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Control and the management of a spreading invader

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  • Finnoff, David
  • Potapov, Alexei
  • Lewis, Mark A.
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    Abstract

    We consider the problem of management of an aquatic invader spreading in a lake system. We assume that each year the invader can be removed from a certain proportion of invaded lakes, which depends on the selected intensity of control. Control decisions are generated and compared for an optimally controlled system and for a static optimization across asymptotic steady states. Control close to eradication of the invasive species is always optimal for invasions with relatively high damages, low rates of density dependent spread and/or low chance of additional random introductions. Control to a highly invaded steady state is optimal for those invasions with low relative damages, high chances of random introduction and high levels of uncertainty in species location. In all other cases the optimal outcome depends upon initial conditions. Comparing the relative performance of the optimally controlled system and the static optimization demonstrates situations when the differences are small and when not. When invasions are acted upon in their later stages and across certain parameter combinations a static optimization provides a reasonable approximation of an optimally controlled system. The flip-side is that optimal policies directed at an invasion in its early stages tend to provide significantly savings. The savings vary across parameter combinations, yet in these situations little useful insight will be generated without consideration of a dynamically optimized system.

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    File URL: http://www.sciencedirect.com/science/article/B6VFJ-4YWXSCW-1/2/abff7d1395d1b6fafc75ee7c3ad711d0
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    Bibliographic Info

    Article provided by Elsevier in its journal Resource and Energy Economics.

    Volume (Year): 32 (2010)
    Issue (Month): 4 (November)
    Pages: 534-550

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    Handle: RePEc:eee:resene:v:32:y:2010:i:4:p:534-550

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    Web page: http://www.elsevier.com/locate/inca/505569

    Related research

    Keywords: Natural resources Biological invasions Invasive species;

    References

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    1. Tahvonen, Olli & Salo, Seppo, 1996. "Nonconvexities in Optimal Pollution Accumulation," Journal of Environmental Economics and Management, Elsevier, vol. 31(2), pages 160-177, September.
    2. Mark Eiswerth & Wayne Johnson, 2002. "Managing Nonindigenous Invasive Species: Insights from Dynamic Analysis," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 23(3), pages 319-342, November.
    3. Finnoff, David & Shogren, Jason F. & Leung, Brian & Lodge, David, 2005. "The importance of bioeconomic feedback in invasive species management," Ecological Economics, Elsevier, vol. 52(3), pages 367-381, February.
    4. Richard D. Horan & Charles Perrings & Frank Lupi & Erwin H. Bulte, 2002. "Biological Pollution Prevention Strategies under Ignorance:The Case of Invasive Species," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(5), pages 1303-1310.
    5. Brown, Cheryl & Lynch, Lori & Zilberman, David, 2000. "The Economics Of Controlling Insect-Transmitted Plant Diseases," Working Papers 28557, University of Maryland, Department of Agricultural and Resource Economics.
    6. 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.
    7. Archer, David W. & Shogren, Jason F., 1996. "Endogenous risk in weed control management," Agricultural Economics, Blackwell, vol. 14(2), pages 103-122, July.
    8. Haurie, A., 1976. "Optimal control on an infinite time horizon : The turnpike approach," Journal of Mathematical Economics, Elsevier, vol. 3(1), pages 81-102, March.
    9. Mark E. Eiswerth & G. Cornelis van Kooten, 2002. "Uncertainty, Economics, and the Spread of an Invasive Plant Species," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(5), pages 1317-1322.
    10. Richard Horan & Erwin Bulte, 2004. "Optimal and Open Access Harvesting of Multi-Use Species in a Second-Best World," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 28(3), pages 251-272, July.
    11. Settle, Chad & Crocker, Thomas D. & Shogren, Jason F., 2002. "On the joint determination of biological and economic systems," Ecological Economics, Elsevier, vol. 42(1-2), pages 301-311, August.
    12. Gutierrez, Andrew Paul & Regev, Uri, 2005. "The bioeconomics of tritrophic systems: applications to invasive species," Ecological Economics, Elsevier, vol. 52(3), pages 383-396, February.
    13. Rondeau, Daniel, 2001. "Along the Way Back from the Brink," Journal of Environmental Economics and Management, Elsevier, vol. 42(2), pages 156-182, September.
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    Cited by:
    1. Dalmazzone Silvana & Giaccaria Sergio, 2012. "Economic drivers of biological invasions: A worldwide, bio-geographical analysis," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201215, University of Turin.
    2. 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.

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