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The optimal selective logging regime and the Faustmann formula

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  • Xabadia, Angels
  • Goetz, Renan U.

Abstract

This study analyzes the optimal selective logging regime of a size-distributed forest where individual trees compete for scarce resources such as space, light, and nutrients. The decision problem of the forest manager is formulated as a distributed optimal control problem. The interpretation of the first-order conditions allows a generalization of the Faustmann formula. In an empirical part, this article numerically determines the optimal management regime of a size-structured forest and shows that the optimal selective logging regime is associated with a normal forest under a wider variety of situations than stated in the previous literature.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Forest Economics.

Volume (Year): 16 (2010)
Issue (Month): 1 (January)
Pages: 63-82

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Handle: RePEc:eee:foreco:v:16:y:2010:i:1:p:63-82

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Related research

Keywords: Distributed optimal control Density effects Forest management Faustmann rule Selective logging;

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References

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  1. Ching-Rong Lin & Joseph Buongiorno, 1998. "Tree Diversity, Landscape Diversity, and Economics of Maple-Birch Forests: Implications of Markovian Models," Management Science, INFORMS, vol. 44(10), pages 1351-1366, October.
  2. Olli Tahvonen, 2004. "Optimal Harvesting Of Forest Age Classes: A Survey Of Some Recent Results," Mathematical Population Studies, Taylor & Francis Journals, vol. 11(3-4), pages 205-232.
  3. Gustav Feichtinger & Alexia Prskawetz & Vladimir M. Veliov, 2002. "Age-structured optimal control in population economics," MPIDR Working Papers WP-2002-045, Max Planck Institute for Demographic Research, Rostock, Germany.
  4. Wan, Henry, Jr, 1994. "Revisiting the Mitra-Wan Tree Farm," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(1), pages 193-98, February.
  5. Salo, Seppo & Tahvonen, Olli, 2002. "On Equilibrium Cycles and Normal Forests in Optimal Harvesting of Tree Vintages," Journal of Environmental Economics and Management, Elsevier, vol. 44(1), pages 1-22, July.
  6. Mitra, Tapan & Wan, Henry Jr., 1986. "On the faustmann solution to the forest management problem," Journal of Economic Theory, Elsevier, vol. 40(2), pages 229-249, December.
  7. Jussi Uusivuori & Jari Kuuluvainen, 2005. "The Harvesting Decisions When a Standing Forest with Multiple Age-Classes Has Value," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(1), pages 61-76.
  8. Scarpa, Riccardo & Hutchinson, W. George & Chilton, Susan M. & Buongiorno, Joseph, 2000. "Importance of forest attributes in the willingness to pay for recreation: a contingent valuation study of Irish forests," Forest Policy and Economics, Elsevier, vol. 1(3-4), pages 315-329, December.
  9. Mitra, Tapan & Wan, Henry Y, Jr, 1985. "Some Theoretical Results on the Economics of Forestry," Review of Economic Studies, Wiley Blackwell, vol. 52(2), pages 263-82, April.
  10. Salo, Seppo & Tahvonen, Olli, 2003. "On the economics of forest vintages," Journal of Economic Dynamics and Control, Elsevier, vol. 27(8), pages 1411-1435, June.
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Cited by:
  1. Renan Ulrich Goetz & Natali Hritonenko & Ruben Mur & Àngels Xabadia & Yuri Yatsenko, 2008. "Climate Change and the Cost of Carbon Sequestration: The Case of Forest Management," Working Papers 329, Barcelona Graduate School of Economics.
  2. Patrice Loisel, 2011. "Faustmann Rotation and population dynamics in the presence of a risk of destructive events," Post-Print hal-00787320, HAL.
  3. Yu, Jinna & Yao, Shunbo & Zhang, Bisheng, 2014. "Designing afforestation subsidies that account for the benefits of carbon sequestration: A case study using data from China's Loess Plateau," Journal of Forest Economics, Elsevier, vol. 20(1), pages 65-76.
  4. Terry Heaps, 2014. "Convergence of Optimal Harvesting Policies to a Normal Forest," Discussion Papers dp14-01, Department of Economics, Simon Fraser University.
  5. Florian Diekert, 2012. "Growth Overfishing: The Race to Fish Extends to the Dimension of Size," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 52(4), pages 549-572, August.

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