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Annals of Biological Research, 2013, 4 (8):201-204
(http://scholarsresearchlibrary.com/archive.html) ISSN 0976-1233
CODEN (USA): ABRNBW
201
Scholars Research Library
Study of yield and yield components Cultivars Promising Grain Sorghum using cluster
analysis and Factor analysis
Ahad Jahangiri Ajirlou1, Shahrooz Aghaei
1, and Shamsali Darvishi
1*
1Department of Agriculture, Parsabad, Moghan, Islamic Azad University, Parsabad Branch, Iran
____________________________________________________________________________________________
ABSTRACT
20 varieties of sorghum were evaluated in a randomized complete block design with four replications in 2007 in the
region of the Moghan.Analysis of variance of traits showed that there is a significant difference among the
varieties except for stamen leaf area. Using cluster analysis of Ward's method based on standardized data and all
traits the Iranian varieties and BISC-11 from India were ranked superior clusters. This grouping was confirmed by
the detection function. In factor analysis, five factors were determined which explained 86.24% of the total
variation. The first main factor explained 33.890 % of the total variation was introduced as a performance factor.
Keywords:Promising Varieties, Factor Analysis, Cluster Analysis, Sorghum, Yield
____________________________________________________________________________________________
INTRODUCTION
Sorghum is one of the most important cereal crops in arid and semi-arid. The plant in the world after wheat, rice,
maize and barley is in the fifth place [1]. This plant is used for providing protein for many people in Asia and
Africa [2], malt production of non-alcoholic drinks, flour production and animal feed [3]. Cultivation of sorghum in
the world in 2007 was nearly 47 million hectares of which 90% of the cultivated area is dedicated for Grain
sorghum varieties. Therefore, sorghum is considered as the world's primary cereal. India, with about 9 million
hectares under cultivation in first place and the USA with 3 million hectares under cultivation have the greatest
production in the world [4]. The success of the breeders depends on the choice of appropriate materials and
diversity. Breeding those traits which have high heritability is more important. It is notable that the evaluation and
application of the results have a significant role in Agricultural Sciences [5]. The purpose of principalcomponent
analysis is to reduce the volume of data. In this method examining the correlation between variable we are able to
realize the relationship between the traits. In component analysis, the correlation between lots of dependentvariables is expressed by a few independent components. The role of each trait is determined in variation of each
trait. In addition, the principal component analysis is used for genotype classification [6]. Several reports of
increasing genetic distance between genotypes of a species increases the likelihood of heterosis in cross-linkage
programs. The genotype classification based on genetic distance, is effective in corrective programs when such
traits simultaneously are examined. Therefore, in order to determine genetic variation standard, genotype
classifications and genetic distance among them the Cluster analysis is done [7].
MATERIALS AND METHODS
The study examined 20 varieties of sorghum, of which the first 17 variety were Iranian, two Indian and one Thai.
The land under the test immediately plowed after wheat harvest in May 2007. The amount and type of fertilizer
according to soil samples were added to the land. Other operations for Seedbed preparation were performed. Stacks
were constructed within 60 cm of each other and planting was done. Each cultivar in each plot was planted in four
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rows of seven meters in length.After emergence, the distance between they were narrowed to six centimeter apart
in the phase of 6-4 leaves. Therefore, on each seven meters line remained 118 plants. Plants at a height of about 40
cm were given 150 kg of Serk nitrogen fertilizer on the banks of the stacks in the form of ribbon. Then permeable
irrigation was done. The irrigation period determined once every 7-10 days. In order to classify varieties based on
the entire traits and standardized data of Ward's method cluster analysis using squared Euclidean distance based on
the mean standardized data were carried out. To determine the appropriate location for cutting the dendrogram,
discriminant function analysis was used. To obtain more information on the relationship between variouscharacteristics and profound understanding of data structures, factor analysis was used. Data analysis was
performed using SPSS-16 software.
RESULTS AND DISCUSSION
Cluster Analysis
Cluster analysis of all varieties of seeding sorghum based on all traits was performed using Ward's method with
standardized data. Based on the results of the discriminant function analysis on various sections of the cut, the
maximum difference amongst the group was observed in two clusters (Table 1 and Figure 1). The first cluster
includes varieties KGS-29, KGS-3, KGS-11, KGS-17, KGS-24, KGS-15, KGS-31, KGS-9, KGS-12, KGS-19,
KGS-32, BICS-11, KGS-23, KGS-33, KGS-25, KGS-5, KGS-27 and KGS-36 and the second cluster included
genotypes ICSV-274 and UT-378B, respectively. Variety classification of the experiments showed the good nature
of the classification in geographical distribution due to exposure of foreign varieties groups in similar groups. Todemonstrate the effectiveness of each trait in distinction of each cluster, the mean of each cluster, and the average
deviation from total mean and total mean were calculated for each of the traits (Table 2).
In the first cluster, the value of yield, harvest index, plant biomass, seed weight, number of grains per panicle,
number of branches per panicle, panicle length and stem diameter was greater than the mean of the whole group. In
the second cluster, number of tillers, plant height and stamen leaf area had a value greater than the mean of theentire group.
Figure 1. The dendrogram of sorghum cultivars resulting from cluster analysis using Ward Method based on
standardized data of all traits
TABLE 1. Discriminant function analysis to determine the cut-off point of dendrogram resulting from
cluster analysis based on all standardized traits
Number of groups Eigenvalues Percent of variance Canonical Correlation Wilkes Lambda Probability
2 140.220 94.6 0.995 0.001 0.0003 5.910 5.4 0.925 0.145 0.05
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Table 2. Groups average and their deviation percentage based on all traits of 20 cultivars of sorghum.
