Comparison of three models of forest biomass estimation

doi:10.3724/SP.J.1258.2011.00402

Abstract

Abstract:

Aims Quantitative estimation of forest biomass is significant to studies of global carbon storage and carbon cycle. Our objective is to develop models to estimate forest biomass accurately.
Methods Multi-stepwise regression model, traditional back propagation (BP) neutral network model and BP neutral network model based on Gaussian error function (Erf-BP) were developed to estimate forest biomass in Changbai Mountain of Heilongjiang, China according to TM imagery and 133 plots of forest inventory data. There were 71 dependent variables of geoscience and remote sensing.
Important findings The precisions and root mean square errors of multi-stepwise regression model, traditional BP neutral network model and Erf-BP were 75%, 26.87 t·m^-2; 80.92%, 21.44 t·m^-2 and 82.22%, 20.83 t·m^-2, respectively. Therefore, the relations between forest biomass and various factors can be better modeled and described by the improved Erf-BP.

Key words: biomass, back propagation (BP) neural network model, BP neutral network model based on Gaussian error function (Erf-BP), multi-stepwise regression

FAN Wen-Yi, ZHANG Hai-Yu, YU Ying, MAO Xue-Gang, YANG Jin-Ming. Comparison of three models of forest biomass estimation[J]. Chin J Plant Ecol, 2011, 35(4): 402-410.

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https://www.plant-ecology.com/EN/Y2011/V35/I4/402

Figures/Tables 13

References 21

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树种¹⁾ Species¹⁾	茎生物量 Stem biomass (W_S)	枝生物量 Branch biomass (W_B)	叶生物量 Foliage biomass (W_L)	出处 Derivation	树高 Tree height (H)
1	W_S= 0.0145(D²H)^1.006	W_B = 0.000063(D²H)^1.536	W_L = 0.00104(D²H)^1.148	Ding & Sun, 1989	H = 6.6831exp(0.0515D)
2	W_S = 0.0134(D²H)^1.020	W_B = 0.0105(D²H) ^0.7386	W_L = 0.181D^1.8415	Luo, 1996	H = 5.7584exp(0.0499D)
3	W_S = 0.025(D²H)^0.96	W_B = 0.0021(D²H)^0.8181	W_L = 0.00126(D²H)^0.968	Chen & Zhu, 1989	H = 6.9441exp(0.0468D)
4	W_S = 0.057D^2.4753	W_B = 0.0116D^2.4054	W_L = 0.0083D^2.3733	Chen & Zhu, 1989	H = 6.8879exp(0.0343D)
5	W_S = 0.0238(D²H)^0.936	W_B = 0.005(D²H)^0.9105	W_L = 0.0036(D²H)^0.897	Chen & Zhu, 1989	H = 6.8879exp(0.0343D)
6	W_S = 0.032417D^2.3565	W_B = 0.20893D^1.7082	W_L = 0.29156D^1.2807	Self-established	H = 6.6831exp(0.0515D)
7	W_S = 0.06013(D²H)^0.891	W_B = 0.00652(D²H)^1.169	W_L = 0.0044(D²H)^0.9919	Jiang, 1992	H = 8.4834exp(0.0277D)
8	W_S = 0.02511(D²H)^0.927	W_B = 0.00957(D²H)^0.974	W_L = 0.8725(D²H)^0.2034	Jiang, 1992	H = 10.6exp(0.0169D)
9	W_S = 0.2286(D²H)^0.6938	W_B = 0.0247(D²H)^0.7378	W_L = 0.0108(D²H)^0.8181	Self-established	H = 9.285exp(0.0196D)
10	W_S = 0.3274(D²H)^0.7217	W_B = 0.01349(D²H)^0.7197	W_L = 0.02347(D²H)^0.893	Self-established	H = 7.0338exp(0.0332D)
11	W_S = 0.03146(D²H)^1.032	W_B = 0.007429D^2.6745	W_L = 0.002754D^2.4965	Chen & Zhu, 1989	H = 8.1427exp(0.0249D)
12	W_S = 0.07936(D²H)^0.901	W_B = 0.014167(D²H)^0.764	W_L = 0.01086(D²H)^0.847	Self-established	H = 13.799exp(0.0138D)
13	W_S = 0.14114(D²H)^0.723	W_B = 0.00724(D²H)^1.0225	W_L = 0.0079(D²H)^0.8085	Jiang, 1992	H = 6.2635exp(0.0334D)
14	W_S = 0.03141(D²H)^0.733	W_B = 0.002127D^2.9504	W_L = 0.00321D^{2.473 5}	Chen & Zhu, 1989	H = 8.1877exp(0.0219D)
15	W_S = 0.01275(D²H)^1.009	W_B = 0.00824(D²H)^0.975	W_L = 0.00024(D²H)^0.991	Chen & Zhu, 1989	H = 7.0889exp(0.0349D)
16	W_S = 0.1193(D²H)^0.8372	W_B = 0.002(D²H)^1.12	W_L = 0.000015(D²H)^1.47	Luo, 1996	H = 9.8065exp(0.0246D)
17	W_S = 0.2286(D²H)^0.6938	W_B = 0.0247(D²H)^0.7378	W_L = 0.0108(D²H)^0.8181	Chen & Zhu, 1989	H = 12.136exp(0.0133D)

