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Optimal Stochastic Pine Stands Harvest Rotation Policies

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DOI: 10.4236/ojf.2015.56053    4,425 Downloads   4,831 Views  

ABSTRACT

A new Faustmann optimal rotation harvesting stands’ problem under Brown geometric price and Logistic and Gompertz wood stock, diffusions is presented. The optimal cut policies for the stochastic Faustmann model and the single harvest rotation or Vicksell model are evaluated in the case of a Chilean Radiata pine forest company. The company cut policy validates the Vicksell model, its optimal cut policies overestimate the company policy cut in 1.2%, in the Gompertz case, and underestimate it in 2.3%, in the Logistic case. The Faustmann optimal cut policies present a larger underestimation of the company cut policy in 10.1%, in the Gompertz case, and in 21.5%, in the Logistic case. The preference for shorter evaluation period that the company shows is due to the organizational risk that the forest economic sectors has in Chile.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Navarrete, E. (2015) Optimal Stochastic Pine Stands Harvest Rotation Policies. Open Journal of Forestry, 5, 593-606. doi: 10.4236/ojf.2015.56053.

References

[1] Alvarez, L. R., & Koskela, E. (2007). Optimal Harvesting under Resource Stock and Price Uncertainty. Journal of Economic Dynamics and Control, 31, 2461-2485.
[2] Amacher, G. S., Brazee, R. J., & Deegan, P. (2011). Faustmann Continues to Yield. Journal of Forest Economics, 17, 231-234. http://dx.doi.org/10.1016/j.jfe.2011.06.001
[3] Brazee, R.J. (2001). The Faustmann Formula. Forest Science, 47, 44-49.
[4] Beskos, A., Papaspliopoulos, O., Roberts, G., & Fearnhead, P. (2006). Exact and Computationally Efficient Likelihood-Based Estimation for Discretely Observed Diffusion Processes (with Discussion). Journal of the Royal Statistical Society: Series B (Statistical Methodology), 68, 333-382.
[5] Chang, S. J. (2001). One Formula Myriad Conclusions, 150 Years of Practicing the Faustmann Formula in Central Europe and the USA. Forest Policy and Economics, 2, 97-99.
http://dx.doi.org/10.1016/S1389-9341(01)00053-3
[6] Clarke, H. R., & Reed, W. J. (1989). The Tree Cutting Problem in a Stochastic Environment. Journal of Economics Dynamic and Control, 13, 569-595. http://dx.doi.org/10.1016/0165-1889(89)90004-3
[7] Faustmann, M. (1995). (Originally 1849). Calculation of the Value which Forest Land and Immature Stands Processess for Forestry. Journal of Forest Economics, 1, 7-44.
[8] Garcia, O. (2005). Unifying Sigmoid Univariate Growth Equations. Forest Biometry, Modelling and Information Sciences (FBMIS), 1, 63-68.
[9] Gaffney, M. M. (1957). Concepts of Financial Maturity of Timber and Other Assets. Agricultural Economics Information Series. Raleigth, NC: North Caroline State College.
[10] Gutierrez, R., Gutierrez-Sanchez, R., & Nafidi, A. (2008). Modelling and Forecasting Vehicle Stocks Using Trends of Stochastic Gompertz Diffusion Models. Applied Stochastic Models in Business and Industry, 25, 385-405.
[11] Insley, M. (2002). A Real Option Approach to the Valuation of a Forestry on Investment. Journal of Environmental Economics and Management, 44, 471-492.
[12] Insley, M., & Rollins, K. (2005). On Solving the Multi-Rotational Timber Harvesting Problem with Stochastic Prices: A Linear Complimentarily Formulation. American Journal of Agriculture Economics, 87, 735-755. http://dx.doi.org/10.1111/j.1467-8276.2005.00759.x
[13] Johnson, T. C. (2006). The Optimal Timing of Investment Decisions. PhD Thesis, London: University of London.
[14] Kloeden, P., & Platen, E. (1992). Numerical Solution of Stochastic Differential Equation (p. 125). Berlin: Springer-Verlag. http://dx.doi.org/10.1007/978-3-662-12616-5
[15] Meyer, P., Yung, J., & Ausubel, J. (1999). A Primer on Logistic Growth and Substitution: The Mathematics of the Logolet Lab Software. Technological Foresting and Social Change.
[16] MININCO (2006). Santibáñez P. Los Angeles.
[17] Morck, R., & Schwartz, E. (1989). The Valuation of Forestry Resources under Stochastic Prices and Inventories. Journal of Financial and Quantitative Analysis, 24, 473-487.
http://dx.doi.org/10.2307/2330980
[18] Navarrete, E. (2011). Modelling Optimal Pine Stands Harvest under Stochastic Wood Stock and Price in Chile. Forest Policy and Economics, 15, 54-59.
[19] Navarrete, E., & Bustos, J. (2013). Faustmann Optimal Pine Stands Stochastic Rotation Problem. Forest Policy and Economics, 30, 39-45. http://dx.doi.org/10.1016/j.forpol.2013.02.007
[20] Samuelson, P. (1976). Economics of Forestry in an Evolving Economy. Economic Inquiry, 14, 466-491.
http://dx.doi.org/10.1111/j.1465-7295.1976.tb00437.x
[21] Sodal, S. (2002). The Stochastic Rotation Problem: A Comment. Journal of Economics & Control, 26, 509-515. http://dx.doi.org/10.1016/S0165-1889(00)00076-2
[22] Thijssen, J. J. J. (2010). Irreversible Investment and Discounting: An Arbitrage Pricing Approach. Annals of Finance, 6, 295-315. http://dx.doi.org/10.1007/s10436-008-0108-4
[23] Willassen, Y. (1998). The Stochastic Rotation Problem: A Generalization of Faustmann’s Formula to a Stochastic Forest Growth. Journal of Economic Dynamics and Control, 22, 573-596.
http://dx.doi.org/10.1016/S0165-1889(97)00071-7

  
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