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. 2016 Sep;12(9):20160417. doi: 10.1098/rsbl.2016.0417

Table 1.

Summary of fixed and random effects from generalized linear mixed models (GLMMs) of maternal survival and fecundity the year after giving birth to a calf. (‘Parameter estimate’ gives the mode of the posterior distribution for the coefficient of that variable; parameter estimates are on the link scale for the GLMM (logit link for binomial errors). ΔR2 shows the change in marginal R2 (which is a %) when each fixed effect is dropped from the model in turn.)

variable parameter estimate lower CI upper CI PMCMC ΔR2
survival n = 2888 (636 females) marginal R2 = 27.64%
 random effects year 0.638 0.267 1.099
 fixed effects age 0.421 0.202 0.666 <0.001 −16.66
age2 −0.038 −0.051 −0.027 <0.001
population size −0.014 −0.025 −0.003 0.004 −2.79
calf birth date −0.021 −0.030 −0.014 <0.001 −2.21
calf sex: male −0.384 −0.705 −0.080 0.023 −0.65
calf survival −1.844 −2.582 −1.198 <0.001 −5.03
fecundity n = 2600 (602 females) marginal R2 = 29.04%
 random effects year 0.754 0.348 1.172
maternal ID 1.963 1.381 2.612
 fixed effects age 0.901 0.697 1.088 <0.001 −3.55
age2 −0.054 −0.065 −0.043 <0.001
population size −0.029 −0.040 −0.019 <0.001 −7.19
calf birth date −0.043 −0.052 −0.034 <0.001 −5.55
calf sex: male −0.347 −0.570 −0.085 0.003 −0.50
calf survival −3.564 −4.077 −3.071 <0.001 −14.38