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Time series analysis of Earth's Northern Hemisphere temperature reconstructions using non-linear tools and statistical tests


  • George E. Halkos
  • Kyriaki D. Tsilika
  • Aggelos C. Iliopoulos


This paper presents results concerning the non-linear analysis of the Earth's Northern Hemisphere mean annual land temperature reconstructions for the time period of 713-2004. The non-linear 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 non-linear low-dimensional and linear high-dimensional (stochastic) dynamics and tests for serial dependence and non-linear structure. The results of this study indicate the efficiency of the filtering methods in revealing non-linear structures and correlations in short noisy time series, such as Earth's Northern Hemisphere temperature reconstructions. No low-dimensional chaotic behaviour evidence was found from the analysis.

Suggested Citation

  • George E. Halkos & Kyriaki D. Tsilika & Aggelos C. Iliopoulos, 2018. "Time series analysis of Earth's Northern Hemisphere temperature reconstructions using non-linear tools and statistical tests," International Journal of Innovation and Sustainable Development, Inderscience Enterprises Ltd, vol. 12(1/2), pages 220-245.
  • Handle: RePEc:ids:ijisde:v:12:y:2018:i:1/2:p:220-245

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