Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

Aggregation and stability in meta-population models

Murdoch, W.W and Briggs, C.J. and Nisbet, R.M. and Gurney, William and Stewart-Oaten, A. (1992) Aggregation and stability in meta-population models. American Naturalist, 140 (1). pp. 41-58. ISSN 0003-0147

Full text not available in this repository. (Request a copy from the Strathclyde author)

Abstract

We analyze a metapopulation model of the interactions between Lotka-Volterra-type prey and predators that occur in two environmentally distinguishable patches and are linked by migration. Environmental differences between the patches tend to stabilize the otherwise neutrally stable model by causing the per capita immigration rate on a patch to be temporally density-dependent, partly as a consequence of out-of-phase fluctuations in density. However, the environmental differences can also lead to indirect effects on the temporal dependence of per capita prey death rate on prey density in each patch and on temporal dependence of per capita predator birthrate on predator density in each patch. Spatially density-dependent movement by the prey can be either uniformly destabilizing or initially stabilizing and then destabilizing as the degree of density dependence increases, depending on the overall rate of prey movement. Aggregation by the predator to the patch with more prey modifies one or more of the three processes listed above. Typically, weak aggregation is stabilizing, and strong aggregation is destabilizing. Aggregation can also render unstable an initially stable model. We conclude that metapopulation and single-population models are not good analogues of each other and that predator aggregation affects the two types of models via different mechanisms.

Item type: Article
ID code: 41885
Keywords: migration, density fluctuations, death rate, aggregation , metapopulation model, Probabilities. Mathematical statistics, Medicine(all)
Subjects: Science > Mathematics > Probabilities. Mathematical statistics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
Depositing user: Pure Administrator
Date Deposited: 02 Nov 2012 05:47
Last modified: 05 Sep 2014 18:33
URI: http://strathprints.strath.ac.uk/id/eprint/41885

Actions (login required)

View Item