树木胸径和树高二元分布的建模与预测

doi:10.11707/j.1001-7488.20130611

Abstract

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

CLC Number:

S757

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.

References

Bailey R L, Dell T R. 1973. Quantifying diameter distributions with the Weibull function. Forest Science, 19(2): 97-104.

Bliss C I, Reinker K A. 1964. A lognormal approach to diameter distributions inven-aged stands. Forest Science, 10(3): 350-360.

Clutter J L, Bennett F A. 1965. Diameter distributions inold-field slash pine plantations. Georgia Forest Resources Council Report 13, 9.

Hafley W L, Buford M A. 1985. A bivariate model for growth and yield prediction. Forest Science, 31(1): 237-247.

Hafley W L, Schreuder H T. 1977. Statistical distributions for fitting diameter and height data ineven-aged stands. Canadian Journal of Forest Research, 7(3): 481-487.

Johnson N L. 1949a. Systems of frequency curves generated by methods of translation. Biometrika,36(1/2): 149-176.

Johnson N L. 1949b. Bivariate distributions based on simple translation systems. Biometrika,36(3/4): 297-304.

Kleinschmidt S, Baskerville G L. 1980. Foliage weight distribution in the upper crown of balsam fir. USDA Forest Service Research Paper NE-455, 8.

Knoebel B R, Burkhart H E. 1991. A bivariate approach to modeling forest diameter distributions at two points in time. Biometrics, 47(1): 241-253.

Li F, Zhang L, Davis C. 2002. Modeling the joint distribution of tree diameters and heights by bivariate generalized beta distribution. Forest Science, 48(1): 47-58.

Nelson T C. 1964. Diameter distribution and growth of loblolly pine. Forest Science, 10(1): 105-115.

Neter J, Kutner M H, Nachtsheim C J, et al. 1990. Applied linear regression models. 3rd ed. IRWIN, 720.

Plackett R L. 1965. A class of bivariate distributions. Journal of American Statistical Association, 60(310): 516-522.

Schreuder H T, Hafley W L. 1977. A useful distribution for describing stand structure of tree heights and diameters. Biometrics, 33(3): 471-478.

Solomon D S, Zhang L. 2002. Maximumsize-density relationships for mixed softwoods in the northeastern USA. Forest Ecology and Management, 155(1/3): 163-170.

Tewari V P, Gadow K V. 1999. Modeling the relationship between tree diameters and heights using S_BB distribution. Forest Ecology and Management, 119(1/3): 171-176.

Wang M, Rennolls K. 2005. Tree diameter distribution modeling: introducing the logit-logistic. Canadian Journal of Forest Research, 35(6): 1305-1313.

Wang M, Rennolls K. 2007. Bivariate distribution modeling with tree diameter and height data. Forest Science, 53(1): 16-24.

Wang M, Rennolls K, Tang S. 2008. Bivariate distribution modeling of tree diameters and heights: dependency modeling using copulas. Forest Science, 54(3): 284-293.

Wang M, Upadhyay A, Zhang L. 2010. Trivariate distribution modeling of tree diameter, height, and volume. Forest Science, 56(3): 290-300.

Zucchini W, Schmidt M, Gadow K V. 2001. A model for the diameter-height distribution in an uneven-aged beech forest and a method to assess the fit of such models. Silva Fennica, 35(2): 169-183.

[1]	Ding Zhenmin, Huang Xiujuan, Zhu Jiajia. Theoretical Validity of CVM on Assessment of the Recreation Value in Forest Scenic Areas: A Case Study of Fuzhou National Forest Park [J]. Scientia Silvae Sinicae, 2018, 54(8): 133-141.
[2]	Li Mingze, Guo Hongjun, Fan Wenyi, Zhen Zhen. Remote Sensing Analysis of Forest Site Quality in Daxing'an Mountain Based on GWR [J]. Scientia Silvae Sinicae, 2017, 53(6): 56-66.
[3]	Hang Jia, Shi Yun, An Jingjing, He Dahan. Selection of Microhabitat of Carabid Beetles (Coleoptera:Carabidae) in Different Ecological Restored Habitats in the Hilly and Gully Area of Loess Plateau, Ningxia, China [J]. Scientia Silvae Sinicae, 2016, 52(1): 71-79.
[4]	Huang Xiujuan, Lin Xiuzhi. Tourism Efficiency and Influence Factors of Chinese Forest Parks [J]. Scientia Silvae Sinicae, 2015, 51(2): 137-146.
[5]	Li Haikui;Zhao Pengxiang;Lei Yuancai;Zeng Weisheng. Comparison on Estimation of Wood Biomass Using Forest Inventory Data [J]. Scientia Silvae Sinicae, 2012, 48(5): 44-52.
[6]	Li Gen;Zhou Guangyi;Wu Zhongmin;Liang Ruiyou. Aboveground Biomass of a Naturaly-regenerated Schima superba Community at Xiaokeng of the Nanling Mountain [J]. Scientia Silvae Sinicae, 2012, 48(3): 143-147.
[7]	Li Haikui;Lei Yuancai;Zeng Weisheng. Forest Carbon Storage in China Estimated Using Forestry Inventory Data [J]. Scientia Silvae Sinicae, 2011, 47(7): 7-12.
[8]	Zeng Weisheng;Tang Shouzheng. Goodness Evaluation and Precision Analysis of Tree Biomass Equations [J]. Scientia Silvae Sinicae, 2011, 47(11): 106-113.
[9]	Xiao Yundan;Ju Hongbo;Zhang Xiongqing;Ji Ping. Relationship between Fire-Danger Weather and Forest Fire in Qiannan Area [J]. Scientia Silvae Sinicae, 2011, 47(10): 128-133.
[10]	Zhang Jun;Ge Ying;Jiang Bo;Chang Jie;Yuan Weigao;Zhu Jinru;Qi Lianzhong. Carbon Storage Efficiency of Cunninghamia lanceolata Ecological Service Forest in Zhejiang [J]. Scientia Silvae Sinicae, 2010, 46(6): 22-26.
[11]	Zeng Lixiong.;Wang Pengcheng.;Xiao Wenfa;Wan Rui.;Huang Zhilin;Pan Lei.. Allocation of Biomass and Productivity of Main Vegetations in Three Gorges Reservoir Region [J]. Scientia Silvae Sinicae, 2008, 44(8): 16-22.
[12]	Yang Chunhua;Zhou Xiaoping;Wang Xiaoming. Regression Models of Above-Ground Biomass of Fargesia nitida in Dengsheng Area in Wolong Nature Reserve [J]. , 2008, 44(3): 113-123.
[13]	Deng Xiangwen;Kang Wenxing;Tian Dalun;Xiang Wenhua;Yan Wende. Runoff Changes in Chinese Fir Plantations at Different Age Classes,Huitong,Hunan Province [J]. Scientia Silvae Sinicae, 2007, 43(06): 1-6.
[14]	Yang Zhongqi;Wang Xiaoyi;Wang Chuanzhen;Qiao Xiurong;Pang Jianjun. Studies on Utilizing Parasitoid Chouioia cunea Yang (Hymenoptera: Eulophidae) for Sustainable Control of Fall Webworm [J]. Scientia Silvae Sinicae, 2005, 41(5): 72-80.

Modeling and Predicting Bivariate Distributions of Tree Diameter and Height

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 14

Recommended Articles

Metrics

Comments