[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v368y2018icp288-297.html
   My bibliography  Save this article

A robust optimization approach for solving problems in conservation planning

Author

Listed:
  • Haider, Zulqarnain
  • Charkhgard, Hadi
  • Kwon, Changhyun
Abstract
In conservation planning, the data related to size, growth and diffusion of populations is sparse, hard to collect and unreliable at best. If and when the data is readily available, it is not of sufficient quantity to construct a probability distribution. In such a scenario, applying deterministic or stochastic approaches to the problems in conservation planning either ignores the uncertainty completely or assumes a distribution that does not accurately describe the nature of uncertainty. To overcome these drawbacks, we propose a robust optimization approach to problems in conservation planning that considers the uncertainty in data without making any assumption about its probability distribution. We explore two of the basic formulations in conservation planning related to reserve selection and invasive species control to show the value of the proposed robust optimization. Several novel techniques are developed to compare the results produced by the proposed robust optimization approach and the existing deterministic approach. For the case when the robust optimization approach fails to find a feasible solution, a novel bi-objective optimization technique is developed to handle infeasibility by modifying the level of uncertainty. Some numerical experiments are conducted to demonstrate the efficacy of our proposed approach in finding more applicable conservation planning strategies.

Suggested Citation

  • Haider, Zulqarnain & Charkhgard, Hadi & Kwon, Changhyun, 2018. "A robust optimization approach for solving problems in conservation planning," Ecological Modelling, Elsevier, vol. 368(C), pages 288-297.
    • Handle: RePEc:eee:ecomod:v:368:y:2018:i:c:p:288-297
    DOI: 10.1016/j.ecolmodel.2017.12.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380017304933
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2017.12.006?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Billionnet, Alain, 2013. "Mathematical optimization ideas for biodiversity conservation," European Journal of Operational Research, Elsevier, vol. 231(3), pages 514-534.
    2. Memtsas, Dimitris P., 2003. "Multiobjective programming methods in the reserve selection problem," European Journal of Operational Research, Elsevier, vol. 150(3), pages 640-652, November.
    3. I Esra Buyuktahtakin & Zhuo Feng & Ferenc Szidarovszky, 2014. "A multi-objective optimization approach for invasive species control," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(11), pages 1625-1635, November.
    4. 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.
    5. 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.
    6. Mark E. Eiswerth & G. Cornelis Van Kooten, 2007. "Dynamic Programming and Learning Models for Management of a Nonnative Species," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 55(4), pages 485-498, December.
    7. Haight, Robert G. & Polasky, Stephen, 2010. "Optimal control of an invasive species with imperfect information about the level of infestation," Resource and Energy Economics, Elsevier, vol. 32(4), pages 519-533, November.
    8. Epanchin-Niell, Rebecca S. & Wilen, James E., 2012. "Optimal spatial control of biological invasions," Journal of Environmental Economics and Management, Elsevier, vol. 63(2), pages 260-270.
    9. Ana S. L. Rodrigues & Sandy J. Andelman & Mohamed I. Bakarr & Luigi Boitani & Thomas M. Brooks & Richard M. Cowling & Lincoln D. C. Fishpool & Gustavo A. B. da Fonseca & Kevin J. Gaston & Michael Hoff, 2004. "Effectiveness of the global protected area network in representing species diversity," Nature, Nature, vol. 428(6983), pages 640-643, April.
    10. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    11. Jafari, Nahid & Hearne, John, 2013. "A new method to solve the fully connected Reserve Network Design Problem," European Journal of Operational Research, Elsevier, vol. 231(1), pages 202-209.
    12. C. R. Margules & R. L. Pressey, 2000. "Systematic conservation planning," Nature, Nature, vol. 405(6783), pages 243-253, May.
    13. 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.
    14. Costello, Christopher & Polasky, Stephen, 2004. "Dynamic reserve site selection," Resource and Energy Economics, Elsevier, vol. 26(2), pages 157-174, June.
    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. Sierra-Altamiranda, Alvaro & Charkhgard, Hadi & Eaton, Mitchell & Martin, Julien & Yurek, Simeon & Udell, Bradley J., 2020. "Spatial conservation planning under uncertainty using modern portfolio theory and Nash bargaining solution," Ecological Modelling, Elsevier, vol. 423(C).
    2. 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).
    3. Phebe Vayanos & Qing Jin & George Elissaios, 2022. "ROC++: Robust Optimization in C++," INFORMS Journal on Computing, INFORMS, vol. 34(6), pages 2873-2888, November.

