A derivation of the generalized Korf growth equation and its application

Based on the biological hypothesis of tree growth, the generafized Korf growth equation, was derived theoretically. From a standpoint of applications, the equation can be used in two ways associated with the power exponent of p, and stwo types of growth equations: the Korf-A (P> 1 ) and the Korf-B (0< p <1) were developed and between them, there is the Gompertz equation (P = 1) to separate each other. All of the three types of equations are independent. It was conduded that the Korf-A equation could be used to describe the growth of trees, of which inflection point is between O and A/e, while the Korf-B equation with the inffection point between A/e and A could be applied to describe the biological population growth. It was found that the Korf-A equation had a better property in describing the growth process of a tree or a stand and its applications to predicting height growth and stand self-thinning showed general good fitness.