IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v54y2006i2p379-388.html
   My bibliography  Save this article

Optimal Selection of a Connected Reserve Network

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.1060.0272
    Download Restriction: no

    File URL: https://libkey.io/10.1287/opre.1060.0272?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Wright, Jeffrey & Revelle, Charles & Cohon, Jared, 1983. "A multiobjective integer programming model for the land acquisition problem," Regional Science and Urban Economics, Elsevier, vol. 13(1), pages 31-53, February.
    2. Williams, Justin C. & ReVelle, Charles S., 1998. "Reserve assemblage of critical areas: A zero-one programming approach," European Journal of Operational Research, Elsevier, vol. 104(3), pages 497-509, February.
    3. Robert G. Haight & Charles S. Revelle & Stephanie A. Snyder, 2000. "An Integer Optimization Approach to a Probabilistic Reserve Site Selection Problem," Operations Research, INFORMS, vol. 48(5), pages 697-708, October.
    4. Stephen Polasky & Jeffrey D. Camm & Brian Garber-Yonts, 2001. "Selecting Biological Reserves Cost-Effectively: An Application to Terrestrial Vertebrate Conservation in Oregon," Land Economics, University of Wisconsin Press, vol. 77(1), pages 68-78.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Schroder, Svetlana A. (Kushch) & Tóth, Sándor F. & Deal, Robert L. & Ettl, Gregory J., 2016. "Multi-objective optimization to evaluate tradeoffs among forest ecosystem services following fire hazard reduction in the Deschutes National Forest, USA," Ecosystem Services, Elsevier, vol. 22(PB), pages 328-347.
    2. Billionnet, Alain, 2011. "Solving the probabilistic reserve selection problem," Ecological Modelling, Elsevier, vol. 222(3), pages 546-554.
    3. Rodolfo Carvajal & Miguel Constantino & Marcos Goycoolea & Juan Pablo Vielma & Andrés Weintraub, 2013. "Imposing Connectivity Constraints in Forest Planning Models," Operations Research, INFORMS, vol. 61(4), pages 824-836, August.
    4. Beyer, Hawthorne L. & Dujardin, Yann & Watts, Matthew E. & Possingham, Hugh P., 2016. "Solving conservation planning problems with integer linear programming," Ecological Modelling, Elsevier, vol. 328(C), pages 14-22.
    5. 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.
    6. 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.
    7. 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.
    8. Gerling, Charlotte & Schöttker, Oliver & Hearne, John, 2022. "Optimal time series in the reserve design problem under climate change," MPRA Paper 114691, University Library of Munich, Germany.
    9. 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.
    10. 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).
    11. 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).
    12. 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.
    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. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Onal, Hayri & Yanprechaset, Pornchanok, 2007. "Site accessibility and prioritization of nature reserves," Ecological Economics, Elsevier, vol. 60(4), pages 763-773, February.
    2. Billionnet, Alain, 2013. "Mathematical optimization ideas for biodiversity conservation," European Journal of Operational Research, Elsevier, vol. 231(3), pages 514-534.
    3. Billionnet, Alain, 2011. "Solving the probabilistic reserve selection problem," Ecological Modelling, Elsevier, vol. 222(3), pages 546-554.
    4. 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.
    5. 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).
    6. 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.
    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. Costello, Christopher & Polasky, Stephen, 2004. "Dynamic reserve site selection," Resource and Energy Economics, Elsevier, vol. 26(2), pages 157-174, June.
    10. Önal, Hayri & Wang, Yicheng & Dissanayake, Sahan T.M. & Westervelt, James D., 2016. "Optimal design of compact and functionally contiguous conservation management areas," European Journal of Operational Research, Elsevier, vol. 251(3), pages 957-968.
    11. Hamaide, Bertrand & Sheerin, Jack, 2011. "Species protection from current reserves: Economic and biological considerations, spatial issues and policy evaluation," Ecological Economics, Elsevier, vol. 70(4), pages 667-675, February.
    12. Ruliffson, Jane A. & Haight, Robert G. & Gobster, Paul H. & Homans, Frances R., 2001. "Exploring Goal Tradeoffs In Metropolitan Natural Area Protection," 2001 Annual meeting, August 5-8, Chicago, IL 20642, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    13. Reza Taromi & Michael DuRoss & Bintong Chen & Ardeshir Faghri & Mingxin Li & Tracy DeLiberty, 2015. "A multiobjective land development optimization model: the case of New Castle County, Delaware," Transportation Planning and Technology, Taylor & Francis Journals, vol. 38(3), pages 277-304, April.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. Boyer, Tracy A., 2003. "The Wetland Restoration Site Selection Problem Under Wetland Mitigation Banking (WMB) in Minnesota," 2003 Annual meeting, July 27-30, Montreal, Canada 22189, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    20. Mark E. Lichtenstein & Claire A. Montgomery, 2003. "Biodiversity and Timber in the Coast Range of Oregon: Inside the Production Possibility Frontier," Land Economics, University of Wisconsin Press, vol. 79(1), pages 56-73.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:oropre:v:54:y:2006:i:2:p:379-388. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.