    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. Billionnet, Alain, 2013. "Mathematical optimization ideas for biodiversity conservation," European Journal of Operational Research, Elsevier, vol. 231(3), pages 514-534.
    2. 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.
    3. 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).
    4. İ. Esra Büyüktahtakın & Robert G. Haight, 2018. "A review of operations research models in invasive species management: state of the art, challenges, and future directions," Annals of Operations Research, Springer, vol. 271(2), pages 357-403, December.
    5. 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.
    6. 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.
    7. 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.
    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.
    9. 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.
    10. Onal, Hayri & Yanprechaset, Pornchanok, 2007. "Site accessibility and prioritization of nature reserves," Ecological Economics, Elsevier, vol. 60(4), pages 763-773, February.
    11. Kıbış, Eyyüb Y. & Büyüktahtakın, İ. Esra, 2017. "Optimizing invasive species management: A mixed-integer linear programming approach," European Journal of Operational Research, Elsevier, vol. 259(1), pages 308-321.
    12. Onal, Sevilay & Akhundov, Najmaddin & Büyüktahtakın, İ. Esra & Smith, Jennifer & Houseman, Gregory R., 2020. "An integrated simulation-optimization framework to optimize search and treatment path for controlling a biological invader," International Journal of Production Economics, Elsevier, vol. 222(C).
    13. Eyyüb Y. Kıbış & İ. Esra Büyüktahtakın & Robert G. Haight & Najmaddin Akhundov & Kathleen Knight & Charles E. Flower, 2021. "A Multistage Stochastic Programming Approach to the Optimal Surveillance and Control of the Emerald Ash Borer in Cities," INFORMS Journal on Computing, INFORMS, vol. 33(2), pages 808-834, May.
    14. Álvarez-Miranda, Eduardo & Salgado-Rojas, José & Hermoso, Virgilio & Garcia-Gonzalo, Jordi & Weintraub, Andrés, 2020. "An integer programming method for the design of multi-criteria multi-action conservation plans," Omega, Elsevier, vol. 92(C).
    15. Wang, Haoluan, 2017. "Land Conservation for Open Space: The Impact of Neighbors and the Natural Environment," 2017 Annual Meeting, July 30-August 1, Chicago, Illinois 258125, Agricultural and Applied Economics Association.
    16. Salgado-Rojas, José & Álvarez-Miranda, Eduardo & Hermoso, Virgilio & Garcia-Gonzalo, Jordi & Weintraub, Andrés, 2020. "A mixed integer programming approach for multi-action planning for threat management," Ecological Modelling, Elsevier, vol. 418(C).
    17. Eppink, Florian V. & van den Bergh, Jeroen C.J.M., 2007. "Ecological theories and indicators in economic models of biodiversity loss and conservation: A critical review," Ecological Economics, Elsevier, vol. 61(2-3), pages 284-293, March.
    18. Marshalek, Elaina C. & Ramage, Benjamin S. & Potts, Matthew D., 2014. "Integrating harvest scheduling and reserve design to improve biodiversity conservation," Ecological Modelling, Elsevier, vol. 287(C), pages 27-35.
    19. Lewis, David J. & Plantinga, Andrew J. & Nelson, Erik & Polasky, Stephen, 2011. "The efficiency of voluntary incentive policies for preventing biodiversity loss," Resource and Energy Economics, Elsevier, vol. 33(1), pages 192-211, January.
    20. Yun, Seong Do & Gramig, Benjamin M., 2014. "Dynamic Optimization of Ecosystem Services: A Comparative Analysis of Non-Spatial and Spatially-Explicit Models," 2014 Annual Meeting, July 27-29, 2014, Minneapolis, Minnesota 170450, Agricultural and Applied Economics Association.

    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:eee:ecomod:v:368:y:2018:i:c:p:288-297. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/ecological-modelling .

    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.