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Tsallis non-extensive statistical mechanics of El Niño southern oscillation index

Author

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  • Ausloos, M.
  • Petroni, F.

Abstract

The shape and tails of partial distribution functions (PDF) for a climatological signal, i.e., the El Niño SOI and the turbulent nature of the ocean–atmosphere variability are linked through a model encompassing Tsallis non-extensive statistics and leading to evolution equations of the Langevin and Fokker–Planck type. A model originally proposed to describe the intermittent behavior of turbulent flows describes the behavior of the normalized variability for such a climatological index, for small and large time windows, both for small and large variability. This normalized variability distributions can be sufficiently well fitted with a χ2-distribution. The transition between the small time scale model of non-extensive, intermittent process and the large-scale Gaussian extensive homogeneous fluctuation picture is found to occur at above ca. a 48 months time lag. The intermittency exponent (κ) in the framework of the Kolmogorov log-normal model is found to be related to the scaling exponent of the PDF moments. The value of κ(=0.25) is in agreement with the intermittency exponent recently obtained for other atmospheric data.

Suggested Citation

  • Ausloos, M. & Petroni, F., 2007. "Tsallis non-extensive statistical mechanics of El Niño southern oscillation index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 721-736.
    • Handle: RePEc:eee:phsmap:v:373:y:2007:i:c:p:721-736
    DOI: 10.1016/j.physa.2006.05.044
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    Citations

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    Cited by:

    1. Hoyos, Isabel & Rodríguez, Boris Anghelo, 2020. "Drawing the complexity of Colombian climate from non-extensive extreme behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
    2. Chan-juan Li & Yuan-qing Chai & Lin-sheng Yang & Hai-rong Li, 2016. "Spatio-temporal distribution of flood disasters and analysis of influencing factors in Africa," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 82(1), pages 721-731, May.
    3. Petroni, Filippo & Ausloos, Marcel, 2008. "High frequency intrinsic modes in El Niño/Southern Oscillation Index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5246-5254.
    4. Ferri, Gustavo L. & Figliola, Alejandra & Rosso, Osvaldo A., 2012. "Tsallis’ statistics in the variability of El Niño/Southern Oscillation during the Holocene epoch," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 2154-2162.
    5. Ferri, G.L. & Reynoso Savio, M.F. & Plastino, A., 2010. "Tsallis’ q-triplet and the ozone layer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(9), pages 1829-1833.

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