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Harvesting and recovery decisions under uncertainty

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  • Shackleton, Mark B.
  • Sødal, Sigbjørn

Abstract

A stochastic forest rotation model in the Faustmann tradition is presented and exemplified. The model combines harvesting decisions with the potential to recover or clean up to restore the land after very unfavorable evolutions of the stochastic growth process. Uncertainty is shown to have a generally ambiguous effect on the optimal choice of investment strategy. It is also shown how such models can be related to theory of optimal inventory control.

Suggested Citation

  • Shackleton, Mark B. & Sødal, Sigbjørn, 2010. "Harvesting and recovery decisions under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 34(12), pages 2533-2546, December.
    • Handle: RePEc:eee:dyncon:v:34:y:2010:i:12:p:2533-2546
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    1. Michael Spence, 1976. "Product Selection, Fixed Costs, and Monopolistic Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(2), pages 217-235.
    2. Alvarez, Luis H R & Koskela, Erkki, 2003. "On Forest Rotation under Interest Rate Variability," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 10(4), pages 489-503, August.
    3. Shackleton, Mark B. & Sodal, Sigbjorn, 2005. "Smooth pasting as rate of return equalization," Economics Letters, Elsevier, vol. 89(2), pages 200-206, November.
    4. Willassen, Yngve, 1998. "The stochastic rotation problem: A generalization of Faustmann's formula to stochastic forest growth," Journal of Economic Dynamics and Control, Elsevier, vol. 22(4), pages 573-596, April.
    5. Bar-Ilan, Avner & Strange, William C, 1996. "Investment Lags," American Economic Review, American Economic Association, vol. 86(3), pages 610-622, June.
    6. Newman, D.H., 2002. "Forestry's golden rule and the development of the optimal forest rotation literature," Journal of Forest Economics, Elsevier, vol. 8(1), pages 5-27.
    7. Saphores, Jean-Daniel, 2003. "Harvesting a renewable resource under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 28(3), pages 509-529, December.
    8. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    9. Margaret Insley & Kimberly Rollins, 2005. "On Solving the Multirotational Timber Harvesting Problem with Stochastic Prices: A Linear Complementarity Formulation," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(3), pages 735-755.
    10. Luis H. R. Alvarez, 2001. "Reward functionals, salvage values, and optimal stopping," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 54(2), pages 315-337, December.
    11. Dixit, Avinash & Pindyck, Robert S & Sodal, Sigbjorn, 1999. "A Markup Interpretation of Optimal Investment Rules," Economic Journal, Royal Economic Society, vol. 109(455), pages 179-189, April.
    12. Chang, Fwu-Ranq, 2005. "On the elasticities of harvesting rules," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 469-485, March.
    13. Sodal, Sigbjorn, 2006. "Entry and exit decisions based on a discount factor approach," Journal of Economic Dynamics and Control, Elsevier, vol. 30(11), pages 1963-1986, November.
    14. George M. Constantinides & Scott F. Richard, 1978. "Existence of Optimal Simple Policies for Discounted-Cost Inventory and Cash Management in Continuous Time," Operations Research, INFORMS, vol. 26(4), pages 620-636, August.
    15. Luis Alvarez & Jukka Virtanen, 2006. "A class of solvable stochastic dividend optimization problems: on the general impact of flexibility on valuation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 373-398, June.
    16. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    17. Rosen, Sherwin, 1974. "Hedonic Prices and Implicit Markets: Product Differentiation in Pure Competition," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 34-55, Jan.-Feb..
    18. Robert McDonald & Daniel Siegel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 707-727.
    19. Dixit, Avinash, 1991. "A simplified treatment of the theory of optimal regulation of Brownian motion," Journal of Economic Dynamics and Control, Elsevier, vol. 15(4), pages 657-673, October.
    20. Dayanik, Savas & Karatzas, Ioannis, 2003. "On the optimal stopping problem for one-dimensional diffusions," Stochastic Processes and their Applications, Elsevier, vol. 107(2), pages 173-212, October.
    21. Lancaster, Kelvin, 1975. "Socially Optimal Product Differentiation," American Economic Review, American Economic Association, vol. 65(4), pages 567-585, September.
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    3. Christensen, Sören & Sohr, Tobias, 2020. "A solution technique for Lévy driven long term average impulse control problems," Stochastic Processes and their Applications, Elsevier, vol. 130(12), pages 7303-7337.

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