Construction of the stand-level biomass model of Larix olgensis plantations based on stand and topographic factors

doi:10.12302/j.issn.1000-2006.202110024

JOURNAL OF NANJING FORESTRY UNIVERSITY ›› 2023, Vol. 47 ›› Issue (3): 129-136.doi: 10.12302/j.issn.1000-2006.202110024

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Construction of the stand-level biomass model of Larix olgensis plantations based on stand and topographic factors

SUN Yu(), LI Fengri, XIE Longfei, DONG Lihu()

College of Forestry, Northeast Forestry University, Harbin 150040, China

Received:2021-10-12 Accepted:2022-01-07 Online:2023-05-30 Published:2023-05-25
Contact: DONG Lihu E-mail:3057135814@qq.com;donglihu2006@163.com

Abstract

Abstract:

【Objective】Larix olgensis is widely distributed in northeastern China and it is considered to be an important afforestation and timber species with advantages like the rapid growth and cold tolerance. To accurately estimate the biomass of larch plantations, an additive system of biomass equations for larch plantations was established. 【Method】This study investigated larch plantations using the forestry inventory data of 304 larch plantations in Heilongjiang Province. An additive system of biomass equations was established using the method of non-linear and seemingly uncorrelated regression and employed a leave-one-out cross method for the model validation. 【Result】The stand basal area and stand mean tree height had a significant effect on the stem, branch, foliage and root biomass, the stand age and elevation also significantly affect the stem, foliage and root biomass. The branch rate and aspect had a significant effect on branch biomass. Foliage biomass was negatively correlated with stand mean tree height, stand age and elevation, whereas stem and root biomasses were positively correlated with the explanatory variables, and branch biomass was positively correlated with stand mean tree height. In terms of the additive system of the biomass equation, the adjusted coefficients of determination ( $R a d j 2$ ) were greater than 0.94, and the root mean square error (RMSE) was small. The average bias (MPE) and average bias percentage (MPE%) were both close to 0, the fit indices were all greater than 0.93, the average absolute bias (MAE) was small, and the average absolute bias percentage (MAE%) was less than 11%. 【Conclusion】The additive biomass model of larch plantations established in this study is effective for fitting and prediction, and can be used to predict the stand-level biomass of larch plantations in Heilongjiang Province.

Key words: larch (Larix olgensis) plantation, stand-level biomass, topographic factor, seemingly uncorrelated regression, regression heteroscedasticity, additive equation

CLC Number:

S758

SUN Yu, LI Fengri, XIE Longfei, DONG Lihu. Construction of the stand-level biomass model of Larix olgensis plantations based on stand and topographic factors[J]. JOURNAL OF NANJING FORESTRY UNIVERSITY, 2023, 47(3): 129-136.

Figures/Tables 6

Table 1

Table 2

Comparisons of fitting indexes of stand biomass models with or without topographic variables"

拟合指标 fitting index	树干生物量模型 stem biomass model		树枝生物量模型 branch biomass model		树叶生物量模型 foliage biomass model		树根生物量模型 root biomass model
拟合指标 fitting index	A	B	A	B	A	B	A	B
$R a d j 2$	0.961 4	0.963 9	0.945 9	0.948 9	0.943 1	0.947 9	0.952 9	0.956 0
RMSE	6.130 0	5.930 0	0.826 7	0.803 9	0.271 7	0.267 5	2.055 4	1.986 2

Table 2

Table 3

Goodness-of-fit statistics of the additive system of stand biomass equations for larch plantations"

各组分 component	估计值(标准误) estimate(SE)					$R a d j 2$	RMSE	权函数系数 weighted function coefficient
各组分 component	$β i 0$	$β i 1$	$β i 2$	$β i 3$	$β i 4$	$R a d j 2$	RMSE	权函数系数 weighted function coefficient
树干 stem	-0.818 1 (0.077 8)	0.009 2 (0.000 8)	0.600 8 (0.029 4)	0.980 5 (0.012 2)	0.040 2 (0.011 9)	0.962 2	6.060 4	1.404 0
树枝 branch	-1.301 4 (0.031 2)	0.167 8 (0.017 7)	1.014 6 (0.009 11)	-0.053 5 (0.015 8)		0.947 7	0.813 5	2.194 1
树叶 foliage	-0.198 8 (0.074 9)	-0.007 3 (0.000 7)	-0.483 9 (0.029 1)	1.023 2 (0.012 7)	-0.032 2 (0.011 2)	0.941 4	0.275 8	1.075 5
树根 root	-2.716 7 (0.086 8)	0.697 3 (0.037 7)	0.960 1 (0.015 4)	0.220 4 (0.025 2)	0.044 8 (0.014 6)	0.952 5	2.060 2	1.498 8
总量total						0.967 4	8.073 4	1.245 3

Table 3

Fig.1

Table 4

Table 5

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统计项 statistic item	指标 index	样本数 sample size	最小值 min	最大值 max	均值 mean	标准差 standard deviation
林分因子 stand factor	林分平均高/m stand mean tree height	304	5.00	22.80	12.61	3.96
	林分断面积/(m²·hm^-2) stand basal area	304	1.43	30.86	14.36	7.19
	林龄/a stand age	304	6.00	54.00	28.00	11.00
地形因子 topographic factor	海拔/m altitude	304	56.00	640.00	313.50	117.23
	坡向/(°) aspect	304	0.00	315.00	151.73	102.56
	坡度/(°) slope	304	0.00	27.00	6.47	5.07
	坡率值slope rate	304	0.00	0.51	0.11	0.09
	SLS	304	-0.40	0.40	-0.01	0.10
	SLC	304	-0.49	0.34	-0.05	0.11
各器官生物量 biomass of stand organs	林分树干生物量/(Mg·hm^-2) stand stem biomass	304	2.51	162.40	48.61	31.19
	林分树枝生物量/(Mg·hm^-2) stand branch biomass	304	0.54	16.71	6.35	3.56
	林分树叶生物量/(Mg·hm^-2) stand foliage biomass	304	0.39	5.85	2.44	1.14
	林分树根生物量/(Mg·hm^-2) stand root biomass	304	0.68	50.22	14.43	9.45
	林分总生物量/(Mg·hm^-2) stand total biomass	304	4.12	230.96	71.83	44.70

生物量 biomass	树干 stem	树枝 branch	树叶 foliage	树根 root	总量 total
树干stem	1
树枝branch	0.21	1
树叶foliage	-0.82	0.07	1
树根root	0.91	0.20	-0.83	1
总量total	0.99	0.31	-0.78	0.93	1

生物量 biomass	MAE/ (Mg·hm^-2)	MAE%	MPE/ (Mg·hm^-2)	MPE%	I_F
树干stem	4.071 1	9.316 7	-0.010 1	-0.020 7	0.961 1
树枝branch	0.449 2	5.935 7	0.039 2	0.616 7	0.946 9
树叶foliage	0.204 1	9.103 8	0.000 5	0.020 0	0.939 7
树根root	1.387 6	10.922 5	0.004 3	0.029 6	0.951 1
总量total	5.383 7	7.986 6	0.033 8	0.047 1	0.966 6

Construction of the stand-level biomass model of Larix olgensis plantations based on stand and topographic factors

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