协惯量分析与典范对应分析在植物群落排序中的应用比较

doi:10.3773/j.issn.1005-264x.2009.05.002

摘要/Abstract

摘要：

采用协惯量分析(PCA-CA COIA)和典范对应分析(CCA)两种排序方法, 对北京小龙门林场的黄檗 (Phellodendron amurense)群落进行了分析, 并用Spearman秩相关系数检验了对应排序轴的相关性。两种排序方法得出的结果基本一致, 两者的第一排序轴都反映了海拔高度和坡向对群落分布的影响, 而各自第二、第三排序轴所代表的环境意义有所差异, 并出现了交叉, 但是两者的前3个排序轴均反映了海拔、坡位、土壤厚度和凋落物层厚度的变化趋势, 说明在环境因子个数较少或共线性效应不明显的情况下, 协惯量分析也能达到CCA的分析效果, 并且在排序轴特征值解释量上高于典范对应分析。

关键词: 排序, 协惯量分析, 典范对应分析, 黄檗

Abstract:

Aims Co-inertia analysis is infrequently used when there are few environmental variables or little collinearity among them. Ecologists usually prefer the widely used canonical correspondence analysis. Our objective was to compare the results of co-inertia analysis and canonical correspondence analysis in the ordination of a plant community in a habitat represented by few environmental variables.
Methods We compared the results of PCA-CA co-inertia analysis (PCA-CA COIA) and canonical correspondence analysis (CCA) ordination of a Phellodendron amurense community in Xiaolongmen woodland, Beijing, China. The correlation of corresponding ordination axes of two methods was measured by Spearman’s rho correlation.
Important findings PCA-CA COIA and CCA produced mostly consistent results. Both first axes were correlated with elevation, whereas the second axis of PCA-CA COIA corresponded to the third axis of CCA and the third axis of CCA corresponded to the second axis of PCA-CA COIA. The first three axes of both methods were significantly correlated with elevation, slope position, soil thickness and litter layer thickness. The eigenvalues of the ordination axes and the cumulative percentage variance of species-environment relation in PCA-CA COIA were higher than that in CCA.

Key words: ordination, co-inertia analysis (COIA), canonical correspondence analysis (CCA), Phell-odendron amurense

张斌, 张金屯, 苏日古嘎, 张钦弟, 程佳佳, 田世广. 协惯量分析与典范对应分析在植物群落排序中的应用比较. 植物生态学报, 2009, 33(5): 842-851. DOI: 10.3773/j.issn.1005-264x.2009.05.002

ZHANG Bin, ZHANG Jin-Tun, Suriguga, ZHANG Qin-Di, CHENG Jia-Jia, TIAN Shi-Guang. A COMPARISON OF CO-INERTIA ANALYSIS AND CANONICAL CORRESPONDENCE ANALYSIS IN PLANT COMMUNITY ORDINATION. Chinese Journal of Plant Ecology, 2009, 33(5): 842-851. DOI: 10.3773/j.issn.1005-264x.2009.05.002

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链接本文: https://www.plant-ecology.com/CN/10.3773/j.issn.1005-264x.2009.05.002

https://www.plant-ecology.com/CN/Y2009/V33/I5/842

图/表 8

表1 各排序轴的特征值及对物种-环境关系解释的累计百分比

Table 1 Eigenvalues of the ordination axes and the cumulative percentage variance of species-environment relation explained by ordination axes

排序轴 Ordination axis
		1	2	3	4	5	6	典范特征值之和 Sum of all canonical eigenvalues
特征值 Eigenvalues	CCA	0.248	0.155	0.124	0.063	ab.	ab.	0.679
	PCA-CA COIA	0.616 9	0.353 9	0.192 8	0.067 3	0.056 8	0.049 8	1.337 5
	CCA (未降偶见种权重) (No downweighting of rare species)	0.278	0.24	0.165	0.133	ab.	ab.	0.969
对物种-环境关系方差解释的累计百分比 (%) The cumulative percentage variance of species-environment relation (%)	CCA	36.6	59.4	77.7	87.0	ab.	ab.
	PCA-CA COIA	46.1	72.6	87.0	92.0	96.3	100.0
	CCA (未降偶见种权重) (No downweighting of rare species)	28.7	53.6	70.6	84.4	ab.	ab.

