Table S1 Annotation and location in the P.glauca genome of 311 candidate gene SNPs used in this study.

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Table S2 Validation statistics for P. engelmannii and P. glauca model projections for each time period within each GCM.

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Table S3 Estimates of pairwise linkage disequilibrium between informative nucleotide sites across 23 genes in 132 individuals in the Picea glauca x P. engelmannii hybrid zone.

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Table S4 Results of the environmental association analysis using Bayenv (a) within the hybrid zone using 311 SNPs; and (b) across the hybrid zone using 86 SNPs.

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Fig. S1 Glacial and postglacial re-colonization patterns of Picea glauca, P.engelmannii and their hybrids from 21 000 years ago to the present day, based on climate niche modeling (GFDL model) and palaeoclimate data.

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Fig. S2 Histogram of genotypic classes based on Introgress hybrid index, showing a higher percentage of advanced generation hybrids in the hybrid zone.

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Fig. S3 Analysis of population structure in the Picea glauca x P. engelmannii hybrid zone using SNP markers.

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Fig. S4 Plot of the first two principal components (PC1 and PC2) of a principal components analysis for 86 SNP loci in the Picea glauca x P. engelmanniii hybrid zone.

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