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Shapes of river networks and leaves: are they statistically similar?

Pelletier, Jon D. and Turcotte, Donald L. (2000) Shapes of river networks and leaves: are they statistically similar? Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences, 355 (1394). pp. 307-311. ISSN 0962-8436. doi:10.1098/rstb.2000.0566. https://resolver.caltech.edu/CaltechAUTHORS:20201215-170632067

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Abstract

The structure of river networks is compared with the vein structure of leaves. The two structures are visually similar at the smaller scales. The statistics of branching and side branching are nearly identical. The branching structure of diffusion–limited aggregation clusters is also similar and can provide an explanation for the structure of river networks. The origin of the self–similar branching and side branching of the vein structure in leaves is not clear but it appears to be an optimal network in terms of transporting nutrients to all parts of the leaf with the least total resistance.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1098/rstb.2000.0566DOIArticle
ORCID:
AuthorORCID
Pelletier, Jon D.0000-0002-0702-2646
Turcotte, Donald L.0000-0002-4905-4435
Additional Information:© 2000 The Royal Society. Received 17 September 1998, Accepted 5 May 1999.
Subject Keywords:fractal, network, Tokunaga, rivers, optimal, leaf veins
Issue or Number:1394
DOI:10.1098/rstb.2000.0566
Record Number:CaltechAUTHORS:20201215-170632067
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201215-170632067
Official Citation:Pelletier Jon D. and Turcotte Donald L. 2000. Shapes of river networks and leaves: are they statistically similar? Phil. Trans. R. Soc. Lond. B 355: 307–311. http://doi.org/10.1098/rstb.2000.0566
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107112
Collection:CaltechAUTHORS
Deposited By: Rebecca Minjarez
Deposited On:16 Dec 2020 17:25
Last Modified:16 Nov 2021 18:59

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