IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v316y2015icp176-184.html
   My bibliography  Save this article

Invasive species control in a one-dimensional metapopulation network

Author

Listed:
  • Walker, Adam N.
  • Poos, Jan-Jaap
  • Groeneveld, Rolf A.

Abstract

The growth and spread of established Invasive Alien Species (IAS) cause significant ecological and economic damages. Minimising the costs of controlling, and the damages from, IAS depends on the spatial dynamics and uncertainty regarding IAS spread. This study expands on existing modelling approaches by allowing for varying stock sizes within patches and stochastic spread between patches. The objective of this study is to demonstrate the added value from this more detailed modelling approach. This is achieved in the context of coastal and riparian systems, which can be accurately modelled one-dimensional landscape, i.e., a series of patches connected in a line. The model allows for two types of intervention, namely (1) partial or complete removal of the population in within any patch; and (2) containment to reduce spread between patches. We analyse the general properties of the model using a two-patch setup to determine how the optimal policy depends on both the location and size of the invasion in patches. We find that allowing for varying stock sizes within patches facilitates optimal timing of the application of containment. We also identify two novel optimal policies: the combination of containment and removal to stop spread between patches and the application of up to four distinct policies for a single patch depending on the size of the invasion in that patch.

Suggested Citation

  • Walker, Adam N. & Poos, Jan-Jaap & Groeneveld, Rolf A., 2015. "Invasive species control in a one-dimensional metapopulation network," Ecological Modelling, Elsevier, vol. 316(C), pages 176-184.
    • Handle: RePEc:eee:ecomod:v:316:y:2015:i:c:p:176-184
    DOI: 10.1016/j.ecolmodel.2015.08.015
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380015003786
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2015.08.015?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. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    2. Albers, Heidi J. & Fischer, Carolyn & Sanchirico, James N., 2010. "Invasive species management in a spatially heterogeneous world: Effects of uniform policies," Resource and Energy Economics, Elsevier, vol. 32(4), pages 483-499, November.
    3. Buhle, Eric R. & Margolis, Michael & Ruesink, Jennifer L., 2005. "Bang for buck: cost-effective control of invasive species with different life histories," Ecological Economics, Elsevier, vol. 52(3), pages 355-366, February.
    4. James Sanchirico & Heidi Albers & Carolyn Fischer & Conrad Coleman, 2010. "Spatial Management of Invasive Species: Pathways and Policy Options," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 45(4), pages 517-535, April.
    5. Carrasco, L.R. & Mumford, J.D. & MacLeod, A. & Knight, J.D. & Baker, R.H.A., 2010. "Comprehensive bioeconomic modelling of multiple harmful non-indigenous species," Ecological Economics, Elsevier, vol. 69(6), pages 1303-1312, April.
    6. Finnoff, David & Potapov, Alexei & Lewis, Mark A., 2010. "Control and the management of a spreading invader," Resource and Energy Economics, Elsevier, vol. 32(4), pages 534-550, November.
    7. Frésard, Marjolaine & Boncoeur, Jean, 2006. "Controlling the Biological Invasion of a Commercial Fishery by a Space Competitor: A Bioeconomic Model with Reference to the Bay of St-Brieuc Scallop Fishery," Agricultural and Resource Economics Review, Cambridge University Press, vol. 35(1), pages 78-97, April.
    8. Mehta, Shefali V. & Haight, Robert G. & Homans, Frances R. & Polasky, Stephen & Venette, Robert C., 2007. "Optimal detection and control strategies for invasive species management," Ecological Economics, Elsevier, vol. 61(2-3), pages 237-245, March.
    9. Zhang, Wei & van der Werf, Wopke & Swinton, Scott M., 2010. "Spatially optimal habitat management for enhancing natural control of an invasive agricultural pest: Soybean aphid," Resource and Energy Economics, Elsevier, vol. 32(4), pages 551-565, November.
    10. Pimentel, David & Zuniga, Rodolfo & Morrison, Doug, 2005. "Update on the environmental and economic costs associated with alien-invasive species in the United States," Ecological Economics, Elsevier, vol. 52(3), pages 273-288, February.
    11. Eli Fenichel & Timothy Richards & David Shanafelt, 2014. "The Control of Invasive Species on Private Property with Neighbor-to-Neighbor Spillovers," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 59(2), pages 231-255, October.
    12. Fresard, Marjolaine & Boncoeur, Jean, 2006. "Controlling the Biological Invasion of a Commercial Fishery by a Space Competitor: A Bioeconomic Model with Reference to the Bay of St-Brieuc Scallop Fishery," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 35(1), pages 1-20, April.
    13. Carrasco, L. Roman & Cook, David & Baker, Richard & MacLeod, Alan & Knight, Jon D. & Mumford, John D., 2012. "Towards the integration of spread and economic impacts of biological invasions in a landscape of learning and imitating agents," Ecological Economics, Elsevier, vol. 76(C), pages 95-103.
    14. Lars J. Olson & Santanu Roy, 2002. "The Economics of Controlling a Stochastic Biological Invasion," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(5), pages 1311-1316.
