A Matrix Approach to the Management of Renewable Resources, with Special Reference to Selection Forests

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Abstract
The management of a renewable resource, classified by size classes, is considered. A mathematical model which predicts the stable structure of such a resource is developed. Data on the percentage recruitment of organisms from one class to the class above and data on the regeneration of young organisms are used as elements of a matrix. The largest real latent root of this matrix gives the maximum exploitation, and the latent vector associated with this root gives the stable structure. The model is illustrated by reference to a Scots pine forest in Inverness-shire. An iterative process for finding the latent root and vector is described. This matrix method is compared with a geometric method.

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