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Optimal Harvesting of a Spatial Renewable Resource

  • Stefan Behringer
  • Thorsten Upmann

In this paper we investigate optimal harvesting of a renewable natural resource. While in the standard approach the resource is located at a single point in space we allow for the resource to be distributed over the plane. Consequently, an agent who exploits the resource has to travel from one location to another. For a fixed planning horizon we investigate the speed and the time path of harvesting chosen by the agent. We show that the agent adjusts the speed of movement so that he accomplishes to visit each location only once, even in the absence of travelling cost. Since he does not come back to any location for a second harvest, it is optimal for him to fully deplete the resource upon arrival. A society interested in conserving some of the resource thus has to take measures suitable to limit the exploitative behaviour of the agent.

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File URL: http://www.cesifo-group.de/portal/page/portal/DocBase_Content/WP/WP-CESifo_Working_Papers/wp-cesifo-2012/wp-cesifo-2012-12/cesifo1_wp4019.pdf
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Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 4019.

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Date of creation: 2012
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Handle: RePEc:ces:ceswps:_4019
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  1. Brock, William & Xepapadeas, Anastasios, 2008. "Pattern Formation, Spatial Externalities and Regulation in Coupled Economic-Ecological Systems," MPRA Paper 9105, University Library of Munich, Germany.
  2. H. Scott Gordon, 1954. "The Economic Theory of a Common-Property Resource: The Fishery," Journal of Political Economy, University of Chicago Press, vol. 62, pages 124.
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  5. Robinson, Elizabeth J.Z. & Albers, Heidi J. & Williams, Jeffrey C., 2008. "Spatial and temporal modeling of community non-timber forest extraction," Journal of Environmental Economics and Management, Elsevier, vol. 56(3), pages 234-245, November.
  6. Natali Hritonenko & Yuri Yatsenko, 2006. "Optimization of Harvesting Return from Age-Structured Population," Journal of Bioeconomics, Springer, vol. 8(2), pages 167-179, August.
  7. William A. Brock & Anastasios Xepapadeas & Athanasios. N. Yannacopoulos, 2013. "Robust Control of a Spatially Distributed Commercial Fishery," Working Papers 2013.11, Fondazione Eni Enrico Mattei.
  8. 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.
  9. repec:cup:cbooks:9780521697675 is not listed on IDEAS
  10. Smith, Martin D. & Sanchirico, James N. & Wilen, James E., 2009. "The economics of spatial-dynamic processes: Applications to renewable resources," Journal of Environmental Economics and Management, Elsevier, vol. 57(1), pages 104-121, January.
  11. Hannesson, Rögnvaldur, 2011. "Rights based fishing on the high seas: Is it possible?," Marine Policy, Elsevier, vol. 35(5), pages 667-674, September.
  12. Robert Deacon & Charles Kolstad & Allen Kneese & David Brookshire & David Scrogin & Anthony Fisher & Michael Ward & Kerry Smith & James Wilen, 1998. "Research Trends and Opportunities in Environmental and Natural Resource Economics," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 11(3), pages 383-397, April.
  13. Esther W. Mezey & Jon M. Conrad, 2010. "Real Options in Resource Economics," Annual Review of Resource Economics, Annual Reviews, vol. 2(1), pages 33-52, October.
  14. repec:cup:cbooks:9780521874953 is not listed on IDEAS
  15. 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.
  16. Brennan, Michael J & Schwartz, Eduardo S, 1985. "Evaluating Natural Resource Investments," The Journal of Business, University of Chicago Press, vol. 58(2), pages 135-57, April.
  17. Tahvonen, Olli, 2009. "Economics of harvesting age-structured fish populations," Journal of Environmental Economics and Management, Elsevier, vol. 58(3), pages 281-299, November.
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