient numerical treatment S. Hergarten https://doi.org/10.5194/esurf-8-841-2020
- Geomorphometry today I. Florinsky https://doi.org/10.35595/2414-9179-2021-2-27-394-448
- Research into Cryolithozone Spatial Pattern Changes Based on the Mathematical Morphology of Landscapes A. Victorov et al. https://doi.org/10.3390/en15031218
- Dimensional analysis of a landscape evolution model with incision threshold N. Theodoratos & J. Kirchner https://doi.org/10.5194/esurf-8-505-2020
- The role of lateral erosion in the evolution of nondendritic drainage networks to dendricity and the persistence of dynamic networks J. Kwang et al. https://doi.org/10.1073/pnas.2015770118
- Reply to Comment by Anand et al. on “Groundwater Affects the Geomorphic and Hydrologic Properties of Coevolved Landscapes” D. Litwin et al. https://doi.org/10.1029/2022JF006722
- Impact of noise on landscapes and metrics generated with stream power models M. Morris & G. Roberts https://doi.org/10.5194/esurf-13-1003-2025
- Groundwater Affects the Geomorphic and Hydrologic Properties of Coevolved Landscapes D. Litwin et al. https://doi.org/10.1029/2021JF006239
- Short Communication: Numerically simulated time to steady state is not a reliable measure of landscape response time N. Gasparini et al. https://doi.org/10.5194/esurf-12-1227-2024
- Rivers as linear elements in landform evolution models S. Hergarten https://doi.org/10.5194/esurf-8-367-2020
- An advection–diffusion equation with a generalized advection term: Well-posedness analysis and examples T. Malysheva & L. White https://doi.org/10.1016/j.exco.2024.100159
- Graphically interpreting how incision thresholds influence topographic and scaling properties of modeled landscapes N. Theodoratos & J. Kirchner https://doi.org/10.5194/esurf-9-1545-2021
- Numerical simulation of landscape evolution and mountain uplift history constrain—A case study from the youthful stage mountains around the central Hexi Corridor, NE Tibetan Plateau B. Pan et al. https://doi.org/10.1007/s11430-020-9716-6
- Hillslope diffusion and channel steepness in landscape evolution models D. Litwin et al. https://doi.org/10.5194/esurf-13-277-2025
- A comprehensive system of definitions of land surface (topographic) curvatures, with implications for their application in geoscience modelling and prediction J. Minár et al. https://doi.org/10.1016/j.earscirev.2020.103414
- Optimising global landscape evolution models with 10Be G. Ruetenik et al. https://doi.org/10.5194/esurf-11-865-2023
- A fractal framework for channel–hillslope coupling B. Kargère et al. https://doi.org/10.5194/esurf-13-403-2025
20 citations as recorded by crossref.
- Hydrology without dimensions A. Porporato https://doi.org/10.5194/hess-26-355-2022
- Simulation of Holocene soil erosion and sediment deposition processes in the Yellow River basin during the Holocene H. Zhao et al. https://doi.org/10.1016/j.catena.2022.106600
- Comment on “Groundwater Affects the Geomorphic and Hydrologic Properties of Coevolved Landscapes” by Litwin et al. S. Anand et al. https://doi.org/10.1029/2022JF006669
- Transport-limited fluvial erosion – simple formulation and efficient numerical treatment S. Hergarten https://doi.org/10.5194/esurf-8-841-2020
- Geomorphometry today I. Florinsky https://doi.org/10.35595/2414-9179-2021-2-27-394-448
- Research into Cryolithozone Spatial Pattern Changes Based on the Mathematical Morphology of Landscapes A. Victorov et al. https://doi.org/10.3390/en15031218
- Dimensional analysis of a landscape evolution model with incision threshold N. Theodoratos & J. Kirchner https://doi.org/10.5194/esurf-8-505-2020
- The role of lateral erosion in the evolution of nondendritic drainage networks to dendricity and the persistence of dynamic networks J. Kwang et al. https://doi.org/10.1073/pnas.2015770118
- Reply to Comment by Anand et al. on “Groundwater Affects the Geomorphic and Hydrologic Properties of Coevolved Landscapes” D. Litwin et al. https://doi.org/10.1029/2022JF006722
- Impact of noise on landscapes and metrics generated with stream power models M. Morris & G. Roberts https://doi.org/10.5194/esurf-13-1003-2025
- Groundwater Affects the Geomorphic and Hydrologic Properties of Coevolved Landscapes D. Litwin et al. https://doi.org/10.1029/2021JF006239
- Short Communication: Numerically simulated time to steady state is not a reliable measure of landscape response time N. Gasparini et al. https://doi.org/10.5194/esurf-12-1227-2024
- Rivers as linear elements in landform evolution models S. Hergarten https://doi.org/10.5194/esurf-8-367-2020
- An advection–diffusion equation with a generalized advection term: Well-posedness analysis and examples T. Malysheva & L. White https://doi.org/10.1016/j.exco.2024.100159
- Graphically interpreting how incision thresholds influence topographic and scaling properties of modeled landscapes N. Theodoratos & J. Kirchner https://doi.org/10.5194/esurf-9-1545-2021
- Numerical simulation of landscape evolution and mountain uplift history constrain—A case study from the youthful stage mountains around the central Hexi Corridor, NE Tibetan Plateau B. Pan et al. https://doi.org/10.1007/s11430-020-9716-6
- Hillslope diffusion and channel steepness in landscape evolution models D. Litwin et al. https://doi.org/10.5194/esurf-13-277-2025
- A comprehensive system of definitions of land surface (topographic) curvatures, with implications for their application in geoscience modelling and prediction J. Minár et al. https://doi.org/10.1016/j.earscirev.2020.103414
- Optimising global landscape evolution models with 10Be G. Ruetenik et al. https://doi.org/10.5194/esurf-11-865-2023
- A fractal framework for channel–hillslope coupling B. Kargère et al. https://doi.org/10.5194/esurf-13-403-2025
Saved (final revised paper)
Latest update: 11 Jun 2026
Short summary
We perform dimensional analysis on a frequently used landscape evolution model (LEM). Defining characteristic scales in a novel way, we significantly simplify the LEM and develop an efficient numerical modeling approach. Our characteristic scales are physically meaningful; they quantify competitions between landscape-forming processes and are related to salient properties of landscape topography. Dimensional analyses of other LEMs may benefit from our approach in defining characteristic scales.
We perform dimensional analysis on a frequently used landscape evolution model (LEM). Defining...
