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The Effect of Fire Risk on the Critical Harvesting Times for Pacific Northwest Douglas-Fir When Carbon Price Is Stochastic

Published online by Cambridge University Press:  15 September 2016

Selmin F. Creamer ,
Alan Genz  and
Keith A. Blatner
Selmin F. Creamer
Affiliation:
Human Dimensions Research Unit at Cornell University in Ithaca, New York
Alan Genz
Affiliation:
Department of Mathematics and the Department of Natural Resource Sciences, respectively, at Washington State University in Pullman, Washington
Keith A. Blatner
Affiliation:
Department of Mathematics and the Department of Natural Resource Sciences, respectively, at Washington State University in Pullman, Washington
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Abstract

The forest owner's decision regarding when to harvest, based on forest's current worth, is analyzed using the real options approach for a representative Pacific Northwest Douglas-fir stand when the carbon price is stochastic and there is a fire risk. The problem is framed as a linear complementarity problem and solved using the fully implicit finite difference method combined with a penalty method. The fire risk results in lower option values and earlier critical harvesting times, whereas a wider carbon price range ($0–$100 versus $0–$10) produces contrary results and more responsiveness to the parameter changes.

Keywords

Chicago Climate Exchange Sustainably Managed Forest Projectcarbon financial instrumentgeometric mean-reverting process
Type
Contributed Papers
Information
Agricultural and Resource Economics Review , Volume 41 , Issue 3 , December 2012 , pp. 313 - 326
Copyright
Copyright © 2012 Northeastern Agricultural and Resource Economics Association 