表2 环境因子与典范对应分析(CCA)、协惯量分析(COIA)前4排序轴的相关系数

Table 2 Correlation coefficients of canonical correspondence analysis (CCA) and co-inertia analysis (COIA) ordination axes with environmental variables

	CCA				PCA-CA COIA
	排序轴 Ordination axis				排序轴 Ordination axis
	1	2	3	4	1	2	3	4
海拔 ELE	-0. 821 2	-0.191 3	-0.197 0	-0.458 8	-0.625 0	-0.141 0	-0.280 9	-0.131 8
坡向 ASP	0.614 2	-0.493 5	0.202 7	-0.278 4	0.553 2	-0.195 0	-0.301 8	-0.039 2
坡位 POS	0.492 6	0.264 6	-0.786 0	-0.243 0	0.287 8	0.748 0	-0.060 6	0.317 2
坡度 SLO	-0.417 8	0.215 3	-0.050 0	0.072 0	-0.339 0	-0.012 0	0.131 3	0.821 9
土壤厚度 ST	-0.410 0	0.242 1	-0.541 0	0.198 7	-0.313 0	0.609 6	0.068 1	-0.436 6
凋落物层厚度 LT	-0.097 0	-0.612 4	-0.687 0	0.352 4	-0.083 0	0.103 8	-0.896 9	0.120 2

图1 两种排序方法得出的环境因子排序图(示第一和第二排序轴) a: CCA b: PCA-CA COIA ASP、ELE、LT、POS、SLO、ST: 同表2 See Table 2

Fig. 1 Ordination diagrams of environmental variables in CCA and COIA (for axes 1 and 2)

表3 典范对应分析(CCA)和协惯量分析(COIA)前4排序轴的Spearman秩相关系数

Table 3 Spearman’s rho correlation of the first four ordination axes between canonical correspondence analysis (CCA) and co-inertia analysis (COIA)

	CCA排序轴 Ordination axis of CCA	PCA-CA COIA排序轴 Ordination axis of PCA-CA COIA
	CCA排序轴 Ordination axis of CCA	1	2	3	4
基于环境变量坐标值 Based on the scores of environmental variables	1	1.000**	0.086	-0.429	0.143
	2	-0.086	0.657	0.771	0.086
	3	-0.086	-0.886*	0.086	-0.086
	4	0.086	0.543	0.029	0.143
基于物种数据得到的样方坐标值 Based on the sample scores from species data—a	1	0.945**	0.335	0.058	0.203
	2	-0.049	0.378	0.884**	0.032
	3	0.005	-0.808**	0.441*	-0.253
	4	-0.044	0.031	0.044	-0.208
基于环境数据得到的样方坐标值 Based on the sample scores from environment data—b	1	0.874**	0.236	0.008	-0.195
	2	0.030	0.248	0.802**	0.172
	3	0.125	-0.888**	0.587**	-0.025
	4	-0.284	0.019	-0.099	-0.029
基于物种坐标值 Based on the species scores	1	0.519**	0.172	0.422**	-0.027
	2	0.034	-0.150	0.650**	0.053
	3	-0.125	-0.407**	0.149	-0.087
	4	-0.201*	-0.031	0.038	0.046

图2 CCA的样方排序图(示第一和第二排序轴)

Fig. 2 CCA ordination diagram of samples (for axes 1 and 2)

图3 依据物种变量和环境变量共同确定的样方在协惯量平面的位置(示第一和第二排序轴) 箭头头部表示由环境变量所确定的样方位置, 箭头尾部表示由物种变量所确定的样方位置 The arrow head mark the position of sample according to the environmental table ordination and the end of the arrow indicate its position according to vegetation ordination

Fig. 3 Sampling sites distribution in the co-inertia plane (for axes 1 and 2)

图4 典范对应分析(CCA)的物种排序图图中只列出了物种加权值(Species weight)大于5%的物种 Only species with the weight over 5% are shown FraxRhyn: 大叶白蜡 Fraxinus rhynchophylla JugMand: 胡桃楸 Juglans mandshurica PheAmur: 黄檗 Phellodendron amurense PopuCath: 青杨 Populus cathayana AcerTrum: 元宝枫 Acer truncatum SpiPube: 土庄绣线菊 Spiraea pubescens DeutPar: 小花溲疏 Deutzia parviflora AcerT_s: 元宝枫(灌木) Acer truncatum (shrub) FraxR_s: 大叶白蜡(灌木) Fraxinus rhynchophylla (shrub) CarIeu: 白花碎米荠 Cardamine leucantha PotSimu: 等齿委陵菜 Potentilla simulatrix HeraMoel: 短毛独活 Heracleum moellendorffii ArtIgn: 歧茎蒿 Artemisia igniaria PoaPrat: 草地早熟禾 Poa pratensis RabJap: 蓝萼香茶菜 Rabdosia japonica AspSch: 龙须菜 Asparagus schoberioides

Fig. 4 Canonical correspondence analysis (CCA) ordination diagram of species

图5 物种在PCA-CA协惯量分析(PCA-CA COIA)协惯量平面的位置

Fig. 5 Position of species in the PCA-CA co-inertia analysis (PCA-CA COIA) co-inertia plane

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