基于主成分与聚类分析的樱桃番茄品质综合评价

doi:10.3969/j.issn.1004-1524.2021.12.12

浙江农业学报 ›› 2021, Vol. 33 ›› Issue (12): 2320-2329.DOI: 10.3969/j.issn.1004-1524.2021.12.12

基于主成分与聚类分析的樱桃番茄品质综合评价

周艳超(), 薛坤, 葛海燕, 陈火英, 刘杨^*()

上海交通大学农业与生物学院,上海 200240

收稿日期:2020-09-09 出版日期:2021-12-25 发布日期:2022-01-10
作者简介:* 刘杨,E-mail: liuyangtl@sjtu.edu.cn
周艳超(1996—),女,河北衡水人,硕士研究生,研究方向为樱桃番茄品质。E-mail: 905451058@qq.com
通讯作者: 刘杨
基金资助:
上海市农委项目(2019-02-08-00-08-F01106);上海市科委项目(17391900500)

Comprehensive evaluation of cherry tomato quality based on principal component analysis and cluster analysis

ZHOU Yanchao(), XUE Kun, GE Haiyan, CHEN Huoying, LIU Yang^*()

College of Agriculture and Biology, Shanghai Jiao Tong University, Shanghai 200240, China

Received:2020-09-09 Online:2021-12-25 Published:2022-01-10
Contact: LIU Yang

摘要/Abstract

摘要：

为探讨育种材料之间的品质差异,筛选适宜的推广品种,对29份樱桃番茄杂交组合的14个品质相关指标进行测量,运用描述性分析、主成分分析、聚类分析和判别分析对樱桃番茄进行综合评价。结果表明,番茄红素的变异系数最大,达到59%;横径的变异系数最小,仅为11%。主成分分析将14个品质指标简化为5个因子,累积贡献率达79.05%。结合聚类分析,筛选出决定番茄综合品质的6个指标——单果重、糖酸比、硬度、果形指数、V_C和番茄红素。综合主成分分析筛选出综合品质得分较高的组合。聚类分析将材料分为6类,结合判别分析构建了樱桃番茄品质判别函数,模型交叉验证显示正确判别率达到79.3%。此研究为樱桃番茄的品质评价提供了新思路。

关键词: 樱桃番茄, 品质评价, 综合主成分分析, 聚类分析, 判别分析

Abstract:

In order to explore the differences in quality between breeding materials and select suitable varieties, this experiment measured 14 quality indicators of 29 cherry tomatoes, using descriptive analysis, principal component analysis, cluster analysis and discriminant analysis to evaluate the quality of cherry tomatoes. The results showed that the coefficient of variation of lycopene was the largest, reaching 59%, and the coefficient of variation of transverse diameter was only 11%. The principal component analysis simplified 14 quality indicators into 5 factors, whose cumulative variance contribution rate reached 79.05%. Combined with cluster analysis, six indicators for determining the comprehensive quality of tomato were selected: single fruit weight, sugar-acid ratio, hardness, fruit shape index, V_C and lycopene. Comprehensive principal component analysis was used to screen out the hybrid combination which had the higher comprehensive quality score. Cluster analysis divided the materials into 6 categories. This study had constructed the discriminant function of cherry tomato combined with discriminant analysis. The model cross-validation showed that the correct discriminant rate reached 79.3%. This study provided new ideas for the quality evaluation of cherry tomatoes.

Key words: cherry tomato, quality evaluation, comprehensive principal component analysis (PCA), cluster analysis, discriminant analysis

中图分类号:

S641.2

周艳超, 薛坤, 葛海燕, 陈火英, 刘杨. 基于主成分与聚类分析的樱桃番茄品质综合评价[J]. 浙江农业学报, 2021, 33(12): 2320-2329.

ZHOU Yanchao, XUE Kun, GE Haiyan, CHEN Huoying, LIU Yang. Comprehensive evaluation of cherry tomato quality based on principal component analysis and cluster analysis[J]. Acta Agriculturae Zhejiangensis, 2021, 33(12): 2320-2329.

