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Multifractal process of runoff fluctuation of the Kaidu River in Xinjiang, China
Received:November 06, 2017  Revised:January 24, 2018  Click here to download the full text
Citation of this paper:ShuangQing Liu,ZuHan Liu,WeiGuo Wang,YuePing Lu,XiaoLiang Zhu,Bin Guo,2018.Multifractal process of runoff fluctuation of the Kaidu River in Xinjiang, China.Sciences in Cold and Arid Regions,10(3):232~239.
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Author NameAffiliationE-mail
ShuangQing Liu School of Information Engineering, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, China  
ZuHan Liu School of Information Engineering, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, China
Key Laboratory of the Education Ministry for Poyang Lake Wetland and Watershed Research, Jiangxi Normal University, Nanchang, Jiangxi 330022, China
Research Center for East-West Cooperation in China, East China Normal University, Shanghai 200241, China 
lzh512@nit.edu.cn 
WeiGuo Wang School of Information Engineering, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, China  
YuePing Lu School of Information Engineering, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, China  
XiaoLiang Zhu School of Information Engineering, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, China  
Bin Guo School of Information Engineering, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, China  
基金项目:This work was supported by the National Training Program of Innovation and Entrepreneurship for Undergraduates (No. 201611319050), Science and Technology Project of Jiangxi Provincial Department of Education (No. GJJ161097), China Postdoctoral Science Foundation (No. 2016M600515), Jiangxi Province Postdoctoral Science Foundation (No. 2017KY48), the Open Research Fund of Jiangxi Province Key Laboratory of Water Information Cooperative Sensing and Intelligent Processing (2016WICSIP012), and the Opening Fund of the Key Laboratory of Poyang Lake Wetland and Watershed Research (Jiangxi Normal University), Ministry of Education (No. PK2017002).
 
Abstract:Based on the hydrological data in the headwater region of the Kaidu River during 1972-2011, the multifractal process of runoff fluctuation was analyzed. Results indicated that, in the past 40 years, the overall runoff of the Kaidu River in Xinjiang has shown significant multifractal behavior. Its singular curve lnχq(ε)-ln(ε) verified a favorable scale invariance over the entire time scale. τ(q)-q proved that evolution of the runoff time series presented multifractal characteristics. Moreover, the multifractal spectrum f(α)-α curve was hooklike leftward which indicated that, compared to relatively large runoff events. And Δf<0 indicated that these relatively small events took the leading role; B<0 explained the Kaidu River's daily-runoff ascending tendency presented during 1972-2011. Besides that, the multifractal behavior of the Kaidu River's runoff variability over four decades was also analyzed. Generally speaking, by decades, their four corresponding spectrum variations were not noticeable. These Δα values showed larger runoff events occupied the leading position with some local values falling. During the 1970s to the 1990s, Δf<0 illustrated the probability of the daily runoff at the lowest point is always larger than that of the highest during three continuous decades. At the beginning of the 21st century, for Δf>0 the trend presented was contrary from the 1970s to the 1990s. B values suggested an overall trend of increases during 1972-2011. Until the 21st century, the runoff with a slightly descending tendency on the whole explained these relatively large runoff events taking the leading role for the Kaidu River; but sometimes, some small events also played the dominant role.
keywords:multifractal  runoff  Kaidu River  decadal scale
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