Components of multifractality in the Central England Temperature anomaly series

Abstract

We study the multifractal nature of the Central England Temperature (CET) anomaly, a time series that spans more than 200 years. The series is analyzed as a complete data set and considering a sliding window of 11 years. In both cases, we quantify the broadness of the multifractal spectrum as well as its components defined by the deviations from the Gaussian distribution and the influence of the dependence between measurements. The results show that the chief contribution to the multifractal structure comes from the dynamical dependencies, mainly the weak ones, followed by a residual contribution of the deviations from Gaussianity. However, using the sliding window, we verify that the spikes in the non-Gaussian contribution occur at very close dates associated with climate changes determined in previous works by component analysis methods. Moreover, the strong non-Gaussian contribution found in the multifractal measures from the 1960s onwards is in agreement with global results very recently proposed in the literature.

21 pages, 10 figures

References in corpus (8)

• Public Perception of Climate Change and the New Climate Dice
• The components of empirical multifractality in financial returns
• Finite-size effect and the components of multifractality in financial volatility
• A nonextensive approach to the dynamics of financial observables
• Generalized Hurst exponent and multifractal function of original and translated texts mapped into frequency and length time series
• Multifractal detrended fluctuation analysis of combustion flames in four-burner impinging entrained-flow gasifier
• Detrended fluctuation analysis as a statistical tool to monitor the climate
• Non-parametric segmentation of non-stationary time series