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Simultaneous optimization of even flow and land and timber value in forest planning:a continuous approach

forest Ecosystems 2021年第4期8卷 645-658页

作者： Jose M.Gonzalez-Gonzalez Miguel E.Vazquez-Mendez Ulises Dieguez-Aranda Departamento de Enxenaria Agroforestal Universidade de Santiago de Compostela.Escola Politecnica Superior de EnxenariaR/Benigno Ledo27002 LugoSpain Departamento de Matematica Aplicada Instituto de MatematicasUniversidade de Santiago de Compostela.Escola Politecnica Superior de EnxenariaR/Benigno Ledo27002 LugoSpain

Background:forest management planning involves deciding which silvicultural treatment should be applied to each stand and at what time to best meet the objectives established for the *** this,many mathematical formulations have been proposed,both within the linear and non-linear programming frameworks,in the latter case generally considering integer variables in a combinatorial *** present a novel approach for planning the management of forests comprising single-species,even-aged stands,using a continuous,multi-objective formulation(considering economic and even flow)which can be solved with gradient-type ***:The continuous formulation has proved robust in forest with different structures and different number of *** results obtained show a clear advantage of the gradient-type methods over heuristics to solve the problems,both in terms of computational time(efficiency)and in the solution obtained(effectiveness).Their improvement increases drastically with the dimension of the problem(number of stands).Conclusions:It is advisable to rigorously analyze the mathematical properties of the objective functions involved in forest management planning *** continuous bi-objective model proposed in this paper works with smooth enough functions and can be efficiently solved by using gradient-type *** advantages of the new methodology are summarized as:it does not require to set management prescriptions in advance,it avoids the division of the planning horizon into periods,and it provides better solutions than the traditional combinatorial ***,the graphical display of trade-off information allows an a posteriori articulation of preferences in an intuitive way,therefore being a very interesting tool for the decision-making process in forest planning.

关键词： even-aged forest management forest-level optimization Continuous optimization Gradient-type algorithms

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