树种¹⁾ Species¹⁾	茎生物量 Stem biomass (W_S)	枝生物量 Branch biomass (W_B)	叶生物量 Foliage biomass (W_L)	出处 Derivation	树高 Tree height (H)
1	W_S= 0.0145(D²H)^1.006	W_B = 0.000063(D²H)^1.536	W_L = 0.00104(D²H)^1.148	Ding & Sun, 1989	H = 6.6831exp(0.0515D)
2	W_S = 0.0134(D²H)^1.020	W_B = 0.0105(D²H) ^0.7386	W_L = 0.181D^1.8415	Luo, 1996	H = 5.7584exp(0.0499D)
3	W_S = 0.025(D²H)^0.96	W_B = 0.0021(D²H)^0.8181	W_L = 0.00126(D²H)^0.968	Chen & Zhu, 1989	H = 6.9441exp(0.0468D)
4	W_S = 0.057D^2.4753	W_B = 0.0116D^2.4054	W_L = 0.0083D^2.3733	Chen & Zhu, 1989	H = 6.8879exp(0.0343D)
5	W_S = 0.0238(D²H)^0.936	W_B = 0.005(D²H)^0.9105	W_L = 0.0036(D²H)^0.897	Chen & Zhu, 1989	H = 6.8879exp(0.0343D)
6	W_S = 0.032417D^2.3565	W_B = 0.20893D^1.7082	W_L = 0.29156D^1.2807	Self-established	H = 6.6831exp(0.0515D)
7	W_S = 0.06013(D²H)^0.891	W_B = 0.00652(D²H)^1.169	W_L = 0.0044(D²H)^0.9919	Jiang, 1992	H = 8.4834exp(0.0277D)
8	W_S = 0.02511(D²H)^0.927	W_B = 0.00957(D²H)^0.974	W_L = 0.8725(D²H)^0.2034	Jiang, 1992	H = 10.6exp(0.0169D)
9	W_S = 0.2286(D²H)^0.6938	W_B = 0.0247(D²H)^0.7378	W_L = 0.0108(D²H)^0.8181	Self-established	H = 9.285exp(0.0196D)
10	W_S = 0.3274(D²H)^0.7217	W_B = 0.01349(D²H)^0.7197	W_L = 0.02347(D²H)^0.893	Self-established	H = 7.0338exp(0.0332D)
11	W_S = 0.03146(D²H)^1.032	W_B = 0.007429D^2.6745	W_L = 0.002754D^2.4965	Chen & Zhu, 1989	H = 8.1427exp(0.0249D)
12	W_S = 0.07936(D²H)^0.901	W_B = 0.014167(D²H)^0.764	W_L = 0.01086(D²H)^0.847	Self-established	H = 13.799exp(0.0138D)
13	W_S = 0.14114(D²H)^0.723	W_B = 0.00724(D²H)^1.0225	W_L = 0.0079(D²H)^0.8085	Jiang, 1992	H = 6.2635exp(0.0334D)
14	W_S = 0.03141(D²H)^0.733	W_B = 0.002127D^2.9504	W_L = 0.00321D^{2.473 5}	Chen & Zhu, 1989	H = 8.1877exp(0.0219D)
15	W_S = 0.01275(D²H)^1.009	W_B = 0.00824(D²H)^0.975	W_L = 0.00024(D²H)^0.991	Chen & Zhu, 1989	H = 7.0889exp(0.0349D)
16	W_S = 0.1193(D²H)^0.8372	W_B = 0.002(D²H)^1.12	W_L = 0.000015(D²H)^1.47	Luo, 1996	H = 9.8065exp(0.0246D)
17	W_S = 0.2286(D²H)^0.6938	W_B = 0.0247(D²H)^0.7378	W_L = 0.0108(D²H)^0.8181	Chen & Zhu, 1989	H = 12.136exp(0.0133D)

