# Mathematical Methods for Spatially Cohesive Reserve Design

Mathematical Methods for Spatially Cohesive Reserve Design 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Environmental Modeling & Assessment Springer Journals

# Mathematical Methods for Spatially Cohesive Reserve Design

Environmental Modeling & Assessment, Volume 7 (2) – Oct 10, 2004
8 pages

1

/lp/springer-journals/mathematical-methods-for-spatially-cohesive-reserve-design-gFN0ImZbcL
Publisher
Springer Journals
Subject
Environment; Applications of Mathematics; Mathematical Modeling and Industrial Mathematics; Environment, general
ISSN
1420-2026
eISSN
1573-2967
D.O.I.
10.1023/A:1015649716111
Publisher site
See Article on Publisher Site

### 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.

### Journal

Environmental Modeling & AssessmentSpringer Journals

Published: Oct 10, 2004

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