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作 者 ：代忠迪；姜立春

期 刊 ：植物研究 2015年 35卷 4期 页码：583-589

关键词：树高mdash；胸径模型；生态区域；无限制模型；限制模型；兴安落叶松；

Keywords:height-diameter model, ecoregions, full model, reduced model, Larix gmelinii Rupr.,

摘 要 ：以大兴安岭3个不同生态区域的兴安落叶松伐倒木为对象，基于2 272株实测树高—胸径数据，分别选用12种树高曲线模型,对模型参数进行求解,并采用确定系数（R²）、误差(Bias)、均方根误差（RMSE）对模型精度进行检验。结果表明,Korf方程，唐守正方程和Hossfeld方程能较好地描述区域1和区域3的落叶松树高曲线;Richard方程，Weibull方程和Mitscherlich方程能较好地描述区域2的落叶松树高曲线。采用限制模型和无限制模型的假设检验方法对所选模型进行区域性检验。结果表明，任何2个区域的树高曲线都有显著不同，且区域2与区域1和区域3的树高曲线相差较大，区域1和区域3的树高曲线相差较小。不同生态区域树高曲线的错误应用会导致较大的预测误差。

Abstract:We used 12 height curve models using height-diameter data from felled trees for Larix gmelinii Rupr. from three ecoregions in Daxing’an Mountains Region to evaluate the coefficient determination, bias, and root mean square error for model accuracy and precision. The functions for Korf, Tang, Hossfeld were better for height curve from Region 1 and Region 3. Richard, Weibull, Mitscherlich were better for height curve from Region 2. We used full model and reduced model test method for regional comparison. The height curves were significantly different among different ecoregions. Height curve in Region 2 had significant difference with Regions 1 and 3, and height curve in Region 1 had small difference with Region 3. Incorrectly applying height curve in different ecoregions would result in larger prediction error.

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