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Bootstrap Simulation, Markov Decision Process Models, and Role of Discounting in the Valuation of Ecological Criteria in Uneven-Aged Forest Management

  • Mo ZhouEmail author
  • Joseph Buongiorno
  • Jingjing Liang
Chapter
  • 1.2k Downloads
Part of the Managing Forest Ecosystems book series (MAFE, volume 23)

Abstract

This chapter presents general methods combining stochastic simulation and Markov decision process models, with a specific application to the issue of discounting ecological criteria. The literature argues for and against discounting ecological costs and benefits like standard financial investments. As part of this debate, this chapter investigates some purely ecological consequences of discounting ecological criteria. The methods are Markov decision process models with infinite time horizon and discounted or undiscounted ecological objectives, based on bootstrap simulations of stand growth. The data were from Douglas-fir/western hemlock forests in the U.S. Pacific Northwest, with the assumption of continuous-cover forestry. The ecological criteria examined here included the stand basal area per hectare, the tree species and size diversity measured with Shannon’s index, and the percentage of the forest in late seral stage. In maximizing expected tree species diversity, 18 out of 64 possible stand states would call for different decisions with discounting. For tree size diversity, the decisions differed for five stand states. For basal area all but two states called for the same decision. For late seral forest frequency, discounting led to different decisions for 13 stand states. However, for only a few stand states were the ecological criteria substantially different immediately after harvest. Thus, discounting would matter only for a few stand states, which in the study area had a low frequency. Given this initial condition, only the expected late seral forest frequency differed substantially after a decade with discounting. In the long run, the initial condition does not matter and discounting the criteria gave very similar values as not discounting.

Keywords

Basal Area Stand State Tree Species Diversity Stand Basal Area Ecological Criterion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

This work has been supported in part by financial support to Joseph Buongiorno by the USDA Forest Service Southern Forest Experiment Station.

