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Research Article

The Interrelationship of Agronomic and Physiological Traits as Affected by Irrigation Regimes in Wheat: Application of Multivariate Statistical Analyses

Plant Breeding and Biotechnology 2017;5(3):172-182.
Published online: September 1, 2017

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*Corresponding author: Bahram Heidari, bheidari@shirazu.ac.ir, Tel: +98-36138176, Fax: +98-32286134
• Received: May 13, 2017   • Revised: July 16, 2017   • Accepted: July 31, 2017

Copyright © 2017 The Korean Society of Breeding Science

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/4.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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The Interrelationship of Agronomic and Physiological Traits as Affected by Irrigation Regimes in Wheat: Application of Multivariate Statistical Analyses
Plant Breed. Biotech.. 2017;5(3):172-182.   Published online September 1, 2017
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The Interrelationship of Agronomic and Physiological Traits as Affected by Irrigation Regimes in Wheat: Application of Multivariate Statistical Analyses
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The Interrelationship of Agronomic and Physiological Traits as Affected by Irrigation Regimes in Wheat: Application of Multivariate Statistical Analyses
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Fig. 1 Similarities of genotypes based on Euclidean distances for agronomic traits collected under irrigation condition. Numbers refer to the code of genotypes in Table 1.
Fig. 2 Similarities of genotypes based on Euclidean distances for agronomic traits collected under drought condition. Numbers refer to the code of genotypes in Table 1.
The Interrelationship of Agronomic and Physiological Traits as Affected by Irrigation Regimes in Wheat: Application of Multivariate Statistical Analyses

Code, type and maturity of wheat genotypes.

Code Genotype Type Maturity
1 Pyshtaz Commercial Late
2 Mihan Commercial Late
3 Chamran Commercial Early
4 Sirvan Commercial Late
5 Shiroodi Commercial Late
6 Shiraz Commercial Late
7 Cross-bolani  Commercial  Late
8 BA15 Swiss Late
9 BA13 Swiss Late
10 SPQ757 Swiss Late
11 KC3891 Landrace Early
12 KC3892 Landrace Early
13 KC3893 Landrace Early
14 KC4929 Landrace Early
15 KC4848 Landrace Early
16 KC4856 Landrace Early
17 KC4863 Landrace Early
18 KC4512 Landrace Late
19 KC4567 Landrace Intermediate 
20 KC4580 Landrace Intermediate
21 KC4528 Landrace Intermediate
22 KC4537 Landrace Early
23 KC4557 Landrace Early
24 KC4551 Landrace Early
25 KC4552 Landrace Early
26 KC4642 Landrace Late
27 KC4641 Landrace Intermediate
28 KC4604 Landrace Late
29 KC4630 Landrace Early
30 KC4633 Landrace Early
31 KC4492 Landrace Late
32 KC2165 Landrace Late
33 KC4144 Landrace Late

z)Commercial: Commercial cultivars were well-known wheat that had been used for cultivation in southern regions of Iran, Swiss: Swiss lines are semi-dwarf genotypes that had been used in breeding program in Switzerland for improved disease resistance, and Landrace: the landrace varieties, collected from different regions of Iran.

The meteorology data for the trial filed at School of Agriculture, Shiraz University, Iran in 2014–2015 growing season.

Month Temperature (°C) Precipitation (mm)

 Max  Min Average
October 26.5 −6.0 9.3 27.0
November  25.0 −5.8 6.3 50.5
December 18.5 −10.0 5.2 11.0
January 20.0 −7.0 8.4 48.8
February 20.0 −7.4 7.4 45.0
March 27.0 −2.5 13.6 39.5
April 31.0 1.6 17.6 10.0
May 36.0 7.0 22.9 0.0
June 38.0 13.0 28.9 0.0
Total 231.0

Factor loadings based agronomic traits in wheat genotypes under irrigation regime (three factors) and drought stress (four factors in parenthesis) condition.

