Population-level consequences of heterospecific density-dependent movements in predator-prey systems

Sjödin H, Brännström A, Soederquist M, & Englund G (2014). Population-level consequences of heterospecific density-dependent movements in predator-prey systems. Journal of Theoretical Biology: 93-106. DOI:10.1016/j.jtbi.2013.09.019.

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Abstract

In this paper we elucidate how small-scale movements, such as those associated with searching for food and avoiding predators, affect the stability of predator-prey dynamics. We investigate an individual-based Lotka-Volterra model with density-dependent movement, in which the predator and prey populations live in a very large number of coupled patches. The rates at which individuals leave patches depend on the local densities of heterospecifics, giving rise to one reaction norm for each of the two species. Movement rates are assumed to be much faster than demographics rates. A spatial structure of predators and prey emerges which affects the global population dynamics. We derive a criterion which reveals how demographic stability depends on the relationships between the per capita covariance and densities of predators and prey. Specifically, we establish that a positive relationship with prey density and a negative relationship with predator density tend to be stabilizing. On a more mechanistic level we show how these relationships are linked to the movement reaction norms of predators and prey. Numerical results show that these findings hold both for local and global movements, i.e., both when migration is biased towards neighbouring patches and when all patches are reached with equal probability.

Item Type: Article
Uncontrolled Keywords: Moment closure; Population dynamics; Spatial structure; Species coexistence; Stochastic processes
Research Programs: Evolution and Ecology (EEP)
Bibliographic Reference: Journal of Theoretical Biology; 342:93-106 (7 February 2014) (Published online 21 September 2013)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 08:51
Last Modified: 24 Feb 2016 15:15
URI: http://pure.iiasa.ac.at/11029

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