Stochastic effects in mean-field population growth: The quasi-Gaussian approximation to the case of a Taylor’s law-distributed substrate

Andrey A. Khalin, Eugene B. Postnikov and Alexey B. Ryabov

Physica A: Statistical Mechanics and its Applications, 2018, vol. 511, issue C, 166-173

Abstract: We analyze the effect of the stochastic growth rates, which may originate from heterogeneity of resource distribution on the average unrestricted growth of an ensemble of non-interacting sub-populations of consumers with Holling I and II functional responses, assuming normal (Gaussian) and anomalous (Tweedie) density distributions of resources. We show that the variation in the resource availability between the sub-population habitats leads to a non-Malthusian dynamics of the initial phase of the average biomass growth, and that this phase of growth can be successfully approximated using quasi-Gaussian approach. This conclusion is illustrated by numerical simulations.

Keywords: Stochastic growth; Taylor’s law; Tweedie distribution (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:511:y:2018:i:c:p:166-173

DOI: 10.1016/j.physa.2018.07.052

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