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Article

Organization Patterns of Complex River Networks in Chile: A Fractal Morphology

1
Escuela de Ingenieria Civil, Pontificia Universidad Catolica de Valparaíso, Av. Brasil 2147, Valparaíso 2340000, Chile
2
Instituto de Geografia, Pontificia Universidad Catolica de Valparaíso, Av. Brasil 2241, Valparaiso 2340000, Chile
*
Author to whom correspondence should be addressed.
Mathematics 2022, 10(11), 1806; https://doi.org/10.3390/math10111806
Submission received: 7 April 2022 / Revised: 13 May 2022 / Accepted: 23 May 2022 / Published: 25 May 2022
(This article belongs to the Special Issue Advances in Fractals)

Abstract

River networks are spatially complex systems difficult to describe by using simple morphological indices. To this concern, fractal theory arises as an interesting tool for quantifying such complexity. In this case of study, we have estimated for the first time the fractal dimension of Chilean networks distributed across the country, analysed at two different scales. These networks insert into variable environments, not only from a climatic and hydrological point of view, but also from a morphological point of view. We investigate to which extent the fractal dimension is able to describe the apparent disorganized character of landscape, by applying two methods. Striking patterns of organization related to Horton ratios and the fractal dimension are reported and discussed. This last parameter depends on the scale of the network, showing interesting groupings by tectonic and climatological factors. Our results suggest that under restricted conditions, the fractal dimension could help to capture the intricate morphology of Chilean networks and its links with the hydrological, climatic, and tectonic conditions present across the country.
Keywords: river networks; chilean watersheds; fractal dimension; basin morphometry; structural control river networks; chilean watersheds; fractal dimension; basin morphometry; structural control

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MDPI and ACS Style

Martinez, F.; Manriquez, H.; Ojeda, A.; Olea, G. Organization Patterns of Complex River Networks in Chile: A Fractal Morphology. Mathematics 2022, 10, 1806. https://doi.org/10.3390/math10111806

AMA Style

Martinez F, Manriquez H, Ojeda A, Olea G. Organization Patterns of Complex River Networks in Chile: A Fractal Morphology. Mathematics. 2022; 10(11):1806. https://doi.org/10.3390/math10111806

Chicago/Turabian Style

Martinez, Francisco, Hermann Manriquez, Alberto Ojeda, and Gabriel Olea. 2022. "Organization Patterns of Complex River Networks in Chile: A Fractal Morphology" Mathematics 10, no. 11: 1806. https://doi.org/10.3390/math10111806

APA Style

Martinez, F., Manriquez, H., Ojeda, A., & Olea, G. (2022). Organization Patterns of Complex River Networks in Chile: A Fractal Morphology. Mathematics, 10(11), 1806. https://doi.org/10.3390/math10111806

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