Genomic prediction for root and yield traits of barley under a water availability gradient: a case study comparing different spatial adjustments

Table 2 Variance components and genetic parameter estimates for above-ground traits

Trait	\({\widehat{\sigma }}_{g}^{2}\)	\({\widehat{\sigma }}_{l}^{2}\)	\({\widehat{\sigma }}_{{n}_{g}}^{2}\)	\({\widehat{\sigma }}_{{n}_{l}}^{2}\)	\({\widehat{\sigma }}_{r}^{2}\)	\({\widehat{\sigma }}_{tg}^{2}\)	\({\widehat{\sigma }}_{tl}^{2}\)	\({\widehat{\sigma }}_{s1}^{2}\)	\({\widehat{\sigma }}_{s2}^{2}\)	\({\widehat{\sigma }}_{e}^{2}\)	\({\widehat{h}}^{2}\)^a	\({\widehat{H}}^{2}\)^a	\(GCV\)(%)
GY_AM1	0.23	0.11	3.7E−07	2.5E−07	0.13	0.01	0.01	0.12	0.06	0.48	0.22	0.32	6.8
GY_AM2	0.24	0.09	9.9E−04	2.6E−07	0.14	0.01	0.01	0.15	0.04	0.50	0.22	0.31	7.0
GPC_AM1	0.09	0.01	2.6E−08	1.4E−07	0.03	3.5E-03	1.8E−03	0.26	0.16	0.04	0.24	0.27	3.2
GPC_AM2	0.10	0.01	3.1E−08	1.0E−07	0.10	2.6E-03	4.3E−03	0.45	0.18	0.05	0.19	0.20	3.4
GNR_AM1	50.1	12.6	1.1E−06	0.65	34.3	3.9E-06	5.32	89.6	43.9	112.2	0.18	0.23	6.6
GNR_AM2	55.7	7.24	0.20	1.24	48.8	0.02	8.27	111.8	40.4	118.7	0.18	0.20	7.0
TKW_AM1	8.97	4.49	9.7E−03	6.0E−08	0.55	0.01	3.0E−10	0.44	1.41	2.62	0.52	0.78	5.7
TKW_AM2	8.66	4.79	5.2E−10	2.0E−10	0.67	0.01	7.3E−10	0.20	1.23	3.02	0.49	0.76	5.6

GY grain yield, GPC grain protein content, GNR grain nitrogen removal, TKW thousand kernel weight, \({\widehat{{\varvec{\sigma}}}}_{{\varvec{g}}}^{2}\) estimated additive genomic variance, \({\widehat{{\varvec{\sigma}}}}_{{\varvec{l}}}^{2}\): estimated line variance, \({\widehat{{\varvec{\sigma}}}}_{{{\varvec{n}}}_{{\varvec{g}}}}^{2}\): estimated additive genomic variance for the neighbor lines, \({\widehat{{\varvec{\sigma}}}}_{{{\varvec{n}}}_{{\varvec{l}}}}^{2}\): estimated line variance for the neighbor lines, \({\widehat{{\varvec{\sigma}}}}_{{\varvec{r}}}^{2}\): estimated row variance, \({\widehat{{\varvec{\sigma}}}}_{{\varvec{t}}{\varvec{g}}}^{2}\): estimated variance for genomic additive-by-treatment interaction, \({\widehat{{\varvec{\sigma}}}}_{{\varvec{t}}{\varvec{l}}}^{2}\): estimated variance for line-by-treatment interaction, \({\widehat{{\varvec{\sigma}}}}_{{\varvec{s}}1}^{2}\): estimated spatial variance for wet treatment, \({\widehat{{\varvec{\sigma}}}}_{{\varvec{s}}2}^{2}\): estimated spatial variance for dry treatment, \({\widehat{{\varvec{\sigma}}}}_{{\varvec{e}}}^{2}\): estimated residual variance, \({\widehat{{\varvec{h}}}}^{2}\): narrow-sense heritability, \({\widehat{{\varvec{H}}}}^{2}\): broad-sense heritability, \({\varvec{G}}{\varvec{C}}{\varvec{V}}\): genetic coefficient of variation.
^aHeritabilities are presented as an average over treatment. Standard errors of variance estimates are presented in Additional file 5

ISSN: 1746-4811