变量 Variable		相关系数 Correlation coefficient	变量 Variable		相关系数 Correlation coefficient	变量 Variable		相关系数 Correlation coefficient
原始波段 Original band	Band1	-0.029	纹理信息 Texture		对角线方向 diagonal direction	相异性 Dissimilarity	Dis1	-0.206
	Band2	-0.508^**	平均值 Mean	Mean1	-0.354^**		Dis2	-0.342^**
	Band3	-0.450^**		Mean2	-0.225^*		Dis3	-0.061
	Band4	0.035		Mean3	-0.122		Dis4	-0.093
	Band5	-0.357^**		Mean4	0.027		Dis5	-0.301^**
	Band7	-0.459^**		Mean5	-0.383^**		Dis7	0.038
波段组合 Band combination	TM73	0.100		Mean7	-0.323^**	熵 Entropy	Ent1	-0.233^*
	TM437	-0.095	方差 Variance	Var1	-0.250^*		Ent2	-0.342^**
	TM452	0.511^**		Var2	-0.308^**		Ent3	-0.137
	TM42	0.591^**		Var3	-0.122		Ent4	-0.136
	差值植被指数 Difference vegetation index (DVI)	0.121		Var4	-0.178		Ent5	-0.336^**
	简单比值指数 Simple ratio (SR)	0.482^**		Var5	-0.305^**		Ent7	-0.017
	归一化植被指数 Normalized difference vegetation index (NDVI)	0.419^**		Var7	-0.062	角二阶矩 Angular second moment	Sec1	0.230^*
	转换型植被指数 Transformed vegetation index (TVI)	0.415^**	均一性 Homogeneity	Hom1	0.206		Sec2	0.340^**
	垂直植被指数 Perpendicular vegetation index (PVI)	0.071		Hom2	0.342^**		Sec3	0.137
	红外指数 Infrared index (II)	0.466^**		Hom3	0.061		Sec4	0.108
	土壤调整植被指数 Soil-adjusted vegetation index (SAVI)	0.418^**		Hom4	0.088		Sec5	0.329^**
	优化的简单比值指数 Modified simple ratio (MSR)	0.469^**		Hom5	0.301^**		Sec7	0.019
	土壤调整植被指数2 Soil-adjusted vegetation index 2 (SAVI2)	0.409^**		Hom7	-0.038	相关性 Correlation	Cor1	0.309^**
	非线性植被指数 Non-linear index (NLI)	0.330^**	对比度 Contrast	Con1	-0.206		Cor2	0.366^**
地学信息 Geographic information	纵坐标Y Y-coordinate	-0.259^*		Con2	-0.342^**		Cor3	0.131
	横坐标X X-coordinate	-0.231^*		Con3	-0.061		Cor4	0.143
	高程 Elevation	0.598^**		Con4	-0.113		Cor5	0.172
	坡向 Slope aspect	-0.280^**		Con5	-0.292^**		Cor7	0.095
	坡度 Slope	-0.125		Con7	0.038	郁闭度 Closure		0.283^**

