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Appendix S1 Units and references.

Appendix S2 Best candidate models on the relationship between ln male brain size (response) and predictors: ln male body mass, male polygamy scores, parental care (scores of male care and female care), offspring development and ecological effects (see 'Materials and methods').

Appendix S3 Best candidate models on the relationship between ln female brain size (response) and predictors: female polygamy scores, parental care (scores of male care and female care), offspring development and ecological effects (see 'Materials and methods').

Appendix S4 Contingency table on mating system and parental care system.

Appendix S5 MCMCglmm. Model structure and priors.

Appendix S6 Diagnostics of MCMCglmm.

Appendix S7 Online file, readable in R, with 1000 reconstructions of the most likely transitions in mating systems during the evolutionary history of shorebirds.

Appendix S8 Evolutionary rates of scaled measurements of brain and body sizes in shorebird mating systems.

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