Abstract
This paper gives the complete numerical schemes implementing the main physical laws proposed in landscape evolution models (LEMs). These laws can be modeled by a system of three partial differential equations governing water runoff, stream incision, hill slope evolution and sedimentation. The goal of the presented algorithm, code and online demo is to be able to test these equations on digital elevation models (DEMs) of any resolution, and to illustrate its potential to simulate the fine structure of the river network, and to understand the landscape morphology and its causes. The equations simulate plausible evolutions. We illustrate experiments on DEMs of several sites, including one site, La Réunion where the DEM is given at three different resolutions: the SRTM resolution (90m), and then 12m and 4m on DEMs derived from several Pléiades pairs. Other many DEMs are proposed in the online demo, which allows to upload and tests other DEMs.
| Original language | English |
|---|---|
| Pages (from-to) | 219-250 |
| Number of pages | 32 |
| Journal | Image Processing On Line |
| Volume | 8 |
| Early online date | 3 Sept 2018 |
| DOIs | |
| Publication status | Published - 2018 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2018 IPOL & the authors.
Funding
Work supported by AHA Tosca project and MISS project, Centre National d’Etudes Spatiales, European Research Council by Advanced Grant Twelve labours, Centre National de la Recherche Scientifique, Ecole Normale Supérieure Paris-Saclay, Office of Naval Research, Duke University, Direction Générale de l’Armement by ASTRID Stéréo project, Ministère de l’Enseignement Supérieur et de la Recherche.
Keywords
- Conservation laws
- Detachment-limited and transport-limited erosion
- Landscape evolution model
- Partial differential equations
- Pléiades
- River networks
- Stream incision law