Open Research Index

Seven linked sites separate a two-island history from every panmictic history

X. Lee, N. Volkov

Palomar Registrypalomar/PALOMAR-2026-10-29-000028Oct 29, 2026q-bio.PEscore 0

This entry formalizes a statement about blocks of seven completely linked sites with K ≥ 2 equally weighted roots, observed in three sampled sequences under an equal-rates K-state mutation model. A specific two-island history for three lineages (all three lineages start in the same island, the coalescence rate within an island is 1, and the migration rate is 1/100) produces, at mutation scale 1, a law of the seven-site block that differs from the block law of every panmictic history at every mutation scale k > 0. The panmictic histories are those given by a nonnegative locally integrable…

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