林木生长与养分动态模型研究 Ⅱ.杉木蓄积生长方程

Dynamic Models of Forest Growth and Nutrition Ⅱ. Volume Growth Equation

在杉木直径生长方程Ｄ＝Ｄｍｔ／（Ｋ＋ｔ）的基础上，进一步提出了杉木蓄积生长方程：Ｙ＝Ｙｍｔ３／（Ｋ＋ｔ）３．蓄积方程和直径方程有一个共同的参数——林木生长特征系数Ｋ，这一特征系数Ｋ为杉木蓄积生长曲线的拐点．检验表明，蓄积Ｙ的１／３次方与直径Ｄ基本保持线性相关。

Based on the tree diameter growth ( D ) equation, D = D m t /( K+t ), a new equation was derived for describing the tree volume growth ( Y ) with respect to the tree age ( t ) for China fir forest, Y=Y m t 3/( K+t ) 3. These two equations share a common parameter K , defined as forest growth characteristic coefficient, which is the turning point of the volume growth curve. Analytical results confirm the basic linear relationship between D and the cubic root of Y , given by each equation at different tree growing stages. Correlation analyses among the equation parameters, Y m (the upper limit of tree volume growth) and K , site condition S and stand density n indicated that the derived equation basically follows the natural law of China fir forest growth.