Fig. S1 Population structure for 20 alpine plant species. Sample locations in warm clusters are given in red.

Fig. S2 Interpolated gradients of genetic diversity for 20 alpine plant species.

Fig. S3 Latitudinal clines at outlier loci for 20 alpine plant species.

Fig. S4 Null distribution of the shape parameter of the cline at the strongest outlier locus for 18 alpine plant species under scenarios of range expansion from the north-east and the south-west.

Movie SM1 Movement of contact zones for 18 alpine plant species.

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