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李 辉. 马尾松地径与胸径关系模型的比选研究[J]. 浙江林业科技, 2020, 40(2): 71-76. DOI: 10.3969/j.issn.1001-3776.2020.02.011
引用本文: 李 辉. 马尾松地径与胸径关系模型的比选研究[J]. 浙江林业科技, 2020, 40(2): 71-76. DOI: 10.3969/j.issn.1001-3776.2020.02.011
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LI Hui. Comparison on Correlation Models for Ground Diameter and DBH of Pinus massoniana[J]. Journal of Zhejiang Forestry Science and Technology, 2020, 40(2): 71-76. DOI: 10.3969/j.issn.1001-3776.2020.02.011
Citation: LI Hui. Comparison on Correlation Models for Ground Diameter and DBH of Pinus massoniana[J]. Journal of Zhejiang Forestry Science and Technology, 2020, 40(2): 71-76. DOI: 10.3969/j.issn.1001-3776.2020.02.011
shu

马尾松地径与胸径关系模型的比选研究

Comparison on Correlation Models for Ground Diameter and DBH of Pinus massoniana

    摘要
  • 摘要: 为了研究马尾松Pinus massoniana 地径与胸径的相关性，于2019 年12 月，以东安县马尾松4 个近熟林样地的地径与胸径数据，先用SPSS 曲线回归分析中11 种数学模型进行拟合初判，初步选择相关系数R2 比较高的线性方程、二次曲线、三次曲线、幂函数4 种函数模型，然后对这四种函数模型方程进行SPSS 非线性回归分析。结果表明，采用高斯-牛顿迭代法推算的幂函数曲线方程y = 0.599 484x1.078 469 为最优拟合模型，其调整相关系数（R??2＝0.960 808）最大，拟合度最好，精度相对较高。采用高斯-牛顿迭代法推算出的幂函数模型方程要优于采用曲线直线化法的原幂函数模型方程的拟合效果。经模型适用性检验，总相对差（RS）=－1.34%，－5% < RS < 5%，绝对平均百分比误差（MAPE）=7.6% < 10%，均在合理范围内。

     

    Abstract: In December 2019, 4 sample plots were established in near-maturing Pinus massoniana forest in Dong’an county, Hunan province for determination of ground diameter and DBH. 11 mathematical models in SPSS curve regression analysis were fitting to make compare. The result demonstrated that 4 models had higher R2, like conic, cubic curve, power function. Nonlinear regression analysis of SPSS on these models showed that the power function curve equation by Gauss-Newton method was the optimal fitting model, y = 0.599 484x1.078 469, with adjustment of the correlation coefficient (R??2= 0.960808) the largest. Fitness test of the model indicated that the total relative difference was -1.34%, between -5% to 5%, with absolute mean percentage error of 7.6%.

     

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