Complexity Analysis of Precipitation-Runoff Series Based on a New Parameter-Optimization Method of Entropy
Publication: Journal of Hydrologic Engineering
Volume 22, Issue 9
Abstract
Different parameters of dimension and tolerance threshold in approximate entropy (ApEn) and sample entropy (SampEn) can cause inconsistency of complexity comparison in hydrologic time series. A new approach to determine the optimal common parameters and is presented to solve this inconsistency. Time series of runoff and precipitation during 1956–2010 in the Jinghe watershed of the Chinese Loess Plateau were analyzed. The optimal common parameters were determined to be and standard deviation of time series. The runoff and precipitation show significant decreasing trends, which are opposite of the significant increasing trends of ApEn and SampEn. The runoff and precipitation have close relationships with their corresponding complexity. The decreasing trend of precipitation has important influences on the increase of runoff complexity. The ApEn is better than the SampEn for describing the general trend of the time series, while the SampEn has a stronger capacity to identify the turning points in the time series. This new approach has wide applicability.
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Acknowledgments
This study was supported by the National Natural Science Foundation of China (Grant Nos. 51679115 and 51109103), the Key Program of the National Natural Science Foundation of China (Grant No. 41530745), and the Fundamental Research Funds for the Central Universities (No. lzujbky-2016-173).
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Published In
Journal of Hydrologic Engineering
Volume 22 • Issue 9 • September 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Jun 27, 2016
Accepted: Mar 31, 2017
Published online: Jun 26, 2017
Published in print: Sep 1, 2017
Discussion open until: Nov 26, 2017
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