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Nature Reserve Site Selection to Maximize Expected Species Covered

Author

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  • Jeffrey D. Camm

    (Department of Quantitative Analysis and Operations Management, University of Cincinnati, Cincinnati, Ohio 45221-0130)

  • Susan K. Norman

    (College of Business Administration, Northern Arizona University, Flagstaff, Arizona 86011-5066)

  • Stephen Polasky

    (Department of Applied Economics, University of Minnesota, St. Paul, Minnesota 55108-6040)

  • Andrew R. Solow

    (Woods Hole Oceanographic Institution, Woods Hole, Massachusetts 02543)

Abstract

We analyze the problem of maximizing the expected number of species in a nature reserve network, subject to a constraint on the number of sites in the network, given probabilistic information about species occurrences. The problem is a nonlinear binary integer program that is NP-hard. We develop a linear integer programming approximation that may be solved with standard integer programming software. We compare the approximation with two other approaches, an expected greedy approach and a probability hurdle approach, using probabilistic data on occurrences of terrestrial vertebrates in the state of Oregon. Results of the approximation and an exact algorithm are compared by using samples from the North American Breeding Bird Survey.

Suggested Citation

  • Jeffrey D. Camm & Susan K. Norman & Stephen Polasky & Andrew R. Solow, 2002. "Nature Reserve Site Selection to Maximize Expected Species Covered," Operations Research, INFORMS, vol. 50(6), pages 946-955, December.
    • Handle: RePEc:inm:oropre:v:50:y:2002:i:6:p:946-955
    DOI: 10.1287/opre.50.6.946.351
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    References listed on IDEAS

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    Cited by:

    1. Billionnet, Alain, 2013. "Mathematical optimization ideas for biodiversity conservation," European Journal of Operational Research, Elsevier, vol. 231(3), pages 514-534.
    2. Billionnet, Alain, 2011. "Solving the probabilistic reserve selection problem," Ecological Modelling, Elsevier, vol. 222(3), pages 546-554.
    3. Timothy Matisziw & Alan Murray, 2006. "Promoting species persistence through spatial association optimization in nature reserve design," Journal of Geographical Systems, Springer, vol. 8(3), pages 289-305, September.
    4. Hayri Önal & Robert A. Briers, 2006. "Optimal Selection of a Connected Reserve Network," Operations Research, INFORMS, vol. 54(2), pages 379-388, April.
    5. Karatas, Mumtaz & Eriskin, Levent, 2023. "Linear and piecewise linear formulations for a hierarchical facility location and sizing problem," Omega, Elsevier, vol. 118(C).
    6. Onal, Hayri & Yanprechaset, Pornchanok, 2007. "Site accessibility and prioritization of nature reserves," Ecological Economics, Elsevier, vol. 60(4), pages 763-773, February.
    7. Hamaide, Bertrand & Albers, Heidi J. & Busby, Gwenlyn, 2014. "Backup coverage models in nature reserve site selection with spatial spread risk heterogeneity," Socio-Economic Planning Sciences, Elsevier, vol. 48(2), pages 158-167.
    8. Hamaide, Bertrand & ReVelle, Charles S. & Malcolm, Scott A., 2006. "Biological reserves, rare species and the trade-off between species abundance and species diversity," Ecological Economics, Elsevier, vol. 56(4), pages 570-583, April.
    9. Mikael Rönnqvist & Sophie D’Amours & Andres Weintraub & Alejandro Jofre & Eldon Gunn & Robert Haight & David Martell & Alan Murray & Carlos Romero, 2015. "Operations Research challenges in forestry: 33 open problems," Annals of Operations Research, Springer, vol. 232(1), pages 11-40, September.
    10. O’Hanley, Jesse R. & Scaparra, M. Paola & García, Sergio, 2013. "Probability chains: A general linearization technique for modeling reliability in facility location and related problems," European Journal of Operational Research, Elsevier, vol. 230(1), pages 63-75.
    11. Trung Hieu Tran & Thu Ba T. Nguyen, 2019. "Alternative-fuel station network design under impact of station failures," Annals of Operations Research, Springer, vol. 279(1), pages 151-186, August.
    12. Egoh, Benis & Rouget, Mathieu & Reyers, Belinda & Knight, Andrew T. & Cowling, Richard M. & van Jaarsveld, Albert S. & Welz, Adam, 2007. "Integrating ecosystem services into conservation assessments: A review," Ecological Economics, Elsevier, vol. 63(4), pages 714-721, September.
    13. 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.
    14. Stephanie A. Snyder & Robert G. Haight, 2016. "Application of the Maximal Covering Location Problem to Habitat Reserve Site Selection," International Regional Science Review, , vol. 39(1), pages 28-47, January.
    15. Karatas, Mumtaz & Eriskin, Levent, 2021. "The minimal covering location and sizing problem in the presence of gradual cooperative coverage," European Journal of Operational Research, Elsevier, vol. 295(3), pages 838-856.
    16. 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.
    17. Yemshanov, Denys & Haight, Robert G. & MacQuarrie, Chris J.K. & Simpson, Mackenzie & Koch, Frank H. & Ryan, Kathleen & Bullas-Appleton, Erin, 2022. "Hierarchical governance in invasive species survey campaigns," Ecological Economics, Elsevier, vol. 201(C).
    18. Rakesh R. Mallipeddi & Subodha Kumar & Chelliah Sriskandarajah & Yunxia Zhu, 2022. "A Framework for Analyzing Influencer Marketing in Social Networks: Selection and Scheduling of Influencers," Management Science, INFORMS, vol. 68(1), pages 75-104, January.
    19. Alexandre Colaers Andersen & Konstantin Pavlikov & Túlio A. M. Toffolo, 2022. "Weapon-target assignment problem: exact and approximate solution algorithms," Annals of Operations Research, Springer, vol. 312(2), pages 581-606, May.
    20. Maarten Punt & Hans-Peter Weikard & Ekko Ierland & Jan Stel, 2012. "Large Scale Marine Protected Areas for Biodiversity Conservation Along a Linear Gradient: Cooperation, Strategic Behavior or Conservation Autarky?," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 53(2), pages 203-228, October.
    21. Costello, Christopher & Polasky, Stephen, 2004. "Dynamic reserve site selection," Resource and Energy Economics, Elsevier, vol. 26(2), pages 157-174, June.
    22. Strange, Niels & Jacobsen, Jette Bredahl & Tarp, Peter & Thorsen, Bo Jellesmark, 8. "Excepted coverage of endangered species on Danish heathland," Scandinavian Forest Economics: Proceedings of the Biennial Meeting of the Scandinavian Society of Forest Economics, Scandinavian Society of Forest Economics, issue 41, May.
    23. Tajibaeva, Liaila & Haight, Robert & Stephen, Polasky, 2014. "Welfare and Biodiversity Tradeoffs in Urban Open Space Protection," 2014 Annual Meeting, July 27-29, 2014, Minneapolis, Minnesota 170602, Agricultural and Applied Economics Association.
    24. O'Hanley, Jesse R. & Church, Richard L., 2011. "Designing robust coverage networks to hedge against worst-case facility losses," European Journal of Operational Research, Elsevier, vol. 209(1), pages 23-36, February.
    25. Trung Hieu Tran & Jesse R. O’Hanley & M. Paola Scaparra, 2017. "Reliable Hub Network Design: Formulation and Solution Techniques," Transportation Science, INFORMS, vol. 51(1), pages 358-375, February.

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