Title

Overall population growth in periodic environment

Document Type

Article

Publication Date

12-4-1998

Publication Title

Environmetrics

Abstract

We consider populations with an exponential growth or decay and random life time. We assume that the calendar time is subdivided into consecutive time periods of equal length. After successive completion of the nth growth period, with probability α, there will be an accumulated overall population cn, (c>1 means growth, cdecay). The time duration up to eventual termination of the growth from the start of any time period is a r.v. T, independent of the number of survived periods. M is the overall population size generated by one individuality from the start of the process until its termination. We derive the probability distribution of M and establish that it possesses the multiplicative almost lack of memory property. This appears as a kind of generalization of The Uniform distribution, when c1. We elaborate on the properties of the random variable M and discuss possible applications to environmental studies.

Volume

9

Issue

3

First Page

317

Last Page

328

DOI

10.1002/(SICI)1099-095X(199805/06)9:3<317::AID-ENV307>3.0.CO;2-J

ISSN

1099-095X

Rights

© 1998 John Wiley & Sons, Ltd.

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