图/表 10

参考文献 21

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编号 No.	种质名称 Germplasm	种质类型 Type	果实性状 Fruit trait	来源地 Origin
1	FN101	圆形果Round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
2	FN106	圆形果Round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
3	FN109	高圆形果High round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
4	FN110	高圆形果High round fruit	黄色番茄,肉质细脆Yellow tomato, tenuous, crisp	上海Shanghai
5	FN112	高圆形果High round fruit	黄色番茄,肉质细脆Yellow tomato, tenuous, crisp	上海Shanghai
6	FN113	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
7	FN114	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
8	FN115	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
9	FN117	高圆形果High round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
10	FN118	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
11	FN119	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
12	FN120	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
13	FN121	高圆形果High round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
14	FN201	圆形果Round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
15	FN202	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
16	FN203	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
17	FN204	高圆形果High round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
18	FN205	高圆形果High round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
19	FN206	圆形果Round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
20	FN207	圆形果Round fruit	黄色番茄,肉质柔软Red tomato, soft	上海Shanghai
21	FN208	圆形果Round fruit	红色番茄,肉质柔软 Red tomato, soft	上海Shanghai
22	FN323	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
23	FN324	圆形果Round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
24	FN325	圆形果Round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
25	FN401	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
26	FN402	高圆形果High round fruit	绿色番茄,肉质细脆Green tomato, tenuous, crisp	上海Shanghai
27	FN403	圆形果Round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
28	FN404	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
29	FN405	圆形果Round fruit	紫色番茄,肉质柔软Purple tomato, soft	上海Shanghai

编号 No.	种质名称 Germplasm	种质类型 Type	果实性状 Fruit trait	来源地 Origin
1	FN101	圆形果Round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
2	FN106	圆形果Round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
3	FN109	高圆形果High round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
4	FN110	高圆形果High round fruit	黄色番茄,肉质细脆Yellow tomato, tenuous, crisp	上海Shanghai
5	FN112	高圆形果High round fruit	黄色番茄,肉质细脆Yellow tomato, tenuous, crisp	上海Shanghai
6	FN113	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
7	FN114	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
8	FN115	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
9	FN117	高圆形果High round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
10	FN118	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
11	FN119	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
12	FN120	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
13	FN121	高圆形果High round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
14	FN201	圆形果Round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
15	FN202	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
16	FN203	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
17	FN204	高圆形果High round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
18	FN205	高圆形果High round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
19	FN206	圆形果Round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
20	FN207	圆形果Round fruit	黄色番茄,肉质柔软Red tomato, soft	上海Shanghai
21	FN208	圆形果Round fruit	红色番茄,肉质柔软 Red tomato, soft	上海Shanghai
22	FN323	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
23	FN324	圆形果Round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
24	FN325	圆形果Round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
25	FN401	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
26	FN402	高圆形果High round fruit	绿色番茄,肉质细脆Green tomato, tenuous, crisp	上海Shanghai
27	FN403	圆形果Round fruit	红色番茄,肉质柔软Red tomato, soft	上海Shanghai
28	FN404	高圆形果High round fruit	红色番茄,肉质细脆Red tomato, tenuous, crisp	上海Shanghai
29	FN405	圆形果Round fruit	紫色番茄,肉质柔软Purple tomato, soft	上海Shanghai

指标Index	平均值Average	最大值Max.	最小值Min	极差Range	标准差SD	变异系数CV/%
SFW/g	24.39	42.70	15.47	27.23	6.63	27
TSS/%	8.66	11.50	6.50	5.00	1.24	14
TA/%	0.40	0.50	0.27	0.23	0.07	17
SSU/%	8.02	14.38	2.74	11.64	2.74	34
SP/%	1.68	2.40	1.30	1.10	0.25	15
LY/(mg·kg^-1)	29.10	56.40	0.01	56.40	17.30	59
SAR	20.05	32.67	6.86	25.81	7.16	35
V_C/(mg·kg^-1)	125.10	309.30	51.60	257.80	52.00	42
SC/cm	0.66	1.10	0.45	0.65	0.16	25
HA/(kg·cm^-2)	5.90	8.17	4.06	4.11	1.16	20
VD/mm	35.74	52.09	30.10	21.99	4.37	12
TD/mm	34.46	43.52	29.30	14.21	3.83	11
FSI	1.04	1.58	0.88	0.70	0.13	13
SL/cm	0.87	1.25	0.65	0.60	0.16	18

