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Table 2 Results of the mixed linear model applied to each population for each trait considering all trials and N conditions as confounded (multi-environment model (1)), \( {\boldsymbol{P}}_{\boldsymbol{i}\boldsymbol{jklm}} = \boldsymbol{\mu} +\underline {{\boldsymbol{G}}_{\boldsymbol{i}}} + {\boldsymbol{N}}_{\boldsymbol{j}} + \underline {{\boldsymbol{T}}_{\boldsymbol{l}}}+\underline {{\boldsymbol{T}}_{\boldsymbol{l}}\left({\boldsymbol{R}}_{\boldsymbol{k}}\right)} + \underline {{\boldsymbol{G}}_{\boldsymbol{i}}\times {\boldsymbol{N}}_{\boldsymbol{j}}}+\underline {{\boldsymbol{G}}_{\boldsymbol{i}} \times {\boldsymbol{T}}_{\boldsymbol{l}}} + {\underline {{\boldsymbol{G}}_{\boldsymbol{i}}\times {\boldsymbol{N}}_{\boldsymbol{j}}\times \boldsymbol{T}}}_{\boldsymbol{l}} + \underline {{\boldsymbol{e}}_{\boldsymbol{i}\boldsymbol{jklm}}} \)

From: Genetic basis of nitrogen use efficiency and yield stability across environments in winter rapeseed

    

T

N

G

G × N

G × T

G × N × T

h2 (c)

  

Mean values ± standard error

Number of trials (a)

Var (b)

pvalue

Var

pvalue

Var

pvalue

Var

pvalue

Var

pvalue

Var

pvalue

 

DTF

WOSR

96.32 ± 10.29

7

83.62

***

16.86

***

7.15

***

<10−16

NS

2.56

***

0.27

***

0.94

AM-DH

85.25 ± 6.55

4

29.9

***

7.65

***

16.42

***

<10−16

NS

3.16

***

9.30.10−2

*

0.95

DK-DH

83.87 ± 5.64

2

28.85

***

14.65

***

15.13

***

<10−16

NS

3.21

***

7.54.10−2

NS

0.90

SY

WOSR

2.75 ± 1.07

7

0.66

***

0.12

***

0.31

***

1.01.10−3

NS

0.11

***

1.79.10−2

**

0.92

AM-DH

3.32 ± 0.66

5

2.41

***

5.05

***

0.5

***

<10−16

NS

0.23

***

0.44

***

0.85

DK-DH

2.68 ± 0.63

2

1.85

***

9.32

***

0.62

***

<10−16

NS

0.51

***

0.25

***

0.63

TSW

WOSR

4.64 ± 0.54

7

4.45.10−2

***

9.40.10−3

***

0.17

***

2.56.10−3

**

2.56.10−2

***

6.47.10−3

***

0.97

AM-DH

4.37 ± 0.70

5

0.75

***

0.19

**

4.52.10−2

***

<10−16

NS

1.69.10−2

***

3.85.10−3

***

0.92

DK-DH

3.67 ± 0.58

2

0.51

***

0.25

NS

3.20.10−2

***

1.07.10−3

NS

2.01.10−2

***

7.10.10−4

NS

0.73

SN

WOSR

59,925 ± 24,740

7

3.36.108

***

5.95.107

***

1.66.108

***

1.13.10−6

NS

5.74.107

***

7.48.106

*

0.92

AM-DH

75,428 ± 18,007

5

2.35.108

***

3.97.107

***

2.80.107

***

<10−16

NS

1.47.107

***

3.39.107

***

0.84

DK-DH

73,614 ± 16,275

2

7.46.106

**

1.03.107

***

7.41.107

***

2.58.106

NS

3.65.107

***

9.65.106

NS

0.73

Pr

WOSR

18.61 ± 2.59

7

4.87

***

0.74

***

1.48

***

<10−16

NS

0.32

***

0.16

***

0.94

AM-DH

19.93 ± 2.27

5

4.89

***

0.99

***

0.25

***

2.97.10−14

NS

4.53.10−2

*

0.16

***

0.90

DK-DH

19.08 ± 3.04

2

-

-

-

-

-

-

-

-

-

-

-

-

-

O

WOSR

49.26 ± 2.43

7

1.83

***

0.31

***

2.17

***

8.49.10−3

NS

0.58

***

0.12

***

0.94

AM-DH

47.94 ± 3.36

5

14.11

***

2.87

***

0.6

***

<10−16

NS

0.19

***

0.18

***

0.91

DK-DH

48.73 ± 4.09

2

-

-

-

-

-

-

-

-

-

-

-

-

-

O/Pr

WOSR

2.71 ± 0.46

7

0.11

***

1.75.10−2

***

5.81.10−2

***

<10−16

NS

1.72.10−2

***

7.32.10−3

***

0.95

AM-DH

2.46 ± 0.45

5

0.22

***

4.49.10−2

***

8.66.10−3

***

<10−16

NS

3.44.10−3

***

2.68.10−3

***

0.87

DK-DH

2.65 ± 0.60

2

-

-

-

-

-

-

-

-

-

-

-

-

-

  1. The significance of the genotype (G), nitrogen level (N), trial (T) and their interactions (G × N, G × T, G × N × T) was assessed for each population
  2. (***, p-value < 0.001; **, 0.01 < p-value < 0.001; *, 0.05 < p-value; NS, non-significant; '-', not available)
  3. (a)Number of trials considered for evaluation of the different effects
  4. (b)Var: Variance components
  5. (c)Heritabilities (h2) were calculated according to model (2): \( {\mathrm{h}}^2=\frac{{\sigma^2}_G}{{\sigma^2}_G+\frac{{\sigma^2}_G\kern0.1em \mathrm{x}\kern0.1em \mathrm{N}}{\mathrm{n}}+\frac{{\sigma^2}_G\kern0.1em \mathrm{x}\kern0.1em \mathrm{T}}{\mathrm{T}}+\frac{{\sigma^2}_{\mathrm{e}}}{\mathrm{t}\;\mathrm{x}\;\mathrm{n}\;\mathrm{x}\;\mathrm{r}}} \) for each population; all environments (N × T) were considered as confounded
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BMC Genomic Data

ISSN: 2730-6844

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