Using Segmented Modeling Approach to Construct Tree Volume and Biomass Equations for Larch in Northeastern China

DANG Yong-feng; WANG Xue-jun; ZENG Wei-sheng

Based on the tree volume and above-ground biomass data of larch (Larix spp.) in northeastern China, the compatible tree volume and above-ground biomass equations and biomass conversion functions were constructed using the error-in-variable simultaneous equations and segmented modeling approach. The results show that: (i) The error-in-variable simultaneous equations can ensure the compatibility of tree volume and biomass estimates, and the segmented modeling approach can resolve the problem of systematically biased estimation in small diameter classes for commonly-used tree volume and biomass equations; (ii) Through the one variable-based segmented equations, both the mean prediction errors (MPEs) of tree volume and above-ground biomass estimates for the whole data are less than 5%; and through the two variables-based segmented equations, the MPE of tree biomass estimates is about 4%, and the MPEs of tree volume estimates is less than 3%.

1. Academy of Forest Inventory and Planning, State Forestry Administration, Beijing 100714,China

Received Date: 2012-02-20

Available Online: 2012-10-11

Abstract: Based on the tree volume and above-ground biomass data of larch (Larix spp.) in northeastern China, the compatible tree volume and above-ground biomass equations and biomass conversion functions were constructed using the error-in-variable simultaneous equations and segmented modeling approach. The results show that: (i) The error-in-variable simultaneous equations can ensure the compatibility of tree volume and biomass estimates, and the segmented modeling approach can resolve the problem of systematically biased estimation in small diameter classes for commonly-used tree volume and biomass equations; (ii) Through the one variable-based segmented equations, both the mean prediction errors (MPEs) of tree volume and above-ground biomass estimates for the whole data are less than 5%; and through the two variables-based segmented equations, the MPE of tree biomass estimates is about 4%, and the MPEs of tree volume estimates is less than 3%.

HTML

Reference (27)

[1]	Parresol B R. Assessing tree and stand biomass: A review with examples and critical comparisons[J]. For Sci, 1999, 45(4): 573-593
[2]	Parresol B R. Additivity of nonlinear biomass equations[J]. Can J For Res, 2001, 31: 865-878
[3]	Bi H, Tumer J, Lambert M J. Additive biomass equations for native eucalypt forest trees of temperate Australia[J]. Trees, 2004, 18: 467-479
[4]	张会儒,赵有贤,王学力,等.应用线性联立方程组方法建立相容性生物量模型研究[J].林业资源管理,1999(6):63-67
[5]	胥辉,刘伟平.相容性生物量模型研究[J].福建林学院学报,2001,21(1):18-23
[6]	刑艳秋,王立海.基于森林调查数据的长白山天然林森林生物量相容性模型[J].应用生态学报,2007,18(1):1-8
[7]	程堂仁,冯菁,马钦彦,等.基于森林资源清查资料的林分生物量相容性线性模型[J].北京林业大学学报,2007,29(5): 110-113
[8]	程堂仁,冯菁,马钦彦,等.小陇山油松林乔木层生物量相容性线性模型[J].生态学杂志,2008,27(3):317-322
[9]	胥辉.一种与材积相容的生物量模型[J].北京林业大学学报,1999,21(5):32-36
[10]	骆期邦,曾伟生,贺东北,等.立木地上部分生物量模型的建立及其应用研究[J].自然资源学报,1999,14(3): 271-277
[11]	曾伟生,骆期邦,贺东北.兼容性立木生物量非线性模型研究[J].生态学杂志, 1999,18(4):19-24
[12]	唐守正,张会儒,胥辉.相容性生物量模型的建立及其估计方法研究[J].林业科学,2000,36(专刊1):19-27
[13]	张连金,曾伟生,唐守正.用带截距的非线性方程和分段建模方法对立木生物量估计的比较[J].林业科学研究, 2011, 24(4): 453-457
[14]	曾伟生,夏忠胜,朱松,等.贵州人工杉木相容性立木材积和地上生物量方程的建立[J]. 北京林业大学学报, 2011, 33(4):1-6
[15]	Tang S Z, Li Y, Wang Y H. Simultaneous equations, error-in-variable models, and model integration in systems ecology[J]. Ecological Modelling, 2001, 142: 285-294
[16]	Tang S Z, Wang Y H. A parameter estimation program for the error-in-variable model[J]. Ecological Modelling, 2002, 156:225-236
[17]	唐守正,李勇.生物数学模型的统计学基础[M].北京:科学出版社,2002
[18]	唐守正,郎奎建,李海奎.统计和生物数学模型计算(ForStat教程)[M].北京:科学出版社,2008
[19]	尹艳豹,曾伟生,唐守正.中国东北落叶松立木生物量模型研建[J].东北林业大学学报, 2010, 38(9): 23-26
[20]	李永慈,唐守正,李海奎,等.用度量误差模型方法编制相容的生长过程表和材积表[J].生物数学学报,2004,19(2): 199-204
[21]	李永慈,唐守正.带度量误差的全林整体模型参数估计研究[J].北京林业大学学报,2006,28(1): 23-27
[22]	骆期邦,宁辉,贺东北,等.二元立木材积动态模型研究[J].林业科学研究,1992,5(3):263-270
[23]	曾伟生.再论加权最小二乘法中权函数的选择[J].中南林业调查规划,1998,17(3):9-11
[24]	曾伟生,骆期邦,贺东北.论加权回归与建模[J].林业科学,1999,35(5):5-11
[25]	张会儒,唐守正,胥辉.关于生物量模型中的异方差问题[J].林业资源管理,1999(1):46-49
[26]	胥辉.生物量模型方差非齐性研究[J].西北林学院学报,1999,19(2):73-77
[27]	曾伟生,唐守正.立木生物量模型的优度评价和精度分析[J]. 林业科学, 2011, 47(11): 106-113

Using Segmented Modeling Approach to Construct Tree Volume and Biomass Equations for Larch in Northeastern China

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Proportional views