A comparison of hydrological and topological watersheds

We introduce the hydrological watershed, a watershed where water can penetrate the soil, and compare it with the topological watershed for a two-dimensional landscape. For this purpose, we measure the fractal dimension of the hydrological watershed for different penetration depths and different grid...

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Detalles Bibliográficos
Autores principales: Burger, B., Andrade, J. S., Herrmann, H. J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6043487/
https://www.ncbi.nlm.nih.gov/pubmed/30002379
http://dx.doi.org/10.1038/s41598-018-28470-2
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author Burger, B.
Andrade, J. S.
Herrmann, H. J.
author_facet Burger, B.
Andrade, J. S.
Herrmann, H. J.
author_sort Burger, B.
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description We introduce the hydrological watershed, a watershed where water can penetrate the soil, and compare it with the topological watershed for a two-dimensional landscape. For this purpose, we measure the fractal dimension of the hydrological watershed for different penetration depths and different grid sizes. Through finite size scaling, we find that the fractal dimension is 1.31 ± 0.02 which is significantly higher than the fractal dimension of the topological watershed. This indicates that the hydrological watershed belongs to a new universality class. We also find that, as opposed to the topological watershed, the hydrodynamic watershed can exhibit disconnected islands.
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spelling pubmed-60434872018-07-15 A comparison of hydrological and topological watersheds Burger, B. Andrade, J. S. Herrmann, H. J. Sci Rep Article We introduce the hydrological watershed, a watershed where water can penetrate the soil, and compare it with the topological watershed for a two-dimensional landscape. For this purpose, we measure the fractal dimension of the hydrological watershed for different penetration depths and different grid sizes. Through finite size scaling, we find that the fractal dimension is 1.31 ± 0.02 which is significantly higher than the fractal dimension of the topological watershed. This indicates that the hydrological watershed belongs to a new universality class. We also find that, as opposed to the topological watershed, the hydrodynamic watershed can exhibit disconnected islands. Nature Publishing Group UK 2018-07-12 /pmc/articles/PMC6043487/ /pubmed/30002379 http://dx.doi.org/10.1038/s41598-018-28470-2 Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Burger, B.
Andrade, J. S.
Herrmann, H. J.
A comparison of hydrological and topological watersheds
title A comparison of hydrological and topological watersheds
title_full A comparison of hydrological and topological watersheds
title_fullStr A comparison of hydrological and topological watersheds
title_full_unstemmed A comparison of hydrological and topological watersheds
title_short A comparison of hydrological and topological watersheds
title_sort comparison of hydrological and topological watersheds
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6043487/
https://www.ncbi.nlm.nih.gov/pubmed/30002379
http://dx.doi.org/10.1038/s41598-018-28470-2
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