Taylor's power law for ecological communities: an explanation on nonextensive/nonlinear statistical grounds
Arruda Neto, João Dias de Toledo
Cascino, Marcos Antonio Gagliardi
Genofre, Godofredo da Camara
Hormaza, Joel Mesa [UNESP]
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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.
Taylor’s law, Long-range interaction, Population variabilities, Ecological complexity, Ecological nonlinearity
Journal of Applied Mathematics and Physics, v. 2, n. 8, p. 762-770, 2014.