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Consequences for predators of rescue and Allee effects on prey

Consequences for predators of rescue and Allee effects on prey
Consequences for predators of rescue and Allee effects on prey
The size of a population can be augmented by enriching the carrying capacity of its limiting resource, or by subsidising the renewal of the resource. The well known ‘paradox of enrichment’ models the first case, in which enrichment can force consumers and their limiting resource into destabilising limit cycles, whereas impoverishment stabilises the dynamics. In this paper we model the case of resource subsidy, where the resource is a limiting prey to predators. In contrast to enrichment, the system is stabilised by an influx of prey in the form of a rescue effect, and destabilised by an outflux of prey in the form of an Allee effect. Limit cycles are not sustained by the Allee effect; instead both populations collapse to zero over a large region of the predator-prey phase plane. The catastrophic extinction of prey requires the presence of both an Allee effect on prey and a predator with a type II functional response, though neither needs to contribute a large impact to prey dynamics. The novel implication is that consumers exaggerate the impact of Allee effects on a renewing resource. Conversely, an Allee effect in the form of a cull of resource, even of small value, can trigger local extinction of resource-dependent consumers.
extinction threshold, functional response, lotka–volterra, open system
0304-3800
233-245
Kent, Adam
93be5365-3fc2-4a2c-8712-50d9e04eefe7
Doncaster, C. Patrick
0eff2f42-fa0a-4e35-b6ac-475ad3482047
Sluckin, Tim
8dbb6b08-7034-4ae2-aa65-6b80072202f6
Kent, Adam
93be5365-3fc2-4a2c-8712-50d9e04eefe7
Doncaster, C. Patrick
0eff2f42-fa0a-4e35-b6ac-475ad3482047
Sluckin, Tim
8dbb6b08-7034-4ae2-aa65-6b80072202f6

Kent, Adam, Doncaster, C. Patrick and Sluckin, Tim (2003) Consequences for predators of rescue and Allee effects on prey. Ecological Modelling, 162 (3), 233-245. (doi:10.1016/S0304-3800(02)00343-5).

Record type: Article

Abstract

The size of a population can be augmented by enriching the carrying capacity of its limiting resource, or by subsidising the renewal of the resource. The well known ‘paradox of enrichment’ models the first case, in which enrichment can force consumers and their limiting resource into destabilising limit cycles, whereas impoverishment stabilises the dynamics. In this paper we model the case of resource subsidy, where the resource is a limiting prey to predators. In contrast to enrichment, the system is stabilised by an influx of prey in the form of a rescue effect, and destabilised by an outflux of prey in the form of an Allee effect. Limit cycles are not sustained by the Allee effect; instead both populations collapse to zero over a large region of the predator-prey phase plane. The catastrophic extinction of prey requires the presence of both an Allee effect on prey and a predator with a type II functional response, though neither needs to contribute a large impact to prey dynamics. The novel implication is that consumers exaggerate the impact of Allee effects on a renewing resource. Conversely, an Allee effect in the form of a cull of resource, even of small value, can trigger local extinction of resource-dependent consumers.

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Published date: 15 April 2003
Keywords: extinction threshold, functional response, lotka–volterra, open system

Identifiers

Local EPrints ID: 29593
URI: http://eprints.soton.ac.uk/id/eprint/29593
ISSN: 0304-3800
PURE UUID: ddbd78be-c283-43a7-8920-876b4087ecaf
ORCID for C. Patrick Doncaster: ORCID iD orcid.org/0000-0001-9406-0693
ORCID for Tim Sluckin: ORCID iD orcid.org/0000-0002-9163-0061

Catalogue record

Date deposited: 12 May 2006
Last modified: 27 Apr 2022 01:37

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Contributors

Author: Adam Kent
Author: Tim Sluckin ORCID iD

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