Abstract
The relative efficiencies of permanent-plot and point sampling estimators of forest volume growth are derived for completely random and clustered random tree spatial distributions. The relative efficiencies are found to be dependent on the spatial distribution and the relationship between tree volume growth and basal area. However, the relative efficiencies are independent of the area of the sample plot, the basal area factor of the sample point, and the average number of trees per unit land area. The plot sampling estimator is always more efficient if tree volume growth is independent of, or tends to vary inversely with, basal area. If tree volume growth tends to vary in proportion to basal area, there exists a critical coefficient of correlation that determines which estimator is more efficient. The point sampling estimator is more efficient if and only if the coefficient of correlation between tree volume growth and basal area exceeds the critical coefficient. The critical coefficient, which is always greater than zero and less than one, approaches zero as the spatial distribution becomes more clustered.
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