福建省福建柏人工林立地指数表的编制与应用

doi:10.12302/j.issn.1000-2006.202203015

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南京林业大学学报（自然科学版） ›› 2024, Vol. 48 ›› Issue (2): 191-198.doi: 10.12302/j.issn.1000-2006.202203015

福建省福建柏人工林立地指数表的编制与应用

李秉钧(), 刘聘, 韩永振, 荣俊冬, 陈礼光, 郑郁善^*()

福建农林大学林学院,福建福州 350002

收稿日期:2022-03-05 修回日期:2022-07-20 出版日期:2024-03-30 发布日期:2024-04-08
通讯作者: *郑郁善(zys1960@163.com),教授。
作者简介:李秉钧(764189491@qq.com),博士生。
基金资助:
福建省种苗科技攻关六期项目;福建省科技厅重大专项(2018NZ0001-1);福建农林大学科技发展创新基金项目(KF2015085)

Evaluation of site quality of Fokienia hodginsii plantation based on site index method

LI Bingjun(), LIU Pin, HAN Yongzhen, RONG Jundong, CHEN Liguang, ZHENG Yushan^*()

Forestry College of Fujian Agriculture and Forestry University, Fuzhou 350002, China

Received:2022-03-05 Revised:2022-07-20 Online:2024-03-30 Published:2024-04-08

摘要/Abstract

摘要：

【目的】利用立地指数法对不同林龄福建柏(Fokienia hodginsii)人工林进行立地质量评价,旨在为福建省林分立地质量调查提供科学依据。【方法】以福建省内不同林龄的福建柏人工林为研究对象,选择6个常用的理论生长方程:冈珀茨公式(Gompertz)、理查德兹式(Richards)、韦伯公式(Weibull)、科尔夫公式(Korf)、逻辑斯谛公式(Logistic)、舒马赫公式(Schumacher),对福建柏林分年龄与优势木平均高数据进行拟合,根据决定系数(R²)、绝对误差(MAE)和均方根误差(RMSE)对各方程的拟合性能进行评价,编制出适用于福建省福建柏人工林的立地指数表。【结果】 Korf模型拟合的R²最大、RMSE和MAE最小,因此选择Korf方程作为最优导向曲线方程。通过绘制104株优势木树高平均生长量和连年生长量变化折线图,结合各龄阶优势高变动系数确定福建柏人工林的基准林龄为20 a,根据基准年龄时优势高变动范围确定指数级距为2 m。利用比例调整法编制出立地指数表,表明福建省大部分福建柏人工林立地指数处于中等水平,只有7%的标准地其立地指数处于较高水平。以坡向和土层厚度2个指标作为划分立地类型的主导因子,发现福建省内大部分福建柏人工林土层深度较浅,且阳坡的人工林数量较高于阴坡。【结论】本研究构建了该地区福建柏人工林分树高生长模型,可预测福建柏林分的生长量和收获量。经卡方检验和落点检验,立地指数表可应用于实践;使用所编立地指数表进行立地质量评价,可更好地量化不同林地的生产力。

关键词: 福建柏, 立地指数法, 立地品质, 拟合方程

Abstract:

【Objective】 The site index method was used to evaluate the site quality of Fokienia hodginsii plantations with different forest ages, so as to provide investigation in Fujian Province, China. 【Method】 Taking F. hodginsii plantations of different forest ages in Fujian Province as the research object, six commonly used theoretical growth equations were selected to calculate the average age of F. hodginsii and dominant trees. The fitting performance of each equation was evaluated according to the coefficient of determination (R²), the absolute error (MAE) and the root mean square error (RMSE), compiled the site index table applicable to Fujian cypress plantation in Fujian Province,aiming to provide a scientific basis for the quality investigation of forest stand in Fujian Province.【Result】 The results show that the R² of the Korf equation was the largest, and the RMSE and the MAE were the lowest, so the Korf equation was selected as the optimal steering curve equation. By plotting the data of 104 dominant tree height, the average growth rate of dominant height and the change of annual growth rate were plotted, and the base age of F. hodginsii plantation was determined to be 20 years according to the variation coefficient of dominant height of each age class, which was determined according to the variation range of dominant height at the base age. The index level distance was 2 m, and the site index table compiled by the proportional adjustment method showed that the site index of most of Fujian cypress plantations in Fujian Province was at a medium level, and only 7% of the standard sites showed a higher level of site index.Taking two indicators of slope aspect and soil thickness as the dominant factors for the classification of site types, it was found that most of the F. hodginsii plantations in Fujian Province had shallow soil depth, and the number of plantations on sunny slopes was higher than that on shady slopes. 【Conclusion】 The results of this study can be used to construct a tree height growth model for F. hodginsii plantation stands in the region, and to predict the growth and harvest of F. hodginsii stands. Evaluation of stand quality was carried out using the compiled site index table to better quantify the productivity of different sites, which can be applied in practice after chi-square test and drop point test.