References

  1. Ambuel B, Temple SA (1983) Area-dependent changes in the bird communities and vegetation of S. Wisconsin forests. Ecology 64:1057–1068CrossRefGoogle Scholar
  2. Austin MP, Meyers JA (1999) Current approaches to modelling the environmental niche of eucalypts: implication for management of forest biodiversity. For Ecol Manag 85:95–106CrossRefGoogle Scholar
  3. Barbour RJ, Kellogg RM (1990) Forest management and end-product quality: a Canadian perspective. Can J For Res 20:405–414Google Scholar
  4. Bentley WR, Roger FR (1966) A zero interest comparison of forest rent and soil rent. For Sci 12(4):460–460Google Scholar
  5. Bevers M, Hof J (1999) Spatially optimizing wildlife habitat edge effects in forest management linear and mixed-integer programs. For Sci 45(2):249–258Google Scholar
  6. Bierman HJ (1968) The growth period decision. Manag Sci 14(6):302–309CrossRefGoogle Scholar
  7. Boscolo M, Buongiorno J, Panayotou T (1997) Simulating options for carbon sequestration through improved management of a lowland tropical rainforest. Environ Dev Econ 2:241–263CrossRefGoogle Scholar
  8. Buongiorno J (2001) Generalization of Faustmann’s formula for stochastic forest growth and prices with Markov decision process models. For Sci 47(4):466–474Google Scholar
  9. Buongiorno J, Gilless JK (2003) Decision Methods for Forest Resource Management. Academic Press, San DiegoGoogle Scholar
  10. Buongiorno J, Zhou M (2009) Further generalization of Faustmann’s formula for stochastic interest rate. Paper presented at the third international Faustmann symposium, 28–31 Oct 2009, DarmstadtGoogle Scholar
  11. Burns RM and Honkala BH (1990) Silvics of North America, Vol. 1, Conifers. Washington DC: U.S.D.A. Forest Service Agriculture Handbook 654Google Scholar
  12. Chang SJ (1981) Determination of the optimal growing stock and cutting cycle for an uneven-aged stand. For Sci 27(4):739–744Google Scholar
  13. Clark CW (1988) Clear-cut economies (should we harvest everything now?). The Sciences, pp 16–20Google Scholar
  14. D’Epenoux F (1963) A probabilitstic production and inventory problem. Manag Sci 10(1):98–108CrossRefGoogle Scholar
  15. Dewar RC, Cannell MR (1992) Carbon sequestration in the trees, products and soils of forest plantations: an analysis using UK examples. Tree Physiol 11:49–71PubMedGoogle Scholar
  16. Faustmann M (1849) Calculation of the value which forest land and immature stands possess for forestry. Allgemaine forst- und jagdzeitung 15:441–55Google Scholar
  17. Feinberg F, Schwartz A (2001) Handbook of Markov decision processes: methods and applications. Springer, New York, 576 pGoogle Scholar
  18. Franklin JF (1988) Pacific northwest forests. In: Barbour MG, Billings WD (Eds), North American Terrestrial Vegetation. Cambridge University Press, New York, p 434Google Scholar
  19. Gobster PH (1999) An ecological aesthetic for forest landscape management. Landsc J 18(1): 54–64Google Scholar
  20. Gowdy JM (1996) Discounting, hierarchies, and the social aspects of biodiversity protection. Int J Soc Econ 23(4/4/6):49–63CrossRefGoogle Scholar
  21. Guldin JM (1996) The role of uneven-aged silviculture in the context of ecosystem management. West J Appl For 11(1):4–12Google Scholar
  22. Hansen AJ, Spies TA, Swanson FJ, Ohmann JL (1991) Conserving biodiversity in managed forests: lessons from natural forests. BioScience 41(6):382–292CrossRefGoogle Scholar
  23. Hartman R (1976) The harvesting decision when the standing tree has value. Econ Inq 14(1):52–58CrossRefGoogle Scholar
  24. Hillier FS, Lieberman GJ (2005) Introduction to operations research, 8th edn. McGraw-Hill, Boston, 1059 pGoogle Scholar
  25. Holling CS, Dantzig GB, Winkler C (1986) Determining optimal policies for ecosystems, pp 463–467. In: Kallio M et al (eds) Systems analysis in forestry and forest industries. TIMS studies in Management Science vol 21, North Holland, Amsterdam, 487 pGoogle Scholar
  26. Howarth RB (2009) Discounting, uncertainty, and revealed time preference. Land Econ 85(1): 24–40Google Scholar
  27. Hummel S, Calkin DE (2005) Costs of landscape silviculture for fire and habitat management. For Ecol Manag 207(3):385–404CrossRefGoogle Scholar
  28. Insley M (2002) A real options approach to the valuation of a forestry investment. J Environ Econ Manag 44(3):471–492CrossRefGoogle Scholar
  29. Insley M, Rollins K (2005) On Solving the Multirotational Timber Harvesting Problem with Stochastic Prices: A Linear Complementarity Formulation. Am J Agri Econ 87(3):735–755Google Scholar
  30. Jiang H, Strittholt J, Frost P, Slosser N (2004) The classification of late seral forests in the Pacific Northwest, USA using Landsat ETM + imagery. Remote Sens Environ 91:320–331CrossRefGoogle Scholar
  31. Kangas J, Kuusipalo J (1993) Integrating biodiversity into forest management planning and decision making. For Ecol Manag 61:1–15CrossRefGoogle Scholar
  32. Kao C (1984) Notes: optimal stocking levels and rotation under uncertainty. For Sci 30(4):921–927Google Scholar
  33. Kaya I, Buongiorno J (1987) Economic management of uneven-aged northern hardwood stands. North J Appl For 2:28–31Google Scholar
  34. Kaya I, Buongiorno J (1989) A harvesting guide for uneven-aged northern hardwood stands. North J Appl For 2:28–31Google Scholar
  35. Lembersky MR, Johnson KN (1975) Optimal policies for managed stands: an infinite horizon Markov decision process approach. For Sci 21(2):109–122Google Scholar
  36. Liang J, Buongiorno J, Monserud RA (2005) Growth and yield of all-aged Douglas-fir/western hemlock forest stands: a matrix model with stand diversity effects. Can J For Res 35:2369–2382CrossRefGoogle Scholar
  37. Liang J, Buongiorno J, Monserud RA (2006) Bootstrap simulation and response surface optimization of management regimes for Douglas-fir/western hemlock stands. For Sci 52(5):579–594Google Scholar
  38. Lin C-R, Buongiorno J (1998) Tree diversity, landscape diversity, and economics of maple-birch forests: implications of Markov models. Manag Sci 44(10):1351–1366CrossRefGoogle Scholar
  39. Miller M, Emmingham B (2001) Can Selection Thinning Convert Even-Age Douglas-Fir Stands to Uneven-Age Structures? Western J Appl For 16(1):35–43Google Scholar
  40. Newman D (1988) The optimal forest rotation: a discussion and annotated bibliography. General Technical Report SE-48. U.S. Department of Agriculture, Forest Service, Southeastern Forest Experiment Station, Asheville, 47 pGoogle Scholar
  41. Newman DH, Yin R (1995) A note on the tree-cutting problem in a stochastic environment. J For Econ 1:181–190Google Scholar
  42. Plantinga AJ (1998) Optimal harvesting strategies with stationary and non-stationary prices: an option value analysis. For Sci 44:192–202Google Scholar
  43. NWP Regional Ecosystem Office (2005) REO GIS data. Regional Ecosystem Office, Portland, Oregon. Available from http://www.reo.gov/gis/data/gisdata/index.htm. Last accessed July 2006
  44. O'HARA KL (1998) Silviculture for structural diversity: A new look at multiaged systems. J Forestry 96:4–10Google Scholar
  45. Runkle DE (1987) Vector autoregression and reality. J Bus Econ Stat 5:437–442CrossRefGoogle Scholar
  46. Seely B, Nelson J, Wells R, Peter B, Meitner M, Anderson A, Harshaw H, Sheppard S, Bunnell FL, Kimmins H, Harrison D (2004) The application of a hierarchical, decision-support system to evaluate multi-objective forest management strategies: a case study in northeastern British Columbia, Canada. For Ecol Manag 199:284–305Google Scholar
  47. Shannon CE (1948) A mathematical theory of communication. Bell Syst Tech J 27:379–423, 623–656Google Scholar
  48. Winston WL (1991) Operations research: applications and algorithms, 2nd edn. PWS-Kent Publishing Co, Boston, 1262 ppGoogle Scholar
  49. Zhou M, Buongiorno J (2006) Forest landscape management in a stochastic environment, with an application to mixed loblolly pine-hardwood forests. For Ecol Manag 223:170–182CrossRefGoogle Scholar
  50. Zhou M, Liang J, Buongiorno J (2008a) Adaptive versus fixed policies for economic or ecological objectives in forest management. For Ecol Manag 254:178–187CrossRefGoogle Scholar
  51. Zhou M, Buongiorno J, Liang J (2008b) Economic and ecological effects of diameter caps: a Markov decision model for Douglas-fir/western hemlock forests. For Sci 54(4):397–407Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.West Virginia UniversityMorgantownUSA
  2. 2.University of Wisconsin-MadisonMadisonUSA

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