Group
Group Average Deviation of totalmean
Group Average Deviation of totalmean total mean
1 2
Performance 5.15 5.94 2.765 -53.47 4.868
Harvest index 51.44 5.56 24.305 050.12 48.729
Plant biomass 77.62 4.9 37541 -44.0 73.99Seed weight 29.19 3.43 28.8 -1.2 29.15
Number of grainsper panicle
1431 8.2 346.75 -73.78 1322.85
Branches per
panicle
84.85 0.46 80.95 -4.15 84.46
Panicle Length 27.97 0.61 25.25 -9.17 27.87
Days to emergence 65.61 -0.06 66.0 0.53 65.65
Number of tillers 0.26 -49.0 2.77 443.0 0.51Stem diameter 7.241 0.85 6.605 -8.0 7.177
Plant height 124.9 -4.6 185 41.32 130.9
Stamen leaf area 146.3 -0.85 158.35 25.65 147.505
FACTOR ANALYSIS
In factor analysis, five factors which accounted for a total of 86.244% of the total variation were selected (Table 3).
In this analysis, factors with eigenvalues greater than one were selected. Validity of the factor selection wasconfirmed byScree graph (Figure 1). In this study, the first main factor which explained 33.890% of the variation
had high correlation with traits such as yield, harvest index, biomass, plant height, number of tillers, and number ofgrains per panicle. Therefore the first factor can be introduced as a performance factor. It is noteworthy that this
factor had a high negative correlation with Plant height and Number of tillers. The second factor accounted for
16.232% variation, had a high positive correlation with stem diameter and number of days to panicle emergence.
Therefore the second factor can be introduced as an effective factor for growth. The third factor explained 13.999%
along with the second and first factor with 64.120% of total variance having a high positive correlation with grain
weight and biomass. And other traits in selection of cultivars through this factor were less important factors. Thefourth factor with 13.612 percent variation (along with the first three, 77.732 percent variation) accounted for which
had a high positive correlation with panicle length and panicle branches. And other traits in selection of cultivars
through this factor were less important factors. The fifth and the first four factors explained 8.512% and 86.244% of
the total variance, respectively. This factor had high positive correlation with stamen leaf area. Other traits were
less important factor in selecting varieties.
Table 3 - Factor Coefficients, Eigenvalues and Cumulative Changes Principal Factors with Varimax
Rotation.
Traits Eigenvalues Vectors
Factor 1 Factor 2 Factor 3 Factor 4 Factor 5
Stamen leaf area -0.049 -0.111 0.021 0.112 0.933Plant height -0.885 -0.102 -0.237 -0.058 0.235
Stem diameter 0.360 0.708 0.427 -0.033 -0.109
Number of tillers -0.847 -0.249 -0.076 -0.027 -0.132
Days to panicle
emergence
0.031 0.903 -0.064 0.185 0.111
Panicle Length 0.233 0.115 -0.036 0.923 0.026Branches per
panicle
-0.030 -0.053 -0.019 0.957 0.096
Number of grainsper panicle
0.900 -0.187 -0.155 0.158 -0.135
Seed weight -0.196 0.216 0.819 -0.138 0.111
Biomass 0.749 -0.046 0.619 -0.100 -0.065Harvest index 0.899 -0.064 0.026 0.112 -0.108
Performance 0.790 0.009 0.109 -0.034 0.327
Eigenvalues 4.745 2.272 1.960 1.906 1.192Cumulative
variation
33.890 50.122 64.120 77.732 88.244
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Figure 1 - Scree graph obtained from the Factor analysis
CONCLUSION
There was a significant difference between experimented cultivars for most of studied traits indicating the
difference between seeding sorghum varieties. So this provides selection, breeding and introduction of high
yielding cultivars in different regions. In cluster analysis using Ward's method with standardized data varieties
classified in two clusters. Varieties of cluster one were superior in terms of yield. Variety classification of theexperiments showed the good nature of the classification in geographical distribution due to exposure of foreign
varieties groups in similar groups. In factor analysis the first factor was introduced as the performance factor with
33.890% of the total variation.
REFERENCES
[1] Almodares, A., Taheri, R., and Safavi, V. 2008. Sorghum. Isfahan Jahad. Daneshgahi Press First Edition.
263pp.
[ 2] Belton, D. S., and Taylor, J. R. N. 2004. Trends in Food Science and Technology. 15: 94-98.
[3] Defoor, D. J., Cole, N. A., Galgean, M. L., and Jones, O. R. 2001.Journal of Animal Science. 79: 19-25.
[4] Anonymous, Food and Agricultural Organization. 2007. Crops production, sorghum harvesting area, Retrieved
November, 15, 2009, from http: //www.fao.org/crops production.[5] Borojevic, S., 1990. crop Sci. 17:145-152.
[6] Jafari, AS., Nosrati Nygjh, M.. Heidari Sharif Abad, H., 2003. Quarterly Journal of genetics and plant breeding
for forestry Iran (11): 63-103, published by Research Institute of Forests and Rangelands, Tehran.
[7] Farshadfar, AS., 1998. Application of Quantitative Genetics in Plant Breeding (Volume I), publications, Tagh
Bostan, Razi University.
1413121110987654321
Component Number
6
5
4
3
2
1
0
Eigenvalue
Scree Plot