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Multifractal analysis of braided channel networks using structure functions and fixed-mass measures

Author

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  • De Michele, Carlo
  • Primavera, Leonardo
  • Tomasicchio, Giuseppe R.
  • Lauria, Agostino
  • Francone, Antonio
  • Leone, Elisa
  • Salvadori, Gianfausto
  • De Bartolo, Samuele

Abstract

This study presents a multifractal analysis of braided channel networks using a coupled approach that integrates structure functions and fixed-mass measures. The investigation focuses on three braided river systems (namely, Allaro River, Brahmaputra River and Rakaia River), examining the behavior of the number of wet channels measured along the longitudinal spatial development of the river reach. The number of wet channels is shown to be an intermittent 1D signal, whose physical scaling is governed by scaling laws that can be naturally described by multifractal measures. By employing this combined approach, we were able to identify the maximum order of the moments of the measures that characterizes the multifractal spectrum and multiscaling properties of braided channel systems. The methodology for estimating the multifractal spectra is based on a modified Legendre transform relation for singularity strengths, allowing for a quantitative comparison between the multifractal spectra derived from structure functions and those obtained using the fixed-mass method.

Suggested Citation

  • De Michele, Carlo & Primavera, Leonardo & Tomasicchio, Giuseppe R. & Lauria, Agostino & Francone, Antonio & Leone, Elisa & Salvadori, Gianfausto & De Bartolo, Samuele, 2025. "Multifractal analysis of braided channel networks using structure functions and fixed-mass measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 675(C).
    • Handle: RePEc:eee:phsmap:v:675:y:2025:i:c:s0378437125004832
    DOI: 10.1016/j.physa.2025.130831
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    1. Kantelhardt, Jan W & Koscielny-Bunde, Eva & Rego, Henio H.A & Havlin, Shlomo & Bunde, Armin, 2001. "Detecting long-range correlations with detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 441-454.
    2. De Bartolo, Samuele, 2024. "Singularities of Taylor’s power law in the analysis of aggregation measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 654(C).
    3. Sadegh Movahed, M. & Hermanis, Evalds, 2008. "Fractal analysis of river flow fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(4), pages 915-932.
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