Table 2 Estimates of genetic parameters from the two linear mixed models (a) with independent units and (b) with autoregressive order one spatial residual structure. \({\sigma }_{a}^{2}\) is additive genetic variance; \({\sigma }_{e}^{2}\) is residual variance; \({\sigma }_{\eta }^{2}\) is random residual variance from spatial model; ρcol and ρrow are autocorrelations for the columns and rows, respectively; \({h}_{i}^{2}\) is individual narrow-sense heritability. Standard errors of estimates are given in parentheses
(a) Genetic parameters model with residual being independent units (regular model) | ||||||
|---|---|---|---|---|---|---|
Traits | \({{\varvec{\sigma}}}_{{\varvec{a}}}^{2}\)(SE) | \({{\varvec{\sigma}}}_{{\varvec{e}}}^{2}\)(SE) | \({{\varvec{h}}}_{{\varvec{i}}}^{2}\)(SE) | |||
Lesion length | 1.11 (0.08) | 0.66 (0.03) | 0.63 (0.02) | |||
Height | 320 (85.3) | 375 (58.5) | 0.46 (0.10) | |||
Christmas tree score | 0.17 (0.07) | 1.96 (0.08) | 0.08 (0.03) | |||
Flushing score | 0.54 (0.10) | 0.36 (0.07) | 0.60 (0.09) | |||
Density score | 0.41 (0.12) | 1.41 (0.10) | 0.23 (0.06) | |||
Number of buds | 0.49 (0.16) | 1.73 (0.12) | 0.22 (0.07) | |||
(b) Genetic parameters from model with autoregressive order one spatial residual structure (spatial model) | ||||||
Traits | \({{\varvec{\sigma}}}_{{\varvec{a}}}^{2}\)(SE) | \({{\varvec{\sigma}}}_{{\varvec{\eta}}}^{2}\)(SE) | ρrow | ρcol | \({{\varvec{h}}}_{{\varvec{i}}}^{2}\)(SE) | |
Height | 339 (59.76) | 125 (39.22) | 0.85 | 0.98 | 0.73 (0.10) | |
Christmas tree score | 0.16 (0.07) | 1.62 (0.07) | 0.55 | 0.98 | 0.09 (0.04) | |
Flushing score | 0.55 (0.10) | 0.25 (0.07) | 0.63 | 0.74 | 0.69 (0.10) | |
Density score | 0.37 (0.11) | 1.15 (0.08) | 0.77 | 0.97 | 0.24 (0.07) | |
Number of buds | 0.50 (0.16) | 1.48 (0.12) | 0.63 | 0.98 | 0.25 (0.07) | |