11Skin pigmentation is a classic example of a polygenic trait that has experienced directional 12 selection in humans. Genome-wide association studies have identified well over a hundred 13 pigmentation-associated loci, and genomic scans in present-day and ancient populations have 14 identified selective sweeps for a small number of light pigmentation-associated alleles in 15Europeans. It is unclear whether selection has operated on all the genetic variation associated 16 with skin pigmentation as opposed to just a small number of large-effect variants. Here, we 17 address this question using ancient DNA from 1158 individuals from West Eurasia covering a 18 period of 40,000 years combined with genome-wide association summary statistics from the UK 19Biobank. We find a robust signal of directional selection in ancient West Eurasians on skin 20 pigmentation variants ascertained in the UK Biobank, but find this signal is driven mostly by a 21 limited number of large-effect variants. Consistent with this observation, we find that a 22 polygenic selection test in present-day populations fails to detect selection with the full set of 23 variants; rather, only the top five show strong evidence of selection. Our data allow us to 24 disentangle the effects of admixture and selection. Most notably, a large-effect variant at 25SLC24A5 was introduced to Europe by migrations of Neolithic farming populations but 26 continued to be under selection post-admixture. This study shows that the response to selection 27 for light skin pigmentation in West Eurasia was driven by a relatively small proportion of the 28 variants that are associated with present-day phenotypic variation. 29 30 Significance 31 Some of the genes responsible for the evolution of light skin pigmentation in Europeans show 32 signals of positive selection in present-day populations. Recently, genome-wide association 33 studies have highlighted the highly polygenic nature of skin pigmentation. It is unclear whether 34 selection has operated on all of these genetic variants or just a subset. By studying variation in 35 over a thousand ancient genomes from West Eurasia covering 40,000 years we are able to study 36 both the aggregate behavior of pigmentation-associated variants and the evolutionary history of 37 individual variants. We find that the evolution of light skin pigmentation in Europeans was 38 driven by frequency changes in a relatively small fraction of the genetic variants that are 39 associated with variation in the trait today. 40 SLC45A2, TYR, and APBA2/OCA2). 51 52 Therefore, while the existence of selective sweeps at a handful of skin pigmentation loci is well-53 established, the evidence for polygenic selection-a coordinated shift in allele frequencies across 54 many trait-associated variants (11)-is less clear. Recently, genome-wide association studies 55 (GWAS) of larger samples and more diverse populations (12-15) have emphasized the polygenic 56 architecture of skin pigmentation. This raises the question of whether selection on skin 57 pigmen...