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Research article - Peer-reviewed, 2016

Could the Faustmann model have an interior minimum solution?

Gong, Peichen; Lofgren, Karl-Gustaf


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. (C) 2016 Department of Forest Economics, Swedish University of Agricultural Sciences, Ume (a) over circle. Published by Elsevier GmbH. All rights reserved.


Forest economics; Optimal rotation age; S-shaped growth curve

Published in

Journal of Forest Economics
2016, Volume: 24, pages: 123-129

    SLU Authors

      • Löfgren, Karl-Gustaf

        • Umeå University

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