Study on Growth Model of DBH and Height Based on Dummy Variable for Natural oak Forest in Qinba Mountain Area

doi:10.13466/j.cnki.lyzygl.2020.05.014

Abstract

Abstract:

Based on the national forest resources inventory data,this study takes the natural oak forest in Qinba mountain area as the research object.The dominant trees and their competitive grades were determined based on the competition index and the site quality grade was determined according to the dominant trees and site dominant factors.The competition grade and site quality grade were used as dummy variables in the fitting of the growth process of the DBH and tree height to obtain the optimal growth model.The results showed that the dominant site factors of oak natural forest were altitude,aspect and soil thickness;Gompertz model was the optimal basic model for the DBH and tree height growth model;the best fitting results were obtained when the dummy variable of competition grade was in parameters a and c,in which R ² value and P_a value were 0.834 and 98.17,respectively,13.16% and 0.59% higher than those of the basic model. The study found that the height growth model used Gompertz model when the dummy variables of site quality grade were in parameters a and b,the fitting results were the best.R ² value and P_a value were 0.717 and 98.26 respectively,which were 16.59% and 0.65% higher than those of the basic model.When the second kind of dummy variable is introduced into the DBH and tree height model,the accuracy of the model is improved,but the effect is not obvious.Based on the analysis of the DBH and tree height growth rules of natural oak forest under different growth conditions in Qinba mountain area,the stand growth model was established,which can provide important reference for the restoration of natural oak secondary forest and the improvement of stand quality.

Key words: natural oak, dummy variable, site quality, competitive index, growth model

CLC Number:

S792.18
S758

MIN Zhiqiang, HU Yunyun, WANG Dejun, SUN Jingmei, LI Hongtao, LI Weizhong. Study on Growth Model of DBH and Height Based on Dummy Variable for Natural oak Forest in Qinba Mountain Area[J]. FOREST RESOURCES WANAGEMENT, 2020, (5): 89-99.

Figures/Tables 13

Tab.1

Tab.2

Tab.3

Tab.4

Growth model of Height and DBH

模型	表达式
Richards	y=a× $(1 - e - c × A) b$
Gompertz	y=a× $e - b × e - c × A$
Logistic	y=a/(1+b×e^-^c^×^A)
Schumacher	$e - b × e - c × A$

Tab.4

Fig.1

Tab.5

Tab.6

Tab.7

Tab.8

Tab.9

Tab.10

Fig.2

Fig.3

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林分因子	最大值	最小值	平均值	标准差
年龄/a	95	6	33	19.0
胸径/cm	38.5	6	15.3	6.9
树高/m	24.2	4.2	11.0	3.6
蓄积量/(m³/hm²)	490.9	2.25	114.15	87.6
优势木生长量/(m³/hm²)	4.90	0.01	1.48	0.87

立地因子	编号	取值范围	优势木生长量/ (m³/hm²)	得分值
海拔	1	<500	0.037	1
	2	500~1000	0.0438	2
	3	1000~1500	0.0552	4
	4	1500~2000	0.059	5
	5	≥2000	0.0509	3
坡向	1	北	0.0408	1
	2	东北	0.0381	1
	3	东	0.0552	4
	4	东南	0.0626	5
	5	南	0.0554	4
	6	西南	0.0532	3
	7	西	0.0521	3
	8	西北	0.0497	2
	9	无坡向	0.0487	2
土壤厚度	1	厚	0.0606	5
	2	中	0.0517	3
	3	薄	0.0481	1

等级	Ⅰ级	Ⅱ级	Ⅲ级
分值	11~15	7~10	3~6
样地数/块	146	124	99

立地因子	主要成份
立地因子	1	2	3
地貌(LF)	0.777	0.544	0.098
海拔(ELE)	0.823	0.467	0.069
坡向(ASP)	0.089	0.246	-0.558
坡位(SLPP)	0.206	0.032	0.618
坡度(SLP)	-0.137	0.024	0.542
土壤类型(ST)	-0.592	0.642	-0.073
土壤质地(SQ)	-0.386	0.107	0.391
土壤厚度(SD)	0.686	-0.56	-0.048
腐殖质厚度(BUFF)	0.241	-0.114	0.021

因变量类别	模型	参数值						拟合指标				评价指标
因变量类别	模型	a		b		c		RMSE		R²		TRE		P_a
树高(H)	Richards		46.44		0.41		0.00		2.26		0.61		2.26		97.84
	Gompertz		21.23		1.37		0.02		2.23		0.62		2.08		97.63
	Logistic		13.23		1.81		0.08		2.51		0.51		0.98		97.63
	Schumacher		14.49		7.42				2.59		0.48		3.13		97.51
	Richards		25.66		0.03		0.82		3.98		0.66		3.36		97.24
胸径(DBH)	Richards		25.66		0.03		0.82		3.98		0.66		3.36		97.24
	Gompertz		49.67		2.15		0.02		3.52		0.74		2.20		97.59
	Logistic		21.14		3.53		0.08		4.19		0.63		1.58		97.15
	Schumacher		30.29		18.44				4.16		0.63		1.72		97.24