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Forest Management: are Double or Mixed Rotations Desirable?

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  • Olfa Khazri
  • Pierre Lasserre

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Abstract

In this paper, we study a particular uneven-aged forest stand management pattern that is often advocated in practice. The forest structure under consideration is similar to a normalized forest à la Faustmann, with the following difference: rather than being single aged, each forest tract contains trees of two age classes so that it is submitted to a form of selective cutting. Each harvest involves all of the older trees and only a fraction of the younger ones; hence the name mixed rotation. Trees left standing at harvest help stimulate natural regeneration and improve various environmental and amenity characteristics of the forest. We model this effect by using a cost function that varies with respect to the harvest rate of younger trees. We derive the properties that this cost function must exhibit in order some form of mixed rotation to be superior to the conventional single rotation à la Faustmann; we also characterize the mixed rotation in terms of duration and the harvest rate of younger trees, and we compare its properties with Faustman’s rule. Nous étudions un cas particulier d’aménagement forestier inéquien qui est recommandé dans la pratique actuelle. La structure de la forêt est similaire à une forêt normalisée à la Faustmann avec la différence suivante: au lieu d’être équien, chaque lot comporte deux classes d’âge; il est soumis à une forme de coupe sélective. À chaque récolte, on coupe tous les arbres les plus vieux ainsi qu’une fraction des arbres les plus jeunes; d’où le nom de rotation mixte. Les arbres non coupés aident la régénération naturelle et améliorent diverses caractéristiques environnementales et esthétiques de la forêt. Nous modélisons cet effet en utilisant une fonction de coût qui varie avec le taux de récolte des arbres jeunes. Nous dérivons les propriétés que cette fonction de coût doit satisfaire pour que la rotation mixte soit préférable à la rotation standard à la Faustmann; nous caractérisons la rotation mixte en termes de durée et de taux de récolte des jeunes arbres, que nous comparons avec le cas de Faustmann.

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Bibliographic Info

Paper provided by CIRANO in its series CIRANO Working Papers with number 2008s-19.

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Date of creation: 01 Jul 2008
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Handle: RePEc:cir:cirwor:2008s-19

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Keywords: forest management; Faustmann’s rule; normal forest; synchronized forest; uneven-aged lots; amenity value; mixed rotation; selective cutting; aménagement forestier; règle de Faustmann; forêt normalisée; forêt synchronisée; forêt inéquienne; aménités; rotation mixte; coupe sélective;

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  1. Salo, Seppo & Tahvonen, Olli, 2002. "On Equilibrium Cycles and Normal Forests in Optimal Harvesting of Tree Vintages," Journal of Environmental Economics and Management, Elsevier, vol. 44(1), pages 1-22, July.
  2. Sahashi, Yoshinao, 2002. "Optimal forestry control with variable forest area," Journal of Economic Dynamics and Control, Elsevier, vol. 26(5), pages 755-796, May.
  3. Salo, Seppo & Tahvonen, Olli, 2003. "On the economics of forest vintages," Journal of Economic Dynamics and Control, Elsevier, vol. 27(8), pages 1411-1435, June.
  4. Mitra, Tapan & Wan, Henry Jr., 1986. "On the faustmann solution to the forest management problem," Journal of Economic Theory, Elsevier, vol. 40(2), pages 229-249, December.
  5. Heaps, Terry, 1984. "The forestry maximum principle," Journal of Economic Dynamics and Control, Elsevier, vol. 7(2), pages 131-151, May.
  6. Jussi Uusivuori & Jari Kuuluvainen, 2005. "The Harvesting Decisions When a Standing Forest with Multiple Age-Classes Has Value," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(1), pages 61-76.
  7. Hartman, Richard, 1976. "The Harvesting Decision When a Standing Forest Has Value," Economic Inquiry, Western Economic Association International, vol. 14(1), pages 52-58, March.
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