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Joint Multifractal Analysis and Source Testing of River Level Records Based on Multifractal Detrended Cross-Correlation Analysis
Joint Authors
Wu, Liang
Wang, Manling
Zhao, Tongzhou
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-07
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The joint multifractal analysis is usually conducted in two different variables for their cross-correlations but rarely used for two records of one variable collected at two different places.
It is important for the detection of change in multifractality in space.
Besides, the cross-correlations in two analyzed series make the analysis of sources of joint multifractality difficult.
There are few studies on the source of joint multifractality.
We focus on the two issues for two level records at pairs of adjacent sites along one river and carry out an extension of our previous work which is about the single multifractality of one record with the same data set.
The data set is collected from 10 observation stations of a northern China river and contains about two million high-frequency river level records.
Results of joint multifractal analysis via multifractal detrended cross-correlation analysis show that the change in joint multifractality at pairs of adjacent sites caused by weak cross-correlations can be detected by comparing the single generalized Hurst exponent with the joint scaling exponent function and reveal the effects of human activities on joint multifractality.
This analysis provides an approach for detecting the change in multifractality.
Following the idea of our previous work, two robust hypothesis tests via a set of pairs of surrogate series are proposed for the source testing of joint multifractality.
The analysis of the effects of cross-correlations is carried out via a proposed simultaneously half-shifting technique which can both minimize the cross-correlations between original series and make full use of records.
Results of source analysis show not only the effects of autocorrelations in series and probability distribution of river levels but also the effects of cross-correlations between series.
American Psychological Association (APA)
Wu, Liang& Wang, Manling& Zhao, Tongzhou. 2020. Joint Multifractal Analysis and Source Testing of River Level Records Based on Multifractal Detrended Cross-Correlation Analysis. Complexity،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1139915
Modern Language Association (MLA)
Wu, Liang…[et al.]. Joint Multifractal Analysis and Source Testing of River Level Records Based on Multifractal Detrended Cross-Correlation Analysis. Complexity No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1139915
American Medical Association (AMA)
Wu, Liang& Wang, Manling& Zhao, Tongzhou. Joint Multifractal Analysis and Source Testing of River Level Records Based on Multifractal Detrended Cross-Correlation Analysis. Complexity. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1139915
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139915