Power-Law between the Apparent Drainage Density and the Pruning Area

Autor: Soohyun Yang, Kwanghun Choi, Kyungrock Paik
Rok vydání: 2022
ISSN: 1607-7938
DOI: 10.5194/hess-2022-237
Popis: Self-similar structures of river networks have been quantified as diverse scaling laws. Among them we investigated a power functional relationship between the pruning area Ap and the associated apparent drainage density ρa with an exponent η. We analytically derived the relationship between η and other scaling exponents known for fractal river networks. The derivation is supported by analysis of four real river networks. The relationship between η and non-integer fractal dimensions found for natural river networks is suggested. Synthesis of our findings through the lens of fractal dimensions provides an insight that the exponent η has fundamental roots in fractal dimension for the whole river network organization.
Databáze: OpenAIRE