Extinction and exponential growth in random environments
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Extinction and exponential growth in random environments. / Keiding, Niels.
In: Theoretical Population Biology, Vol. 8, No. 1, 08.1975, p. 49-63.Research output: Contribution to journal › Journal article › Research › peer-review
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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