✦ LIBER ✦

Population growth in random environments

✍ Scribed by Carlos A. Braumann

Publisher: Springer
Year: 1983
Tongue: English
Weight: 374 KB
Volume: 45
Category: Article
ISSN: 1522-9602
DOI: 10.1016/s0092-8240(83)80016-0

No coin nor oath required. For personal study only.

✦ Synopsis

This paper reviews some recent advances in single population stochastic differential equation growth models. They are a natural way to model population growth in a randomly varying environment. The question of which calculus, It6 or Sttatonovich, is preferable is addressed. The two calculi coincide when the noise term is linear, if we take into account the differences in the interpretation of the parameters. This clarifies, among other things, the controversy on the theory of niche limiting similarity proposed by May and MacArthur. The effects of correlations in the environmental fluctuations and statistical methods for estimating parameters and for prediction based on a single population trajectory are mentioned. Applications to fisheries, wildlife management and particularly to environmental impact assessment are now becoming possible and are proposed in this paper.

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