Traits Factor loading

Factor 1 Factor 2 Factor 3 Factor 4
Biological yield 0.94 (0.97)z) 0.05 (0.023) −0.088 (0.044) (0.13)
Spike yield 0.92 (0.74) 0.08 (−0.19) −0.11 (0.29) (−0.10)
Harvest index 0.60 (−0.14) −0.19 (−0.14) 0.18 (0.008) (−0.038)
Thousand grain weight 0.30 (0.049) −0.097 (0.049) −0.28 (0.12) (0.014)
Grain yield 0.89 (0.49) −0.15 (−0.82) 0.025 (0.054) (0.077)
Spike length 0.07 (0.13) 0.10 (−0.023) −0.91 (0.93) (0.078)
Grain number per spike 0.16 (0.087) 0.95 (0.077) 0.08 (0.059) (0.92)
Number of spikelet per spike −0.07 (0.043) −0.12 (−0.07) −0.18 (0.17) (0.42)
Plant height 0.32 (0.25) 0.21 (−0.09) −0.24 (0.30) (−0.08)
Proportion of explain variation (%) 34.9 (20.6) 11.9 (19.1) 11.8 (12.2) (12.1)
Cumulative proportion (%) 34.9 (20.6) 46.8 (39.7) 58.6 (51.9) (64.0)

z)Values in parenthesis refer to factors loading under drought stress conditions.

For irrigation regime, only three factors were selected.

Mean of traits in each cluster of genotypes under irrigation regime and drought condition in wheat.

Irrigation regime Drought stress


Cluster 1z) Cluster 2 Cluster 3 Cluster 4 Cluster 1z) Cluster 2 Cluster 3 Cluster 4
Biological yield (g/m2) 649.6b 619.7b 517.1b 1119.6a 221.7a 247.8a 151.3b 173.5b
Spike yield (g/m2) 408.8b 407.8b 327.7b 623.7a 113.4ab 122.5a 85.1c 85.6c
Grain yield (g/m2) 216.0a 187.7b 177.7b 522.2b 85.0a 61.7b 43.7b 46.6b
Harvest index (%) 32.8b 29.5b 33.5b 46.6a 38.5a 25.9b 29.2ac 27.3b
Plant height (cm) 60.0a 66.2a 41.1a 68.6a 57.2a 57.0a 31.4b 53.8a
Spike length (cm) 9.54b 13.14a 9.10b 10.11b 9.97a 9.78a 8.0b 8.4ab
Spikelet per spike 15.1b 16.6a 16.7a 15.1a 15.3a 13.4b 13.7b 13.6b
Grains per spike 37.3a 35.4ab 45.5ab 47.6a 37.4a 28.3b 30.3b 28.1b
Thousand grain weight (g) 40.1ab 45.4a 34.6b 45.7a 35.5a 34.2a 24.8b 36.1a

z)Means within a column followed by different letters indicated a significant difference at the 5% by LSD test.

The correlation coefficients of agronomic traits under fully irrigated (above diagonal) and drought stress (under diagonal) conditions.

Traitsz) PH SPS GN SL TGW HI SY BY GY
GY 0.41** 0.10 0.30* 0.042 0.42* 0.82** 0.87** 0.92** 1
BY 0.55** −0.14 0.18 0.18 0.49** −0.60** 0.92** 1 0.51**
SY 0.52** 0.02 0.18 0.24 0.53** 0.62** 1 0.71** 0.58**
HI 0.08 0.02 0.34* −0.19 0.15 1 0.10 −0.15 0.74**
TGW 0.65** 0.16 0.14 0.54** 1 0.13 0.12 0.13 0.15
SL 0.45** 0.41** −0.11 1 0.31* 0.03 0.45** −0.22 0.20
GN −0.21 0.21 1 0.17 0.03 0.11 0.02 0.19 0.18
SPS 0.06 1 0.70** 0.35* 0.07 0.13 0.19 0.10 0.17
PH 1 0.12 −0.07 0.57** 0.47** 0.06 0.43** 0.39* 0.39*

* and **significant at the 0.05 and 0.01 probability level, respectively.

z)GY: grain yield, BY: biological yield, SY: spike yield, HI: harvest index, TGW: thousand grain weight, SL: spike length, GN: grain number per spike, SPS: spikelet per spike, PH: plant height.

