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Cost-effective management of invasive species using linear-quadratic control

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  • Blackwood, Julie
  • Hastings, Alan
  • Costello, Christopher

Abstract

The removal of invasive species is the first step toward restoring an ecosystem following invasion. We develop spatially-explicit, dynamic optimal control strategies for a large class of invasion problems using linear-quadratic control. This approach allows us to produce new insights that help guide policy that could not have emerged from existing models. We assume adults are sedentary, and heterogeneous patches are connected via dispersal of offspring. We develop a generalized approach to optimally manage species across time and space and apply the framework to several examples, primarily based on Spartina alterniflora. General conclusions are drawn and we show that strong connectivity makes invasive control much more costly, demonstrating that reducing connectivity can be a cost-effective part of invasive species control.

Suggested Citation

  • Blackwood, Julie & Hastings, Alan & Costello, Christopher, 2010. "Cost-effective management of invasive species using linear-quadratic control," Ecological Economics, Elsevier, vol. 69(3), pages 519-527, January.
    • Handle: RePEc:eee:ecolec:v:69:y:2010:i:3:p:519-527
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    1. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
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    3. 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.
    4. Bhat, Mahadev G. & Huffaker, Ray G., 2007. "Management of a transboundary wildlife population: A self-enforcing cooperative agreement with renegotiation and variable transfer payments," Journal of Environmental Economics and Management, Elsevier, vol. 53(1), pages 54-67, January.
    5. Costello, Christopher & Polasky, Stephen, 2008. "Optimal harvesting of stochastic spatial resources," Journal of Environmental Economics and Management, Elsevier, vol. 56(1), pages 1-18, July.
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    1. 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.
    2. 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.
    3. 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.
    4. Homans, Frances & Horie, Tetsuya, 2011. "Optimal detection strategies for an established invasive pest," Ecological Economics, Elsevier, vol. 70(6), pages 1129-1138, April.
    5. Edholm, Christina J. & Tenhumberg, Brigitte & Guiver, Chris & Jin, Yu & Townley, Stuart & Rebarber, Richard, 2018. "Management of invasive insect species using optimal control theory," Ecological Modelling, Elsevier, vol. 381(C), pages 36-45.
    6. Costello, Christopher & Quérou, Nicolas & Tomini, Agnes, 2017. "Private eradication of mobile public bads," European Economic Review, Elsevier, vol. 94(C), pages 23-44.
    7. 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.
    8. David M. Kling & James N. Sanchirico & James E. Wilen, 2016. "Bioeconomics of Managed Relocation," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 3(4), pages 1023-1059.
    9. Seth M Harju & Chad V Olson & Matthew R Dzialak & James P Mudd & Jeff B Winstead, 2013. "A Flexible Approach for Assessing Functional Landscape Connectivity, with Application to Greater Sage-Grouse (Centrocercus urophasianus)," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-11, December.
    10. Upmann, Thorsten & Uecker, Hannes & Hammann, Liv & Blasius, Bernd, 2021. "Optimal stock–enhancement of a spatially distributed renewable resource," Journal of Economic Dynamics and Control, Elsevier, vol. 123(C).
    11. 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.
    12. Tsao, Shu-Chen & Costello, Christopher, 2024. "The shadow cost of mobile public bads," Journal of Environmental Economics and Management, Elsevier, vol. 127(C).
    13. Bonneau, Mathieu & Martin, Julien & Peyrard, Nathalie & Rodgers, Leroy & Romagosa, Christina M. & Johnson, Fred A., 2019. "Optimal spatial allocation of control effort to manage invasives in the face of imperfect detection and misclassification," Ecological Modelling, Elsevier, vol. 392(C), pages 108-116.

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