Three-dimensional forest growth model relating tree size, tree number, and stand age: relation to previous growth models and to self-thinning
1988
McFadden, G. | Oliver, C.D.
A generalized three-dimensional model for tree growth containing tree size, number of trees per area, and stand age on the three axes can be shown to incorporate three previous models in the theoretical absence of differentiation and self-thinning. The previous models, each incorporating two of the three axes, are: the sigmoid growth models of tree size/stand age; the relation of tree size (volume or diameter)/tree number; and the reverse-J-shaped mortality relation of maximum tree number/stand age. Information developed from one two-dimensional model can be transferred to the other models using the three-dimensional response surface to interpret the growth trajectory of stands undergoing differentiation and self-thinning. For. Sci. 34(3):662-676.
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