NESTED REGRESSION FOR ESTABLISHING TREE BIOMASS EQUATIONS

doi:10.3773/j.issn.1005-264x.2009.02.010

Abstract

Abstract:

Aims The objective was to introduce a simplified method called nested regression for quick establishment of allometric models for tree biomass.

Methods Main branches at all orders were used as basic sample units. The biomass of a branch was obtained by summing that of its sub-branches or sub-main branches, either observed or estimated. Thus the span of branch diameter for the equation was extended. The branch was dissected into main braches, and a main branch is the axis of a branch at any order. Biomass equations were established for main branches, branches and individual trees, progressively. By summing the values of main braches, the biomass of a branch in a higher order was obtained.

Important findings Because of data nesting, i.e., small branches were encompassed in their upper-order branches, the measured sample was reduced to a minimum, making the method time- and cost-effective. Satisfactory accuracy of predicted values was shown by testing with observed data.

Key words: biomass, branch, allometric equation, nested sampling

LIU Qi-Jing. NESTED REGRESSION FOR ESTABLISHING TREE BIOMASS EQUATIONS[J]. Chin J Plant Ecol, 2009, 33(2): 331-337.

Add to citation manager EndNote|Ris|BibTeX

URL: https://www.plant-ecology.com/EN/10.3773/j.issn.1005-264x.2009.02.010

https://www.plant-ecology.com/EN/Y2009/V33/I2/331

Figures/Tables 5

References 27

[1]	Behera SK, Misra MK (2006). Aboveground tree biomass in a recovering tropical sal ( Shorea robusta Gaertn. f.) forest of Eastern Ghats, India. Biomass and Bioenergy, 30,509-521.
[2]	Brandeis TJ, Delaney M, Parresol BR, Royer L (2006). Development of equations for predicting Puerto Rican subtropical dry forest biomass and volume. Forest Ecology and Management, 233,133-142.
[3]	Colea TG, John J, Ewel JJ (2006). Allometric equations for four valuable tropical tree species. Forest Ecology and Management, 229,351-360.
[4]	Ibrahim S (1995). Estimating branchwood biomass of tropical hill-forest stand. Bioresource Technology, 52,53-57.
[5]	Ingerslev M (1999). Above ground biomass and nutrient distribution in a limed and fertilized Norway spruce ( Picea abies) plantation Part I. Nutrient concentrations. Forest Ecology and Management, 119,13-20.
[6]	Jepsen MR (2006). Above-ground carbon stocks in tropical fallows, Sarawak, Malaysia. Forest Ecology and Management, 225,287-295.
[7]	Jiang ZK (蒋宗垲) (2000) Biomass and its allocation in a 34-year-old Fokienia hodginsii plantation. Journal of Northeast Forestry University (东北林业大学学报), 28,16-19. (in Chinese with English abstract)
[8]	Li XR (李轩然), Liu QJ (刘琪璟), Chen YR (陈永瑞), Hu LL (胡理乐), Yang FT (杨风亭) (2006). Above ground biomass of three conifers in Qianyanzhou plantation. Chinese Journal of Applied Ecology (应用生态学报), 17,1382-1388. (in Chinese with English abstract)
[9]	Li XR (李轩然), Liu QJ (刘琪璟), Hu LL (胡理乐), Ma ZQ (马泽清) (2006). Calculation of Pinus elliotii biomass: a comparison of different methods. Chinese Journal of Ecology (生态学杂志), 25,1594-1598. (in Chinese with English abstract)
[10]	Li YD (李意德) (1993). Comparative analysis for biomass measurement of tropical mountain rain forest in Hainan island, China. Acta Ecolgica Sinica (生态学报), 13,313-320. (in Chinese with English abstract)
[11]	Liu F (刘芳), Tu CJ (涂传进), Wu LD (吴良栋), Lin TL (林同龙) (2001). Biomass and nutrient elements distribution under agerd Chinese fir plantation. Journal of Central South Forestry University (中南林学院学报), 21,41-45. (in Chinese with English abstract)
[12]	Lü Y (吕勇), Liu H (刘辉), Wang CX (王才喜) (2001) Comparison of the different measurement methods of stand volume. Journal of Central South Forestry University (中南林学院学报), 21,50-53. (in Chinese with English abstract)
[13]	Nelson BW, Mesquita R, Pereira JLG, de Souza SGA, Batista GT, Couto LB (1999). Allometric regressions for improved estimate of secondary forest biomass in the central Amazon. Forest Ecology and Management, 117,149-167.
[14]	Nordh EE, Verwijst T (2004). Above-ground biomass assessments and first cutting cycle production in willow ( Salix sp.) coppice-a comparison between destructive and non-destructive methods. Biomass and Bioenergy, 27,1-8.
[15]	Pan P (潘攀), Mu CL (慕长龙), Mu JY (牟菊英), Su YM (宿以明), He F (何飞), Liu XL (刘兴良), Wang M (汪明), Lan H (兰海), Feng YC (冯永超) (2005). Research on biomass and productivity of Pinus radiata plantations. Journal of Sichuan Forestry Science and Technology (四川林业科技), 26,21-27. (in Chinese with English abstract)
[16]	Porté A, Trichet P, Bert D, Loustau D (2002). Allometric relationships for branch and tree woody biomass of Maritime pine ( Pinus pinaster Aït.). Forest Ecology and Management, 158,71-83.
[17]	Sah JP, Ross MS, Koptur S, Snyder JR (2004). Estimating aboveground biomass of broadleaved woody plants in the understory of Florida Keys pine forests. Forest Ecology and Management, 203,319-329.
[18]	Son Y, Hwang JW, Kim ZS, Lee WK, Kim JS (2001). Allometry and biomass of Korean pine ( Pinus koraiensis) in central Korea. Bioresource Technology, 78,251-255. DOI URL PMID
[19]	Tang JW (唐建维), Zhang JH (张建侯), Song QS (宋启示), Huang ZY (黄自云), Li ZN (李自能), Wang LF (王利繁), Zeng R (曾荣) (2003). Biomass and net primary productivity of artificial tropical rainforest in Xishuangbanna. Chinese Journal of Applied Ecology (应用生态学报), 14,1-6. (in Chinese with English abstract)
[20]	Ter-Mikaelian MT, Korzukhin MD (1997). Biomass equations for sixty-five North American tree species. Forest Ecology and Management, 97,1-24.
[21]	Vann DR, Palmiotto PA, Strimbeck GR (1998). Allometric equations for two South American conifers: test of a non-destructive method. Forest Ecology and Management, 106,55-71.
[22]	Wang C (2006). Biomass allometric equations for 10 co-occurring tree species in Chinese temperate forests. Forest Ecology and Management, 222,9-16.
[23]	Woolley TJ, Harmon ME, O’Connell KB (2007). Estimating annual bole biomass production using uncertainty analysis. Forest Ecology and Management, 253,202-210.
[24]	Yang ZW (杨宗武), Tan FL (谭芳林), Xiao XX (肖祥希), Chen LS (陈林生), Zhuo KF (卓开发) (2000). A study on biomass of Fokienia hodginsii plantation. Scientia Silvae Sinicae (林业科学), 36,120-124. (in Chinese with English abstract)
[25]	Zhang XB (张希彪), Shangguan ZP (上官周平) (2005). The bio-cycle patterns of nutrient elements and stand biomass in forest communities in hilly loess regions. Acta Ecologica Sinica (生态学报), 25,327-337. (in Chinese with English abstract)
[26]	Zheng SL (郑少玲) (2001) Determination of the cone biomass of Pinus taiwanensis plantation. Journal of Fujian Forestry Science and Technology (福建林业科技), 28,65-67. (in Chinese with English abstract)
[27]	Zianis D, Mencuccini M (2004). On simplifying allometric analyses of forest biomass. Forest Ecology and Management, 187,311-332.

