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A geometria fractal da rede de drenagem da bacia hidrográfica do Caeté, Alfredo Wagner-SC Fractal geometry of the drainage network of the Caeté river watershed, Alfredo Wagner-SC

By Leandro Redin Vestena and Masato Kobiyama

Abstract

Os objetivos deste trabalho foram estimar e avaliar a dimensão fractal da rede de drenagem da bacia hidrográfica do Caeté, em Alfredo Wagner, SC, a partir de diferentes métodos, com o propósito de caracterizar as formas geomorfológicas irregulares. A rede de drenagem apresenta propriedades multifractais. As dimensões fractais para os segmentos individuais (df) e para a rede de drenagem inteira (Df) foram determinadas por métodos que se fundamentaram nas razões de Horton e pelo método da contagem de caixas (Box-Counting). A rede de drenagem tem característica de autoafinidade. A dimensão fractal proveniente da relação de parâmetros obtidos pelas Leis de Horton apresentou resultados dentro dos limiares da teoria da geometria fractal.<br>The objective of the present work was to evaluate the fractal dimensions of the drainage network of the Caeté river watershed, Alfredo Wagner/SC, with different methods in order to characterize the irregular geomorphologic forms. The drainage network possesses multi-fractal properties. That is why the fractal dimensions for the individual segments (df) and for the entire network (Df) were evaluated with Horton's Laws and the Box-Counting method. The drainage network has self-affinity characteristics. The fractal dimension obtained through the parameters relationship of Horton's Laws showed the results within the thresholds of the fractal geometry theory

Topics: Morfometria, Dimensão fractal, Rio Caeté, Morphometry, Fractal dimensions, Caeté river, LCC:Forestry, LCC:SD1-669.5, LCC:Agriculture, LCC:S, DOAJ:Forestry, DOAJ:Agriculture and Food Sciences
Publisher: Sociedade de Investigações Florestais
Year: 2010
DOI identifier: 10.1590/S0100-67622010000400010
OAI identifier: oai:doaj.org/article:1b0a33ef339f4495a33568eb3aa4b445
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