A functional-structural model for adults of Pinus tabulaeformis based on GreenLab

doi:10.3724/SP.J.1258.2011.00422

Abstract

Abstract:

Aims In functional-structural plant modeling, trees are composed of elements at the organ level and combined physiological processes and morphological structures. When it is applied to adult trees, we must deal with complexity of topology and consider ring growth. Our objective was to apply the functional structural model GreenLab to adult Pinus tabulaeformis trees and parameterize and validate the model.
Methods Destructive sampling was done to collect detailed data including structure and biomass measurements from one 18-year and one 41-year P. tabulaeformis. To extend its application in adult tree growth analysis, we used substructure model to simplify tree topology and introduce ring biomass allocation parameter λ to mix Pressler model and common pool model to analyze tree ring growth in different ages and different environments. Direct parameters were attained from the measurement data, and hidden parameters of the model were calibrated using the generalized least squares method. The model was validated by comparing simulation data with observed data and comparing simulation data to data calculated by empirical model.
Important findings Simulations of P. tabulaeformis growth based on the fitted parameters were reasonable. The coefficients of determination of linear regression equations between observations and predictions ranged from 0.84 to 0.98. The coefficient of determination of linear regression equations between GreenLab simulation data and empirical simulation data was 0.95. The results showed that the GreenLab model can be a new tool to simulate tree biomass at different growth cycles.

Key words: functional-structural tree modeling, Pinus tabulaeformis, ring growth, topological structure

GUO Hong, LEI Xiang-Dong, Veronique LETORT, LU Yuan-Chang. A functional-structural model for adults of Pinus tabulaeformis based on GreenLab[J]. Chin J Plant Ecol, 2011, 35(4): 422-430.

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URL: https://www.plant-ecology.com/EN/10.3724/SP.J.1258.2011.00422

https://www.plant-ecology.com/EN/Y2011/V35/I4/422

Figures/Tables 10

References 16

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参数 Parameter	含义 Meaning	属性 Trait
		18年生 18-year-old				41年生 41-year-old
		PA₁	PA₂	PA₃	PA₄	PA₁	PA₂	PA₃	PA₄
P_e	节间汇强 Internode sink	0.10	0.11	0.03	0.01	0.10	0.05	0.02	0.003
P_a	针叶汇强 Needle sink	1.00	0.37	0.16	0.23	1.00	0.44	0.35	0.01
b_e	节间的比例系数 Scale coefficient of internodes		26.51	29.19	33.99		26.30	33.33	32.81
β	节间的形状系数 Form coefficient of internodes		0.04	-0.20	-0.36		-0.02	0.20	0.36
SLW	比叶重 Specific leaf weight	0.08 g·cm^-2

参数 Parameter	含义 Meaning	属性 Trait
		18年生 18-year-old				41年生 41-year-old
		PA₁	PA₂	PA₃	PA₄	PA₁	PA₂	PA₃	PA₄
P_e	节间汇强 Internode sink	0.10	0.11	0.03	0.01	0.10	0.05	0.02	0.003
P_a	针叶汇强 Needle sink	1.00	0.37	0.16	0.23	1.00	0.44	0.35	0.01
b_e	节间的比例系数 Scale coefficient of internodes		26.51	29.19	33.99		26.30	33.33	32.81
β	节间的形状系数 Form coefficient of internodes		0.04	-0.20	-0.36		-0.02	0.20	0.36
SLW	比叶重 Specific leaf weight	0.08 g·cm^-2

参数 Parameter	含义 Meaning	18年生 18-year-old		41年生 41-year-old
参数 Parameter	含义 Meaning	参数值 Value	变异系数 CV (%)	参数值 Value	变异系数 CV (%)
r	水力阻抗 Water resistance	2.97	0.46	3.40	2.07
P₁	年轮分配斜率 Slope for ring compartment	2.60	2.60	5.40	0.51
λ	年轮生物量分配参数 Ring biomass allocation parameter	0.73	0.20	0.40	0.35
S_p	植株投影面积 Plant projection area	2.85 m²	0.49	78.00 m²	1.00

参数 Parameter	含义 Meaning	18年生 18-year-old		41年生 41-year-old
参数 Parameter	含义 Meaning	参数值 Value	变异系数 CV (%)	参数值 Value	变异系数 CV (%)
r	水力阻抗 Water resistance	2.97	0.46	3.40	2.07
P₁	年轮分配斜率 Slope for ring compartment	2.60	2.60	5.40	0.51
λ	年轮生物量分配参数 Ring biomass allocation parameter	0.73	0.20	0.40	0.35
S_p	植株投影面积 Plant projection area	2.85 m²	0.49	78.00 m²	1.00

年龄 Age		均方根误差 Root mean square error	平均相对误差绝对值 Average absolute relative error	r
18年生 18-year-old	树干节间生物量 Stem internode biomass	28.90	0.44	0.90
	树高 Tree height	16.70	0.28	0.96
	树干节间直径 Stem internode diameter	0.89	0.24	0.95
	一级枝节间生物量 Internode biomass of 1st level branch	1.20	0.68	0.70
	二级枝节间生物量 Internode biomass of 2nd level branch	2.00	0.80	0.75
	三级枝节间生物量 Internode biomass of 3rd level branch	1.30	1.10	0.56
41年生 41-year-old	树干节间生物量 Stem internode biomass	50.50	0.45	0.84
	树高 Tree height	28.21	0.22	0.99
	树干节间直径 Stem internode diameter	1.35	0.16	0.98
	一级枝节间生物量 Internode biomass of 1st level branch	54.41	0.57	0.68
	二级枝节间生物量 Internode biomass of 2nd level branch	1.52	0.76	0.79
	三级枝节间生物量 Internode biomass of 3rd level branch	1.10	2.02	0.50