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Modeling optimal pine stands harvest under stochastic wood stock and price in Chile

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  • Navarrete, Eduardo

Abstract

The single and multiple optimal rotation harvesting pine stands models under Logistic wood stock and Brown price stochastic diffusion processes are reformulated as optimal stopping problems with one dimensional stochastic diffusion solvable with the Hamilton–Jacobi–Bellman equations.

Suggested Citation

  • Navarrete, Eduardo, 2012. "Modeling optimal pine stands harvest under stochastic wood stock and price in Chile," Forest Policy and Economics, Elsevier, vol. 15(C), pages 54-59.
    • Handle: RePEc:eee:forpol:v:15:y:2012:i:c:p:54-59
    DOI: 10.1016/j.forpol.2011.09.005
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    References listed on IDEAS

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    1. Insley, Margaret, 2002. "A Real Options Approach to the Valuation of a Forestry Investment," Journal of Environmental Economics and Management, Elsevier, vol. 44(3), pages 471-492, November.
    2. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    3. Fisher, Irving, 1907. "The Rate of Interest," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number fisher1907.
    4. Clarke, Harry R. & Reed, William J., 1989. "The tree-cutting problem in a stochastic environment : The case of age-dependent growth," Journal of Economic Dynamics and Control, Elsevier, vol. 13(4), pages 569-595, October.
    5. Robert C. Merton, 1975. "An Asymptotic Theory of Growth Under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(3), pages 375-393.
    6. Morck, Randall & Schwartz, Eduardo & Stangeland, David, 1989. "The Valuation of Forestry Resources under Stochastic Prices and Inventories," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(4), pages 473-487, December.
    7. Samuelson, Paul A, 1976. "Economics of Forestry in an Evolving Society," Economic Inquiry, Western Economic Association International, vol. 14(4), pages 466-492, December.
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    Cited by:

    1. Rakotoarison, Hanitra & Loisel, Patrice, 2016. "The Faustmann model under storm risk and price uncertainty: A case study of European beech in Northwestern France," MPRA Paper 85114, University Library of Munich, Germany.

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    More about this item

    Keywords

    Optimal tree cutting; Logistical diffusion; Real options; Operation research;
    All these keywords.

    JEL classification:

    • Q23 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Forestry
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory

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