On the number of genealogical ancestors tracing to the source groups of an admixed population

no code implementations • 22 Oct 2022 • Jazlyn A. Mooney, Lily Agranat-Tamir, Jonathan K. Pritchard, Noah A. Rosenberg

Using a mechanistic model of admixture, we characterize admixture genealogically: how many distinct ancestors from the source populations does the admixture represent?

Enumeration of binary trees compatible with a perfect phylogeny

no code implementations • 10 Aug 2021 • Julia A. Palacios, Anand Bhaskar, Filippo Disanto, Noah A. Rosenberg

Here, we investigate enumerative properties of the set of binary ranked and unranked tree shapes that are compatible with a perfect phylogeny, and hence, the binary ranked and unranked tree shapes conditioned on an observed pattern of mutations under the in? nitely-many-sites mutation model.