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    郑聪慧, 贾黎明, 孙操稳, 魏松坡, 段劼. 华北地区栓皮栎根径相关模型及材积表研建[J]. 北京林业大学学报, 2015, 37(11): 26-32. DOI: 10.13332/j.1000-1522.20150108
    引用本文: 郑聪慧, 贾黎明, 孙操稳, 魏松坡, 段劼. 华北地区栓皮栎根径相关模型及材积表研建[J]. 北京林业大学学报, 2015, 37(11): 26-32. DOI: 10.13332/j.1000-1522.20150108
    ZHENG Cong-hui, JIA Li-ming, SUN Cao-wen, WEI Song-po, DUAN Jie.. Establishment of basal diameter relevant models and volume table for Quercus variabilis in northern China.[J]. Journal of Beijing Forestry University, 2015, 37(11): 26-32. DOI: 10.13332/j.1000-1522.20150108
    Citation: ZHENG Cong-hui, JIA Li-ming, SUN Cao-wen, WEI Song-po, DUAN Jie.. Establishment of basal diameter relevant models and volume table for Quercus variabilis in northern China.[J]. Journal of Beijing Forestry University, 2015, 37(11): 26-32. DOI: 10.13332/j.1000-1522.20150108

    华北地区栓皮栎根径相关模型及材积表研建

    Establishment of basal diameter relevant models and volume table for Quercus variabilis in northern China.

    • 摘要: 基于华北地区149株栓皮栎解析木的数据,先建立了3个表现良好的独立模型,包括带皮胸径--去皮根径线性模型、带皮胸径--树高幂函数模型和基于自然对数转换变量的带皮胸径、树高--去皮材积线性模型。之后基于这3个独立模型,运用误差变量联立方程组的方法建立了1个相容性根径--胸径--树高--材积模型系统,并由此得到基于根径、胸径和胸径树高的相容材积式(表)。相容性模型系统中,各模型的6项统计指标、模型残差图、Shapiro Wilk检验及独立数据检验结果表明:各模型均无异方差现象,模型残差服从正态分布,且各模型在拟合阶段和检验阶段的残差范围都较因变量的范围窄。上述材积式(表)的精度在96.9%以上,可用于华北地区栓皮栎林木材积的估测,且为华北地区栓皮栎林区解决和处理盗伐、滥伐案件提供依据。带皮胸径-树高模型作为森林生长与收获模型系统的一个重要组分,可被用来在已知胸径的情况下推算平均树高,进而推算森林蓄积量和生物量等因子,对森林调查具有重要意义。本研究建立的模型及数表仅适用于胸径范围在5~21 cm之间的华北地区栓皮栎树木的估测。

       

      Abstract: Based on the data of 149 analytical sample trees, we established three well-performed independent models: 1) a linear model between diameter at breast height outside bark (DBHob) and basal diameter inside bark (BDib) (DBHob-BDib), 2) a power function model between DBHob and tree height (H) (DBHob-H), and 3) a linear model between DBHob, H and volume inside bark (Vib) (DBHob, H-Vib) based on the variables after natural logarithmic transformation. Then, based on these three independent models, a compatible BDib-DBHob-H-Vib model system was established with the method of simultaneous equations with error variables, and thus compatible volume equations (table) based on BDib-DBHob and DBHob-H were obtained. According to the results of six statistical indexes, residual plots, Shapiro Wilk tests and independent data tests for each model, heteroscedasticities were not detected in these models and residuals of these models followed a normal distribution. Ranges of residuals of these models in fitting and testing phases were very narrow, compared with the ranges of dependent variables. The volume table had promising precisions, thus they could be used for estimating Quercus variabilis volume and can provide support for dealing with illegal logging or deforestation cases of cork oak forests in northern China. As an important component of forest growth and yield model system, DBHob-H model can be used to estimate average tree height given a known DBHob, and on this basis, forest volume and biomass could be calculated eventually. Therefore, the DBHob-H model is very important in forest survey. We should point out that models established in this study are only applicable for cork oak trees in northern China with a DBHob range of 5-21 cm.

       

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