Fig. 9

A Barplot representing the proportion of the phenotypic variance of the four phenotypes explained by the nested effect of sire (S) in red, microbiome (M) in yellow, pen (PEN) in light blue, and the residual error in grey (E). The four indicators are lag of one day of residual (Lag1), natural logarithm of residual variance (LnVar), area under the curve for periods with the largest consecutive negative errors (MaxArea), and sum of residual’s local minima (SumMin). B Violin plot of the posterior density distributions for the microbiability parameter (as the proportion of variance explained by the microbial effect), corresponding to the four resilience indicators mentioned above. The red dot represents the median of each posterior density distribution. The red line represents the HPD₉₅ interval, which provides a measure of the uncertainty associated with the microbiability estimate