2023
DOI: 10.1007/s00440-023-01223-7
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Convergence of genealogies through spinal decomposition with an application to population genetics

Félix Foutel-Rodier,
Emmanuel Schertzer

Abstract: Consider a branching Markov process with values in some general type space. Conditional on survival up to generation N, the genealogy of the extant population defines a random marked metric measure space, where individuals are marked by their type and pairwise distances are measured by the time to the most recent common ancestor. In the present manuscript, we devise a general method of moments to prove convergence of such genealogies in the Gromov-weak topology when $$N \rightarrow \infty $$ … Show more

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Cited by 2 publications
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