基于2层次线性混合模型的落叶松木材密度模拟

doi:10.11707/j.1001-7488.20130713

林业科学 ›› 2013, Vol. 49 ›› Issue (7): 91-98.doi: 10.11707/j.1001-7488.20130713

基于2层次线性混合模型的落叶松木材密度模拟

李耀翔¹, 姜立春²

1. 东北林业大学工程技术学院哈尔滨 150040;
2. 东北林业大学林学院哈尔滨 150040

收稿日期:2012-08-15 修回日期:2012-11-16 出版日期:2013-07-25 发布日期:2013-07-23
通讯作者: 姜立春
基金资助:
中央高校基本科研业务费专项资助(DL12DA01);国家"十二五"科技支撑课题(2012BAD22B0202);国家自然科学基金项目(31170591)。

Modeling Wood Density with Two-Level Linear Mixed Effects Models for Dahurian Larch

Li Yaoxiang¹, Jiang Lichun²

1. College of Engineering and Technology, Northeast Forestry University Harbin 150040;
2. College of Forestry, Northeast Forestry University Harbin 150040

Received:2012-08-15 Revised:2012-11-16 Online:2013-07-25 Published:2013-07-23

摘要/Abstract

摘要：

以黑龙江省七台河市林业局金沙林场9株人工落叶松432个样品密度数据为例,利用逐步回归技术构建落叶松木材密度模型:WD=β₁+β₂RN+β₃RN²+β₄h。利用S-PLUS软件中的LME过程,分别考虑单水平和多水平效应,拟合线性木材密度混合效应模型。结果表明:基于单水平和多水平效应的混合模型拟合精度高于传统的基本模型,并且考虑单水平树高效应和2层次效应时的混合模型精度高于考虑单水平样木效应影响的混合模型。模型检验结果表明:混合效应模型不但能反映总体平均木材密度变化趋势,还能反映分组之间的差异。

关键词: 木材密度, 两水平线性混合模型, 落叶松

Abstract:

In this study, the sample data was based on 432 samples of 9 trees from dahurian larch(Larix gmelinii)plantations located in Qitaihe Forest Bureau in Heilongjiang Province. The stepwise regression techniques were used to develop wood density model: WD=β₁+β₂RN+β₃RN²+β₄h. Then, the developed model was fitted using single level and multilevel linear mixed-effects modeling approach based on LME procedure of S-PLUS software. The mixed effects models showed better model fitting results than basic model whatever considering single level and multilevel linear mixed effects. Moreover, the mixed effects model considering height effects and both effects showed more precision than that considering individual tree effects. Model test indicated that mixed effects models not only showed the mean trends of wood density, but also showed the variations among groups.

Key words: wood density, two-level linear mixed model, dahurian larch (Larix gmelinii)

中图分类号:

S757

李耀翔, 姜立春. 基于2层次线性混合模型的落叶松木材密度模拟[J]. 林业科学, 2013, 49(7): 91-98.

Li Yaoxiang, Jiang Lichun. Modeling Wood Density with Two-Level Linear Mixed Effects Models for Dahurian Larch[J]. Scientia Silvae Sinicae, 2013, 49(7): 91-98.

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基于2层次线性混合模型的落叶松木材密度模拟

Modeling Wood Density with Two-Level Linear Mixed Effects Models for Dahurian Larch

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