Title: Multifractal detrended cross correlation analysis of atmospheric CO₂ concentration and land-surface temperature anomalies

Authors: Sucharita Chatterjee; Dipak Ghosh; Srimonti Dutta

Addresses: Department of Physics, Bangabasi College, 19 Rajkumar Chakraborty Sarani, Kolkata, 700009, India ' Department of Physics, Jadavpur University, Kolkata, 700032, India ' Department of Physics, Behala College, Parnasree Pally, Kolkata, 700060, India

Abstract: This paper studies the cross correlation between the time series of atmospheric CO₂ concentration and the temperature anomalies data using multifractal detrended cross correlation analysis (MF-DXA) methodology. The data sets for both the series are obtained over a period from 1994 to 2009. In our previous paper we have studied the multifractal nature of the time series of atmospheric CO₂ concentration using multifractal detrended fluctuation analysis (MF-DFA). In this paper we have attempted to explore the correlation between the increasing CO₂ concentration and increasing values of temperature anomalies. The present study reveals the fact that the individual series are autocorrelated and there exists cross correlation between the two mentioned time series.

Keywords: non-stationary time series; multifractals; degree of multifractality; cross correlation; long-range correlation.

DOI: 10.1504/IJGW.2018.094559

International Journal of Global Warming, 2018 Vol.16 No.2, pp.209 - 228

Received: 20 Sep 2017
Accepted: 20 Jan 2018
Published online: 06 Sep 2018 *

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