iForest - Biogeosciences and Forestry


Optimizing the management of uneven-aged Pinus nigra stands between two stable positions

Ignacio López Torres (1)   , Sigfredo Ortuño Pérez (1), Fernando García Robredo (1), Carmen Fullana Belda (2)

iForest - Biogeosciences and Forestry, Volume 9, Issue 4, Pages 599-607 (2016)
doi: https://doi.org/10.3832/ifor1298-008
Published: Mar 01, 2016 - Copyright © 2016 SISEF

Research Articles

This study proposes a discrete optimal control model to obtain harvest strategies that maximize the net present value (NPV) of the timber harvested from uneven-aged Pinus nigra stands located in the Spanish Iberian System, between two stable positions. The model was constructed using an objective function that integrates financial data on the harvesting operations with a matrix model describing the population dynamics. The initial and final states are given by the stable diameter distribution of the stand, and the planning horizon is 70 years. The scenario analysis corresponding to the optimal solutions revealed that the stand diameter distribution does not deviate substantially from the equilibrium position over time and that the NPV for the optimal harvesting schedule was always greater than the NPV for the “sustainable/stable” harvesting strategy. The NPV increase for the different scenarios is between 5.36% and 14.43%, showing a greater increase in higher site index scenarios and higher recruitments.


Sustainability, Stability, Equilibrium, Optimal Harvesting, Discrete Optimal Control, Matrix Model

Authors’ address

Ignacio López Torres
Sigfredo Ortuño Pérez
Fernando García Robredo
Universidad Politécnica de Madrid (UPM), ETSI de Montes, Ciudad Universitaria, E-28040 Madrid (Spain)
Carmen Fullana Belda
Universidad Pontificia de Comillas, Alberto Aguilera 23, E-28015 Madrid (Spain)

Corresponding author

Ignacio López Torres


López Torres I, Ortuño Pérez S, García Robredo F, Fullana Belda C (2016). Optimizing the management of uneven-aged Pinus nigra stands between two stable positions. iForest 9: 599-607. - doi: 10.3832/ifor1298-008

Academic Editor

Agostino Ferrara

Paper history

Received: Mar 26, 2014
Accepted: Nov 05, 2015

First online: Mar 01, 2016
Publication Date: Aug 09, 2016
Publication Time: 3.90 months

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