Kingman's unlabelled n-coalescent
R. Sainudiin, Peter Donnelly, Robert Griffiths, Gil McVean, Kevin Thornton · UC Research Repository (University of Canterbury) · 2008
Model 1: φ ≡ θ ∈ Φ, θ = 4N e µ (scaled mutation rate)The Coalescent Approximation of the Wright-Fisher (W-F) Model (Kingman, 1982) A Sample Coalescent Sequence or c-sequence ( {{1}, {2}, {3}}, {{1, 2}, {3}}, {{1, 2, 3}} ) and coalescent times or epoch times t i , i ∈ {3, 2}.Offspring "choose" parents uniformly and independently in W-F modelLineage Death Process: In general, the R.V. T i that any pair of i lineages coalesce is approximately exponentially distributed for large N .Uniform Binary Fusion of two extant lineages.