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Multifractal and long memory of humidity process in the Tarim River Basin

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Abstract

Based on the daily data of relative humidity from 23 meteorological stations in the Tarim River Basin of northwest China during the period from 1961 to 2010, this paper analyzed the multifractal and long memory property of humidity process. Main findings are as follows: (1) The processes present scaling and multifractal property. (2) The left-skewed multifractal spectrum f(α) indicates that the time series of relative humidity is predominated by small fluctuations. (3) There exists long memory with the δ ∈ (0, 0.5) in the processes, except for Kalpin and Aksu’s exhibiting non-stationary long memory with the parameter δ being 0.67 and 0.69 respectively. (4) We found that on the whole, the degree of multifractality exhibits a strengthening trend with the longitude and latitude increasing, but decreasing trend with elevation rising; For length of long memory, we investigated that on the whole, the δ values increased with the longitude and latitude increasing, which indicates that the bigger the longitude and latitude is, the longer the memory of humidity process is, but the higher the elevation is, the shorter the memory of humidity process is.

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Acknowledgments

This work was supported by National Basic Research Program of China (973 Program; No: 2010CB951003), and the Director Fund of the Key Lab of GIScience of the Education Ministry PRC.

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  1. The Research Center for East-West Cooperation in China, The Key Lab of GIScience of the Education Ministry PRC, East China Normal University, Shanghai, 200241, China

    Zuhan Liu, Jianhua Xu, Zhongsheng Chen, Qin Nie & Chunmeng Wei

  2. Department of Spatial Information Science and Engineering, Xiamen University of Technology, Xiamen, 361024, Fujian, China

    Qin Nie

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  1. Zuhan Liu
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Correspondence to Jianhua Xu.

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Liu, Z., Xu, J., Chen, Z. et al. Multifractal and long memory of humidity process in the Tarim River Basin. Stoch Environ Res Risk Assess 28, 1383–1400 (2014). https://doi.org/10.1007/s00477-013-0832-9

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