Extinction and exponential growth in random environments

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Standard

Extinction and exponential growth in random environments. / Keiding, Niels.

I: Theoretical Population Biology, Bind 8, Nr. 1, 08.1975, s. 49-63.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Keiding, N 1975, 'Extinction and exponential growth in random environments', Theoretical Population Biology, bind 8, nr. 1, s. 49-63. https://doi.org/10.1016/0040-5809(75)90038-6

APA

Keiding, N. (1975). Extinction and exponential growth in random environments. Theoretical Population Biology, 8(1), 49-63. https://doi.org/10.1016/0040-5809(75)90038-6

Vancouver

Keiding N. Extinction and exponential growth in random environments. Theoretical Population Biology. 1975 aug.;8(1):49-63. https://doi.org/10.1016/0040-5809(75)90038-6

Author

Keiding, Niels. / Extinction and exponential growth in random environments. I: Theoretical Population Biology. 1975 ; Bind 8, Nr. 1. s. 49-63.

Bibtex

@article{de536e37549f4170a318930a33578b2b,
title = "Extinction and exponential growth in random environments",
abstract = "The influence of randomly varying environments on unrestricted population growth and extinction is analyzed by means of branching processes with random environments (BPRE). A main theme is the interplay between environmental and sampling (or {"}demographic{"}) variability. If the two sources of variationg are of comparable magnitude, the environmental variation will dominate except as regards the event of extinction. A diffusion approximation of BPRE is proposed to study the situation of a large population with small environmental variance and mean offspring size near one. Comments on the ecological literature as well as on the relation of the results to previous work involving stochastic differential equations are also given.",
author = "Niels Keiding",
year = "1975",
month = aug,
doi = "10.1016/0040-5809(75)90038-6",
language = "English",
volume = "8",
pages = "49--63",
journal = "Theoretical Population Biology",
issn = "0040-5809",
publisher = "Academic Press",
number = "1",

}

RIS

TY - JOUR

T1 - Extinction and exponential growth in random environments

AU - Keiding, Niels

PY - 1975/8

Y1 - 1975/8

N2 - The influence of randomly varying environments on unrestricted population growth and extinction is analyzed by means of branching processes with random environments (BPRE). A main theme is the interplay between environmental and sampling (or "demographic") variability. If the two sources of variationg are of comparable magnitude, the environmental variation will dominate except as regards the event of extinction. A diffusion approximation of BPRE is proposed to study the situation of a large population with small environmental variance and mean offspring size near one. Comments on the ecological literature as well as on the relation of the results to previous work involving stochastic differential equations are also given.

AB - The influence of randomly varying environments on unrestricted population growth and extinction is analyzed by means of branching processes with random environments (BPRE). A main theme is the interplay between environmental and sampling (or "demographic") variability. If the two sources of variationg are of comparable magnitude, the environmental variation will dominate except as regards the event of extinction. A diffusion approximation of BPRE is proposed to study the situation of a large population with small environmental variance and mean offspring size near one. Comments on the ecological literature as well as on the relation of the results to previous work involving stochastic differential equations are also given.

UR - http://www.scopus.com/inward/record.url?scp=0016537893&partnerID=8YFLogxK

U2 - 10.1016/0040-5809(75)90038-6

DO - 10.1016/0040-5809(75)90038-6

M3 - Journal article

C2 - 1179271

AN - SCOPUS:0016537893

VL - 8

SP - 49

EP - 63

JO - Theoretical Population Biology

JF - Theoretical Population Biology

SN - 0040-5809

IS - 1

ER -

ID: 202485185