Calibration of Concentration Parameters Based on Frequency Decomposition of Fourier Series
Publication: Journal of Hydrologic Engineering
Volume 26, Issue 1
Abstract
The unstable and unreasonable parameter identification results are achieved because of the nonlinear effect (e.g., the cross-autocorrelation parameters). The XAJ (Xin’anjiang) model shows a certain correlation among confluence parameters, which primarily causes calibration results to be instable and unreasonable. To address the mentioned problem, the correlation between parameters should be overcome, and more estimation information should be presented. Accordingly, a novel objective function based on the Fourier expansion (FOF) was introduced to calibrate confluence parameters in the XAJ model. The flow processes were separately expanded with the Fourier series, and the independent and frequency-dependent objective functions were yielded with different frequency structures of the surface flow, interflow, and groundwater. To prove that the method is feasible, theoretic derivation and application analysis in a case of the Changzao basin were conducted. As revealed from the results, the method is capable of effectively increasing the information in parameter calibration and fully exploiting the physical mechanism of confluence parameters to calibrate the decomposition dimensionality reduction of confluence parameters.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
This study is supported by the Zhejiang Provincial Natural Science Foundation of China under Grant No. LQ20E090002 and Zhejiang Provincial Research Institute Support Fund (Grant No. 2018F10027).
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Published In
Journal of Hydrologic Engineering
Volume 26 • Issue 1 • January 2021
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Apr 7, 2019
Accepted: Jun 18, 2020
Published online: Oct 19, 2020
Published in print: Jan 1, 2021
Discussion open until: Mar 19, 2021
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