指标Index	平均值Average	最大值Max.	最小值Min	极差Range	标准差SD	变异系数CV/%
SFW/g	24.39	42.70	15.47	27.23	6.63	27
TSS/%	8.66	11.50	6.50	5.00	1.24	14
TA/%	0.40	0.50	0.27	0.23	0.07	17
SSU/%	8.02	14.38	2.74	11.64	2.74	34
SP/%	1.68	2.40	1.30	1.10	0.25	15
LY/(mg·kg^-1)	29.10	56.40	0.01	56.40	17.30	59
SAR	20.05	32.67	6.86	25.81	7.16	35
V_C/(mg·kg^-1)	125.10	309.30	51.60	257.80	52.00	42
SC/cm	0.66	1.10	0.45	0.65	0.16	25
HA/(kg·cm^-2)	5.90	8.17	4.06	4.11	1.16	20
VD/mm	35.74	52.09	30.10	21.99	4.37	12
TD/mm	34.46	43.52	29.30	14.21	3.83	11
FSI	1.04	1.58	0.88	0.70	0.13	13
SL/cm	0.87	1.25	0.65	0.60	0.16	18

成分 Component	初始特征值 Initial eigenvalue			提取载荷平方和 Sum of squared loads			旋转载荷平方和 Sum of squared rotational loads
成分 Component	总计 Total	方差百分比 Variance proportion	累积 Accumulation/%	总计 Total	方差百分比 Variance proportion	累积 Accumulation/%	总计 Total	方差百分比 Variance proportion	累积 Accumulation/%
1	3.87	27.66	27.66	3.87	27.66	27.66	3.06	21.88	21.88
2	2.87	20.54	48.20	2.87	20.54	48.20	2.26	16.14	38.02
3	1.85	13.24	61.44	1.85	13.24	61.44	2.25	16.08	54.10
4	1.42	10.12	71.56	1.42	10.12	71.56	1.99	14.21	68.31
5	1.05	7.48	79.05	1.05	7.48	79.05	1.50	10.74	79.05

基于主成分与聚类分析的樱桃番茄品质综合评价

Comprehensive evaluation of cherry tomato quality based on principal component analysis and cluster analysis

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指标 Index	主成分Component
指标 Index	FAC1	FAC2	FAC3	FAC4	FAC5
SFW	0.913	0.200	0.247	0.024	0.113
TD	0.880	0.091	0.306	-0.228	-0.034
SC	0.867	0.075	0.035	0.149	0.112
SAR	0.045	0.899	-0.284	0.052	0.111
SSU	0.247	0.838	0.105	0.081	0.126
SP	-0.078	-0.123	-0.796	0.006	-0.026
TA	0.348	-0.256	0.758	0.018	0.019
HA	-0.147	0.141	-0.638	0.336	0.187
FSI	-0.089	-0.071	-0.280	0.893	0.117
VD	0.652	-0.014	-0.039	0.716	0.081
SL	0.041	0.443	0.129	0.643	-0.213
LY	0.038	0.244	0.480	-0.213	0.694
TSS	-0.235	-0.321	0.222	-0.093	-0.692
V_C	-0.001	-0.481	-0.108	0.118	0.622

