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指出vonBertalanffy生长公式的局限性在于公式导出时所用假设“鱼的体重增加量同体重的2／3次方成比例，减少量同体重成比例”的根据不充分；其不足之处在于解方程时将变量l误为鱼的体长。本文作了更为一般的假设，即鱼的体重增加量同体重的P次方成比例；减少量同体重的q次方成比例。进而通过严格的数学推导，得出鱼的更为一般的生长方程w=w∞[1-e－k(s-s0)]r，使vonBertalanffy生长公式是该方程的特殊情形．
It is pointed out that the limitation of von Bertalanffy growth formula lies in the assumption that the formula used in the derivation of “the weight gain of fish is proportional to the 2/3 power of body weight and the reduction is proportional to body weight” is inadequate; The variable l mistaken for body length of fish. The general assumption made in this paper is that the weight gain of fish is proportional to the P-th power of weight; the reduction is proportional to the q-power of weight. Furthermore, through rigorous mathematical derivation, the more general growth equation of fish is obtained: w = w∞ [1-e-k (s-s0)] r, so that vonBertalanffy growth formula is a special case of this equation.