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Table S1 Species included in contingency analysis of form of parental care and egg dummies.

Table S2 Data on mating behaviour and sexual dichromatism for mouthbrooders and the precopulatory sexual selection (PSS) and sperm competition (SC) rank.

Table S3 GenBank accession numbers for the sequences included in the phylogenetic analysis including Heterochromis multidens as outgroup.

Figure S1 Observed transitions (blue crosses and line) and transversions (green triangles and line) against a corrected genetic distance for NADH2 including the outgroup H. multidens.

Figure S2 Observed transitions (blue crosses and line) and transversions (green triangles and line) against a corrected genetic distance for cytochrome B including the outgroup H. multidens.

Figure S3 Posterior distributions of the rate coefficients of the model of trait evolution (form of parental care and egg dummy presence/absence) in a model of dependent evolution with a gamma prior.

Figure S4 Posterior distributions of the rate coefficients of the model of trait evolution (intensity of precopulatory sexual selection and egg dummy presence/absence) in a model of dependent evolution with a gamma prior.

Figure S5 Posterior distributions of the rate coefficients of the model of trait evolution (risk of sperm competition and egg dummy presence/absence) in a model of dependent evolution with a gamma prior.

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