杂交组合 Hybrid combination	第1主成分 Component 1	第2主成分 Component 2	第3主成分 Component 3	第4主成分 Component 4	第5主成分 Component 5	综合主成分 Synthetic component	排名 Rank
FN208	1.351/3	2.290/1	0.843/5	-0.256/18	-0.026/13	0.964	1
FN402	1.087/5	-0.419/18	-0.641/23	4.155/1	-0.614/22	0.749	2
FN403	2.675/1	-0.548/21	0.766/7	-0.742/24	0.618/7	0.735	3
FN101	1.401/2	0.549/9	0.754/8	0.384/7	-0.194/17	0.696	4
FN201	1.346/4	0.760/6	0.139/15	-1.149/29	0.615/8	0.433	5
FN118	0.832/6	0.398/11	-0.429/21	1.065/2	-0.125/15	0.399	6
FN204	-0.156/15	1.505/3	0.500/12	-0.232/17	0.266/11	0.360	7
FN113	-1.441/27	2.021/2	0.578/9	0.644/5	0.544/9	0.322	8
FN404	-0.822/25	0.795/5	-0.272/19	0.437/6	2.428/2	0.288	9
FN324	0.403/11	-0.061/14	1.425/1	-1.016/26	-0.473/19	0.142	10
FN115	-0.123/12	-0.431/20	0.019/18	0.088/12	0.790/3	0.005	11
FN202	0.577/9	-0.087/15	-0.436/22	0.137/11	-0.553/20	0.003	12
FN117	-0.587/20	-0.895/23	1.243/3	0.228/9	-0.101/14	-0.058	13
FN106	-1.600/29	0.267/12	1.282/2	-0.136/15	0.680/6	-0.060	14
FN203	-0.425/19	0.245/13	0.565/10	-0.292/20	-0.554/21	-0.080	15
FN119	-0.253/18	-1.071/25	0.163/14	0.800/4	0.098/12	-0.099	16
FN325	0.702/7	-0.221/17	-0.428/20	-0.522/21	-0.733/24	-0.131	17
FN323	-1.535/28	-0.420/19	1.243/4	0.822/3	-0.195/18	-0.137	18
FN205	-0.615/21	-0.124/16	0.112/16	0.280/8	-0.140/16	-0.142	19
FN109	-0.146/14	-0.619/22	0.451/13	0.153/10	-0.779/25	-0.153	20
FN120	0.463/10	-1.38/28	-1.799/27	-0.183/16	2.823/1	-0.169	21
FN206	0.681/8	-0.895/24	0.521/11	-0.828/25	-1.43/27	-0.232	22
FN405	-0.627/22	-1.194/26	0.820/6	-0.643/23	0.302/10	-0.325	23
FN121	-0.186/17	-1.939/29	0.040/17	-0.268/19	0.744/4	-0.386	24
FN114	-0.140/13	0.686/7	-2.201/28	-1.111/28	0.695/5	-0.452	25
FN110	-0.738/23	0.631/8	-0.865/24	-0.628/22	-0.801/26	-0.473	26
FN401	-0.165/16	0.946/4	-2.261/29	-0.062/13	-1.545/28	-0.533	27
FN112	-1.173/26	0.433/10	-1.033/25	-0.068/14	-0.675/23	-0.550	28
FN207	-0.786/24	-1.258/27	-1.100/26	-1.056/27	-1.666/29	-1.115	29

类别 Category			预测组成员信息Forecast group member information						总计 Total
类别 Category			1	2	3	4	5	6	总计 Total
自身验证^a	计数Number	1	14	1	0	0	0	0	15
Self-validation		2	0	7	0	0	0	0	7
		3	0	0	4	0	0	0	4
		4	0	0	0	1	0	0	1
		5	0	0	0	0	1	0	1
		6	0	0	0	0	0	1	1
	百分比	1	93.3	6.7	0	0	0	0	100.0
	Percentage/%	2	0	100.0	0	0	0	0	100.0
		3	0	0	100.0	0	0	0	100.0
		4	0	0	0	100.0	0	0	100.0
		5	0	0	0	0	100.0	0	100.0
		6	0	0	0	0	0	100.0	100.0
交叉验证^b	计数Number	1	13	2	0	0	0	0	15
cross-validation		2	0	6	1	0	0	0	7
		3	0	0	4	0	0	0	4
		4	0	0	1	0	0	0	1
		5	0	0	1	0	0	0	1
		6	0	0	1	0	0	0	1
	百分比	1	86.7	13.3	0	0	0	0	100.0
	Percentage/%	2	0	85.7	14.3	0	0	0	100.0
		3	0	0	100.0	0	0	0	100.0
		4	0	0	100.0	0	0	0	100.0
		5	0	0	100.0	0	0	0	100.0
		6	0	0	100.0	0	0	0	100.0

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