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

doi:10.3832/ifor1298-008

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

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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.

Keywords

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

Authors’ address

(1)

Universidad Politécnica de Madrid (UPM), ETSI de Montes, Ciudad Universitaria, E-28040 Madrid (Spain)

(2)

Universidad Pontificia de Comillas, Alberto Aguilera 23, E-28015 Madrid (Spain)

Corresponding author

Ignacio López Torres
i.lopez@upm.es

Citation

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

Open Access

This article is distributed under the terms of the Creative Commons Attribution-Non Commercial 4.0 International (https://creativecommons.org/licenses/by-nc/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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List of the papers citing this article based on CrossRef Cited-by.

(1)

Buongiorno J, Michie BR (1980)
A matrix model of uneven-aged forest management. Forest Science 26: 609-625.
Online | Gscholar

(2)

Caswell H (2001)
Matrix population models: construction, analysis, and interpretation (2nd edn). Sinauer Associates Inc., Sunderland, MA, USA, pp. 710.
Gscholar

(3)

Gómez Loranca JA (1998)
Modelo de crecimiento y producción para Pinus nigra Arn. en el Sistema Ibérico. [Growth and yield model for Pinus nigra Arn. in the Iberian System]. Montes Revista de Ámbito Forestal 54: 5-18.[in Spanish]
Gscholar

(4)

Grande MA, García Abril A (2005)
Los pinares de Pinus nigra Arn. en España: ecología, uso y gestión. [The forests of Pinus nigra Arn. in Spain: ecology, use and management]. Fundación Conde del Valle de Salazar - FUCOVASA, Madrid, Spain, pp. 699. [in Spanish]
Gscholar

(5)

Haight RG (1985)
A comparison of dynamic and static economic models of uneven-aged stand management. Forest Science 31 (4): 957-974.
Online | Gscholar

(6)

Keyfitz N (1968)
Introduction to the mathematics of population. Addison-Wesley, Reading, MA, USA, pp. 450.
Gscholar

(7)

Kronrad GD, Huang CH (2002)
Financially optimal thinning and final harvest schedules for loblolly pine plantations on nonindustrial private forestland in east Texas. Southern Journal of Applied Forestry 26 (1): 13-17.
Online | Gscholar

(8)

Liang J, Picard N (2012)
Matrix model of forest dynamics: an overview and outlook. Forest Science 59 (3): 359-378.
CrossRef | Gscholar

(9)

López I, Ortuño S, Martín AJ, Fullana C (2007)
Estimating the sustainable harvesting and the stable diameter distribution of European beech with projection matrix models. Annals of Forest Science 64: 593-599.
CrossRef | Gscholar

(10)

López I, Fullana C, Ortuño SF, Martín AJ (2008)
Choosing Fagus sylvatica L. matrix model dimension by sensitivity analysis of the population growth rate with respect to the width of the diameter classes. Ecological Modelling 218: 307-314.
CrossRef | Gscholar

(11)

López I, Ortuño S, Martín A, Fullana C (2010)
Estimating the optimal rotation age of Pinus nigra in the Spanish Iberian System applying discrete optimal control. Forest Systems 19 (3): 306-314.
CrossRef | Gscholar

(12)

López I, Ortuño S, García F, Fullana C (2012)
Is De Liocourt’s distribution stable? Forest Science 58 (1): 34-46.
CrossRef | Gscholar

(13)

López I, Ortuño S, García F, Fullana C (2013)
Are the economically optimal harvesting strategies of uneven-aged Pinus nigra stands always sustainable and stabilizing? Forests 4: 830-848.
CrossRef | Gscholar

(14)

MAGRAMA (2012)
Boletín mensual de estadística 1994-2011. [Monthly statistical bulletin 1994-2011]. Technical General Secretary of the Spanish Ministry of Agriculture, Food and Environment, Madrid, Spain, pp. 48. [in Spanish]
Gscholar

(15)

Maple (2014)
Maplesoft version 18.0. Waterloo Maple Inc., Ontario, Canada.
Online | Gscholar

