THE NESTED KINGMAN COALESCENT: SPEED OF COMING DOWN FROM INFINITY
Skip to main content
eScholarship
Open Access Publications from the University of California

UC San Diego

UC San Diego Previously Published Works bannerUC San Diego

THE NESTED KINGMAN COALESCENT: SPEED OF COMING DOWN FROM INFINITY

  • Author(s): Blancas, Airam
  • Rogers, Tim
  • Schweinsberg, Jason
  • Siri-Jegousso, Arno
  • et al.
Abstract

The nested Kingman coalescent describes the ancestral tree of a population undergoing neutral evolution at the level of individuals and at the level of species, simultaneously. We study the speed at which the number of lineages descends from infinity in this hierarchical coalescent process and prove the existence of an early-time phase during which the number of lineages at time $t$ decays as $ 2\gamma/ct^2$, where $c$ is the ratio of the coalescence rates at the individual and species levels, and the constant $\gamma\approx 3.45$ is derived from a recursive distributional equation for the number of lineages contained within a species at a typical time.

Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. Let us know how this access is important for you.

Main Content
Current View