Preventing extinction and outbreaks in chaotic populations

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dc.creatorHilker, Frank M.
dc.creatorWesterhoff, Frank H.
dc.date2006-06-30
dc.date2007-08-29
dc.date.accessioned2026-07-07T08:26:14Z
dc.date.available2026-07-07T08:26:14Z
dc.descriptionInteractions in ecological communities are inherently nonlinear and can lead to complex population dynamics including irregular fluctuations induced by chaos. Chaotic population dynamics can exhibit violent oscillations with extremely small or large population abundances that might cause extinction and recurrent outbreaks, respectively. We present a simple method that can guide management efforts to prevent crashes, peaks, or any other undesirable state. At the same time, the irregularity of the dynamics can be preserved when chaos is desirable for the population. The control scheme is easy to implement because it relies on time series information only. The method is illustrated by two examples: control of crashes in the Ricker map and control of outbreaks in a stage-structured model of the flour beetle Tribolium. It turns out to be effective even with few available data and in the presence of noise, as is typical for ecological settings.
dc.description10 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/q-bio/0606042
dc.identifierhttp://arxiv.org/abs/q-bio/0606042
dc.identifierAmerican Naturalist 170, 232-241 (2007)
dc.identifierdoi:10.1086/518949
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136875
dc.subjectPopulations and Evolution
dc.subjectChaotic Dynamics
dc.titlePreventing extinction and outbreaks in chaotic populations
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