Fully and Partially Replicated Experimental Designs for Evaluating Intravarietal Variability in Grapevine
Table 2
Variance components estimates, REML log-likelihood ratio test for ,, and (to test the variance components associated to the effects of the experimental design), and the increase in efficiency (EF) of RCD analysis compared to the analysis without the effects of the experimental design (based on values).
Field trial1/year
Model
(SE)
(SE)
(SE)
(SE)
(SE)
AIC
REMLRT ( value)
EF (%)
AN/2019
M0
1.697 (0.460)
9.728 (0.587)
2246.82
0.507
RCD
1.797 (0.451)
0.834 (0.611)
0.344 (0.233)
0.228 (0.219)
8.344 (0.557)
2208.63
44.18 (<0.001)
0.549
+8.27
AR/2019
M0
0.992 (0.179)
3.590 (0.177)
2409.55
0.622
RCD
1.074 (0.173)
0.462 (0.327)
0.398 (0.103)
0.140 (0.063)
2.587 (0.140)
2263.92
151.62 (<0.001)
0.695
+11.63
AR/2020
M0
0.917 (0.192)
4.702 (0.232)
2657.87
0.537
RCD
1.095 (0.193)
0.869 (0.573)
0.180 (0.086)
0.039 (0.058)
3.601 (0.194)
2503.58
160.29 (<0.001)
0.636
+18.41
AR/2021
M0
2.064 (0.327)
5.249 (0.258)
2838.40
0.702
RCD
2.176 (0.325)
0.510 (0.361)
0.437 (0.136)
0.072 (0.074)
4.220 (0.228)
2746.68
97.72 (<0.001)
0.744
+6.02
BT/2018
M0
0.777 (0.082)
1.311 (0.055)
2358.09
0.703
RCD
0.768 (0.080)
0.010 (0.017)
0.103 (0.029)
0.035 (0.018)
1.166 (0.053)
2317.88
46.21 (<0.001)
0.712
+1.31
BT/2019
M0
0.822 (0.135)
3.747 (0.158)
3706.29
0.466
RCD
0.877 (0.133)
0.083 (0.091)
0.249 (0.073)
0.149 (0.057)
3.249 (0.146)
3649.09
63.21 (<0.001)
0.501
+7.54
BT/2020
M0
0.577 (0.101)
2.936 (0.124)
3324.10
0.438
RCD
0.637 (0.099)
0.198 (0.174)
0.170 (0.053)
0.009 (0.026)
2.555 (0.114)
3236.39
93.70 (<0.001)
0.488
+11.29
BT/2021
M0
1.385 (0.192)
4.592 (0.194)
4069.52
0.546
RCD
1.406 (0.180)
0.283 (0.265)
0.526 (0.121)
0.130 (0.058)
3.682 (0.166)
3933.34
142.18 (<0.001)
0.585
+7.24
GV/2020
M0
0.468 (0.078)
0.969 (0.056)
910.86
0.704
RCD
0.498 (0.077)
0.126 (0.100)
0.075 (0.028)
0.052 (0.024)
0.720 (0.046)
820.88
95.98 (<0.001)
0.757
+7.51
GV/2021
M0
1.008 (0.156)
1.625 (0.094)
1321.77
0.754
RCD
1.050 (0.158)
0.015 (0.029)
0.094 (0.044)
0.111 (0.048)
1.395 (0.090)
1305.76
22.01 (<0.001)
0.773
+2.60
RU/2020
M0
0.223 (0.036)
0.940 (0.039)
1509.98
0.572
RCD
0.224 (0.034)
0.007 (0.011)
0.147 (0.029)
0.000
0.784 (0.035)
1426.68
89.31 (<0.001)
0.600
+5.06
CA/2020
M0
2.263 (0.315)
6.034 (0.257)
3959.06
0.692
RCD
2.349 (0.312)
0.388 (0.286)
0.456 (0.131)
0.198 (0.089)
4.984 (0.231)
3867.44
97.63 (<0.001)
0.725
+4.83
CA/2021
M0
3.543 (0.436)
5.982 (0.255)
4018.68
0.780
RCD
3.694 (0.435)
0.460 (0.337)
0.249 (0.096)
0.554 (0.141)
4.704 (0.219)
3897.67
127.01 (<0.001)
0.812
+4.13
, genotypic variance estimate; , resolvable replicate variance estimate; , columns within replicate variance estimate; , rows within replicate variance estimate; , random error variance estimate; SE, respective standard error; AIC, Akaike information criterion. Broad-sense heritability () obtained with the fitting of two models (model without the effects of the experimental design-M0 and model considering a resolvable row-column design-RCD). 1The abbreviations of the varieties are referred in Table 1.
