Numerical simulation of landscape evolution models

Marc Lebrun; Miguel Colom; Jérôme Darbon; Jean-Michel Morel

doi:10.5201/ipol.2018.205

Numerical simulation of landscape evolution models

Marc Lebrun
, Miguel Colom
, Jérôme Darbon
, Jean-Michel Morel

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

4 Citations (Scopus)

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. © 2018 IPOL & the authors.

Original language	English
Pages (from-to)	219-250
Journal	Image Processing On Line
Volume	8
DOIs	https://doi.org/10.5201/ipol.2018.205
Publication status	Published - 3 Sept 2018
Externally published	Yes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

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 Sup´erieure Paris-Saclay, Office of Naval Research, Duke University, Direction G´en´erale de l’Armement by ASTRID St´er´eo project, Minist`ere de l’Enseignement Sup´erieur et de la Recherche.

Research Keywords

Conservation laws
Detachment-limited and transport-limited erosion
Landscape evolution model
Partial differential equations
Pléiades
River networks
Stream incision law

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title = "Numerical simulation of landscape evolution models",

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 R{\'e}union where the DEM is given at three different resolutions: the SRTM resolution (90m), and then 12m and 4m on DEMs derived from several Pl{\'e}iades pairs. Other many DEMs are proposed in the online demo, which allows to upload and tests other DEMs. {\textcopyright} 2018 IPOL \& the authors.",

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note = "Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected]. ",

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AU - Lebrun, Marc

AU - Colom, Miguel

AU - Darbon, Jérôme

AU - Morel, Jean-Michel

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

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Y1 - 2018/9/3

N2 - 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. © 2018 IPOL & the authors.

AB - 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. © 2018 IPOL & the authors.

KW - Conservation laws

KW - Detachment-limited and transport-limited erosion

KW - Landscape evolution model

KW - Partial differential equations

KW - Pléiades

KW - River networks

KW - Stream incision law

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85055752629&origin=recordpage

U2 - 10.5201/ipol.2018.205

DO - 10.5201/ipol.2018.205

M3 - RGC 21 - Publication in refereed journal

SN - 2105-1232

VL - 8

SP - 219

EP - 250

JO - Image Processing On Line

JF - Image Processing On Line

ER -

Numerical simulation of landscape evolution models

Abstract

Bibliographical note

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Research Keywords

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