Nonlinear time series analysis of annual temperatures concerning the global Earth climate

This paper presents results concerning the nonlinear analysis of the mean annual value temperature time series corresponding to the Earth’s global climate for the time period of 713 – 2004. The nonlinear analysis consists of the application of several filtering methods, the estimation of geometrical and dynamical characteristics in the reconstructed phase space, techniques of discrimination between nonlinear low dimensional and linear high dimensional (stochastic) dynamics and tests for serial dependence and nonlinear structure. All study results converge to the conclusion of nonlinear stochastic and complex nature of the global earth climate.