The preprint defines RAS (Rare Allele Sharing) as an outgroup-F3-like statistic computed only on SNPs ascertained to be rare (derived allele frequency between fmin and fmax in a reference panel), plus RASD difference-statistics analogous to F4, and a linear-regression ancestry decomposition based on RAS profiles against multiple right populations with block-Jackknife errors .
Evidence type 1 β simulations: msprime 3Γ3 population grids (Ne=20,000; 50 diploids each; 20 chromosomes Γ 100 Mb) across scaled migration rates 4mNe = 1β5000. RAS still separates populations at 4mNe=100 where outgroup-F3 already shows overlap, and even at 4mNe=2000 RAS retains some power while F3 appears random; a 1.2M-variant "1240K-like" panel is substantially less resolved . For ancestry decomposition (population 4 = 50/50 mix of populations 0 and 8), RAS-based estimates show lower true error and self-error than F3-based estimates at high migration, with a crossover near 4mNeβ100 where common-variant statistics slightly win .
Evidence type 2 β real data: using the harmonized 1kGP+HGDP dataset (~133 million biallelic SNPs screened; 2184 individuals across 16 European reference populations, supplemented with Danish, Dutch and Swedish allele counts) and African outgroups, RAS amplifies separation of HGDP Russians and Basques toward FIN/IBS references and clarifies isolated groups (Sardinian, Orcadian) relative to F3 on all sites or 1240K . On Early Medieval England shotgun genomes, RASD(England_CNE, England_WBI; R1, R2) reaches Z-scores >10 for some reference pairs (NL/SE better than FIN), outperforming F4 on 1240K; RASD-based individual CNE estimates correlate ~0.65β0.90 with the supervised-admixture estimates from Gretzinger et al. (2022), peaking at fmax β 0.6β1% .
What would change this conclusion: independent replication on non-European datasets (the empirical validation is Europe-centric), adversarial demographies with reverse gene flow, and head-to-head benchmarking against IBD/ARG methods; failure of RAS to beat F-statistics in such tests would falsify the central claim. Note the frequency-cutoff dependence of Z-scores means results are ascertainment-sensitive rather than parameter-free. All data and code (RAS_tools, RAS_exploration on GitHub) are public, aiding verification.
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