Optimal Control of Locusts in Subsistence Farming Areas
AbstractLocust swarms hit subsistence-staple-crop-growing households at random and are not privately controllable. An aerial-spraying optimal control model that supports the said households’ liveli-hood at least expected cost is therefore developed. The qualitative properties of the model are analysed under economically plausible but mild assumptions. The steady state comparative stat-ics reveal that the locust swarm size and the probability of a household’s crop being destroyed by a swarm decrease with the number of households, yield per household, and the staple crop’s replacement price, and increase with the marginal cost of spraying and the planner’s discount rate. A local comparative dynamics analysis is also conducted, as it provides the necessary eco-nomic intuition behind other ostensibly anomalous steady state comparative statics results.
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Bibliographic InfoPaper provided by School of Economics, University of Wollongong, NSW, Australia in its series Economics Working Papers with number wp07-10.
Length: 27 pages
Date of creation: 2007
Date of revision:
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Postal: School of Economics, University of Wollongong, Northfields Avenue, Wollongong NSW 2522 Australia
Phone: +612 4221-3659
Fax: +612 4221-3725
Web page: http://business.uow.edu.au/econ/index.html
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Optimal control; local stability; steady state comparative statics; local comparative dynamics;
Other versions of this item:
- Levy, Amnon & Caputo, Michael R., 2008. "Optimal control of locusts in subsistence farming areas," European Journal of Operational Research, Elsevier, vol. 191(2), pages 504-516, December.
- Levy, Amnon, 2006. "Optimal Control of Locusts in Subsistence Farming Areas," Economics Working Papers wp06-10, School of Economics, University of Wollongong, NSW, Australia.
- O13 - Economic Development, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products
- O18 - Economic Development, Technological Change, and Growth - - Economic Development - - - Urban, Rural, Regional, and Transportation Analysis; Housing; Infrastructure
- O21 - Economic Development, Technological Change, and Growth - - Development Planning and Policy - - - Planning Models; Planning Policy
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- Caputo,Michael R., 2005.
"Foundations of Dynamic Economic Analysis,"
Cambridge University Press, number 9780521603683, November.
- 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.
- Cowan, Robin & Gunby, Philip, 1996. "Sprayed to Death: Path Dependence, Lock-In and Pest Control Strategies," Economic Journal, Royal Economic Society, vol. 106(436), pages 521-42, May.
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