Spatial scale effect analysis of Xin'anjiang model parameters based on fractal theory
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Abstract:
Hydrological scale effect has always been the frontier research in hydrology. ln this paper,a quantitative conversion e quation between different spatial scales of a model's sensitive parameters is established based on the fractal theory ,and a method for analyzing the spatial scale effects of hydrological model parameters is proposed. Taking the three-source Xin' anjiang model as an example, the spatial scale effect of model parameters is analyzed above the Xiaoheha station of Jialing River Basin. The results showed that the results sensitive parameters (SM, KG, KI, CG，CI，and CS) of the Xin' anjiang model are scale-invariant with the change of spatial scale, and the quantitative relationship between them and catchment area can be described by power function relationship. Therefore, the corresponding quantilative conversion equation can be eslahlished by this relationship. Through the application and validation on different spatial scales in the basin, it is found that this spatial scale conversion equa tion of the Xin' anjiang model based on the scale-invariance using fractal theory has high applicability. It can realize that the migration of model parameters can be done from the data-rich region to the no data region and can provide references for the deter-mination of model parameters in no data regions.
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