Mathematical Methods for Spatially Cohesive Reserve Design |
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Authors: | Mark D McDonnell Hugh P Possingham Ian R Ball Elizabeth A Cousins |
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Institution: | (1) Department of Applied Mathematics, The University of Adelaide, South Australia, 5005, Australia;(2) Department of Mathematics and Zoology & Entomology, The University of Queensland, St Lucia Queensland, 4072, Australia;(3) Australian Antarctic Division, Channel Highway, Kingston, 7050 Tasmania, Australia |
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Abstract: | The problem of designing spatially cohesive nature reserve systems that meet biodiversity objectives is formulated as a nonlinear integer programming problem. The multiobjective function minimises a combination of boundary length, area and failed representation of the biological attributes we are trying to conserve. The task is to reserve a subset of sites that best meet this objective. We use data on the distribution of habitats in the Northern Territory, Australia, to show how simulated annealing and a greedy heuristic algorithm can be used to generate good solutions to such large reserve design problems, and to compare the effectiveness of these methods. |
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Keywords: | reserve design simulated annealing set covering problem spatial clustering fragmentation optimisation heuristics multiobjective optimisation |
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