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Data S1. Alternative ABC implementation using in-house scripts, the ms program and the abc R package.

Figure S1. The three demographic scenarios of African olive invasion in Australia and Hawaii.

Figure S2. Reduced-median networks of haplotypes detected in the native range of subsp. cuspidata.

Figure S3. Barplot of the Structure analysis for the Australian and Hawaiian invasive olive populations based on the most probable number of genetic clusters K = 2.

Figure S4. PCA of the model checking computation in the space of summary statistics.

Table S1. Geographic origins of native and invasive samples characterized with cpDNA markers.

Table S2. Geographic origins of the 68 Mediterranean cultivars characterized with nuclear SSR markers.

Table S3. Profile and geographic origin of 39 chlorotypes detected in the native range of subsp. cuspidata compared to the three chlorotypes shared between Mediterranean cultivars and invasive olives.

Table S4. Nuclear microsatellite dataset for invasive populations.

Table S5. Pairwise genetic differentiation (FST, in percent) between invasive populations based on nuclear SSRs.

Table S6. Number of alleles (Na), allelic richness (RS), observed and expected heterozygosities (HO and HS respectively) for each SSR locus for the three invasive populations of subsp. europaea.

Table S7. Number of alleles (Na), allelic richness (RS), observed and expected heterozygosities (HO and HS respectively) for each SSR locus for the six invasive populations of subsp. cuspidata.

Table S8. Type-1 and type-2 error rates for simulated data.

Table S9. Precision on parameter estimations based on 500 pseudo-observed data sets (pods) with the measure of the relative average bias, estimated under scenario 1.

Table S10. Precision on parameter estimations based on 500 pseudo-observed data sets (pods) with the measure of the square Root of the Relative Mean Square Error (RRMSE) and the Relative Median Absolute Deviation (RMedAD), estimated under scenario 1.

Table S11. Model checking for introduction scenario 1.

Table S12. Effect of different priors on the posteriors for the real data sets.

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