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Precipitation Complexity Measurement Using Multifractal Spectra Empirical Mode Decomposition Detrended Fluctuation Analysis

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Abstract

The stability of current methods of complexity measurement are generally Inefficient. In this study, multifractal spectra (MFS) analysis, which depends on empirical mode decomposition detrended fluctuation analysis (EMD–DFA), was used to measure the complexity of the monthly precipitation series from 1964 to 2013 (50 years) of 11 districts in Harbin, Heilongjiang Province, China. By comparing the anti-noise capability of MFS–EMD–DFA with that of conventional complexity measurement approaches, such as sample entropy, Lempel–Ziv complexity, and approx mate entropy, it was established that MFS–EMD–DFA has greater robustness in anti-noise jamming, and thus it could be applied more widely. The precipitation series complexity strength map of the 11 regions was drawn using a geographical information system. This study analyzed the correlation between precipitation and some meteorological factors and then ranked their strengths. The results showed that many meteorological factors have strong connections with the regional precipitation series in the study area. This study provided a solid foundation for further extraction of hydrological information in Harbin and proposed a new method for complexity analysis. The novel MFS–EMD–DFA approach could also be applied to the analysis of multifractal characteristics as well as complexity measurement in various other disciplines.

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Acknowledgments

This study is supported by the National Natural Science Foundation of China (No.51579044,No.41071053, No.51479032), Sub-Task of National Science and Technology Support Program for Rural Development in The 12th Five-Year Plan of China (No.2013BAD20B04-S3), Specialized Research Fund for the Public Welfare Industry of the Ministry of Water Resources (No.201301096), Specialized Research Fund for Innovative Talents of Harbin (Excellent Academic Leader) (No.2013RFXXJ001), Science and Technology Research Program of Education Department of Heilongjiang Province (No.12531012),Science and Technology Program of Water Conservancy of Heilongjiang Province (No.201319,No.201501,No.201503), Northeast Agricultural University Innovation Foundation For Postgraduate (No.yjscx14069).

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Authors and Affiliations

  1. School of Conservancy & Civil Engineering, Northeast Agricultural University, Harbin, Heilongjiang, 150030, China

    Dong Liu, Mingjie Luo, Qiang Fu, Yongjia Zhang, Khan M. Imran, Dan Zhao, Tianxiao Li & Faiz M. Abrar

  2. Key Laboratory of Effective Utilization of Agricultural Water Resources of Agriculture Ministry, Northeast Agricultural University, Harbin, Heilongjiang, 150030, China

    Dong Liu

  3. Heilongjiang Provincial Collaborative Innovation Center of Grain production Capacity Improvement, Northeast Agricultural University, Harbin, Heilongjiang, 150030, China

    Dong Liu

  4. Key Laboratory of Water-Saving Agriculture of Ordinary University in Heilongjiang Province, Northeast Agricultural University, Harbin, Heilongjiang, 150030, China

    Dong Liu

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  1. Dong Liu
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  2. Mingjie Luo
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  3. Qiang Fu
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  7. Tianxiao Li
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  8. Faiz M. Abrar
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Correspondence to Dong Liu.

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Liu, D., Luo, M., Fu, Q. et al. Precipitation Complexity Measurement Using Multifractal Spectra Empirical Mode Decomposition Detrended Fluctuation Analysis. Water Resour Manage 30, 505–522 (2016). https://doi.org/10.1007/s11269-015-1174-9

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