Supplementary Tables
Table 4 Crown rot (CR) incidence mixed effect model best linear unbiased estimators and variance of
random effects
Category of
explanatory variable
Fixed effects
Explanatory variable
Estimatea
SEd
|t|<p-valuec
Environment one (Intercept)b
Environment two
Environment three
Sampling stage (linear) : Environment one
Sampling stage (linear) : Environment two
Sampling stage (linear) : Environment three
0.018
0.155
NA
0.956
0.215
<0.001
0.957
0.216
<0.001
1.649
0.214
<0.001
0.911
0.562
0.002
-0.022
0.290
0.941
Variance
SDe
Random effects
Sampling stage : Genotype : Environment one
0.252
0.502
Sampling stage : Genotype : Environment two
0.263
0.513
Sampling stage : Genotype : Environment three
0.373
0.611
Genotype : Environment one
0.196
0.443
Genotype : Environment two
0.395
0.628
Genotype : Environment three
0.401
0.633
Environment one, ambient CO2 ambient temperature; Environment two, elevated CO2 ambient temperature; Environment three,
elevated CO2 elevated temperature. aData shown have been transformed with logit for the binomial model; bintercept represents the
primary values of each factor, i.e. Environment 1 at node development. cP values refer to significant differences to the intercept value.
dstandard error; estandard deviation. NA – not applicable
Table 5 Crown rot (CR) severity mixed effect model best linear unbiased estimators and variance of
random effects
Category of
explanatory variable
Fixed effects
Explanatory variable
Environment one (Intercept) b
Environment two
Environment three
Sampling stage (linear) : Environment one
Sampling stage (linear) : Environment two
Sampling stage (linear) : Environment three
Estimatea
SEd
|t|< p-valuec
2.825
0.872
NA
4.954
0.452
0.008
4.142
0.372
0.003
3.915
0.407
<0.001
6.312
0.556
<0.001
4.305
0.566
0.495
Variance
SDe
Random effects
Sampling stage : Genotype : Environment one
1.163
1.078
Sampling stage : Genotype : Environment two
1.928
1.389
Sampling stage : Genotype : Environment three
2.071
1.439
Genotype : Environment one
1.050
1.025
Genotype : Environment two
1.929
1.389
Genotype : Environment three
0.854
0.924
Tillers per plant
5.451
2.335
Residual
5.540ǂ
2.353
Environment one, ambient CO2 ambient temperature; Environment two, elevated CO2 ambient temperature; Environment three,
elevated CO2 elevated temperature. aData shown have been transformed using a square root; bintercept represents the primary values
of each factor, i.e. Environment 1 at node development. cP values refer to significant differences to the intercept value. dstandard error;
e
standard deviation. NA – not applicable
Table 6 Relative Fusarium biomass mixed effect model best linear unbiased estimators and variance of
random effects
Category of
explanatory variable
Fixed effects
Explanatory variable
Estimatea
SEd
|t|< p-valuec
Environment one (Intercept) b
Environment two
Environment three
Sampling stage (linear) : Environment one
Sampling stage (linear) : Environment two
Sampling stage (linear) : Environment three
0.400
0.082
<0.001
0.669
0.064
<0.001
0.449
0.065
0.063
0.834
0.089
<0.001
1.364
0.122
<0.001
0.940
0.123
<0.001
Variance
SDe
Random effects
Biological rep
0.558
0.747
Genotype
0.065
0.255
Dilution rep : DNA extraction rep
0.024
0.154
Residual
0.019
0.141
Environment one, ambient CO2 ambient temperature; Environment two, elevated CO2 ambient temperature; Environment three,
elevated CO2 elevated temperature. aData shown have been transformed using the formula log(x + 1); bintercept represents the
primary values of each factor, i.e. Environment 1 at node development. cP values refer to significant differences to the intercept value.
dstandard error; estandard deviation Intercept represents the primary values of each factor, i.e., Environment 1 at node development.
Table 7 Plant dry weight mixed effect model best linear unbiased estimators and variance of random
effects.
Category of
explanatory variable
Fixed effects
Explanatory variable
Environment one (Intercept)b
Environment two
Environment three
Sampling stage (linear) : Environment one
Sampling stage (quadratic) : Environment one
Sampling stage (cubic)
: Environment one
Sampling stage (linear)
: Environment two
Sampling stage (quadratic) : Environment two
Sampling stage (linear)
: Environment three
Sampling stage (quadratic) : Environment three
CR severity
: Environment one
CR severity
: Environment two
CR severity
: Environment three
Sampling stage (linear)
: CR severity
Estimatea
SEd
|t|< P-valuec
1.754
0.100
NA
2.171
0.032
<0.001
1.563
0.043
<0.001
1.102
0.033
<0.001
-0.145
0.032
<0.001
-0.085
0.033
0.01
1.369
0.049
<0.001
-0.313
0.044
<0.001
0.533
0.047
<0.001
-0.270
0.044
0.004
0.0018
0.001
0.118
0.0003
0.0005
0.516
0.002
0.0005
<0.001
-0.006
0.002
0.032
Variance
SDe
Random effects
Genotype : Environment one
0.0203
0.142
Genotype : Environment two
0.0048
0.069
Genotype : Environment three
0.0196
0.140
Number of tillers
0.0731
0.270
Residual
0.0473
0.217
Environment one, ambient CO2 ambient temperature; Environment two, elevated CO2 ambient temperature; Environment three,
elevated CO2 elevated temperature, aData shown have been transformed using a square root; bintercept represents the primary values
of each factor, i.e. Environment 1 at node development. cP values refer to significant differences to the intercept value. dstandard error;
estandard deviation. NA – not applicable
Table 8 Plant dry weight influenced by 'length of browning’ at crop maturity sampling stage as explained
by a GAM model
Coefficient
Standard Error
P value (>|t|)
Model factors
Environment one
5.79
0.26
< 0.001
Environment two
8.17
0.4
< 0.001a
Environment three
4.03
0.36
< 0.001a
Environment one x
-0.014
0.004
0.0002
Length of Browning
Environment two x
-0.008
0.005
0.161b
Length of Browning
Environment three x
0.0009
0.004
0.001b
Length of Browning
Adjusted R squared value of 0.404; aP value indicates the statistical difference to Environment one, bP values
indicates the statistical difference to the Environment one by length of browning interaction.
