Relationship between fractal dimensions of watershed topography characteristics and grid cell size

Zhu Yong-qing, Zhanbin Li, Kexin Lü · Journal of Hydraulic Engineering · 2005

The theory and method for describing the topographic characteristics of watershed by using fractal information dimension(FID) are introduced and the mathematical model based on GIS platform is proposed. The software under the circumstance of Arcview is developed and the calculation result of an example is given. It shows that the fractal information dimension can be used as a quantitative index to comprehensively describing the complicated topographic characteristics of the watershed. The size of grid cell plays important role in determining the non-scale range of FID. The calculation and evaluation of FID for inter-watershed topographic characteristics should be based on the same grid size.

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