Transient population dynamics in periodic matrix models: methodology and effects of cyclic permutations.

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Serval ID
serval:BIB_E8B44161FDA3
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Transient population dynamics in periodic matrix models: methodology and effects of cyclic permutations.
Journal
Ecology
Author(s)
Mertens S.K., Yearsley J.M., van den Bosch F., Gilligan C.A.
ISSN
0012-9658 (Print)
ISSN-L
0012-9658
Publication state
Published
Issued date
2006
Volume
87
Number
9
Pages
2338-2348
Language
english
Notes
Publication types: Journal Article ; Research Support, Non-U.S. Gov't
Publication Status: ppublish
Abstract
Many biological populations are subject to periodically changing environments such as years with or without fire, or rotation of crop types. The dynamics and management options for such populations are frequently investigated using periodic matrix models. However the analysis is usually limited to long-term results (asymptotic population growth rate and its sensitivity to perturbations of vital rates). In non-periodic matrix models it has been shown that long-term results may be misleading as populations are rarely in their stable structure. We therefore develop methods to analyze transient dynamics of periodic matrix models. In particular, we show how to calculate the effects of perturbations on population size within and at the end of environmental cycles. Using a model of a weed population subject to a crop rotation, we show that different cyclic permutations produce different patterns of sensitivity of population size and different population sizes. By examining how the starting environment interacts with the initial conditions, we explain how different patterns arise. Such understanding is critical to developing effective management and monitoring strategies for populations subject to periodically recurring environments.
Keywords
Daucus carota, Ecology, Environment, Models, Biological, Periodicity, Polygonum/physiology, Population Dynamics, Time Factors, Triticum
Pubmed
Web of science
Open Access
Yes
Create date
20/01/2008 15:38
Last modification date
20/08/2019 16:11
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