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Table S1. Covariance analysis without human longevity, and rhino, whale and elephant body masses.

Table S2. Covariance analysis using life-history data not averaged over species of the same genus.

Table S3. Accession numbers of all sequences included in the multiple sequence alignment.

Table S4. Estimates (95% credibility intervals) of ancestral life-history traits for several ancestral nodes.

Figure S1. Joint reconstruction of divergence times and female maturity (in days).

Figure S2. Joint reconstruction of divergence times and longevity (in years).

Figure S3. Joint reconstruction of divergence times and adult body mass (in grams) under the uncorrelated model.

Figure S4. Posterior distribution on ancestral age at maturity for several ancestors.

Figure S5. Posterior distribution on ancestral longevity for several ancestors.

Figure S6. Joint reconstruction of divergence times and adult body mass (in grams) under the covariant model, without the upper constraint of 65 Myrs on cetartiodactyls.

Figure S7. Joint reconstruction of divergence times and adult body mass (in grams) under the covariant model, using a uniform prior on divergence times.

Figure S8. Estimates of log body size compared between (a) two runs under the diagonal model, using the calibrations of Springer et al, 2003, or Benton et al, 2009 (b) two runs under the covariant model, using the calibrations of Springer et al, 2003, or Benton et al, 2009, (c) the covariant and the diagonal models using the calibrations of Springer et al, 2003, (d) the covariant and the diagonal models using the calibrations of Benton et al, 2009.

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