Intrinsic chaos and external noise in population dynamics

Jorge A. González, Leonardo Trujillo and Ananı́as Escalante

Physica A: Statistical Mechanics and its Applications, 2003, vol. 324, issue 3, 723-732

Abstract: We address the problem of the relative importance of the intrinsic chaos and the external noise in determining the complexity of population dynamics. We use a recently proposed method for studying the complexity of nonlinear random dynamical systems. The new measure of complexity is defined in terms of the average number of bits per time unit necessary to specify the sequence generated by the system. This measure coincides with the rate of divergence of nearby trajectories under two different realizations of the noise. In particular, we show that the complexity of a nonlinear time-series model constructed from sheep populations comes completely from the environmental variations. However, in other situations, intrinsic chaos can be the crucial factor. This method can be applied to many other systems in biology and physics.

Keywords: Chaos; Complexity; Ecology of populations (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:324:y:2003:i:3:p:723-732

DOI: 10.1016/S0378-4371(03)00075-X

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