Table 2 Prior, posterior median, and 95% credible intervals (CI) for blackbelly rosefish von Bertalanffy growth model (VBGM) parameters and derived parameters.

From: Eye lens-derived Δ14C signatures validate extreme longevity in the deepwater scorpaenid blackbelly rosefish (Helicolenus dactylopterus)

Parameter

Prior

Posterior median (95% CI)

\(\widehat{R}\)

\({L}_{\infty }\)(mm)

\({L}_{\infty }\)~ HN(402.5, 201.3)

399.8 (392.5–407.7)

1.00

L0 (mm)

\({L}_{0}\)~ HN(2.80, 1.40)*

2.95 (0.50–5.66)

1.00

k (y−1)

\(logit(k)\)~ N(0.074,0.037)

0.076 (0.071–0.081)

1.00

\({\upsigma }_{obs}\)

\({\upsigma }_{obs}\)~ HN(31.49, 15.74)

1.50 (1.35–1.67)

1.00

\({\upsigma }_{VB}\)

\({\upsigma }_{VB}\)~ HN(31.49, 15.74)

0.088 (0.082–0.096)

1.00

t0

 − 0.10 (− 0.19– − 0.02)

  1. \({L}_{\infty }\) is the asymptotic length, L0 is the length at birth, k is the Brody growth coefficient, \({\upsigma }_{\text{obs}}\) is the measure of inter-reader error, \({\upsigma }_{VB}\) is the likelihood standard deviation of the VBGM, and t0 is the theoretical age at length zero. \(\widehat{R}\) is the Gelman-Rubin convergence diagnostic.
  2. *Informed by Moser et al.64.