| 北京地区气候变量的多分形特征研究 |
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| 引用本文： | 冯涛,付遵涛,毛江玉.北京地区气候变量的多分形特征研究[J].地球物理学报,2010,53(9):2037-2044. |
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| 作者姓名： | 冯涛 付遵涛 毛江玉 |
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| 作者单位： | 1. 北京大学物理学院大气科学系,北京 100871;
2. 北京大学湍流与复杂系统研究国家重点实验室,北京 100871;
3. 中国科学院大气物理研究所LASG,北京 100029 |
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| 基金项目： | 国家自然科学基金项目，中国科学院知识创新工程领域前沿项目 |
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| 摘 要： | 在气候系统的变量时间序列中往往存在着不同尺度间的自相似结构,这种自相似结构,又称为分形的特征.本文运用多分形去趋势波动分析方法(MF-DFA),分析北京市近50年来不同气象变量的逐日序列,并用一个扩展的二项式串级模式来分别估计其多分形谱.结果表明,平均气温等变量表现出多重分形的特征,并且多分形谱宽一致.而气温日较差和日照时数则表现出单分形的特征.且这种分形特征与长程记忆性相关,为中长期气候预测提供了理论基础.
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| 关 键 词： | 多分形 标度指数 多分形去趋势波动分析 |
| 收稿时间： | 2009-08-13 |
The multi-fractal characteristics of climate variables in Beijing |
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| FENG Tao,FU Zun-Tao,MAO Jiang-Yu.The multi-fractal characteristics of climate variables in Beijing[J].Chinese Journal of Geophysics,2010,53(9):2037-2044. |
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| Authors: | FENG Tao FU Zun-Tao MAO Jiang-Yu |
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| Institution: | 1. School of Physics, Peking University, Beijing 100871, China;
2. State Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing 100871, China;
3. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China |
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| Abstract: | Variables of climate system often exhibit self-similar behavior over different time scales in time series, which is also known as fractal characteristics. Multi-fractal behaviors of the long daily climate variable records in Beijing were analyzed by using multi-fractal detrended fluctuation analysis (MF-DFA). The result indicated that most climate variables exhibit multi-fractal characteristics, but sunshine duration and diurnal temperature range show mono-fractal behaviors in Beijing. We fitted generalized Hurst exponent via a modified generalized binomial multiplicative cascade model and different widths of multi-fractal spectrum are estimated. |
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| Keywords: | Multi-fractal Scaling exponent MF-DFA |
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