(16)

Misir M, Misir N, Yavuz H (2007)
Modeling individual tree mortality for Crimean pine plantations. Journal of Environmental Biology 28 (2): 167-172.
Online | Gscholar

(17)

Montero G, Rojo A, Alía R (1992)
Determinación del turno de Pinus sylvestris L. en el Sistema Central. [Determination of rotation age for Pinus sylvestris L. in the Central System]. Revista Montes 29: 42-47. [in Spanish]
Gscholar

(18)

Retana J, Espelta JM, Habrouk A, Ordóñez JL, Solà-Morales F (2002)
Regeneration patterns of three Mediterranean pines and forest changes after a large wildfire in north-eastern Spain. Ecoscience 9: 89-97.
Online | Gscholar

(19)

Richards FJ (1959)
A flexible growth function for empirical use. Journal of Experimental Botany 10 (29): 290-300.
CrossRef | Gscholar

(20)

Schütz JP (1989)
Le regime du jardinage [The gardening regime]. Chaire de sylviculture, ETH Zürich, Switzerland, pp. 110. [in French]
Gscholar

(21)

Schütz JP (2006)
Modelling the demographic sustainability of pure beech plenter forests in Eastern Germany. Annals of Forest Science 63: 93-100.
CrossRef | Gscholar

(22)

Serrada R, Domínguez Lerena S, Sánchez Resco MI, Ruiz Ortiz J (1994)
El problema de la regeneración natural de Pinus nigra Arn. [The problem of natural regeneration of Pinus nigra Arn.]. Revista Montes 36: 52-57. [in Spanish]
Gscholar

(23)

Sethi SP, Thompson GL (2000)
Optimal control theory: applications to management science and economics (2nd edn). Kluwer Academic Publishers, Boston, MA, USA, pp. 505.
Gscholar

(24)

Siegel W, Hoover W, Haney H, Liu K (1995)
Forest owners’ guide to the federal income tax. Agriculture Handbook No. 708, USDA Forest Service, Washington, DC, USA, pp. 138.
Gscholar

(25)

Tahvonen O (2004)
Optimal harvesting of forest age classes: a survey of some recent results. Mathematical Population Studies 11: 205-232.
CrossRef | Gscholar

(26)

Tíscar PA (2007)
Dinámica de regeneración de Pinus nigra subs. Salzmannii al sur de su área de distribución: etapas, procesos y factores implicados. [Regeneration dynamics of Pinus nigra subs. Salzmannii south of its distribution area: stages, processes and related factors]. Investigación Agraria: Sistemas y Recursos Forestales 16(2): 124-135.
CrossRef | Gscholar

(27)

Tíscar Oliver PA, Lucas ME, Tíscar Soria MA (2010)
La alteración del suelo y la espesura como factores de regeneración de Pinus nigra subs. Salzmannii a lo largo de su área de distribución. [Soil alterations and stem density as regeneration factors for Pinus nigra subs. Salzmannii along its distribution area]. Revista Montes 103: 10-15. [in Spanish]
Gscholar

(28)

Trasobares A, Pukkala T (2004)
Optimising the management of uneven-aged Pinus sylvestris L. and Pinus nigra Arn. mixed stands in Catalonia, north-east Spain. Annals of Forest Science 61: 747-758.
CrossRef | Gscholar

(29)

Van Mantgem PJ, Stephenson NT (2005)
The accuracy of matrix population model projections for coniferous trees in the Sierra Nevada, California. Journal of Ecology 93: 737-747.
CrossRef | Gscholar

(30)

Vanclay JK (2012)
Modelling continuous cover forests. In: “Continuous cover forestry” (Pukkala T, Gadow KV eds). Managing Forest Ecosystems 23, Springer, Berlin, Germany, pp. 229-241.
CrossRef | Gscholar

(31)

Von Bertalanffy L (1938)
A quantitative study of organic growth (Inquiries on growth laws, II). Human Biology 10: 181-213.
Gscholar

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