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Population-level consequences of heterospecific density-dependent movements in predator-prey systems
Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för ekologi, miljö och geovetenskap.
Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik. Evolution and Ecology Program, International Institute for Applied Systems Analysis, 2361 Laxenburg, Austria.
Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för ekologi, miljö och geovetenskap.
Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för ekologi, miljö och geovetenskap.
2014 (Engelska)Ingår i: Journal of Theoretical Biology, ISSN 0022-5193, E-ISSN 1095-8541, Vol. 342, s. 93-106Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

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.

Ort, förlag, år, upplaga, sidor
Elsevier, 2014. Vol. 342, s. 93-106
Nyckelord [en]
Moment closure, Population dynamics, Spatial structure, Species coexistence, Stochastic processes
Nationell ämneskategori
Ekologi
Identifikatorer
URN: urn:nbn:se:umu:diva-83171DOI: 10.1016/j.jtbi.2013.09.019ISI: 000330257900010PubMedID: 24060621Scopus ID: 2-s2.0-84891457841OAI: oai:DiVA.org:umu-83171DiVA, id: diva2:665648
Forskningsfinansiär
VetenskapsrådetTillgänglig från: 2013-11-20 Skapad: 2013-11-20 Senast uppdaterad: 2023-03-23Bibliografiskt granskad
Ingår i avhandling
1. Population-level consequences of spatial interactions
Öppna denna publikation i ny flik eller fönster >>Population-level consequences of spatial interactions
2013 (Engelska)Doktorsavhandling, sammanläggning (Övrigt vetenskapligt)
Abstract [en]

How is the nature of populations governed by the movement decisions made by their members? This is the core question in this thesis. To answer this question, I first assume that s movement decisions are based on conditions in their local environment. Then I derive mathematical relationships that distil the character of individual movement events, and relate the sum of these events to the dynamical properties of the population. I find that the fate of populations depend delicately on the way resident individuals relocate in response to local conditions. This general conclusion is supported by results in the four papers constituting this thesis.

In the first paper we derive a deterministic approximation of a stochastic individual-based spatial predator-prey model. We show how general types of movement behaviors either stabilise or destabilise predator-prey dynamics. Based on experimental data on movement behaviors, we conclude that predator-prey dynamics are stabilised if the prey species respond stronger to predator presence than the predatory species respond to prey.

In the second paper we derive a new type of functional response that arise when there is a behavioral spatial “race” between predators and prey. Although fundamentally different from classical functional responses, the induced density-dependencies in reproduction rates are similar to those in Holling’s type II and DeAngelis-Beddington’s functional responses.

In the third paper we perform a novel systematic investigation of density-dependencies in population growth-rates induced by the spatial covariance in empirical predator-prey systems. We categorise three types of density dependencies: “lagged”, “direct” and “independent”, and find direct and especially lagged density-dependencies to be common. We find that the density-dependencies in most cases are destabilising, which is at odds with the wide-spread view that spatial heterogeneity stabilises consumer-resource dynamics. We also find dependencies of prey density to be more common than of predator density.

In the forth paper we consider the evolution of cooperation. We formulate a stochastic individual-based group-formation process and show that profit-dependent group disengagement is evolutionarily stable and allows the emergence of stable cooperative communities.

Ort, förlag, år, upplaga, sidor
Umeå: Umeå universitet, 2013. s. 29
Nationell ämneskategori
Ekologi
Identifikatorer
urn:nbn:se:umu:diva-83194 (URN)978-91-7459-776-9 (ISBN)
Disputation
2013-12-12, KBC-huset, Lilla hörsalen, Umeå universitet, Umeå, 10:00 (Engelska)
Opponent
Handledare
Forskningsfinansiär
VetenskapsrådetForskningsrådet Formas
Tillgänglig från: 2013-11-21 Skapad: 2013-11-20 Senast uppdaterad: 2018-06-08Bibliografiskt granskad

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Sjödin, HenrikBrännström, ÅkeSöderquist, MårtenEnglund, Göran

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Institutionen för ekologi, miljö och geovetenskapInstitutionen för matematik och matematisk statistik
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