Seven alternative models tested using our ABC framework: PAN: panmixia, SI: strict isolation, AM: ancient migration, IM: isolation migration, SC: secondary contact, PAM: periodic ancient migration; PSC: periodic secondary contact. N is the size of populations (NA for Pop A and NB for Pop B) for each cluster, NANC is the size of ancestral population before the division into two populations (Pop A and Pop B). MA and MB are, respectively, migration rates from population B to population A and from population A to population B. TSPLIT is the number of generations since the divergence time and TSC the number of generations since the secondary contact between both populations. TAM the number of generations since the ancient migration between both populations.