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RUSSIAN JOURNAL OF EARTH SCIENCES VOL. 12, ES3001, doi:10.2205/2012ES000510, 2012

Global warming in mathematical model of multifractal dynamics

A. N. Kudinov, O. I. Krylova, V. P. Tsvetkov, I. V. Tsvetkov

Tver State University, Tver, Russia


Abstract

In this work the variations of global temperature that have occurred in the period from 1860 up to now are analyzed on the basis of the concept of multifractal dynamics. The multifractal curve describing dynamics of global temperature for this period of time has the following values of fractal dimensions over 5 periods lasting for 30–31 years each, accordingly: D1 = 1.140; D2 =1.166; D3 = 1.141; D4 = 1.203; D5 = 1.183. Such relatively small values of fractal dimensions are indicative of essentially determined character of processes responsible for variations of global temperature. Our predictive estimates provide 0.5oC increase in global temperature by 2072, thereby confirming maintenance of the tendency of global warming in the near future.

Received 2 February 2012; accepted 10 February 2012; published 25 February 2012.

Keywords: Fractal, multifractal dynamics, global warming, climate, global temperature


RJES

Citation: Kudinov, A. N., O. I. Krylova, V. P. Tsvetkov, I. V. Tsvetkov (2012), Global warming in mathematical model of multifractal dynamics, Russ. J. Earth Sci., 12, ES3001, doi:10.2205/2012ES000510.

Copyright 2012 by the Geophysical Center RAS