Catastrophe management and inter-reserve distance for marine reserve networks

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2007Embargo end date: 01 Jan 2003 Australia English Publisher:Elsevier BVJournal:Ecological Modelling, volume 201, pages 82-88 (issn: 0304-3800,

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Authors: Wagner, L. D.; Ross, J. V.; Possingham, H. P.;

doi: 10.1016/j.ecolmodel.2006.07.030 , 10.48550/arxiv.math/0309255

arXiv: math/0309255

handle: 2440/66489 , 10072/127523

Catastrophe management and inter-reserve distance for marine reserve networks

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Abstract

We consider the optimal spacing between marine reserves for maximising the viability of a species occupying a reserve network. The closer the networks are placed together, the higher the probability of colonisation of an empty reserve by an occupied reserve, thus increasing population viability. However, the closer the networks are placed together, the higher the probability that a catastrophe will cause extinction of the species in both reserves, thus decreasing population viability. Using a simple discrete-time Markov chain model for the presence or absence of the species in each reserve we determine the distance between the two reserves which provides the optimal trade-off between these processes, resulting in maximum viability of the species.

12 pages and 9 figures

Country

Australia

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Keywords

Environmental Sciences & Ecology, Marine and estuarine ecology (incl. marine ichthyology), ECOLOGY, Quantitative Biology - Quantitative Methods, 780101 Mathematical sciences, C1, Marine reserves, 60G99, 60J10, 60J25, 90B15, 92B05, FOS: Mathematics, Ecological impacts of climate change and ecological adaptation, Quantitative Biology - Populations and Evolution, Mathematics - Optimization and Control, Quantitative Methods (q-bio.QM), Ecology, Stochastic analysis and modelling, Probability (math.PR), Populations and Evolution (q-bio.PE), Extinction, Other Quantitative Biology (q-bio.OT), Metapopulation model, Quantitative Biology - Other Quantitative Biology, 230202 Stochastic Analysis and Modelling, Optimization and Control (math.OC), FOS: Biological sciences, Catastrophes, Mathematics - Probability

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