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Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 749894, 15 pages
Research Article

Effect of Trends on Detrended Fluctuation Analysis of Precipitation Series

1School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China
2Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing 100044, China

Received 21 January 2010; Revised 29 March 2010; Accepted 26 April 2010

Academic Editor: Ming Li

Copyright © 2010 Jianhai Yue et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We use detrended fluctuation analysis (DFA) method to detect the long-range correlation and scaling properties of daily precipitation series of Beijing from 1973 to 2004 before and after adding diverse trends to the original series. The correlation and scaling properties of the original series are difficult to analyze due to existing crossovers. The effects of the coefficient and the power of the added trends on the scaling exponents and crossovers of the series are tested. A crossover is found to be independent of the added trends, which arises from the intrinsic periodic trend of the precipitation series. However, another crossover caused by the multifractal vanishes with the increasing power of added trends.