Stationary distribution of population size in Tribolium

Craig Steven Peters; Marc Mangel; R. F. Costantino

doi:10.1007/BF02459970

Stationary distribution of population size in Tribolium

Craig Steven Peters, Marc Mangel, R. F. Costantino

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We propose the use of a stationary probability distribution for the analysis of data on population size. Predicting this long term population property from short term individual events is accomplished by the use of the asymptotic theory of stochastic processes. A WKB approximation to the stationary density is obtained and then applied to observations on the flour beetle Tribolium.

Original language	English (US)
Pages (from-to)	625-638
Number of pages	14
Journal	Bulletin of Mathematical Biology
Volume	51
Issue number	5
DOIs	https://doi.org/10.1007/BF02459970
State	Published - Sep 1989
Externally published	Yes

ASJC Scopus subject areas

General Neuroscience
Immunology
General Mathematics
General Biochemistry, Genetics and Molecular Biology
General Environmental Science
Pharmacology
General Agricultural and Biological Sciences
Computational Theory and Mathematics

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title = "Stationary distribution of population size in Tribolium",

abstract = "We propose the use of a stationary probability distribution for the analysis of data on population size. Predicting this long term population property from short term individual events is accomplished by the use of the asymptotic theory of stochastic processes. A WKB approximation to the stationary density is obtained and then applied to observations on the flour beetle Tribolium.",

author = "Peters, {Craig Steven} and Marc Mangel and Costantino, {R. F.}",

note = "Funding Information: This work was partially supported by NSF Grant BSR 86-1073 and by a University of California faculty research grant. Marc Mangel also thanks the John Simon Guggenheim Foundation for support.",

year = "1989",

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AU - Peters, Craig Steven

AU - Mangel, Marc

AU - Costantino, R. F.

N1 - Funding Information: This work was partially supported by NSF Grant BSR 86-1073 and by a University of California faculty research grant. Marc Mangel also thanks the John Simon Guggenheim Foundation for support.

PY - 1989/9

Y1 - 1989/9

N2 - We propose the use of a stationary probability distribution for the analysis of data on population size. Predicting this long term population property from short term individual events is accomplished by the use of the asymptotic theory of stochastic processes. A WKB approximation to the stationary density is obtained and then applied to observations on the flour beetle Tribolium.

AB - We propose the use of a stationary probability distribution for the analysis of data on population size. Predicting this long term population property from short term individual events is accomplished by the use of the asymptotic theory of stochastic processes. A WKB approximation to the stationary density is obtained and then applied to observations on the flour beetle Tribolium.

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Stationary distribution of population size in Tribolium

Abstract

ASJC Scopus subject areas

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