The Faustmann model under storm risk and price uncertainty: A case study of European beech in Northwestern France

Rakotoarison, Hanitra and Loisel, Patrice (2016): The Faustmann model under storm risk and price uncertainty: A case study of European beech in Northwestern France. Published in: Forest Policy and Economics , Vol. 81, (August 2017): pp. 30-37.

Abstract

International, economic and environmental contexts in this century are strongly affected by risks and uncertainties. Due to the long-term nature of forest investment, forest managers must integrate risks and uncertainties into their decisions. Our objective is to build a decision support tool to optimize forest management under multiple risks: extreme events and price variations. Our method integrates, into an economic model, different types of models on forest growth, price functions, predicted storm intensity and intervals, and damage functions. A numerical simulation applied to European beech (Fagus sylvatica) in Northwestern France shows that price variation as between 1974 and 2016 produces higher economic loss than does storm damage. We conclude on the need to concentrate forest policy on the development of new technologies and wood industry practices to increase the value of this natural resource. However, future climate change may well influence storm frequency and intensity, and this places limits on our conclusions.

• Item Type: MPRA Paper
• Language: English
• Keywords: Price uncertainty; Storm damage; Risks; Wood industry; Forest policy
• Subjects: D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D81 - Criteria for Decision-Making under Risk and Uncertainty; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q2 - Renewable Resources and Conservation > Q21 - Demand and Supply ; Prices; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q2 - Renewable Resources and Conservation > Q23 - Forestry; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q5 - Environmental Economics > Q54 - Climate ; Natural Disasters and Their Management ; Global Warming

References

Albrecht, A., Hanewinkel, M., Bauhus, J., 2010. How does silviculture affect storm damage in forests of south-western Germany? Results from empirical modeling based on long-term observations 131, 229–247.

Bhattacharyya, R.N., Snyder, D.L., 1987. Stumpage price uncertainty and the optimal rotation of a Forest: an application of Sandmo model. J. Environ. Syst. 17, 305–313. http://dx.doi.org/10.2190/AGKQ-MWLM-1397-BTGG.

Bock, J., Didderen, I., Duplat, P., Aubin, J.-P., Badeau, V., Dupouey, J.-L., 2006. Stabilité au vent des hêtraies : les enseignements de la tempête de 1999. Rev. For. Fr. 143. http://dx.doi.org/10.4267/2042/5032.

Brazee, R., Mendelsohn, R., 1988. Timber harvesting with fluctuating prices. For. Sci. 34, 359–372.

Buongiorno, J., Raunikar, R., Zhu, S., 2011. Modélisation des conséquences possibles de la future demande bioénergétique mondiale pour le bois et les forêts en France. ([WWW Document], URL). http://hdl.handle.net/2042/43094.

Caurla, S.Lecocq, Delacote, F., Barkaoui, P., 2010. The French Forest sector model: version 1.0. Presentation and theorical foundations. Cah. LEF. 4, 1–40.

Cavaignac, S., Le Moguedec, G., Préget, R., Ibanez, L., 2006. Prix du bois de chêne et hétérogénéité des lots. Rev. For. Fr. 431. http://dx.doi.org/10.4267/2042/5063.

Chavet, M.-P., 1974. Cours des bois sur pied. For. Privée 48–49.

Faustmann, M., 1849. Berechnung des Wertes welchen Waldboden sowie noch nicht haubareHolzbestände für die Weldwirtschaft besitzen. Allgemeine Forst-und JagdZeitung 25, 441–445.

Forboseh, P.F., Brazee, R.J., Pickens, J.B., 1996. A strategy for multiproduct stand management with uncertain future prices. For. Sci. 42, 58–66.

Gardiner, B., Schuck, A., Schelhaas, M., Orazio, C., Blennow, K., Nicoll, B., 2013. Living With Storm Damage to Forests. European Forestry Institute, Joensuu.

Gong, P., Löfgren, K.G., 2007. Market and welfare implications of the reservation price strategy for forest harvest decisions. J. For. Econ. 13, 217–243. http://dx.doi.org/10. 1016/j.jfe.2007.06.001.

Guo, C., Costello, C., 2013. The value of adaption: climate change and timberland management. J. Environ. Econ. Manag. 65, 452–468. http://dx.doi.org/10.1016/j. jeem.2012.12.003.

