Open AccessA NEW LOOK AT WHOLE‐FOREST MODELING
Author(s) -
Reed William J.,
Errico Darrell
Publication year - 1989
Publication title -
natural resource modeling
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.28
H-Index - 32
eISSN - 1939-7445
pISSN - 0890-8575
DOI - 10.1111/j.1939-7445.1989.tb00088.x
Subject(s) - mathematical optimization , equivalence (formal languages) , simple (philosophy) , computer science , linear programming , scheduling (production processes) , dual (grammatical number) , mathematics , art , philosophy , literature , epistemology , discrete mathematics
The harvest scheduling problem customarily known as Model II can be reformulated using a dynamic equation, and solved in two ways using linear programming. Viewing the problem in this way offers many insights and is convenient for deriving extensions to the basic problem. Extensions include the risk of catastrophic loss through fire, the problem of a changing land base, and the imposition of area constraints on the forest. An economic interpretation of certain dual variables in one of the solution methods is given. The mathematical equivalence of the standard Model II linear program, and the dynamic equation formulation, is demonstrated and the numerical efficiency of the various methods is examined for simple problems.