    15. Kovacs, Kent F. & Haight, Robert G. & Mercader, Rodrigo J. & McCullough, Deborah G., 2014. "A bioeconomic analysis of an emerald ash borer invasion of an urban forest with multiple jurisdictions," Resource and Energy Economics, Elsevier, vol. 36(1), pages 270-289.
    16. Burnett, Kimberly M. & Kaiser, Brooks A. & Roumasset, James A., 2007. "Invasive Species Control over Space and Time: Miconia calvescens on Oahu, Hawaii," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 39(s1), pages 125-132, October.
    17. Martial L Ndeffo Mbah & Christopher A Gilligan, 2011. "Resource Allocation for Epidemic Control in Metapopulations," PLOS ONE, Public Library of Science, vol. 6(9), pages 1-10, September.
    18. Savage, David & Renton, Michael, 2014. "Requirements, design and implementation of a general model of biological invasion," Ecological Modelling, Elsevier, vol. 272(C), pages 394-409.
    19. Krug, Rainer M. & Richardson, David M., 2014. "Modelling the effect of two biocontrol agents on the invasive alien tree Acacia cyclops—Flowering, seed production and agent survival," Ecological Modelling, Elsevier, vol. 278(C), pages 100-113.
    20. 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.
    21. Sadeghi, Roghayeh & Zarkami, Rahmat & Van Damme, Patrick, 2014. "Modelling habitat preference of an alien aquatic fern, Azolla filiculoides (Lam.), in Anzali wetland (Iran) using data-driven methods," Ecological Modelling, Elsevier, vol. 284(C), pages 1-9.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. Jardine, Sunny L. & Sanchirico, James N., 2018. "Estimating the cost of invasive species control," Journal of Environmental Economics and Management, Elsevier, vol. 87(C), pages 242-257.
    3. Haden Chomphosy, William & Manning, Dale T. & Shwiff, Stephanie & Weiler, Stephan, 2023. "Optimal R&D investment in the management of invasive species," Ecological Economics, Elsevier, vol. 211(C).
    4. Kim Meyer Hall & Heidi J. Albers & Majid Alkaee Taleghan & Thomas G. Dietterich, 2018. "Optimal Spatial-Dynamic Management of Stochastic Species Invasions," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 70(2), pages 403-427, June.
    5. Costello, Christopher & Quérou, Nicolas & Tomini, Agnes, 2017. "Private eradication of mobile public bads," European Economic Review, Elsevier, vol. 94(C), pages 23-44.
    6. 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.
    7. 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).
    8. Shady S. Atallah & Miguel I. Gómez & Jon M. Conrad, 2017. "Specification of Spatial-Dynamic Externalities and Implications for Strategic Behavior in Disease Control," Land Economics, University of Wisconsin Press, vol. 93(2), pages 209-229.
    9. Sims, Charles & Finnoff, David, 2013. "When is a “wait and see” approach to invasive species justified?," Resource and Energy Economics, Elsevier, vol. 35(3), pages 235-255.
    10. Courtois, Pierre & Figuieres, Charles & Mulier, Chloe & Weill, Joakim, 2018. "A Cost–Benefit Approach for Prioritizing Invasive Species," Ecological Economics, Elsevier, vol. 146(C), pages 607-620.
    11. Kompas, Tom & Chu, Long & Nguyen, Hoa Thi Minh, 2016. "A practical optimal surveillance policy for invasive weeds: An application to Hawkweed in Australia," Ecological Economics, Elsevier, vol. 130(C), pages 156-165.
    12. Dalmazzone, Silvana & Giaccaria, Sergio, 2014. "Economic drivers of biological invasions: A worldwide, bio-geographic analysis," Ecological Economics, Elsevier, vol. 105(C), pages 154-165.
    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. Charles Sims & David Finnoff & Jason F. Shogren, 2018. "Taking One for the Team: Is Collective Action More Responsive to Ecological Change?," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 70(3), pages 589-615, July.
    15. Albers, Heidi J. & Hall, Kim Meyer & Lee, Katherine D. & Taleghan, Majid Alkaee & Dietterich, Thomas G., 2018. "The Role of Restoration and Key Ecological Invasion Mechanisms in Optimal Spatial-Dynamic Management of Invasive Species," Ecological Economics, Elsevier, vol. 151(C), pages 44-54.
    16. Atallah, Shadi S., 2017. "The bio-economics of managing invasive plant externalities in forests with heterogeneous landowner preferences," 2017 Annual Meeting, July 30-August 1, Chicago, Illinois 258540, Agricultural and Applied Economics Association.
    17. Liu, Yanxu & Sims, Charles, 2016. "Spatial-dynamic externalities and coordination in invasive species control," Resource and Energy Economics, Elsevier, vol. 44(C), pages 23-38.
    18. Martin Drechsler & Julia Touza & Piran White & Glyn Jones, 2016. "Agricultural landscape structure and invasive species: the cost-effective level of crop field clustering," Food Security: The Science, Sociology and Economics of Food Production and Access to Food, Springer;The International Society for Plant Pathology, vol. 8(1), pages 111-121, February.
    19. 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.
    20. Carrasco, L. Roman & Cook, David & Baker, Richard & MacLeod, Alan & Knight, Jon D. & Mumford, John D., 2012. "Towards the integration of spread and economic impacts of biological invasions in a landscape of learning and imitating agents," Ecological Economics, Elsevier, vol. 76(C), pages 95-103.

    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:316:y:2015:i:c:p:176-184. 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.