Haarsma, R.J., Hazeleger, W., Severijns, C., de Vries, H., Sterl, A., Bintanja, R., van Oldenborgh, G.J., van den Brink, H.W., 2013. More hurricanes to hit western Europe due to global warming. Geophys. Res. Lett. 40, 1783–1788. http://dx.doi.org/10. 1002/grl.50360.

Heshmatol Vaezin, S.M., Barkaoui, A., Peyron, J.-L., 2008. Estimation du prix des bois sur pied en fonction des caractéristiques du lot : le cas du Hêtre en Lorraine avant les tempêtes de 1999. Rev. For. Fr. http://dx.doi.org/10.4267/2042/16782.

Holopainen, M., Mäkinen, A., Rasinmäki, J., Hyytiäinen, K., Bayazidi, S., Pietilä, I., 2010. Comparison of various sources of uncertainty in stand-level net present value estimates. For. Policy Econ. 12, 377–386. http://dx.doi.org/10.1016/j.forpol.2010. 02.009.

IGN, 2016. La forêt en chiffres et en cartes, Memento. Saint-Mandé. Insee, 2015. Coeff. Convers. Fr. Curr. http://www.bdm.insee.fr/bdm2/affichageSeries. action?request_locale=en&page=export&anneeDebut=1974&codeGroupe=1391& recherche=idbank&idbank=001643154&anneeFin=2014&periodeFin=1& periodeDebut=1 ([WWW Document], accessed 6.25.15).

Insley, M., Rollins, K., 2005. On solving the multirotational timber harvesting problem with stochastic prices: a linear complementarity formulation. Am. J. Agric. Econ. 87, 735–755.

Knoke, T., Wurm, J., 2006. Mixed forests and a flexible harvest policy: a problem for conventional risk analysis? Eur. J. For. Res. 125, 303–315. http://dx.doi.org/10. 1007/s10342-006-0119-5.

Knoke, T., Moog, M., Plusczyk, N., 2001. On the effect of volatile stumpage prices on the economic attractiveness of a silvicultural transformation strategy. For. Policy Econ. 2, 229–240. http://dx.doi.org/10.1016/S1389-9341(01)00030-2.

Le Moguédec, G., Dhôte, J.-F., 2011. Fagacées: a tree-centered growth and yield model for sessile oak (Quercus petraea L.) and common beech (Fagus sylvatica L.). Ann. For. Sci. 69, 257–269. http://dx.doi.org/10.1007/s13595-011-0157-0.

Lecocq, F., Caurla, S., Delacote, P., Barkaoui, A., Sauquet, A., 2011. Paying for forest carbon or stimulating fuelwood demand? Insights from the French Forest Sector Model. J. For. Econ. 17, 157–168. http://dx.doi.org/10.1016/j.jfe.2011.02.011.

Lohmander, P., 1987. The economics of forest management under risk. Ph.D. dissertation, Dept. of Forest Economics, Swedish University of Agricultural Sciences.

Lohmander, P., 2007. Adaptive optimization of forest management in a stochastic world. In: Handbook of Operations Research in Natural Resources. Springer, New York, pp. 525–544.

Loisel, P., 2011. Faustmann rotation and population dynamics in the presence of a risk of destructive events. J. For. Econ. 17, 235–247. http://dx.doi.org/10.1016/j.jfe.2011. 02.001.

Loisel, P., 2014. Impact of storm risk on Faustmann rotation. For. Policy Econ. 38, 191–198. http://dx.doi.org/10.1016/j.forpol.2013.08.002.

Lu, F., Gong, P., 2005. Adaptive thinning strategies for mixed-species stand management with stochastic prices. J. For. Econ. 11, 53–71. http://dx.doi.org/10.1016/j.jfe.2005. 02.003.

Mitlin, D., 1987. Prize-size Curves for Conifers. Her Majesty's Stationery Office, London.

Navarrete, E., 2012. Modeling optimal pine stands harvest under stochastic wood stock and price in Chile. For. Policy Econ. 15, 54–59. http://dx.doi.org/10.1016/j.forpol. 2011.09.005.

Nelder, J.A., Mead, R., 1965. A simplex method for function minimization. Comput. J. 7, 308–313. http://dx.doi.org/10.1093/comjnl/7.4.308.

Nellen, B., 2012. 90 ans d'évolution sous la loupe. In: Science et Pratique.

