林窗模型中树高直径关系方程分析——以小兴安岭红松林主要树种为例

Equations Related Tree Height to Diameter in Forest Gap Models: Example for Main Species of Korean Pine Forest in the Lesser Xing′an Mountains

为了更准确地描述树高与直径的关系，文章综合分析了广泛应用于林窗模型中的四个数学方程，即二次曲线、幂函数方程、理查德方程和单分子方程。通过理论分析和对红松林内主要树种树高和直径关系的非线性回归分析及预测精度检验后，结果表明，理查德方程和单分子方程是林窗模型中描述树高和直径关系的最优模型。

Parabolic curve function, power function, Richards equation and single molecular equation, related tree height to diameter at breast height and widely used in forest gap model, were analysed. According to theoretic rules, the authors analysed and fitted them using the non-linear least squared method, and tested the predictive precision. The results show that Richards and single molecular equations are the most suitable equations related tree height to diameter.