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Optimal Selection of a Connected Reserve Network

Author

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  • Hayri Önal

    (Department of Agricultural and Consumer Economics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801)

  • Robert A. Briers

    (School of Life Sciences, Napier University, 10 Colinton Road, Edinburgh, EH10 5DT, United Kingdom)

Abstract

Spatial considerations are important in conservation reserve design. A particularly important spatial requirement is the connectivity of selected sites. Direct connections between reserve sites increase the likelihood of species persistence by allowing dispersal and colonization of other areas within the network without species having to leave the reserve. The conventional set-covering and maximal-covering formulations of the reserve selection problem assume that species representation is the only criterion in site selection. This approach usually results in a small but highly fragmented reserve, which may not be desirable. We present a linear integer programming framework incorporating spatial contiguity as an additional site selection criterion. An empirical application to a data set on the occurrence of breeding birds in Berkshire, United Kingdom, demonstrates that site connectivity requires a significantly larger reserve. Incorporation of spatial criteria increases the computational complexity of the problem. To overcome this, we use a two-stage procedure where the original sites are aggregated first and an optimum solution is determined for the aggregate sites. Then, site selection is restricted to original sites included in the aggregate solution and a connected reserve is determined. In this particular application the above procedure generated a significantly more efficient reserve than a heuristic selection.

Suggested Citation

  • Hayri Önal & Robert A. Briers, 2006. "Optimal Selection of a Connected Reserve Network," Operations Research, INFORMS, vol. 54(2), pages 379-388, April.
    • Handle: RePEc:inm:oropre:v:54:y:2006:i:2:p:379-388
    DOI: 10.1287/opre.1060.0272
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    References listed on IDEAS

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    Cited by:

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    4. Álvarez-Miranda, Eduardo & Goycoolea, Marcos & Ljubić, Ivana & Sinnl, Markus, 2021. "The Generalized Reserve Set Covering Problem with Connectivity and Buffer Requirements," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1013-1029.
    5. Suter, Jordan F. & Conrad, Jon M. & Gomes, Carla P. & van Hoeve, Willem Jan & Sabharwal, Ashish, 2008. "Optimal Corridor Design for Grizzly Bear in the U.S. Northern Rockies," 2008 Annual Meeting, July 27-29, 2008, Orlando, Florida 6207, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    6. Weerasena, Lakmali & Shier, Douglas & Tonkyn, David & McFeaters, Mark & Collins, Christopher, 2023. "A sequential approach to reserve design with compactness and contiguity considerations," Ecological Modelling, Elsevier, vol. 478(C).
    7. Bauer, Dana Marie & Swallow, Stephen K. & Paton, Peter W.C., 2010. "Cost-effective species conservation in exurban communities: A spatial analysis," Resource and Energy Economics, Elsevier, vol. 32(2), pages 180-202, April.
    8. Chih-Wei Lin & Yu Hong & Weihao Tu & Jinfu Liu, 2022. "Multiperiod Dynamic Programming Algorithm for Optimizing a Nature Reserve," Sustainability, MDPI, vol. 14(6), pages 1-17, March.
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    11. Sahan T. M. Dissanayake & Sarah A. Jacobson, 2016. "Policies with varying costs and benefits: A land conservation classroom game," The Journal of Economic Education, Taylor & Francis Journals, vol. 47(2), pages 142-160, April.
    12. Banerjee, Simanti & Cason, Timothy N. & de Vries, Frans P. & Hanley, Nick, 2017. "Transaction costs, communication and spatial coordination in Payment for Ecosystem Services Schemes," Journal of Environmental Economics and Management, Elsevier, vol. 83(C), pages 68-89.
    13. Sándor F. Tóth & Robert G. Haight & Luke W. Rogers, 2011. "Dynamic Reserve Selection: Optimal Land Retention with Land-Price Feedbacks," Operations Research, INFORMS, vol. 59(5), pages 1059-1078, October.
    14. Liu, Gengyuan & Yang, Zhifeng & Chen, Bin & Gao, Shan & Su, Meirong & Zhang, Yan, 2015. "Designing a multi-species spatially explicit nature reserve network construction framework based on extinction probability: A case study of Wuyishan city," Ecological Modelling, Elsevier, vol. 318(C), pages 109-117.

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