Key words: Fokienia hodginsii, site index method, site quality, fitting equation

中图分类号:

S791.43

李秉钧,刘聘,韩永振,等. 福建省福建柏人工林立地指数表的编制与应用[J]. 南京林业大学学报（自然科学版）, 2024, 48(2): 191-198.

LI Bingjun, LIU Pin, HAN Yongzhen, RONG Jundong, CHEN Liguang, ZHENG Yushan. Evaluation of site quality of Fokienia hodginsii plantation based on site index method[J].Journal of Nanjing Forestry University (Natural Science Edition), 2024, 48(2): 191-198.DOI: 10.12302/j.issn.1000-2006.202203015.

图/表 8

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调查地点 survey site	样地数 plot number	林龄范围/a stand age range	纬度(N) latitude	经度(E) longitude	海拔/m altitude	平均土层厚度/cm AST	平均腐殖层厚/cm AHLT	土壤类型 soil type
泉州丰田林场Quanzhou Fengtian Forestry Station	41	7 ~ 65	25°16'22″	118°01'53″	400	58	8.2	多为红壤,部分为黄壤和棕壤
福州大湖林场Fuzhou Dahu Forestry Station	6	26 ~ 43	25°55'47″	119°02'56″	127	73	8.7	红壤
三明官庄林场Sanming Guanzhuang Forestry Station	9	18 ~ 40	26°31'19″	117°45'55″	232	79	7.2	红壤、黄壤
三明莘口林场Sanming Xingkou Forestry Station	9	11 ~ 55	26°09'44″	117°32'35″	190	66	4.0	黄壤
三明默林林场Sanming Molin Forestry Station	9	7 ~ 38	25°43'04″	117°44'12″	739	58	4.7	黄壤
南平西芹林场Nanping Xiqin Forestry Station	6	23 ~ 36	26°34'11″	118°06'55″	192	83	6.8	红壤
南平来舟林场Nanping Laizhou Forestry Station	3	40 ~ 57	26°35'18″	118°01'24″	110	80	4.0	红壤
龙岩五一林场Longyan Wuyi Forestry Station	9	6 ~ 44	25°13'44″	117°32'17″	660	88	21.8	黄壤
漳州南靖林场Zhangzhou Nanjing Forestry Station	12	8 ~ 44	24°30'30″	117°21'18″	203	91	5.8	红壤、黄壤

龄级/a age class	样本数 samples	平均树高/m mean tree height	SD	3倍标准偏差3 times SD
龄级/a age class	样本数 samples	平均树高/m mean tree height	SD	上限 upper limit	下限 lower limit
5	27	3.8	1.72	9.02	-1.32
10	74	7.3	2.20	13.91	0.71
15	92	9.6	1.16	13.10	6.11
20	73	12.0	2.27	18.75	5.15
25	19	13.0	2.43	20.29	5.71
30	95	12.8	2.57	20.52	5.09
35	140	13.6	2.03	19.71	7.52
40	159	13.4	2.12	19.73	6.99
45	83	14.0	1.92	19.79	8.29
50	29	14.4	2.15	20.79	7.91
55	14	14.7	1.96	20.56	8.79
60	23	15.0	2.38	21.08	8.86
65	19	15.2	2.76	21.32	9.01

公式种类 equation type	表达式 expression	a	b	c	R²	均方根误差 RMSE	平均绝对误差 MAE
冈珀茨公式Gompertz	H=aexp[-bexp(-ct)]	13.800 6	2.663 4	0.138 6	0.594 2	2.121 5	1.670 0
理查德兹公式Richards	H=a[1-exp(-bt)]^c	13.934 1	0.114 1	1.710 2	0.595 2	2.118 9	1.668 3
韦伯公式Weibull	H=a[1-exp(-bt)^c]	14.531 0	0.056 5	1.304 7	0.589 2	2.138 0	1.691 0
科尔夫公式Korf	H=aexp(-b/t^c)	15.616 8	13.312 7	1.255 2	0.595 8	2.117 5	1.667 0
逻辑斯谛公式Logistic	H=a/[1+exp(b-ct)]	13.668 7	1.785 3	0.182 3	0.592 2	2.126 9	1.672 8
舒马赫公式Schumacher	H=aexp(-b/t)	16.848 5	8.068 6		0.593 4	2.123 6	1.677 6

