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Descripción
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| During time, the multifractal geometry has got increasing relevance as a tool for understanding many complex phenomena. In fluvial geomorphology, as a particular case, the research carried out in the last decades has evidenced that the scaling properties of drainage basins, river networks and braided channels are better understood in the framework of multiscaling and multifractal, instead of simple fractal sets. In particular, it was evidenced by several works that two-dimensional projections of river networks and braided channels on topographic maps are multifractal, non-planefilling structures (support fractal dimension less than two). Moreover, the multifractal parameters obtained from the analysis can be used for a redefinition of the Instantaneous Unit Hydrograph (IUH), in order to improve the prediction of the hydrologic response of a basin (flood hydrograph). In order to get definite conclusions about such matters, however, a fundamental task to be accomplished is the precise assessment of both positive and negative moment orders of probabilities of the multifractal spectra. The determination of the complete multifractal spectra, when carried out on natural objects, like rivers and channels, has to be performed through numerical methods. Traditionally, two separated classes of numerical algorithms exist, which lead to the assessment of the multifractal spectra of a given set of points: Fixed-Size Algorithms (FSAs) or Fixed-Mass Algorithms (FMAs). Methods belonging to the former class are: 1) standard box-counting algorithms (Block et al., 1990); 2) the sandbox method (Tél et al., 1989); 3) the Generalized Correlation Integral Method (GCIM) (Pawelzik and Schuster, 1989); 4) the Gliding Boxes Algorithm (GBA) (Allain and Cloitre, 1991). Concerning the latter class, the standard FMA by Badii and Politi (1984, 1985), was applied in the past (De Bartolo et al., 2006). | |
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Internacional
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Si |
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Nombre congreso
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EGU General Assembly 2008 |
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Tipo de participación
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960 |
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Lugar del congreso
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Viena, Austria |
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Revisores
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Si |
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ISBN o ISSN
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1029-7006 |
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DOI
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Fecha inicio congreso
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13/04/2008 |
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Fecha fin congreso
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18/04/2008 |
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Desde la página
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1 |
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Hasta la página
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3 |
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Título de las actas
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Geophysical Research Abstracts, Vol. 10, SRef-ID: 1607-7962/gra/EGU2008-A-10301 |