Multifractal analyses of daily rainfall time series in Pearl River basin of China

Multifractal analyses of daily rainfall time series in Pearl River basin of China
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中国珠江流域日降雨时间序列的多重分形分析

DOI:
10.1016/j.physa.2014.02.047
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发表时间:
2014-02
期刊:
Physica A: Stat. Mech. Appl. (影响因子: 2.243 for 2016)
影响因子:
--
通讯作者:
Yu Zhou
Yu Zhou
中科院分区:
其他
文献类型:
--
作者:
Zu-Guo Yu;Yee Leung;Yongqin David Chen;Qiang Zhang;Vo Anh;Yu Zhou

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利用基于乘级联模型和多重分形去趋势波动分析(MF-DFA)的通用多重分形方法,研究了中国珠江流域近45年日降水时间序列的多重分形特征。两种多重分形分析结果表明,该流域日降水时间序列在两个不同的时间尺度范围内都具有多重分形特征。研究发现,通用多重分形模型(UMM)可以很好地拟合日降水时间序列的经验多重分形矩函数K (q)。这些日降雨数据的UMM守恒参数H的估计值接近于零,表明它们对应于守恒场。在去除降水资料的季节趋势后,df - dfa指数h(2)的估定值表明珠江流域日降水时间序列不存在长期相关性。K(2)与高程序列呈负相关。它显示了地形与降雨变率之间的关系。
The multifractal properties of daily rainfall time series at the stations in Pearl River basin of China over periods of up to 45 years are examined using the universal multifractal approach based on the multiplicative cascade model and the multifractal detrended fluctuation analysis (MF-DFA). The results from these two kinds of multifractal analyses show that the daily rainfall time series in this basin have multifractal behavior in two different time scale ranges. It is found that the empirical multifractal moment function K (q) of the daily rainfall time series can be fitted very well by the universal multifractal model (UMM). The estimated values of the conservation parameter H from UMM for these daily rainfall data are close to zero indicating that they correspond to conserved fields. After removing the seasonal trend in the rainfall data, the estimated values of the exponent h (2) from MF-DFA indicate that the daily rainfall time series in Pearl River basin exhibit no long-term correlations. It is also found that K (2) and elevation series are negatively correlated. It shows a relationship between topography and rainfall variability.
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