Faustmann Optimal Pine Stands Stochastic Rotation Problem

Eduardo Navarrete, Jaime Bustos


The Faustmann optimal rotation harvesting pine stands models under Logistic and Gompertz wood stock and Brown price stochastic diffusion processes are reformulated as stochastic one dimensional optimal stopping problem, which are solvable with the Hamilton-Jacobi-Bellman equations. The stochastic models predict a significant increase of the deterministic optimal cut, with 47.0% and 48.0% in the cases of the Logistical and Gompertz wood stock diffusion respectively. The application of these models to a Chilean forest company shows discrepancies due to the absence of consideration to wood stock and price uncertainties that the company actual cut policy shows. The experimental data significantly validate the Faustmann stochastic logistic model. They give a better approximation of the company cut policy, underestimating it by 8.09% and producing a more reliable saturation volume than the Gompertz model. The sensitivity analysis shows that both volatilities have a similar linear effect in the optimal cut, but the wood stock volatility volume elasticity of 0.687 almost doubles the stumpage price volume elasticity of 0.350, showing the importance of this uncertainty.


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Paper Citation

in Harvard Style

Navarrete E. and Bustos J. (2013). Faustmann Optimal Pine Stands Stochastic Rotation Problem . In Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES, ISBN 978-989-8565-40-2, pages 205-212. DOI: 10.5220/0004285402050212

in Bibtex Style

author={Eduardo Navarrete and Jaime Bustos},
title={Faustmann Optimal Pine Stands Stochastic Rotation Problem},
booktitle={Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},

in EndNote Style

JO - Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,
TI - Faustmann Optimal Pine Stands Stochastic Rotation Problem
SN - 978-989-8565-40-2
AU - Navarrete E.
AU - Bustos J.
PY - 2013
SP - 205
EP - 212
DO - 10.5220/0004285402050212