Using linear programming to improve unit planning on the Appalachian National Forests

Abstract

A linear programming model for multiple use was developed for the High Knob Unit of the Jefferson National Forest. The model was intended to be a pilot study for the development of similar models for other units in the Appalachians.

The model was developed to provide information about trade-offs between timber, recreational activities, and budgets during the 10 year planning period. Currently used estimates and "rules of thumb" were used as the means for relating the activities considered in the model. The objective function used was timber maximization and it was constrained by the activity and budget constraints.

The maximum possible timber volume that could be cut was found for the High Knob Unit by using only acreage constraints on the objective function. Then the constraints for the other activities were added, each of which being tied to the timber variables. An initial optimal solution was found which not only gave values for the amounts of the activities that would be best to produce but also where they were to occur on the ground. To provide information about trade-offs, a sensitivity analysis was done to provide a series of solutions for the High Knob Unit. These solutions were evaluated and recommendations were made for the High Knob Unit.

Benefits and limitations of the model were discussed as were the problems encountered in developing the High Knob LP. Suggestions for future study were also made.