JAMP  Vol.2 No.8 , July 2014
Taylor’s Power Law for Ecological Communities—An Explanation on Nonextensive/Nonlinear Statistical Grounds
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.
Cite this paper: Arruda-Neto, J. , Righi, H. , Cascino, M. , Genofre, G. and Mesa, J. (2014) Taylor’s Power Law for Ecological Communities—An Explanation on Nonextensive/Nonlinear Statistical Grounds. Journal of Applied Mathematics and Physics, 2, 762-770. doi: 10.4236/jamp.2014.28084.

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