Statistical Mechanics and Information-Theoretic Perspectives on Complexity in the Earth System

Georgios Balasis*, Reik V. Donner, Stelios M. Potirakis, Jakob Runge, Constantinos Papadimitriou, Ioannis A. Daglis, Konstantinos Eftaxias, Juergen Kurths

*Corresponding author for this work

Research output: Contribution to journalLiterature review

37 Citations (Scopus)
4 Downloads (Pure)

Abstract

This review provides a summary of methods originated in (non-equilibrium) statistical mechanics and information theory, which have recently found successful applications to quantitatively studying complexity in various components of the complex system Earth. Specifically, we discuss two classes of methods: (i) entropies of different kinds (e. g., on the one hand classical Shannon and Renyi entropies, as well as non-extensive Tsallis entropy based on symbolic dynamics techniques and, on the other hand, approximate entropy, sample entropy and fuzzy entropy); and (ii) measures of statistical interdependence and causality (e. g., mutual information and generalizations thereof, transfer entropy, momentary information transfer). We review a number of applications and case studies utilizing the above-mentioned methodological approaches for studying contemporary problems in some exemplary fields of the Earth sciences, highlighting the potentials of different techniques.

Original languageEnglish
Pages (from-to)4844-4888
Number of pages45
JournalEntropy
Volume15
Issue number11
DOIs
Publication statusPublished - 7 Nov 2013

Keywords

  • entropy measures
  • symbolic dynamics
  • non-extensive statistical mechanics
  • causality
  • Earth sciences
  • self-organized criticality
  • time-series analysis
  • holocene climate variability
  • El-Nino/Southern-Oscillation
  • Nino-Southern-Oscillation
  • magnetic-field topology
  • low-dimensional chaos
  • electromagnetic emissions
  • recurrence plots
  • permutation entropy

Cite this

Balasis, G., Donner, R. V., Potirakis, S. M., Runge, J., Papadimitriou, C., Daglis, I. A., ... Kurths, J. (2013). Statistical Mechanics and Information-Theoretic Perspectives on Complexity in the Earth System. Entropy, 15(11), 4844-4888. https://doi.org/10.3390/e15114844