Multifractal Analysis of Hydrologic Data Using Wavelet Methods and Fluctuation Analysis
Joint Authors
Zhao, Tongzhou
Ding, Yiming
Wu, Liang
Li, Dehua
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-31
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We study the multifractal properties of water level with a high-frequency and massive time series using wavelet methods (estimation of Hurst exponents, multiscale diagram, and wavelet leaders for multifractal analysis (WLMF)) and multifractal detrended fluctuation analysis (MF-DFA).
The dataset contains more than two million records from 10 observation sites at a northern China river.
The multiscale behaviour is observed in this time series, which indicates the multifractality.
This multifractality is detected via multiscale diagram.
Then we focus on the multifractal analysis using MF-DFA and WLMF.
The two methods give the same conclusion that at most sites the records satisfy the generalized binomial multifractal model, which is robust for different times (morning, afternoon, and evening).
The variation in the detailed characteristic parameters of the multifractal model indicates that both human activities and tributaries influence the multifractality.
Our work is useful for building simulation models of the water level of local rivers with many observation sites.
American Psychological Association (APA)
Zhao, Tongzhou& Wu, Liang& Li, Dehua& Ding, Yiming. 2017. Multifractal Analysis of Hydrologic Data Using Wavelet Methods and Fluctuation Analysis. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-18.
https://search.emarefa.net/detail/BIM-1151286
Modern Language Association (MLA)
Zhao, Tongzhou…[et al.]. Multifractal Analysis of Hydrologic Data Using Wavelet Methods and Fluctuation Analysis. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-18.
https://search.emarefa.net/detail/BIM-1151286
American Medical Association (AMA)
Zhao, Tongzhou& Wu, Liang& Li, Dehua& Ding, Yiming. Multifractal Analysis of Hydrologic Data Using Wavelet Methods and Fluctuation Analysis. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-18.
https://search.emarefa.net/detail/BIM-1151286
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151286