dorsal/arxiv
View SchemaPreventing extinction and outbreaks in chaotic populations
| Authors | Frank M. Hilker, Frank H. Westerhoff |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0606042 |
| URL | https://arxiv.org/abs/q-bio/0606042 |
| DOI | 10.1086/518949 |
| Journal | American Naturalist 170, 232-241 (2007) |
Abstract
Interactions 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.
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"abstract": "Interactions in ecological communities are inherently nonlinear and can lead\nto complex population dynamics including irregular fluctuations induced by\nchaos. Chaotic population dynamics can exhibit violent oscillations with\nextremely small or large population abundances that might cause extinction and\nrecurrent outbreaks, respectively. We present a simple method that can guide\nmanagement efforts to prevent crashes, peaks, or any other undesirable state.\nAt the same time, the irregularity of the dynamics can be preserved when chaos\nis desirable for the population. The control scheme is easy to implement\nbecause it relies on time series information only. The method is illustrated by\ntwo examples: control of crashes in the Ricker map and control of outbreaks in\na stage-structured model of the flour beetle Tribolium. It turns out to be\neffective even with few available data and in the presence of noise, as is\ntypical for ecological settings.",
"arxiv_id": "q-bio/0606042",
"authors": [
"Frank M. Hilker",
"Frank H. Westerhoff"
],
"categories": [
"q-bio.PE",
"nlin.CD"
],
"doi": "10.1086/518949",
"journal_ref": "American Naturalist 170, 232-241 (2007)",
"title": "Preventing extinction and outbreaks in chaotic populations",
"url": "https://arxiv.org/abs/q-bio/0606042"
},
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