关键词: 长程相关性, 标度指数, 多分形, 多分形去趋势涨落分析

Abstract: The different multi-fractal behaviors of relative humidity and temperature over China are studied by means of multi-fractal detrended fluctuation analysis (MF-DFA for short) method. Three multi-fractal parameters (the spectrum width Δα, the asymmetry Δα_as?as and the long range correlation index α₀) of singularity spectrum are introduced to quantify the multi-fractal behaviors. Results show that multi-fractality in humidity daily records are stronger than that of temperature’s; stations with strong multi-fractality of relative humidity and temperature lie in different regions: southwest of China for relative humidity and South China and north of the Yellow River for the latter; asymmetry of singularity of relative humidity records is weaker than that of temperature’s and their singularity spectra exhibit left-skewed; singularity spectrum of temperature records exhibit symmetry on the whole; long range correlation of relative humidity records is higher than that of temperature’s. Combination of three parameters of multi-fractal spectrum stands for a kind of long range correlations and different behaviors of them reveal different dynamics underlying relative humidity and temperature.

Key words: long range correlation, scaling exponent, multi-fractal, multi-fractal detrended fluctuation analysis