11 12 Background: Nearly all Eurasians have ~2% Neanderthal ancestry due to several events of 13 inbreeding between anatomically modern humans and archaic hominins. Previous studies 14 characterizing the legacy of Neanderthal ancestry in modern Eurasians have identified 15 examples of both adaptive and deleterious effects of admixture. However, we lack a 16 comprehensive understanding of the genome-wide influence of Neanderthal introgression on 17 modern human diseases and traits. 18 Results: We integrate recent maps of Neanderthal ancestry with well-powered association 19 studies for more than 400 diverse traits to estimate heritability enrichment patterns in regions of 20 the human genome tolerant of Neanderthal ancestry and in introgressed Neanderthal variants 21 themselves. First, we find that variants in regions tolerant of Neanderthal ancestry are depleted 22 131We find three exceptions to this complex trait heritability depletion; sunburn (1.16x, P = 132 0.3), skin color (1.21x, P = 0.4), and tanning (1.25x, P = 0.4) are not depleted among regions 133 that retain Neanderthal ancestry (Fig. 1B). These three traits are genetically correlated with 134 magnitudes between r = 0.55 and 0.86. Several previous hypotheses suggest that the 135 introgression of Neanderthal alleles related to hair and skin pigmentation could have provided 136 non-African AMHs with adaptive benefits as they moved to higher latitudes. 3,4,17,18 The 137 exceptions to the overall depletion we observe for skin traits suggest that regions of the human 138 genome involved in skin pigmentation were more tolerant of Neanderthal introgression than 139 regions of the genome associated with other traits. 140 141