Table S2 Environmental co-variates (posterior mean showed) and their Bayesian Credibility Intervals [lower (l-) and upper (u-) BCI and p-MCMC] of the four Linear Mixed Models (LMMs) fitted for the four behaviors studied in this study and the habitat characteristics of the center of the home range (Grain size and depth). from Repeatability of circadian behavioural variation revealed in free-ranging marine fish

Repeatable between-individual differences in the behavioural manifestation of underlying circadian rhythms determine chronotypes in humans and terrestrial animals. Here, we have repeatedly measured three circadian behaviours, awakening time, rest onset related and rest duration in the free-ranging pearly razorfish, <i>Xyrithchys novacula</i>, facilitated by acoustic tracking technology and Hidden Markov Models. In addition, daily travelled distance, a standard measure of daily activity as fish personality trait, was repeatedly assessed using a State-Space Model. We have decomposed the variance of these four behavioural traits using linear mixed models and estimated repeatability scores (<i>R</i>) while controlling for environmental co-variates: year of experimentation, spatial location of the activity, fish size and gender and their interactions. Between- and within-individual variance decomposition revealed significant <i>R</i>s in all traits suggesting high predictability of individual circadian behavioural variation and the existence of chronotypes. The decomposition of the correlations among chronotypes and the personality trait studied here into between- and within-individual correlations did not reveal any significant correlation at between-individual level. We therefore propose circadian behavioural variation as independent axis of the fish personality and the study of chronotypes and their consequences as a novel dimension understanding within-species fish behavioural diversity.