The following supplementary material is available for this article:

Table S1.  List of the 265 accessions used for this study with their origins. Download here.

Table S2.  Primers used to amplify marker genes. Download here.

Table S2.  Morphological characters and their heritabilities in two controlled environments (3 weeks 4oC vernalization vs. non- vernalized). Download here.

Table S3.  Capture by the core collections of SNP alleles in 4 independent loci. Download here.

Figure S1.  Patterns of pairwise Linkage Disequilibrium (LD) in the initial collection. Download here.

Figure S2.  Relative efficiency of M strategy compared to random sampling in a cross validation. Download here.

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