The growth law for natural secondary forests of Pinus bungeana in the Huanglong Mountain forest region

doi:10.3969/j.issn.1000-2006.201908018

JOURNAL OF NANJING FORESTRY UNIVERSITY ›› 2020, Vol. 44 ›› Issue (6): 125-130.doi: 10.3969/j.issn.1000-2006.201908018

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The growth law for natural secondary forests of Pinus bungeana in the Huanglong Mountain forest region

CHEN Chen(), LIU Guangwu^*()

Henan Forestry Vocational College, Luoyang 471002, China

Received:2019-08-10 Revised:2019-12-16 Online:2020-11-30 Published:2020-12-07
Contact: LIU Guangwu E-mail:1005147274@qq.com;450875443@qq.com

Abstract

Abstract:

【Objective】In order to realize the reasonable management of Pinus bungeana natural secondary forests in Shaanxi Province,the growth model which accords with the growth law of P. bungeana was established to provide bases for management decisions and achieve a reasonable management of oak natural secondary forests of P. bungeana with the older tree age.【Method】This study was conducted in a natural secondary forest of P. bungeana in the Huanglong Mountain forest region, Shaanxi Province. Standard trees were chosen for a trunk analysis, and diameter at breast height (DBH), tree height, and volume growth models were established based on data from the analysis of tree trunks with artificial neural network(ANN)and three common models. Growth curves were drawn to study the growth law of natural secondary forests of P. bungeana. 【Result】The DBH ANN growth model, tree height ANN growth model, and volume ANN growth model were better than the three commonly used models. The ANN model showed a good application and promotion ability in fitting the growth process of P. bungeana, which grows slowly. The rapid DBH, tree height and volume growth periods were 30-60, 20-30 and 110-130 a, respectively. The maximum current annual increment for DBH, tree height and volume was 120, 90 and 130 a, respectively. P. bungeana has not reached the age of quantitative maturity in 135 a. 【Conclusion】The ANN models could lay the foundation for ancient tree research in the Huanglong Mountain forest region. The growth law research can provide a reference and support for the management of different stages of P. bungeana forest.

Key words: Pinus bungeana, natural secondary forest, analysis of tree trunks, artificial neural network(ANN), growth law, Huanglong Mountain forest region

CLC Number:

S757.2

CHEN Chen, LIU Guangwu. The growth law for natural secondary forests of Pinus bungeana in the Huanglong Mountain forest region[J]. JOURNAL OF NANJING FORESTRY UNIVERSITY, 2020, 44(6): 125-130.

Figures/Tables 6

Table 1

Table 2

Fig.1

Table 3

Table 4

Fig.2

References 15

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因子 factor	函数表达式function expression	P_c/%	R/%	MSE
胸径 DBH	D=purelin(1.430 2D₁+4.901 4D₂+0.852 87D₃-4.494 8)	98.875	99.96	0.470 7
	D₁=log sig(3.002 4A-2.717 7)
	D₂=log sig(1.189 1A+1.853 7)
	D₃=log sig(-8.607 9A-9.468 7)
树高 height	H=purelin(-0.533 1H₁+1.674 3H₂-1.068 2H₃-0.002 945)	99.29	99.95	0.000 3
	H₁=log sig(9.275 4A-4.969 1)
	H₂=log sig(4.159 1A-1.805 8)
	H₃=log sig(-8.187 9A-5.484 3)
材积 volume	V=purelin(0.891 97V₁+1.394 1V₂-1.012 8)	97.09	99.93	0.037 8
	V₁=log sig(13.806 4A-10.568 1)
	V₂=log sig(2.993 6A-1.372 7)

年龄/a age	胸径/cm DBH		树高/m tree height		材积/m³ volume		年龄/a age	胸径/cm DBH				树高/m tree height				材积/m³ volume
年龄/a age	测定值 measured	拟合值 fitting	测定值 measured	拟合值 fitting	测定值 measured	拟合值 fitting	年龄/a age	测定值 measured		拟合值 fitting		测定值 measured		拟合值 fitting		测定值 measured		拟合值 fitting
10	0.740 7	0.736 1	0.864 2	0.865 3	0.001 547 99	0.002 6	80		13.703 7		14.407 8		9.104 9		9.049 4		0.065 015 48		0.078 9
20	1.477 8	1.228 4	1.944 4	1.777 2	0.003 125 00	0.004 8	90		15.926 0		16.686 5		10.500 0		10.194 7		0.100 619 20		0.110 2
30	2.963 0	3.142 5	4.166 7	3.652 2	0.004 963 56	0.008 4	100		18.222 2		19.180 4		11.358 0		11.171 9		0.148 437 50		0.147 2
40	5.185 2	5.486 9	5.740 7	5.660 7	0.010 835 91	0.014 0	110		21.538 5		21.959 0		11.913 6		11.6566		0.187 306 50		0.198 4
50	7.407 4	7.827 6	7.037 0	6.833 4	0.018 575 85	0.022 7	120		24.613 0		24.998 1		12.191 4		12.1812		0.286 377 71		0.305 5
60	9.851 9	10.068 9	7.592 6	7.492 2	0.032 507 74	0.035 6	130		28.762 9		28.146 1		12.795 9		12.8086		0.407 120 74		0.411 4
70	11.538 4	12.236 6	8.209 9	8.145 3	0.044 891 64	0.054 0	135		29.690 7		29.685 7		13.071 4		13.0715		0.433 187 50		0.435 2

因子 factor	函数名称 function	参数 parameter			P_c/%	R²	MSE
因子 factor	函数名称 function	a	b	c	P_c/%	R²	MSE
胸径DBH	Logistic函数	36.097 0	-0.031 9	3.099 2	94.14	0.997	0.683 0
	负指数函数	170.490 0	-349.670 0	58.493 0	96.61	0.990	1.120 0
	对数函数	-3 005.700 0	403.230 0	1 710.400 0	93.98	0.987	1.220 0
树高height	Logistic函数	14.917 0	-0.026 1	1.567 3	94.43	0.993	0.491 0
	负指数函数	21.967 0	-79.179 0	15.632 0	96.90	0.994	0.042 0
	对数函数	-36.720 0	9.679 0	37.914 0	97.38	0.995	0.340 0
材积volume	Logistic函数	2.195 6	-0.038 9	6.524 1	93.96	0.998	0.008 4
	负指数函数	2 992.100 0	-2 677.000 0	178.710 0	69.59	0.995	0.012 1
	对数函数	-70.450 0	8.930 5	2 631.800 0	56.35	0.806	0.080 2

年龄/a age	胸径/cm DBH		树高/m height		材积/m³ volume
年龄/a age	测定值 measured	拟合值 fitting	测定值 measured	拟合值 fitting	测定值 measured	拟合值 fitting
10	1.037 0	0.739 4	1.384 6	0.924 3	0.003 125	0.002 6
20	2.444 0	1.203 9	3.907 7	1.836 7	0.006 250	0.004 9
30	4.000 0	3.013 8	4.923 1	3.712 8	0.007 813	0.008 4
40	6.148 1	5.231 1	6.769 2	5.722 2	0.023 438	0.014 1
50	8.148 1	7.445 0	7.076 9	6.895 5	0.034 375	0.022 7
60	10.740 7	9.564 9	8.461 5	7.554 7	0.056 250	0.035 6
70	12.222 2	11.615 2	9.630 8	8.208 2	0.062 525	0.054 0
79	13.185 2	13.460 7	10.153 8	9.008 6	0.087 500	0.076 2

The growth law for natural secondary forests of Pinus bungeana in the Huanglong Mountain forest region

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