太岳林区山核桃种群树高和胸径关系的数学模拟

建立平均高和平均胸径的模型，对提高森林科学经营水平是很有必要的．本文根据野外山核桃种群调查资料，利用10种数学回归模型对山核桃种群的平均树高和平均胸径间的关系进行回归分析．结果表明；山核桃种群平均高和平均胸径之间存在显著的相关关系，以H=a＋bD、H=a＋bD＋cD2、H=a＋bD＋cD2＋dD3和H=a＋b／D4种回归模型拟合的较好；经适用性检验，这4种回归模型适用度均比较高，但是，H=a＋bD＋cD2和H=a＋bD＋cD2＋dD3适合度最好，最具有代表性；不过，就精度而言，H=a＋bD＋cD2最高，H=a＋bD＋cD2＋dD3次之．这为在太岳林区开展山核桃种群群落结构研究，并进行森林经营和资源调查等提供重要的理论依据．

Mathematical Simulations of the Relationship between Height and DBH of Juglans mandshurica Population in Taiyue Forest Region

It is very essential for improving the forestry management scien- tificly to construct the model of average height(H)and average diameter at the breast height(DBH).Based on the field data gathered from Juglans mandshurica popula- tion,the relationship between H and DBH is regressed with ten mathematical mod- els.The results show an intimate correlation between average height and average DBH in Juglans mandshurica population,and the fitting of four regression models (H=a blnD,H=a bD cD~2,H=a bD cD~2 dD~3 and H=a b/D) is far better.In test of applicability,the four regression models above all exhibit a better applicability,while the best fitting are H=a bD cD~2,H=a bD cD~2 dD~3,which are the most representative ones.With regard to the precision,the highest is the bino- mial regression model,while the second is the cubic regression.This provides theoretical basis for further studies on the structure of Juglans mandshurica community,as well as the forest management and resource investigation in Taiyue Forest Region.