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. 2013 May 31;3(7):2047–2060. doi: 10.1002/ece3.615

Table 1.

Summary of the posterior distributions of relevant parameters for the three competing models

Parameters H1. No IH H2. Fixed IH H3. Variable IH



Mean 2.5% LCI 97.5% LCI Mean 2.5% LCI 97.5% LCI Mean 2.5% LCI 97.5% LCI
Inline graphic 0.62 0.55 0.67 0.66 0.59 0.72 0.65 0.58 0.71
Inline graphic 0.50 0.42 0.57 0.54 0.45 0.62 0.52 0.43 0.60
ψEE 0.67 0.62 0.72 0.67 0.61 0.73 0.67 0.60 0.72
ψSE 0.67 0.61 0.72 0.76 0.70 0.81 0.74 0.68 0.79
Inline graphic −0.06 −0.10 −0.03 −0.06 −0.10 −0.01 −0.06 −0.10 −0.02
Inline graphic −0.08 −0.12 −0.04 −0.10 −0.15 −0.06 −0.09 −0.14 −0.05
Inline graphic 0.12 0.09 0.18 0.14 0.10 0.19 0.13 0.09 0.19
Inline graphic 0.15 0.13 0.18 0.13 0.10 0.16
Inline graphic 0.18 0.13 0.23
Inline graphic 0.11 0.01 0.20

The acronym “IH” stands for “individual heterogeneity”. The mean, and the lower (2.5%) and upper (97.5%) limits of a 95% credible interval (LCI), of the posterior distribution are shown. Symbols with a star (e.g., Inline graphic) correspond to parameters which value has been transformed back to the more interpretable scale of a probability of reproduction (i.e., in the interval [0,1]). The parameters displayed in this table are as follows: (i) Inline graphic, mean reproductive rate, corresponding to a theoretical value (logit−1(μ)) averaging across states (k), ages, years, and individuals; (ii) rates of reproduction, specific to the reproductive state k at t − 1 and averaged across ages, years, and individuals: first-time breeders (ψFE), experienced breeders (ψEE), and skip breeders (ψSE), (iii) first-order Inline graphic and second-order Inline graphic age-effect parameters; we note that both posterior means of Inline graphic and Inline graphic are negative, but the quadratic trend is still parabolic concave (Fig. 2) because age values were standardized (see Methods); (iv) standard deviation of the normal distribution of random year effects Inline graphic, of random “baseline” individual effects Inline graphic, and of random individual effects expressed during iceberg years Inline graphic; and (v) the correlation between the two types of individual effects (ρα,β).