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References

Alvarez, L., and Koskela, E. 2003. “On Forest Rotation under Interest Rate Variability.” International Tax and Public Finance 10(4): 489–503.Google Scholar
Amacher, G.S., Ollikainen, M., and Koskela, E. 2009. Economics of Forest Resources. Cambridge, MA: MIT Press.Google Scholar
Birdsey, R.A. 1992. “Carbon Storage and Accumulation in United States Forest Ecosystems.” General Technical Report No. WO-59. Forest Service, U.S. Department of Agriculture, Washington, D.C.Google Scholar
Brazee, R.J., and Mendelsohn, R. 1988. “Timber Harvesting with Fluctuating Prices.” Forest Science 34(2): 359–372.Google Scholar
Chicago Climate Exchange, Inc. 2009. “Forestry Carbon Sequestration Project Protocol (FCSPP).” Available online at https://www.theice.com/publicdocs/ccx/protocols/CCX_Protocol_Forestry_Sequestration.pdf (accessed May 2012).Google Scholar
Chladná, Z. 2007. “Determination of Optimal Rotation Period under Stochastic Wood and Carbon Prices.” Forest Policy Economics 9(8): 1031–1045.Google Scholar
Clarke, H.R., and Reed, W.J. 1989. “The Tree-Cutting Problem in a Stochastic Environment.” Journal of Economic Dynamics and Control 13(4): 569–595.Google Scholar
Conrad, J.M. 1997. “On the Option Value of Old-Growth Forest.” Ecological Economics 22(2): 97–102.Google Scholar
Daigneault, A.J., Sohngen, B., and Miranda, M. 2010. “Optimal Forest Management with Carbon Sequestration Credits and Endogenous Fire Risk.” Land Economics 86(1): 155–172.Google Scholar
Duku-Kaakyire, A., and Nanang, D.M. 2004. “Application of Real Options Theory to Forestry Investment Analysis.” Forest Policy and Economics 6(6): 539–552.Google Scholar
Englin, J., and Callaway, J. 1993. “Global Climate Change and Optimal Forest Management.” Natural Resource Modeling 7(2): 191–202.Google Scholar
Englin, J., and Callaway, J. 1995. “Environmental Impacts of Sequestering Carbon Through Forestation.” Climatic Change 31(1): 67–78.CrossRefGoogle Scholar
Friedman, A. 1988. Variational Principles and Free Boundary Problems. New York: Robert E. Kreiger Publishing.Google Scholar
Gong, P. 1999. “Optimal Harvest Policy with First-Order Autoregressive Price Process.” Journal of Forest Economics 5(3): 413–139.Google Scholar
Guthrie, G.A., and Kumareswaran, D.K. 2009. “Carbon Subsidies, Taxes and Optimal Forest Management.” Environmental Resource Economics 43(2): 275–293.Google Scholar
Haight, R.G., and Holmes, T.P. 1991. “Stochastic Price Models and Optimal Tree Cutting: Results for Loblolly Pine.” Natural Resource Modeling 5(4): 423–443.Google Scholar
Hartman, R. 1976. “The Harvesting Decision When a Standing Forest Has Value.” Economic Inquiry 14(1): 52–55.Google Scholar
Hoen, H., and Solberg, B. 1994. “Potential and Economic Efficiency of Carbon Sequestration in Forest Biomass through Silvicultural Management.” Forest Science 40(3): 429–451.Google Scholar
Insley, M. 2002. “A Real Options Approach to the Valuation of a Forestry Investment.” Journal of Environmental Economics and Management 44(3): 471–492.CrossRefGoogle Scholar
Insley, M., and Lei, M. 2007. “Hedges and Trees: Incorporating Fire Risk into Optimal Decisions in Forestry Using a No Arbitrage Approach.” Journal of Agricultural and Resource Economics 32(3): 492–514.Google Scholar
Insley, M., and Rollins, K. 2005. “On Solving the Multirotational Timber Harvesting Problem with Stochastic Prices: A Linear Complementarity Formulation.” American Journal of Agricultural Economics 87(3): 735–755.Google Scholar
Khajuria, R.P., Kant, S., and Laaksonen-Craig, S. 2009. “Valuation of Timber Harvesting Options Using a Contingent Claims Approach.” Land Economics 85(4): 655–674.Google Scholar
Martell, D. 1980. “The Optimal Rotation of a Flammable Forest.” Canadian Journal of Forest Resources 10(1): 30–34.CrossRefGoogle Scholar
Morck, R., Schwartz, E., and Stangeland, D. 1989. “The Valuation of Forestry Resources under Stochastic Prices and Inventories.” Journal of Financial and Quantitative Analysis 24(4): 473–487.Google Scholar
Morrison, P.H., and Swanson, F.J. 1990. “Fire History and Pattern in a Cascade Range Landscape.” General Technical Report No. PNW-GTR-254, Pacific Northwest Research Station, Forest Service, U.S. Department of Agriculture, Portland, OR.Google Scholar
Newman, D.H. 2002. “Forestry's Golden Rule and the Development of the Optimal Forest Rotation Literature.” Journal of Forest Economics 8(1): 5–28.Google Scholar
Norstrøm, C.J. 1975. “A Stochastic Model for the Growth Period Decision in Forestry.” Swedish Journal of Economics 77(3): 329–337.Google Scholar
Plantinga, A.J. 1998. “The Optimal Timber Rotation: An Option Value Approach.” Forest Science 44(2): 192–202.Google Scholar
Reed, W.J. 1984. “The Effect of the Risk of Fire on the Optimal Rotation of a Forest.” Journal of Environmental Economics and Management 11(2): 180–190.Google Scholar
Reed, W.J. 1993. “The Decision to Conserve or Harvest Old-Growth Forest.” Ecological Economics 8(1): 45–69.Google Scholar
Reed, W., and Clarke, H.R. 1990. “Harvest Decisions and Asset Valuation for Biological Resources Exhibiting Size-Dependent Stochastic Growth.” International Economic Review 31(1): 147–169.CrossRefGoogle Scholar
Routledge, R.D. 1980. “The Effects of Potential Catastrophic Mortality and Other Unpredictable Events on Optimal Forest Rotation Policy.” Forest Science 26(3): 389–399.CrossRefGoogle Scholar
Samuelson, P. 1976. “Economics of Forestry in Evolving Society.” Economic Inquiry 14(4): 466–492.Google Scholar
Saphores, J. 2003. “Harvesting a Renewable Resource under Uncertainty.” Journal of Economics Dynamics and Control 28(3): 509–529.Google Scholar
Saphores, J.-D., Khalaf, L., and Pelletier, D. 2002. “On Jumps and ARCH Effects in Natural Resource Prices: An Application to Pacific Northwest Stumpage Prices.” American Journal of Agricultural Economics 84(2): 387–400.Google Scholar
Sødal, S. 2002. “The Stochastic Rotation Problem: A Comment.” Journal of Economic Dynamics and Control 26(3): 509–515.Google Scholar
Thomson, T.A. 1992. “Optimal Forest Rotation When Stumpage Prices Follow a Diffusion Process.” Land Economics 68 (3): 329–342.Google Scholar
Thorsen, B.J. 1999. “Afforestation as a Real Option: Some Policy Implications.” Forest Science 45(2): 171–178.Google Scholar
Van Kooten, G.C., Binkley, C.S., and Delcourt, G. 1995. “Effect of Carbon Taxes and Subsidies on Optimal Forest Rotation Age and Supply of Carbon Services.” American Journal of Agricultural Economics 77(2): 365–374.CrossRefGoogle Scholar
Willassen, Y. 1998. “The Stochastic Rotation Problem: A Generalization of Faustmanns's Formula to Stochastic Forest Growth.” Journal of Economic Dynamics and Control 22(4): 573–596.Google Scholar
Wilmott, P., Howison, S., and Dewynne, J. 1993. Option Pricing: Mathematical Models and Computation. Oxford: Oxford Financial Press Google Scholar
Zvan, R., Forsyth, P., and Vetzal, K. 1998. “Penalty Methods for American Options with Stochastic Volatility.” Journal of Computational and Applied Mathematics 9(2): 199–218.CrossRefGoogle Scholar