For part 2, we used publicly available data from 1000Genomes48. Individual-level genotype data for 2577 individuals were downloaded from ftp-trace.ncbi.nih.gov/1000genomes/ftp/release/20130502/. Weights for constructing polygenic scores came from publicly available sources of GWAS results for height, body mass index (BMI), and schizophrenia14,18,44,45. For height we used GIANT summary statistics and UK Biobank statistics from the Neale Lab (version 1), which included 10 PCs as covariates, as calculated on all cleaned UK Biobank samples (i.e., including ancestrally diverse samples as well as the large majority of European ancestry samples). Data about average human height, for countries of origin for 1000Genomes populations, were downloaded from a pre-compiled table with male and female heights by country: https://en.wikipedia.org/wiki/List_of_average_human_height_worldwide.