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

被引:76
作者
Balasis, Georgios [1 ]
Donner, Reik V. [2 ,3 ]
Potirakis, Stelios M. [4 ]
Runge, Jakob [2 ,5 ]
Papadimitriou, Constantinos [1 ,6 ]
Daglis, Ioannis A. [1 ,6 ]
Eftaxias, Konstantinos [7 ]
Kurths, Juergen [2 ,5 ,8 ]
机构
[1] Natl Observ Athens, Inst Astron Astrophys Space Applicat & Remote Sen, GR-15236 Penteli, Greece
[2] Potsdam Inst Climate Impact Res, Res Domain Transdisciplinary Concepts & Methods 4, D-14473 Potsdam, Germany
[3] Max Planck Inst Biogeochem, Dept Biogeochem Integrat, D-07745 Jena, Germany
[4] Technol Educ Inst TEI Piraeus, Dept Elect Engn, GR-12244 Athens, Greece
[5] Humboldt Univ, Dept Phys, D-12489 Berlin, Germany
[6] Univ Athens, Dept Phys, Sect Astrophys Astron & Mech, Athens 15784, Greece
[7] Univ Athens, Dept Phys, Sect Solid State Phys, Athens 15784, Greece
[8] Univ Aberdeen, Inst Complex Syst & Math Biol, Aberdeen AB24 3UE, Scotland
关键词
entropy measures; symbolic dynamics; non-extensive statistical mechanics; causality; Earth sciences; SELF-ORGANIZED CRITICALITY; TIME-SERIES ANALYSIS; EL-NINO/SOUTHERN-OSCILLATION; MAGNETIC-FIELD TOPOLOGY; ELECTROMAGNETIC EMISSIONS; APPROXIMATE ENTROPY; RECURRENCE PLOTS; LOW-FREQUENCY; DYNAMIC MAGNETOSPHERE; PHASE SYNCHRONIZATION;
D O I
10.3390/e15114844
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:4844 / 4888
页数:45
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