Table 9 Plant dry weight as influenced by relative biomass at each treatment at crop maturity sampling
stage as explained by a GAM model
Coefficient
Standard Error
P value (>|t|)
Model factors
Environment one
5.39
0.22
< 0.001
Environment two
7.64
0.34
< 0.001a
Environment three
4.44
0.35
0.007a
Environment one x
-0.044
0.017
0.012
Length of Browning
Environment two x
-0.026
0.021
0.391b
Length of Browning
Environment three x
0.037
0.027
0.790 b
Length of Browning
Adjusted R squared value of 0.375; aP value indicates the statistical difference to Environment one, bP values
indicates the statistical difference to the Environment one, length of browning interaction.
Table 10: Incidence best unbiased linear predictors for each genotype at each
Environment and sampling stage
Environment one
Environment two
Env
Ambient CO2
Cool temperatures
Elevated CO2
Cool temperatures
Wa
Genotype
Node
development
Anthesis
Soft Dough
Harvest
Mature
Node
development
Anthesis
Soft Dough
Harvest
Mature
Node
development
Anthe
Yitpi
L2-120
Frontana
Lang
E34
2_49
Janz
Drysdale
Hartog
Magenta
EGA Wylie
Wyalkatchem
Kennedy
Sunco
Tamaroi
SB 139
0.112
0.219
0.207
0.223
0.134
0.252
0.210
0.220
0.239
0.293
0.262
0.239
0.236
0.290
0.243
0.258
0.286
0.276
0.395
0.331
0.461
0.519
0.477
0.545
0.312
0.563
0.410
0.510
0.574
0.568
0.679
0.648
0.356
0.375
0.569
0.498
0.660
0.563
0.596
0.605
0.724
0.519
0.695
0.588
0.725
0.771
0.690
0.788
0.443
0.511
0.542
0.764
0.653
0.619
0.715
0.715
0.813
0.724
0.757
0.817
0.831
0.784
0.855
0.832
0.207
0.176
0.275
0.378
0.229
0.413
0.396
0.282
0.244
0.486
0.427
0.460
0.170
0.155
0.307
0.224
0.599
0.265
0.712
0.533
0.707
0.688
0.812
0.714
0.574
0.832
0.580
0.817
0.569
0.392
0.894
0.780
0.768
0.363
0.874
0.648
0.810
0.729
0.822
0.806
0.884
0.795
0.881
0.872
0.766
0.706
0.908
0.895
0.885
0.745
0.929
0.944
0.888
0.928
0.951
0.925
0.951
0.950
0.918
0.974
0.936
0.727
0.977
0.954
0.449
0.250
0.514
0.373
0.448
0.700
0.488
0.485
0.499
0.683
0.469
0.564
0.399
0.271
0.670
0.429
0.68
0.31
0.63
0.64
0.69
0.68
0.78
0.71
0.61
0.77
0.55
0.68
0.48
0.45
0.84
0.67
Table 11: CR severity (mm) best unbiased linear predictors for each genotype at
each Environment and sampling stage
Environment one
Environment two
Env
Ambient CO2
Cool temperatures
Elevated CO2
Cool temperatures
Wa
Genotype
Node
development
Anthesis
Soft Dough
Harvest
Mature
L2-120
Yitpi
Frontana
Janz
Lang
Drysdale
Sunco
Hartog
EGA Wylie
Wyalkatchem
Kennedy
E34
Magenta
2_49
SB 139
Tamaroi
0.001
0.315
0.078
0.000
0.035
0.000
0.720
0.043
0.865
0.230
0.052
0.396
1.142
1.256
0.499
2.450
1.242
1.889
1.357
1.615
1.363
3.266
4.487
1.102
5.915
3.936
4.218
7.365
9.187
9.029
6.642
12.743
4.944
6.011
13.185
6.692
9.899
10.381
17.703
9.392
14.636
12.751
6.935
20.712
18.295
24.150
28.892
42.087
11.708
14.797
18.339
27.229
26.973
27.031
24.187
40.345
34.351
41.497
49.987
37.559
40.114
38.596
48.382
86.092
Node
development
0.459
3.563
3.048
2.837
0.884
1.690
0.000
1.361
0.155
0.786
0.070
0.572
0.313
1.064
0.061
0.168
Anthesis
Soft Dough
Harvest
Mature
Node
development
Anthe
11.162
22.663
21.032
19.473
12.217
14.896
4.287
15.303
8.751
17.449
5.877
15.477
15.045
16.377
9.739
10.072
33.420
56.520
72.176
48.771
36.898
53.670
25.216
39.693
38.628
38.384
24.122
41.916
43.263
38.339
50.317
34.161
67.283
125.326
130.998
102.686
86.896
90.452
47.944
102.917
65.155
89.875
78.463
86.700
77.342
84.955
76.436
104.971
0.014
8.032
5.471
2.257
0.611
2.046
0.049
1.190
0.933
0.946
0.083
3.343
5.389
5.676
1.306
3.294
5.12
22.3
19.8
13.1
8.58
9.96
1.96
10.4
8.11
11.5
2.30
14.9
20.5
19.4
9.40
17.6