方法 Method	要素 Item	方程 Equation
实测值法	叶 Leaf	0.007 4D^{2.318 3}
By measuring	枝 Brach	0.013 7D^{2.368 3}
	干 Bole	0.042 0D^{2.345 5}
	总 Total	0.063 2D^{2.349 6}
估计值法	叶 Leaf	0.007 0D^{2.250 7}
By estimation	枝 Brach	0.016 3D^{2.250 8}
	干 Bole	0.022 6D^{2.595 3}
	总 Total	0.041 3D^{2.503 1}

方法 Method	要素 Item	方程 Equation
实测值法	叶 Leaf	0.007 4D^{2.318 3}
By measuring	枝 Brach	0.013 7D^{2.368 3}
	干 Bole	0.042 0D^{2.345 5}
	总 Total	0.063 2D^{2.349 6}
估计值法	叶 Leaf	0.007 0D^{2.250 7}
By estimation	枝 Brach	0.016 3D^{2.250 8}
	干 Bole	0.022 6D^{2.595 3}
	总 Total	0.041 3D^{2.503 1}

项目 Item	因变量 Dependent variable	a	b	R
叶片 Leaf	实测值法模拟值	2.768 8	0.637 5	0.76
枝条 Branch	Simulated with	5.704 7	0.623 5	0.79
全株 Total	measured value	8.637 9	0.820 9	0.98
叶片 Leaf	估计值法模拟值	2.225 2	0.479 3	0.77
枝条 Branch	Simulated with	5.136 9	0.798 3	0.79
全株 Total	estimated value	5.515 1	0.897 7	0.98

项目 Item	因变量 Dependent variable	a	b	R
叶片 Leaf	实测值法模拟值	2.768 8	0.637 5	0.76
枝条 Branch	Simulated with	5.704 7	0.623 5	0.79
全株 Total	measured value	8.637 9	0.820 9	0.98
叶片 Leaf	估计值法模拟值	2.225 2	0.479 3	0.77
枝条 Branch	Simulated with	5.136 9	0.798 3	0.79
全株 Total	estimated value	5.515 1	0.897 7	0.98