Simulations of the post-glacial invasive replacement of L. timidus by L. granatensis. a Distribution of demes simulated in SPLATCHE2 (squares) and making up the virtual Iberian Peninsula at the start of the simulated northward invasion of L. granatensis 20 kya, indicating the distribution of L. timidus  and the origin of L. granatensis expansion . The positions of the simulated genomes (black dots) mimic those of the empirical samples (Fig. 1). b Empirical and simulated distributions of introgression frequencies for different parameter sets (average for each of eight sets, par1–8; Table 1).