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从油松（Ｐｉｎｕｓｔａｂｕｌａｅｆｏｒｍ ｉｓＣａｒｒ．）的形态变异调查入手，提出了划分油松自然类型的主要依据是冠幅大小与树皮厚度。据此，将山西灵空山地区油松划分为窄冠细皮油松和宽冠粗皮油松两种自然类型，并分类型进行了生长测定。采用Ｆｉｓｈｅｒ判别分析，验证了对油松划分两种自然类型是正确的。还可应用判别函数Ｙ＝ ０．０６５３Ｘ１－ ４．０３６９Ｘ２＋ ０．０１２６Ｘ３ 与判据Ｙｃ＝ － ０．３６６８，判别调查地区的油松自然类型。经Ｆ检验判别函数的效果，达到了９０％ 的可靠性，表明采用判别分析划分自然类型是有效的。同时，经生长测定与综合比较使形态变异与生长特性联系起来，既揭示了油松形态变异与速生特性的关系，又肯定了两类型间之差异，证实了窄冠细皮油松确实为优良类型
Starting from the morphological survey of Pinus tabulaeformisCarr., The main basis for the classification of Pinus tabulaeformis naturalis is the size of crown and bark thickness. According to the above results, two natural types, Pinus tabulaeformis and Pinus tabulaeformis, were divided into three types, namely, Linggong Mountain in Shanxi Province. Fisher discriminant analysis was used to verify that it is correct to classify two natural types of Pinus tabulaeformis. The discriminant function Y = 0.0653X1 - 4.0369X2 + 0.0126X3 and the criterion Yc = - 0.3668 can also be applied to determine the natural type of Pinus tabulaeformis in the survey area. The result of F-test discriminant function has reached 90% reliability, indicating that it is effective to use discriminant analysis to classify natural types. At the same time, the relationship between morphological variation and growth characteristics was confirmed by the combination of growth assay and comprehensive comparison, which not only revealed the relationship between morphological variation and fast-growing characteristics of Pinus tabulaeformis, but also affirmed the difference between the two types. Types of