Table 2.

Estimates of genetic ($r_g$) and phenotypic ($r_p$) correlations and of regression coefficients ${\lambda }_{i,Genus}$ between the considered genera and each of the four traits

Trait	Genusa	$r_g$	SE	$r_p$	SE	${\lambda }_{i,Genus}$b	SE
P utilization	Bacillus	0.36	0.35	0.14	0.04	0.081	0.026
	Enterococcus	− 0.19	0.38	− 0.09	0.04	− 0.039	0.016
	Escherichia/Shigella	− 0.07	0.35	− 0.07	0.04	− 0.026	0.014
	Lactococcus	0.52	0.36	0.13	0.04	0.055	0.020
	Leuconostoc	0.48	0.35	0.13	0.04	0.070	0.024
	Streptococcus	− 0.14	0.37	− 0.09	0.04	− 0.030	0.013
Feed intake	Bacillus	0.35	0.34	0.29	0.06	0.095	0.023
	Curtobacterium	0.17	0.36	0.20	0.05	0.029	0.009
	Lactococcus	0.37	0.37	0.27	0.06	0.057	0.018
	Leuconostoc	0.47	0.34	0.31	0.07	0.082	0.021
	Microbacterium	− 0.03	0.40	0.17	0.05	0.028	0.011
Body weight gain	Bacillus	0.35	0.39	0.23	0.05	0.102	0.025
	Curtobacterium	0.41	0.37	0.19	0.04	0.035	0.010
	Enterococcus	− 0.69	0.33	− 0.15	0.04	− 0.054	0.015
	Lactococcus	0.48	0.40	0.24	0.05	0.076	0.019
	Leuconostoc	0.47	0.39	0.25	0.05	0.097	0.023
	Macrococcus	0.15	0.37	− 0.16	0.07	− 0.024	0.012
	Streptococcus	0.16	0.42	− 0.11	0.04	− 0.056	0.013
Feed per gain	Aerococcus	0.25	0.41	0.12	0.04	0.038	0.011
	Clostridium sensu stricto	0.15	0.37	− 0.11	0.04	− 0.050	0.013
	Cutibacterium	− 0.25	0.41	0.09	0.04	0.027	0.011
	Enterococcus	0.54	0.40	0.17	0.04	0.058	0.016
	Escherichia/Shigella	0.01	0.41	− 0.09	0.04	− 0.035	0.014
	Lactococcus	− 0.38	0.43	− 0.07	0.05	− 0.064	0.020
	Ruminococcus 2	− 0.33	0.47	0.11	0.04	0.039	0.015
	Sellimonas	− 0.27	0.48	0.10	0.04	0.014	0.006
	Staphylococcus	− 0.13	0.43	0.14	0.04	0.058	0.020
	Streptococcus	0.32	0.43	0.12	0.04	0.038	0.013

SE standard errors

^aAll genera with a significant heritability (p ≤ 0.05), significant Pearson correlation (p ≤ 0.05) and significant structural coefficient (p ≤ 0.05) between the genus and the considered trait

^bIn units ${\sigma }_p$