Online Supporting Information Appendix S1. Molecular methods DNA extraction, PCR and Sequencing DNA from all blood samples was extracted using the Isolate Genomic DNA Mini Kit (BioLine) following the ‘DNA isolation from animal tissue’ instructions provided with the kit, with a minor modification: 40μl instead of 25μl proteinase K was used. Typically, 25μl PCRs were prepared, comprising the following reagents: 1μl DNA extract, 2μl of each of the forward and reverse primers (10μM each), 12.5μl My Taq HS Red Mix (Bioline) and 7.5μl UV sterilised DNA grade distilled water (dH2O). PCR amplification of target regions was performed on a G-STORM GS1 thermal cycler with: initial denaturation (1 min at 95°C); n cycles (marker-specific; Table 1) of denaturation (15 sec at 95°C), annealing (15 sec at marker-specific temperature; Table 1) and extension (10 sec at 95°C); final 10 min extension at 72°C. PCR results were verified by agarose gel electrophoresis with SybrSAFE staining and visualised using a Bio-Rad Gel DocTM EZ Imager (software: Bio-Rad Image Lab 3.0). PCR products were purified and sequenced by Macrogen (Europe and South Korea). Sequence reads were manually checked and edited using the programmes FINCHTV 1.4 (Geospiza), BIOEDIT 7.2.0 (Hall 1999) and CODONCODE ALIGNER 4.2.4 (CodonCode Corporation, Dedham, MA). Consensus sequences were aligned using the programme CLUSTALX 2.1.12 (Larkin et al. 2007). Molecular sexing Individuals that could not be sexed from their plumage or after examination of gonads were sexed by PCR amplification using P8 (5'-CTCCCAAGGATGAGRAAYTG-3') and P2 (5'TCTGCATCGCTAAATCCTTT-3') primers as per Griffiths et al. (1998). PCR cycling conditions were 95oC for 1 minute followed by 40 cycles of 94°C for 45 seconds, 48°C for 45 seconds and 72°C for 45 seconds and a final elongation step of 72°C for 5 minutes. Amplification volumes of 10ul contained 0.5ul DNA, 5ul My Taq HS Red mix, 0.2ul of each primer and 4.1ul of dH20. All amplicons were examined via electrophoresis on a 3% agarose gel to score sex by PCR product size (males produce a 350 bp product; females produce a 350 bp and 387 bp product). Appendix S2. Details of the ABC analyses ABC analyses Goodness of fit was checked visually by comparing the distance between observed and simulated datasets using Principal Component Analysis on summary statistics (using the gfitpca function from the ABC package; Fig. S3). To assess whether ABC allowed alternative models to be distinguished, we performed a cross-validation step. This step allows estimating model misclassification by considering a given simulated dataset as the pseudo-observed dataset and estimating posterior probabilities for each model from it. Then, the ability for ABC to assign the pseudo-observed dataset to its model of origin can be assessed. One hundred pseudo-observed datasets were picked from each scenario and assigned to the model with the highest posterior probability to build the confusion matrix. The estimation of posterior probabilities for each scenario was performed through a regression step (neuralnet algorithm) on the 50,000 simulated data sets closest to the observed one. To assess whether the best models were able to accurately estimate parameters, we performed another crossvalidation step on parameter estimations and estimated prediction error rates. For posterior distribution of parameters we took the 10,000 (1%) simulated datasets closest to the observed dataset from the best scenario after applying a log transformation to the parameter values. Table S1. Biometric measurements ± s.e. for male and female fodies: body mass, tarsus length, head-bill length, bill width and bill height (both measured at the centre of the nostrils). As these measurements differ considerably between different groups of fodies, they were used by the field team as a cue, in combination with visual and behavioural differences, to identify birds as F. aldabrana, F. madagascariensis