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Fig. S1. Prior for a 4 × 4 covariance matrix. Variances are depicted on, covariances below and correlations above the diagonal respectively.

Fig. S2. Tukey plots of the distributions of dentin carbon and nitrogen isotopic values of Southern Elephant Seals from îles Kerguelen.

Fig. S3. Plots of Prior versus Posterior distributions for the covariance matrix of the hierarchical change-point model (8 × 8).

Fig. S4. Dot plots of the individual coefficients ak2[1:4],j for each individual time serie of d 13C values.

Fig. S5. Dot plots of the individual coefficients ak2[1:4],j for each individual time serie of d15N values.

Fig. S6. Spaghetti plots of the raw data for the Southern Elephant Seal data.

Fig. S7. Curves of posterior means of the hierarchical change-point (broken-stick) model (2 × 4 × 4) for the Southern Elephant Seal data.

Table S1. Summary statistics for the Southern Elephant Seal data on dentin stable isotopic measurements.

Table S2. Deviance Information Criterion (DIC).

Appendix S1. WinBUGS code to fit a hierarchical change-point model.

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