谢先红,崔远来,周玉桃.参考作物腾发量时间序列的长程相关性和多重分形分布[J].水利学报,2008,39(12): |
参考作物腾发量时间序列的长程相关性和多重分形分布 |
Long term correlation and multi fractality of reference crop evapotranspiration time series |
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DOI: |
中文关键词: 参考作物腾发量 波动 长程相关性 非趋势波动分析 多重分形 |
英文关键词: reference crop evapotranspiration fluctuation long term correlation detrended fluctuation analysis(DFA) multifractal |
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中文摘要: |
本文应用修正的Penman Monteith模型计算了分布在全国各地的16个站点的参考作物腾发量时间序列,并采用新近发展的多重分形非趋势波动分析法(MF DFA)计算了序列的长程相关指数H和奇异谱f(α)。结果表明,潜在蒸散序列围绕一定趋势的波动不是完全随机的现象,而是由内在自相似机制决定的长程相关过程;其不同层次的波动是一个有序的多重分形分布,奇异谱可用二项倍增串级模型描述。 |
英文摘要: |
The Penman Monteith model was applied to calculate the time series of reference crop evapotranspiration in 16 stations distributed in the mainland of China, and their long term fluctuation exponents Hand multi fractal spectra f(a) were obtained by using the recently developed multi fractal detrended fluctuation analysis(MF DFA) method. The analysis results show that the fluctuation ofET0 around the general trend exhibits self similar scaling behavior and long term correlation rather than a complete random process at time scales, which is governed by the intrinsic self similar properties. The fluctuations at different level are well regulated multi fractal, whose spectra can be described with a generalized expression of the multiplicative cascade model. |
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