树木胸径和树高二元分布的建模与预测

doi:10.11707/j.1001-7488.20130611

林业科学 ›› 2013, Vol. 49 ›› Issue (6): 74-82.doi: 10.11707/j.1001-7488.20130611

树木胸径和树高二元分布的建模与预测

金星姬¹, 李凤日¹, 贾炜玮¹, 张连军²

1. 东北林业大学林学院哈尔滨 150040;
2. 美国纽约州立大学环境科学和林业学院锡拉丘兹 NY13210

收稿日期:2012-08-06 修回日期:2012-10-23 出版日期:2013-06-25 发布日期:2013-07-16
通讯作者: 李凤日
基金资助:
Supported by the Scientific Research Funds for Forestry Public Welfare of China(201004026); Ministry of Education "Overseas Experts and Scholars" project.

Modeling and Predicting Bivariate Distributions of Tree Diameter and Height

Jin Xingji¹, Li Fengri¹, Jia Weiwei¹, Zhang Lianjun²

1. School of Forestry, Northeast Forestry University Harbin 150040;
2. College of Environmental Science and Forestry, State University of New York (SUNY-ESF) Syracuse, NY13210,USA

Received:2012-08-06 Revised:2012-10-23 Online:2013-06-25 Published:2013-07-16

摘要/Abstract

摘要：

采用二元广义β分布(GBD-2)和Johnson's S_BB分布对美国东北部云冷杉林的水平和垂直分布进行拟合。拟合优度检验结果表明: 无论是胸径、树高边缘分布和联合分布,还是树高和材积的预估,GBD-2分布的拟合效果均比S_BB分布要好。使用常用的林分变量如林分密度、公顷断面积、林分平均胸径、平均树高、平均冠幅和冠长建立回归模型对GBD-2分布的参数进行估计,表明未来林分水平和垂直结构可以由这些变量进行预测。所建立的二元分布模型可以为研究树木胸径、树高的实际关系和动态提供信息。

关键词: 二元广义β分布(GBD-2), Johnson's S_BB分布, 拟合优度, 林分水平和垂直分布, 回归模型

Abstract:

The horizontal and vertical structures of the spruce-fir stands in the northeast, USA were modeled by the bivariate generalized beta distribution (GBD-2) and Johnson's S_BB distribution. The goodness-of-fit tests indicated that GBD-2 performed better than did Johnson's S_BB in fitting both marginal and joint distributions of tree diameter and height, and in predicting tree height and volume. Regression models were developed for predicting the parameters of the GBD-2 distributions using ordinary stand variables as predictors, such as stand density, basal area, mean tree diameter, mean tree height, and mean crown length and width. Thus, the future stand horizontal and vertical structures can be predicted when the future values of these stand variables were available. The bivariate distribution models developed in this study will provide useful information on the realistic relationships and dynamics of tree diameter and height.

Key words: bivariate generalized beta distribution(GBD-2), Johnson's S_BB, goodness-of-fit, stand horizontal and vertical structures, regression model

中图分类号:

S757

金星姬, 李凤日, 贾炜玮, 张连军. 树木胸径和树高二元分布的建模与预测[J]. 林业科学, 2013, 49(6): 74-82.

Jin Xingji, Li Fengri, Jia Weiwei, Zhang Lianjun. Modeling and Predicting Bivariate Distributions of Tree Diameter and Height[J]. Scientia Silvae Sinicae, 2013, 49(6): 74-82.

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树木胸径和树高二元分布的建模与预测

Modeling and Predicting Bivariate Distributions of Tree Diameter and Height

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