TITLE:
Taylor’s Power Law for Ecological Communities—An Explanation on Nonextensive/Nonlinear Statistical Grounds
AUTHORS:
João D. T. Arruda-Neto, Henriette Righi, Marcos Antonio G. Cascino, Godofredo C. Genofre, Joel Mesa
KEYWORDS:
Taylor’s Law, Long-Range Interaction, Population Variabilities, Ecological Complexity, Ecological Nonlinearity
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.8,
July
4,
2014
ABSTRACT: A new idea on how to conceptually interpret the so-called Taylor’s power law for ecological communities is presented. The core of our approach is based on nonextensive/nonlinear statistical concepts, which are shown to be at the genesis of all power laws, particularly when a system is constituted by long-range interacting elements. In this context, the ubiquity of the Taylor’s power law is discussed and addressed by showing that long-range interactions are at the heart of the internal dynamics of populations.