Taylor’s Power Law for Ecological Communities—An Explanation on Nonextensive/Nonlinear Statistical Grounds

  • Arruda-Neto J
  • Righi H
  • Cascino M
  • et al.
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Abstract

A new idea on how to conceptually interpret the so-called Taylor's power law for ecological com-munities 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 in-ternal dynamics of populations.

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Arruda-Neto, J. D. T., Righi, H., Cascino, M. A. G., Genofre, G. C., & Mesa, J. (2014). Taylor’s Power Law for Ecological Communities—An Explanation on Nonextensive/Nonlinear Statistical Grounds. Journal of Applied Mathematics and Physics, 02(08), 762–770. https://doi.org/10.4236/jamp.2014.28084

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