标准树高曲线的研制

Research on Universal Height Diameter Curves

以Ｓｕｃｈｕｍａｃｈｅｒ式：Ｈ＝１．３＋αｅ－ｂ／Ｄ为基础，分析了模型参数ａ、ｂ与林分因子（优势高Ｈｄ，断面积平均直径Ｄｇ等）的关系，结果表明：ａ与优势高Ｈｄ的关系最为密切，ｂ与林分因子间的相关不紧密。确立了ａ＝ａ１Ｈｂ１ｄ关系式，建立了标准树高曲线模型：Ｈ＝１．３＋ａ１Ｈｂ１ｄｅ－ｂ／Ｄ（简记为ｓｍｋ式）。分析表明：ａ１、ｂ２无地区显著差异，ｂ地区差异显著；作为近似，同一树种各地区间都取统一的ｂ值，估计效果仍可接受，综合模型行为分析及拟合效果比较，ｓｍｋ式优于其它模型。

Based on Schumacher height diameter relationship equation H=1.3+a e -b/D ,this paper deals with how the parameters( a and b )vary with different stand conditions.Results show that the asymptotic parameter ( a ) is closely correlated with the dominant height ( H d ).In the above equation: H=1.3+a e -b/D ,parameter a may be taken the form as a=a 1H b 1 d ,no other stand factor is necessary for being incorporated into.Then the universal height diameter curve is constructed H=1.3+a 1H b 1 d e -b/D . Further analyses show that parameters a 1 and b 1 are of no significant regional difference while parameter b is of significant regional difference.However,we may take the same value of parameter b in different regions for one tree species with lower but practically acceptable precision.