Joint multifractal analysis of relationship of PM2.5 and meteorological condition based on WPTMM

ZHANG Chen, NI Zhi-wei, JIANG Ting

Systems Engineering - Theory & Practice ›› 2015, Vol. 35 ›› Issue (8) : 2166-2176.

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Systems Engineering - Theory & Practice ›› 2015, Vol. 35 ›› Issue (8) : 2166-2176. DOI: 10.12011/1000-6788(2015)8-2166

Joint multifractal analysis of relationship of PM2.5 and meteorological condition based on WPTMM

  • ZHANG Chen1,2, NI Zhi-wei1,2, JIANG Ting1,2,3
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Abstract

PM2.5 is the main pollutant affecting the air quality, the concentration of PM2.5 is closed related to meteorological conditions, studying the influence of meteorological conditions on the concentration of PM2.5 has important significance for improving urban air quality. As fractal and wavelet have lots of advantages when dealing with complex nonlinear system, the calculating method of joint multifractal based on wavelet packet transform modulus maxima (WPTMM) has been proposed, first the variable sequences are decomposed by wavelet packet, this paper uses modulus maxima to denoise, then constructs the joint distribution function, finally calculates the joint multifractal spectrum, and analyzes the fractal correlation between two variables. This proposed method has extended single multifractal to the joint multifractal of two interacting variables, calculating joint multifractal spectra based on WPTMM can reduce computational complexity, meanwhile avoid the effects of noise. The paper has analyzed the relationship between the concentration of PM2.5 and the meteorological factors of Beijing and Hong Kong, experiment results show that this method can effectively analyze each meteorological factor on the impact of PM2.5 concentration in different seasons.

Key words

joint multifractal / wavelet packet transform modulus maxima / meteorological factors / PM2.5

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ZHANG Chen , NI Zhi-wei , JIANG Ting. Joint multifractal analysis of relationship of PM2.5 and meteorological condition based on WPTMM. Systems Engineering - Theory & Practice, 2015, 35(8): 2166-2176 https://doi.org/10.12011/1000-6788(2015)8-2166

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