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Forest Rotations and Stand Interdependency: Ownership Structure and Timing of Decisions

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  • Gregory S. Amacher
  • Erkki Koskela
  • Markku Ollikainen
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    Abstract

    This paper extends the Hartman model to study the optimal rotation age of two interdependent stands when the stream of amenities produces from the two stands may be complements or substitutes, both in space and over time. In the presence of stand interdependence both the ownership structure and the sequence of decision making matters. Rotation age choices are examined and compared under a variety of equilibria, including Nash, Stackelberg, and sole owner cases which differ as to the level of commitment by landowners to their choices. We show that the sole owner’s rotation age is longer than the rotation age solved under both Nash and Stackelberg assumptions if the stands are spatial complements, but shorter if they are substitutes. The precise relationship between the Nash and Stackelberg rotation ages, and the qualitative properties of rotation ages in terms of timber prices, regeneration costs, and interest rates, also depend on how spatial substitutability and complementarity between stands evolves through time.

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    File URL: http://www.cesifo-group.de/portal/page/portal/DocBase_Content/WP/WP-CESifo_Working_Papers/wp-cesifo-2002/wp-cesifo-2002-02/cesifo_wp673.pdf
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    Bibliographic Info

    Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 673.

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    Date of creation: 2002
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    Handle: RePEc:ces:ceswps:_673

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    Keywords: forest rotation; amenity services; stand interdependence;

    References

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    1. Kannai, Yakar, 1980. "The ALEP definition of complementarity and least concave utility functions," Journal of Economic Theory, Elsevier, vol. 22(1), pages 115-117, February.
    2. Markku Ollikainen & Erkki Koskela, 2001. "Optimal Private and Public Harvesting under Spatial and Temporal Interdependence," CESifo Working Paper Series 452, CESifo Group Munich.
    3. Koskela, Erkki & Ollikainen, Markku, 2001. "Forest Taxation and Rotation Age under Private Amenity Valuation: New Results," Journal of Environmental Economics and Management, Elsevier, vol. 42(3), pages 374-384, November.
    4. Swallow Stephen K. & Wear David N., 1993. "Spatial Interactions in Multiple-Use Forestry and Substitution and Wealth Effects for the Single Stand," Journal of Environmental Economics and Management, Elsevier, vol. 25(2), pages 103-120, September.
    5. Stephen Polasky & Jeffrey D. Camm & Brian Garber-Yonts, 2001. "Selecting Biological Reserves Cost-Effectively: An Application to Terrestrial Vertebrate Conservation in Oregon," Land Economics, University of Wisconsin Press, vol. 77(1), pages 68-78.
    6. Stephen K. Swallow & Piyali Talukdar & David N. Wear, 1997. "Spatial and Temporal Specialization in Forest Ecosystem Management Under Sole Ownership," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(2), pages 311-326.
    7. Albers, Heidi J., 1996. "Modeling Ecological Constraints on Tropical Forest Management: Spatial Interdependence, Irreversibility, and Uncertainty," Journal of Environmental Economics and Management, Elsevier, vol. 30(1), pages 73-94, January.
    8. Strang, William J, 1983. "On the Optimal Forest Harvesting Decision," Economic Inquiry, Western Economic Association International, vol. 21(4), pages 576-83, October.
    9. 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.
    10. Weber, Christian E., 2000. "Two further empirical implications of Auspitz-Lieben-Edgeworth-Pareto complementarity," Economics Letters, Elsevier, vol. 67(3), pages 289-295, June.
    11. Dixit, Avinash K, 1986. "Comparative Statics for Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 107-22, February.
    12. Chipman, John S., 1977. "An empirical implication of Auspitz-Lieben-Edgeworth-Pareto complementarity," Journal of Economic Theory, Elsevier, vol. 14(1), pages 228-231, February.
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