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Optimal spatial control of biological invasions

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  • Epanchin-Niell, Rebecca S.
  • Wilen, James E.

Abstract

This study examines the spatial nature of optimal bioinvasion control. We develop a spatially explicit two-dimensional model of species spread that allows for differential control across space and time, and we solve for optimal spatial–dynamic control strategies. The qualitative nature of optimal strategies depends in interesting ways on aspects of landscape and invasion geometry. For example, reducing the extent of exposed invasion edge, through spread, removal, or strategically employing landscape features, can be optimal because it reduces long-term containment costs. Optimal invasion control is spatially and temporally “forward-looking” in the sense that strategies should be targeted to slow or prevent the spread of an invasion in the direction of greatest potential long-term damages. These spatially explicit characterizations of optimal policies contribute insights and intuition to the largely nonspatial literature on controlling invasions and to understanding control of spatial–dynamic processes in general.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Environmental Economics and Management.

Volume (Year): 63 (2012)
Issue (Month): 2 ()
Pages: 260-270

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Handle: RePEc:eee:jeeman:v:63:y:2012:i:2:p:260-270

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Web page: http://www.elsevier.com/locate/inca/622870

Related research

Keywords: Invasive species; Spatial–dynamic processes; Spatial spread; Reaction–diffusion; Management; Cellular automaton; Eradication; Containment; Spatial control; Integer programming;

References

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  1. David J. Pannell, 1990. "An Economic Response Model Of Herbicide Application For Weed Control," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, Australian Agricultural and Resource Economics Society, vol. 34(3), pages 223-241, December.
  2. James E. Wilen, 2007. "Economics of Spatial-Dynamic Processes," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, Agricultural and Applied Economics Association, vol. 89(5), pages 1134-1144.
  3. Brock, William & Xepapadeas, Anastasios, 2008. "Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 32(9), pages 2745-2787, September.
  4. Sanchirico, James N. & Wilen, James E., 2005. "Optimal spatial management of renewable resources: matching policy scope to ecosystem scale," Journal of Environmental Economics and Management, Elsevier, Elsevier, vol. 50(1), pages 23-46, July.
  5. Mark Eiswerth & Wayne Johnson, 2002. "Managing Nonindigenous Invasive Species: Insights from Dynamic Analysis," Environmental & Resource Economics, European Association of Environmental and Resource Economists, European Association of Environmental and Resource Economists, vol. 23(3), pages 319-342, November.
  6. Jean-Daniel M. Saphores, 2000. "The Economic Threshold with a Stochastic Pest Population: A Real Options Approach," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, Agricultural and Applied Economics Association, vol. 82(3), pages 541-555.
  7. Costello, Christopher & Polasky, Stephen, 2008. "Optimal harvesting of stochastic spatial resources," Journal of Environmental Economics and Management, Elsevier, Elsevier, vol. 56(1), pages 1-18, July.
  8. Finnoff, David & Potapov, Alexei & Lewis, Mark A., 2010. "Control and the management of a spreading invader," Resource and Energy Economics, Elsevier, Elsevier, vol. 32(4), pages 534-550, November.
  9. Sanchirico, James N. & Wilen, James E., 1999. "Bioeconomics of Spatial Exploitation in a Patchy Environment," Journal of Environmental Economics and Management, Elsevier, Elsevier, vol. 37(2), pages 129-150, March.
  10. Olson, Lars J., 2006. "The Economics of Terrestrial Invasive Species: A Review of the Literature," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, Northeastern Agricultural and Resource Economics Association, vol. 35(1), April.
  11. James Sanchirico & Heidi Albers & Carolyn Fischer & Conrad Coleman, 2010. "Spatial Management of Invasive Species: Pathways and Policy Options," Environmental & Resource Economics, European Association of Environmental and Resource Economists, European Association of Environmental and Resource Economists, vol. 45(4), pages 517-535, April.
  12. Blackwood, Julie & Hastings, Alan & Costello, Christopher, 2010. "Cost-effective management of invasive species using linear-quadratic control," Ecological Economics, Elsevier, Elsevier, vol. 69(3), pages 519-527, January.
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Citations

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Cited by:
  1. Goodenberger, James & Klaiber, H. Allen, 2013. "Evading Invasives: How Eurasian Water-Milfoil Effects the Development of Lakefront Properties," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C., Agricultural and Applied Economics Association 150309, Agricultural and Applied Economics Association.
  2. 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, Elsevier, vol. 36(1), pages 270-289.
  3. Liu, Yanxu & Sims, Charles, 2013. "Spatial-Dynamic Externalities and Coordination in Invasive Species Control," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C., Agricultural and Applied Economics Association 151293, Agricultural and Applied Economics Association.
  4. Atallah, Shady & Gomez, Miguel & Conrad, Jon & Nyrop, Jan, 2013. "An Agent-Based Computational Bioeconomic Model of Plant Disease Diffusion and Control: Grapevine Leafroll Disease," Working Papers, Cornell University, Department of Applied Economics and Management 180085, Cornell University, Department of Applied Economics and Management.

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