Articles | Volume 25, issue 6
Hydrol. Earth Syst. Sci., 25, 3675–3690, 2021
https://doi.org/10.5194/hess-25-3675-2021
Hydrol. Earth Syst. Sci., 25, 3675–3690, 2021
https://doi.org/10.5194/hess-25-3675-2021

Research article 30 Jun 2021

Research article | 30 Jun 2021

A new fractal-theory-based criterion for hydrological model calibration

Zhixu Bai et al.

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Cited articles

Bai, Z., Xu, Y.-P., Gu, H., and Pan, S.: Joint multifractal spectrum analysis for characterizing the nonlinear relationship among hydrological variables, J. Hydrol., 576, 12–27, https://doi.org/10.1016/j.jhydrol.2019.06.030, 2019. 
Bergström, S.: The HBV model-its structure and applications, SMHI, Sweden, 1992. 
Bergström, S.: Development and application of a conceptual runoff model for Scandinavian catchments, University of Lund, Lund, 1976. 
Chiew, F. H. S. and McMahon, T. A.: Assessing the adequacy of catchment streamflow yield estimates, Soil Res., 31, 665–680, 1993. 
Davis, A., Marshak, A., Wiscombe, W., and Cahalan, R.: Multifractal characterizations of nonstationarity and intermittency in geophysical fields: observed, retrieved, or simulated, J. Geophys. Res., 99, 8055–8072, https://doi.org/10.1029/94JD00219, 1994. 
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To test our hypothesis that the fractal dimensions of streamflow series can be used to improve the calibration of hydrological models, we designed the E–RD efficiency ratio of fractal dimensions strategy and examined its usability in the calibration of lumped models. The results reveal that, in most aspects, introducing RD into model calibration makes the simulation of streamflow components more reasonable. Also, pursuing a better RD during calibration leads to only a minor decrease in E.