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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。
In order to describe the relationship between tree height and diameter more accurately, the paper comprehensively analyzes four mathematical equations which are widely used in the Gap model, that is, quadratic curve, power function equation, Richard equation and single-molecule equation. Through theoretical analysis and nonlinear regression analysis of relationship between tree height and diameter of main tree species in Korean pine forest and prediction accuracy test, the results show that Richard equation and single-molecule equation are the most important factors that describe the relationship between tree height and diameter Excellent model.