Newman, D.H., Gilbert, C.B., Hyde, W.F., 1985. The optimal Forest rotation with evolving prices. Land Econ. 61, 347–353. http://dx.doi.org/10.2307/3146152.

ONF, 1998. La Mobilisation des bois en provenance des forêts bénéficiant du régime forestier en 1997 et les prix obtenus aux grandes ventes de l'automne 1997. Rev. For. Fr. 297. http://dx.doi.org/10.4267/2042/5545.

Pajot, G., 2006. Approche économique de la fonction de séquestration du carbone par les forêts: Application au massif des Landes de Gascogne.

Peyron, J.-L., Costa, S., Drouineau, S., Lecoq, M., 2009. Impacts économiques des tempêtes : application à la tempête Klaus et au massif forestier landais. Innov. Agron. 6, 7–16.

Pilard-Landeau, B., Simon, E., 2008. Guide des sylvicultures La Hetraie Nord-Atlantique. Price, C., 2011. When and to what extent do risk premia work? Cases of threat and optimal rotation. J. For. Econ. 17, 53–66. http://dx.doi.org/10.1016/j.jfe.2010.09. 002.

Quinet, E., 2013. Evaluation_socioeconomique des investissements publics. In: Ministre, Premier (Ed.), Rapports et Document, Commisariat General à la stratégie et à la prospective.

Rakotoarison, H., 2016. Comprendre les variations des prix du hêtre en France à travers l’analyse retrospective des ventes de bois en forêts privées et publiques. RenDez-Vous Tech ONF 33–39.

Reed, W.J., 1984. The effects of the risk of fire on the optimal rotation of a forest. J. Environ. Econ. Manag. 11, 180–190. http://dx.doi.org/10.1016/0095-0696(84) 90016-0.

Reeves, L.H., Haight, R.G., 2000. Timber harvest scheduling with price uncertainty using Markowitz portfolio optimization. Ann. Oper. Res. 95, 229–250. http://dx.doi.org/ 10.1023/A:1018974712925.

RESOFOP, C., 2011. Exploitation de bois et travaux en forêt privée française. Forêt Privée Française, Paris.

Sandhu, G.S., Phillips, W.E., 1991. Optimum Forest rotation in an imperfect stumpage market with a changing demand function. Land Econ. 67, 240–254. http://dx.doi. org/10.2307/3146414.

Sardin, T., Mothe, F., 2010. Comparaison économique des tinéraires sylvicoles en chênaie sessiliflore continentale. In: RenDez-Vous Tech. Sylviculture des chênaies dans les forêts publiques Françaises HSpp. 21–29.

Schmidt, M., Hanewinkel, M., Kandler, G., 2010. An inventory-based approach for modeling single-tree storm damage — experiences with the winter storm of 1999 in southwestern Germany. Can. J. For. Res. 40, 1636–1652. http://dx.doi.org/10.1139/ X10-099.

Susaeta, A., Carter, D.R., Chang, S.J., Adams, D.C., 2016. A generalized Reed model with application to wildfire risk in even-aged Southern United States pine plantations. For. Policy Econ. 67, 60–69. http://dx.doi.org/10.1016/j.forpol.2016.03.009.

Tahvonen, O., Kallio, M., 2006. Optimal harvesting of forest age classes under price uncertainty and risk aversion. Nat. Resour. Model. 19, 557–585. http://dx.doi.org/ 10.1111/j.1939-7445.2006.tb00194.x.

Thomson, T.A., 1992. Optimal forest rotation when stumpage prices follow a diffusion process. Land Econ. 68, 329–342. http://dx.doi.org/10.2307/3146380.

Valsta, L., 1994. Silvicultural Guidelines Based on Optimization With Stochastic Price and Growth. In: Sixth Symposium on Systems Analysis and Management Decisions in Forestry. Asilomar Conference Center, Pacific Grove, CA, U.S.A. (September 6-9).

Yoshimoto, A., 2002. Stochastic control modeling for forest stand management under uncertain price dynamics through geometric brownian motion. J. For. Res. 7, 81–90. http://dx.doi.org/10.1007/BF02762512.

Yoshimoto, A., Shoji, I., 1998. Searching for an optimal rotation age for forest stand management under stochastic log prices. Eur. J. Oper. Res. 105, 100–112. http://dx. doi.org/10.1016/S0377-2217(97)00040-4.