Multiscaling behavior of braided channel networks: An alternative formulation of Taylor's law variate transformations

Stefano Rizzello, Michele Scaraggi, Andrew D. Nelson, Leonardo Primavera, Gaetano Napoli, Guglielmo Stecca, Raffaele Vitolo, and Samuele De Bartolo
Phys. Rev. E 109, 034306 – Published 13 March 2024

Abstract

Braided channel networks exhibit a complex interplay between spatial and temporal dynamics. Their behavior is characterized by both simple and multiscaling patterns, and the mechanisms underlying the stochastic processes associated with this dynamics remain incompletely understood. Leveraging Taylor's pioneering work [Nature (London) 189, 732 (1961)], which unveiled scaling relations in a plethora of natural phenomena through what is now known as the Taylor power law (TPL), we propose a physical interpretation of braided channel systems. This interpretation utilizes a specific class of transformation functions applied to the mean of fluvial geomorphic variables measured along cross sections, namely, the number of wet channels, the average width of wet channels, and the entropic braiding index. By analyzing remotely sensed data of the Brahmaputra-Jamuna River in Bangladesh we obtain valuable insight into the spatiotemporal scaling of these geomorphological variables and gather a deeper understanding of the complexity of braided channel systems. Finally, through a direct analysis employing the TPL in conjunction with a fixed-mass multifractal algorithm, we prove that braided channel networks exhibit a multiscaling behavior.

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  • Received 19 June 2023
  • Accepted 14 February 2024

DOI:https://doi.org/10.1103/PhysRevE.109.034306

©2024 American Physical Society

Physics Subject Headings (PhySH)

Interdisciplinary Physics

Authors & Affiliations

Stefano Rizzello1,2, Michele Scaraggi2,3, Andrew D. Nelson4, Leonardo Primavera5, Gaetano Napoli6, Guglielmo Stecca7, Raffaele Vitolo8,9, and Samuele De Bartolo1,2,*

  • 1European Maritime Environmental Research (EUMER), University of Salento, Lecce 73100, Italy
  • 2Department of Engineering for Innovation, University of Salento, Lecce 73100, Italy
  • 3Center for Biomolecular Nanotechnologies, Italian Institute of Technology, Arnesano 73010, Italy
  • 4Northwest Hydraulic Consultants, Bellingham, Washington 98225, USA
  • 5Department of Physics, University of Calabria, Rende 87036, Italy
  • 6Department of Mathematics and Applications “R. Caccioppoli”, University of Naples “Federico II”, Naples 80126, Italy
  • 7National Institute of Water and Atmospheric Research, Christchurch 8011, New Zealand
  • 8Department of Mathematics and Physics “E. De Giorgi”, University of Salento, Lecce, Italy and INFN, Section of Lecce 73100, Italy
  • 9Istituto Nazionale di Fisica Nucleare, Section of Lecce, Via per Monteroni, Lecce 73100, Italy

  • *Corresponding author: samuele.debartolo@unisalento.it

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Issue

Vol. 109, Iss. 3 — March 2024

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