龄级/a age class	平均树高/m mean tree height	标准差 SD	变异系数 CV
5	2.67	1.72	0.64
10	7.45	2.98	0.40
15	10.01	3.00	0.30
20	11.46	2.29	0.20
25	12.36	2.43	0.20
30	12.96	2.57	0.20
35	13.39	2.62	0.20
40	13.72	2.51	0.18
45	14.12	2.54	0.18
50	14.49	2.61	0.18
55	14.75	2.51	0.17
60	15.01	2.40	0.16
65	15.26	2.44	0.16

龄级/a age class	各立地指数下优势木树高范围/m range of dominant tree heights under each site index
龄级/a age class	6	8	10	12	14	16	18	20	22
5	1.29~1.84	1.57~2.21	2.02~2.47	2.43~3.08	2.92~3.76	3.31~4.01	3.74~4.88	3.91~5.16	4.23~7.28
10	3.81~4.37	4.90~5.78	5.71~6.92	7.01~8.72	8.56~9.71	9.78~11.12	10.22~12.71	11.91~14.59	11.98~16.74
15	5.04~5.97	6.52~7.35	8.11~9.04	9.89~11.03	11.94~12.63	12.98~14.67	13.79~16.93	16.07~18.48	15.13~21.23
20	5.50~6.51	7.53~8.49	9.45~10.66	11.03~12.91	13.52~14.91	14.89~17.63	16.94~20.12	18.92~21.97	19.73~24.04
25	6.27~7.01	8.03~9.12	10.01~11.29	12.17~13.24	14.21~15.77	16.81~18.06	18.63~20.41	20.07~22.81	21.92~25.73
30	6.49~7.23	8.83~9.67	10.97~11.82	13.02~13.98	15.24~16.81	17.51~19.12	19.97~21.07	21.63~23.48	22.54~26.89
35	6.89~7.42	9.12~9.92	11.29~12.07	13.52~14.43	15.93~16.72	18.01~19.76	20.78~22.12	22.79~24.39	24.72~27.62
40	7.01~7.45	9.38~10.12	11.47~12.23	13.97~14.81	16.12~17.16	18.76~19.97	21.02~22.26	23.05~24.61	25.46~28.34
45	7.12~7.56	9.45~10.24	11.72~12.41	14.22~15.03	16.76~17.35	19.00~20.13	21.44~22.31	23.78~24.93	25.81~28.41
50	7.29~7.61	9.69~10.31	12.09~12.86	14.51~15.23	17.02~17.58	19.27~20.37	21.86~22.55	24.09~25.18	26.19~28.49
55	7.38~7.72	9.80~10.43	12.37~12.98	14.87~15.41	17.29~17.78	19.59~20.43	22.09~22.73	24.49~25.47	26.69~28.61
60	7.47~7.89	9.92~10.59	12.49~13.06	14.93~15.53	17.45~17.83	19.87~20.59	22.29~22.97	24.91~25.82	27.14~28.77
65	7.52~8.01	10.02~10.70	12.60~13.17	15.01~15.68	17.59~17.92	20.02~20.73	22.51~23.18	25.07~26.11	27.35~28.80

福建省福建柏人工林立地指数表的编制与应用

Evaluation of site quality of Fokienia hodginsii plantation based on site index method

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立地类型 site type	立地指数/m site index
立地类型 site type	6	8	10	12	14	16	18	20	22
阳坡薄土sunny slope with thin soil	1	5	4	8	11	4	4	1	2
阳坡中土sunny slope with medium soil	0	3	1	5	4	2	1	0	0
阳坡厚土sunny slope with thick soil	0	1	1	2	1	0	0	0	0
阴坡薄土shady slope with thin soil	1	2	3	5	6	1	2	2	1
阴坡中土shady slope with medium soil	0	1	2	4	5	1	1	1	0
阴坡厚土shady slope with thick soil	0	1	0	3	1	0	0	0	0

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