Abstract
Multifractal Detrended Cross-Correlation Analysis (MF-DCCA) was applied to time series of global methane concentrations and remotely-sensed temperature anomalies of the global lower and mid-troposphere, with the purpose of investigating the multifractal characteristics of their cross-correlated time series and examining their interaction in terms of nonlinear analysis. The findings revealed the multifractal nature of the cross-correlated time series and the existence of positive persistence. It was also found that the cross-correlation in the lower troposphere displayed more abundant multifractal characteristics when compared to the mid-troposphere. The source of multifractality in both cases was found to be mainly the dependence of long-range correlations on different fluctuation magnitudes. Multifractal Detrended Fluctuation Analysis (MF-DFA) was also applied to the time series of global methane and global lower and mid-tropospheric temperature anomalies to separately study their multifractal properties. From the results, it was found that the cross-correlated time series exhibit similar multifractal characteristics to the component time series. This could be another sign of the dynamic interaction between the two climate variables.
Highlights
Climate change studies depend, to a great extent, on the examination of the relationship between different key components of the climate system
Multifractal Detrended Fluctuation Analysis (MF-DFA) is applied on the time series of global methane and global lower troposphere (LT) and MT temperature anomalies and the findings are discussed
The time scales used both in the MF-DFA and Multifractal Detrended Cross-Correlation Analysis (MF-DCCA) range between 30 months (s ≈ 101.5) and N/5, i.e., 84 months (s ≈ 101.9), where, by N, the length of the time series is represented
Summary
To a great extent, on the examination of the relationship between different key components of the climate system. The development of a climate data record of suitable length and reliability is required for the reliable detection of changes in the Earth’s atmospheric temperature [8]. In this respect, microwave soundings from space have proven successful in providing long-term temperature observations of the Earth’s atmosphere. The MSU/AMSU microwave sounders are cross-scanning instruments onboard polar-orbiting weather satellites measuring the profile of temperature throughout the Earth’s atmosphere. Satellite observations of temperature at different levels of the Earth’s atmosphere are considered to be a valuable tool in climate change studies, since they provide high-resolution measurements with global coverage over a multidecadal time period [9]
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