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Table S1 Estimates of the beta coefficient for covariates of interest (variables of the models that were better supported than the base model in Table 1) on survival of great tits.

Table S2 Results of model selection based on AIC for mixed effect models with Poisson errors, examining the influence of Mhc-linked factors on clutch size.

Table S3 Results of model selection based on AIC for mixed effect models with Poisson errors, examining the influence of Mhc-linked factors on hatching success.

Table S4 Results of model selection based on AIC for mixed effect models with Poisson errors and an overdispersion correction, examining the influence of Mhc-linked factors on fledging success.

Table S5 Results of model selection based on AIC for mixed effect models with Poisson errors and an overdispersion correction, examining the influence of Mhc-linked factors on lifetime reproductive success (LRS).

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