The growth of an even-aged stand usually follows a S-shaped pattern, implying that the growth function is convex when stand age is low and concave when stand age is high. Given such a growth function, the Faustmann model could in theory have multiple optima and hence an interior local minimum solution. To ensure that the rotation age at which the first derivative of the land expectation value equals zero is a maximum, it is often assumed that the growth function is concave in stand age. Yet there is no convincing argument for excluding the possibility of conducting the final harvest before the growth function changes to concave. We argue that under normal circumstances the Faustmann model does not have any interior minimum. It is neither necessary nor proper to assume that the growth function is concave in the vicinity of the optimal rotation age. When the interest rate is high, the optimal rotation may lie in the interval on which the growth function is convex, i.e. before volume or value growth culminates.
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1 August 2016
Research Article|
August 01 2016
Could the Faustmann model have an interior minimum solution? Available to Purchase
Peichen Gong;
Center of Environmental and Resource Economics, Department of Forest Economics, Swedish University of Agricultural Sciences
, SE-90183 Umeå, Sweden
Corresponding author. Tel.: +46907868492. E-mail addresses: Peichen.gong@slu.se (P. Gong), karl-gustaf.lofgren@umu.se (K.-G. Löfgren).
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Karl-Gustaf Löfgren
Karl-Gustaf Löfgren
Center of Environmental and Resource Economics, Department of Economics, Umeå University
, SE-90187 Umeå, Sweden
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Corresponding author. Tel.: +46907868492. E-mail addresses: Peichen.gong@slu.se (P. Gong), karl-gustaf.lofgren@umu.se (K.-G. Löfgren).
Received:
April 28 2015
Accepted:
June 01 2016
Online ISSN: 1618-1530
Print ISSN: 1104-6899
© 2016 Department of Forest Economics, Swedish University of Agricultural Sciences, Umeå.
2016
Department of Forest Economics, Swedish University of Agricultural Sciences, Umeå.
Licensed re-use rights only
Journal of Forest Economics (2016) 24 (1): 123–129.
Article history
Received:
April 28 2015
Accepted:
June 01 2016
Citation
Gong P, Löfgren K (2016), "Could the Faustmann model have an interior minimum solution?". Journal of Forest Economics, Vol. 24 No. 1 pp. 123–129, doi: https://doi.org/10.1016/j.jfe.2016.06.001
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