Shapes of river networks

River network scaling laws describe how their shape varies with their size. However, the regional variation of this size-dependence remains poorly understood. Here we show that river network scaling laws vary systematically with the climatic aridity index. We find that arid basins do not change thei...

Full description

Bibliographic Details
Main Authors: Yi, Robert Sngho, Arredondo, Álvaro, Stansifer, Eric Marshall, Rothman, Daniel H.
Other Authors: Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Format: Article
Language:English
Published: The Royal Society 2020
Online Access:https://hdl.handle.net/1721.1/126787
_version_ 1811074733372866560
author Yi, Robert Sngho
Arredondo, Álvaro
Stansifer, Eric Marshall
Rothman, Daniel H.
author2 Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
author_facet Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Yi, Robert Sngho
Arredondo, Álvaro
Stansifer, Eric Marshall
Rothman, Daniel H.
author_sort Yi, Robert Sngho
collection MIT
description River network scaling laws describe how their shape varies with their size. However, the regional variation of this size-dependence remains poorly understood. Here we show that river network scaling laws vary systematically with the climatic aridity index. We find that arid basins do not change their proportions with size, while humid basins do. To explore why, we study an aspect ratio L /L ∥ between basin width L and basin length L ∥. We find that the aspect ratio exhibits a dependence on climate and argue that this can be understood as a structural consequence of the confluence angle. We then find that, in humid basins, the aspect ratio decreases with basin size, which we attribute to a common hydrogeological hierarchy. Our results offer an explanation of the variability in network scaling exponents and suggest that the absence of self-similarity in humid basins can be understood as a morphological expression of subsurface processes.
first_indexed 2024-09-23T09:54:30Z
format Article
id mit-1721.1/126787
institution Massachusetts Institute of Technology
language English
last_indexed 2024-09-23T09:54:30Z
publishDate 2020
publisher The Royal Society
record_format dspace
spelling mit-1721.1/1267872022-09-26T14:30:22Z Shapes of river networks Yi, Robert Sngho Arredondo, Álvaro Stansifer, Eric Marshall Rothman, Daniel H. Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences River network scaling laws describe how their shape varies with their size. However, the regional variation of this size-dependence remains poorly understood. Here we show that river network scaling laws vary systematically with the climatic aridity index. We find that arid basins do not change their proportions with size, while humid basins do. To explore why, we study an aspect ratio L /L ∥ between basin width L and basin length L ∥. We find that the aspect ratio exhibits a dependence on climate and argue that this can be understood as a structural consequence of the confluence angle. We then find that, in humid basins, the aspect ratio decreases with basin size, which we attribute to a common hydrogeological hierarchy. Our results offer an explanation of the variability in network scaling exponents and suggest that the absence of self-similarity in humid basins can be understood as a morphological expression of subsurface processes. United States. Department of Energy. Office of Basic Energy Sciences. Chemical Sciences, Geosciences and Biosciences Division (Award FG02-99ER15004) 2020-08-25T14:09:53Z 2020-08-25T14:09:53Z 2018-07 2020-08-24T16:50:58Z Article http://purl.org/eprint/type/JournalArticle 1471-2946 1364-5021 https://hdl.handle.net/1721.1/126787 Yi, Robert S. et al. “Shapes of river networks.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474, 2215 (July 2018): 20180081 © 2018 The Author(s) en 10.1098/RSPA.2018.0081 Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Creative Commons Attribution 4.0 International license https://creativecommons.org/licenses/by/4.0/ application/pdf The Royal Society Prof. Rothman via Chris Sherratt
spellingShingle Yi, Robert Sngho
Arredondo, Álvaro
Stansifer, Eric Marshall
Rothman, Daniel H.
Shapes of river networks
title Shapes of river networks
title_full Shapes of river networks
title_fullStr Shapes of river networks
title_full_unstemmed Shapes of river networks
title_short Shapes of river networks
title_sort shapes of river networks
url https://hdl.handle.net/1721.1/126787
work_keys_str_mv AT yirobertsngho shapesofrivernetworks
AT arredondoalvaro shapesofrivernetworks
AT stansiferericmarshall shapesofrivernetworks
AT rothmandanielh shapesofrivernetworks