Graduate Thesis Or Dissertation
 

A multivariate control solution to the mixed species/diameter class thinning and final rotation problem

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  • The algorithm RLS-PLUS was developed to yield solutions to the multivariate control problem of diameter and species optimization for mixed conifer and hardwood stands. The problem is specified with twenty-five state variables consisting of five species groups with four merchantable diameter classes and one unmerchantable class. This gives twenty diameter species group control variables. The large state vector allows the algorithm to account for competitive interactions among species in the optimization process. RLS-PLUS is an extension of the RLS-PATH algorithm. Specific extensions in the application of RLS-PLUS are the differentiation of species through expansion of the controls, and greater detail of the economic parameters. RLS-PLUS and RLS-PATH both limit their search to a single state space per iteration. RLS-PLUS also relies on the assumption of a monotonically increasing production function, in accordance with the PATH algorithm. RLS-PLUS was applied to the single tree, distance independent growth model ORGANON version 3.0 (Hann, 1983). Optimal thinning trajectories prioritized the removal of the relatively slow growing, highly competitive species when stumpage values are constant across all species. Altering the stumpage values of different species groups predictably alters the prioritization of species removal. Optimal soil expectation values (SEV) determined in the twenty control variable problem ranged from seven to sixteen percent greater than if the problem state space was reduced to four diameter class controls.
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