变量 Variable		相关系数 Correlation coefficient	变量 Variable		相关系数 Correlation coefficient	变量 Variable		相关系数 Correlation coefficient
原始波段 Original band	Band1	-0.029	纹理信息 Texture		对角线方向 diagonal direction	相异性 Dissimilarity	Dis1	-0.206
	Band2	-0.508^**	平均值 Mean	Mean1	-0.354^**		Dis2	-0.342^**
	Band3	-0.450^**		Mean2	-0.225^*		Dis3	-0.061
	Band4	0.035		Mean3	-0.122		Dis4	-0.093
	Band5	-0.357^**		Mean4	0.027		Dis5	-0.301^**
	Band7	-0.459^**		Mean5	-0.383^**		Dis7	0.038
波段组合 Band combination	TM73	0.100		Mean7	-0.323^**	熵 Entropy	Ent1	-0.233^*
	TM437	-0.095	方差 Variance	Var1	-0.250^*		Ent2	-0.342^**
	TM452	0.511^**		Var2	-0.308^**		Ent3	-0.137
	TM42	0.591^**		Var3	-0.122		Ent4	-0.136
	差值植被指数 Difference vegetation index (DVI)	0.121		Var4	-0.178		Ent5	-0.336^**
	简单比值指数 Simple ratio (SR)	0.482^**		Var5	-0.305^**		Ent7	-0.017
	归一化植被指数 Normalized difference vegetation index (NDVI)	0.419^**		Var7	-0.062	角二阶矩 Angular second moment	Sec1	0.230^*
	转换型植被指数 Transformed vegetation index (TVI)	0.415^**	均一性 Homogeneity	Hom1	0.206		Sec2	0.340^**
	垂直植被指数 Perpendicular vegetation index (PVI)	0.071		Hom2	0.342^**		Sec3	0.137
	红外指数 Infrared index (II)	0.466^**		Hom3	0.061		Sec4	0.108
	土壤调整植被指数 Soil-adjusted vegetation index (SAVI)	0.418^**		Hom4	0.088		Sec5	0.329^**
	优化的简单比值指数 Modified simple ratio (MSR)	0.469^**		Hom5	0.301^**		Sec7	0.019
	土壤调整植被指数2 Soil-adjusted vegetation index 2 (SAVI2)	0.409^**		Hom7	-0.038	相关性 Correlation	Cor1	0.309^**
	非线性植被指数 Non-linear index (NLI)	0.330^**	对比度 Contrast	Con1	-0.206		Cor2	0.366^**
地学信息 Geographic information	纵坐标Y Y-coordinate	-0.259^*		Con2	-0.342^**		Cor3	0.131
	横坐标X X-coordinate	-0.231^*		Con3	-0.061		Cor4	0.143
	高程 Elevation	0.598^**		Con4	-0.113		Cor5	0.172
	坡向 Slope aspect	-0.280^**		Con5	-0.292^**		Cor7	0.095
	坡度 Slope	-0.125		Con7	0.038	郁闭度 Closure		0.283^**

变量 Variable	Coef_uns	Coef_s	t_0.05	Sig.	VIF
常数 Constant	125.696 8		6.211	0.000
郁闭度 Closure	18.692 6	0.123 7	2.402	0.018	1.099
高程 Elevation	0.024	0.134 3	2.265	0.026	1.456
X	-0.000 14	-0.266 3	-5.273	0.000	1.057
Band3	-0.057 5	-0.273 1	-4.258	0.000	1.704
Cor1	0.295 4	0.539 5	7.903	0.000	1.931