or putative hybrids (i.e., F1 or recent hybrids). For all measurements, F. aldabrana are largest, F. madagascariensis are smallest and putative hybrids are intermediate. Group Body type Male (non-breeding plumage) 26.6 ± 0.7 (n=11) 22.6 ± 0.2 (n=11) 34.4 ± 0.3 (n=11) 17.9 ± 0.3 (n=11) 10.1 ± 1.2 (n=8) 12.0 ± 0.4 (n=11) 24.8 ± 1.5 (n=6) Putative F. aldabrana x F. madagascariensis hybrids 21.8 ± 0.3 (n=6) 32.9 ± 0.8 (n=6) 16.8 ± 0.6 (n=6) 8.6 ± 0.5 (n=4) 11.3 ± 0.6 (n=6) Both types* 19.9 ± 0.8 (n=10) 20.4 ± 0.4 (n=9) 31.4 ± 0.4 (n=10) 15.9 ± 0.3 (n=9) 7.5 ± 0.2 (n=9) 9.7 ± 0.3 (n=9) Monotonous, ‘cheeping’ 18.0 ± 1.5 (n=3) 20.2 ± 0.8 (n=3) 30.8 ± 1.0 (n=3) 15.4 ± 0.7 (n=3) 7.9 ± 0.5 (n=3) 9.9 ± 0.2 (n=3) Monotonous, ‘cheeping’ 16.8 ± 0.3 (n=13) 18.9 ± 0.2 (n=6) 29.0 ± 0.2 (n=13) 13.9 ± 0.2 (n=5) 6.9 ± 0.1 (n=6) 8.9 ± 0.3 (n=6) Monotonous, ‘cheeping’ 16.3 ± 0.8 (n=9) 18.6 ± 0.5 (n=6) 28.8 ± 0.5 (n=9) 14.2 ± 0.4 (n=5) 6.9 ± 0.3 (n=6) 8.9 ± 0.3 (n=6) Plumage Song Voluptuous Bill height Yellowish brown Yellowish brown Female Male (breeding plumage) Male (non-breeding plumage) Tarsus length F. aldabrana Orange breast and yellow belly, separated by a distinct straight band. Brown streaked feathers on the back and wings (without red) Melodious Male (breeding plumage) Morphological measurements Head-bill Bill Bill width length length (culmen) Body mass Monotonous, ‘cheeping’ Mixed features of F. aldabrana and F. madagascariensis, e.g., voluptuous with dark red (F. madagascariensis-like) plumage Female F. madagascariensis Dark red, no yellow patch on the belly (but can have a pale brown patch near the legs when moulting into breeding plumage). Red/brown streaked feathers on the back and wings. Male (breeding plumage) Male (non-breeding plumage) Female Lean Pale brown Pale brown * The different groups have been observed to imitate / take over the song of the other group. Figure S1. Histograms of model misclassification. (a) nuclear dataset, and (b) mitochondrial + nuclear dataset. For each scenario, 100 pseudo-observed datasets are sampled from simulations and model choice is applied. Bars represent the number of times each scenario displayed the highest posterior probability, given that the pseudo-observed datasets were sampled from scenario 1 (first bar) or from scenario 2 (second bar). (a) (b) Figure S2. Bayesian analyses of Foudia concatenated mitochondrial (ATPase 6 & 8 and ND3) data, constructed as per Fig. 3, but without fodies from the Takamaka region. All ‘pure’ (non-Takamaka) Aldabra fodies (n=27) form a monophyletic group with 100% bootstrap and Bayesian branch support. All outgroups and Foudia reference samples from the Warren et al. (2012) dataset that were used for the analysis are marked with an asterisk. Figure S3. Goodness of fit plots using Principal Component Analysis on summary statistics for (a) the nuclear and (b) the complete (nuclear + mitochondrial) simulations. The cross indicates the observed dataset. Scenario 1: Invading birds come from Assumption and hybridise with F. aldabrana between 5 and 37 generation (years) ago; Scenario 2: Invading birds come from a Madagascar population and hybridise after the split between F. aldabrana and F. madagascariensis (see Fig. 2). (a) (b) References Griffiths, R., Double, M.C., Orr, K. & Dawson, R.J.G. (1998) A DNA test to sex most birds. Molecular Ecology, 7, 1071–1075. Hall, T.A. (1999) BioEdit: a user-friendly biological sequence alignment editor and analysis program for Windows 95/98/NT. Nucleic Acids Symposium Series, pp. 95–98. Larkin, M.A., Blackshields, G., Brown, N.P., Chenna, R., McGettigan, P.A., McWilliam, H., Valentin, F., Wallace, I.M., Wilm, A. & Lopez, R. (2007) Clustal W and Clustal X version 2.0. Bioinformatics, 23, 2947–2948. Warren, B.H., Bermingham, E., Bourgeois, Y., Estep, L.K., Prys-Jones, R.P., Strasberg, D. & Thébaud, C. (2012) Hybridization and barriers to gene flow in an island bird radiation. Evolution, 66, 1490–1505.