Optimal spatial control of biological invasions
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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- 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, vol. 50(1), pages 23-46, July.
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- 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, vol. 82(3), pages 541-555.
- 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, vol. 45(4), pages 517-535, April.
- 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.
- 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.
- 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, vol. 35(1), April.
- 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.
- Brock, William & Xepapadeas, Anastasios, 2008. "Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 2745-2787, September.
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