Standardized canonical variables (Agro and Physio) and their correlation with agronomic and physiologic traits in wheat genotypes under drought stress.

Variable Coefficients in canonical variables Correlation with Agro variable Correlation with Physio variable




Agronomic traits (Agr) Agro1 (U1) Agro2 (U2) Agro1(U1) Agro2 (U2) Physio1 (V1) Physio2 (V2)
Biological yield −0.30 0.80 0.08 0.36 0.06 0.24
Spike yield 0.66 −0.30 0.26 0.36 0.20 0.24
Grain yield 0.29 −0.37 0.63 0.25 0.47 0.17
Harvest index 0.34 0.39 0.70 0.04 0.52 0.03
Plant height −0.50 −0.56 −0.31 0.25 −0.23 0.17
Spike length −0.37 0.79 −0.37 0.74 −0.21 0.50
Number of spikelet per spike −0.28 0.57 0.05 0.64 0.03 0.44
Grain number per spike 0.44 −0.25 0.27 0.47 0.20 0.32
Thousand grain weight 0.33 0.42 0.13 0.47 0.09 0.32

Correlation of canonical variables 0.75 (U1,V1) 0.67 (U2,V2)
Canonical Correlation modified 0.59 (U1,V1) 0.61 (U2,V2)

Physiological traitsz) (Physio) Coefficients in canonical variables Correlation with Physio variable Correlation with Agro variable



Physio1 (V1) Physio2 (V2) Physio1 (V1) Physio2 (V2) Agro1 (U1) Agro2 (U2)

RWC 0.11 −0.82 −0.05 0.002 −0.04 0.001
IWC −1.8 0.60 −0.23 0.73 −0.17 0.49
LWC 1.44 0.65 0.023 0.78 0.017 0.53
ELWL −0.41 0.14 0.35 −0.35 −0.26 −0.17
WSD 0.63 0.045 0.63 0.13 0.47 0.09

z)IWC: initial water content, RWC: relative water content, WSD: water saturated deficit, LWC: leaf water content, ELWL: excised leaf water loss.

Table 1 Code, type and maturity of wheat genotypes.

Commercial: Commercial cultivars were well-known wheat that had been used for cultivation in southern regions of Iran, Swiss: Swiss lines are semi-dwarf genotypes that had been used in breeding program in Switzerland for improved disease resistance, and Landrace: the landrace varieties, collected from different regions of Iran.

Table 2 The meteorology data for the trial filed at School of Agriculture, Shiraz University, Iran in 2014–2015 growing season.
Table 3 Factor loadings based agronomic traits in wheat genotypes under irrigation regime (three factors) and drought stress (four factors in parenthesis) condition.

Values in parenthesis refer to factors loading under drought stress conditions.

For irrigation regime, only three factors were selected.

Table 4 Mean of traits in each cluster of genotypes under irrigation regime and drought condition in wheat.

Means within a column followed by different letters indicated a significant difference at the 5% by LSD test.

Table 5 The correlation coefficients of agronomic traits under fully irrigated (above diagonal) and drought stress (under diagonal) conditions.

significant at the 0.05 and 0.01 probability level, respectively.

GY: grain yield, BY: biological yield, SY: spike yield, HI: harvest index, TGW: thousand grain weight, SL: spike length, GN: grain number per spike, SPS: spikelet per spike, PH: plant height.

Table 6 Standardized canonical variables (Agro and Physio) and their correlation with agronomic and physiologic traits in wheat genotypes under drought stress.

IWC: initial water content, RWC: relative water content, WSD: water saturated deficit, LWC: leaf water content, ELWL: excised leaf water loss.