Extinction in a self-regulating population with demographic and environmental noise

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dc.creatorDrummond, Alexei J.
dc.creatorDrummond, Peter D.
dc.date2008-07-30
dc.date2008-07-31
dc.date.accessioned2026-07-07T09:53:41Z
dc.date.available2026-07-07T09:53:41Z
dc.descriptionWe present an explicit unified stochastic model of fluctuations in population size due to random birth, death, density-dependent competition and environmental fluctuations. Stochastic dynamics provide insight into small populations, including processes such as extinction, that cannot be correctly treated by deterministic methods. We present exact analytical and simulation-based results for extinction times of our stochastic model and compare the different effects of environmental stochasticity and intrinsic demographic stochasticity. We use both the discrete master equation approach and an exact mapping to a Fokker-Planck equation (the Poisson method) and stochastic equation, showing they are precisely equivalent. We also calculate approximate extinction times using a steepest descent method. This model can readily be extended to accommodate metapopulation structure and genetic variation in the population and thus represents a step towards a microscopically explicit synthesis of population dynamics and population genetics.
dc.description40 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/0807.4772
dc.identifierhttp://arxiv.org/abs/0807.4772
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166041
dc.subjectPopulations and Evolution
dc.titleExtinction in a self-regulating population with demographic and environmental noise
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