Skip to main content

Table 1 Formulae for the expected numbers of triplets WM(Δ) of each type Δ, by branching model M

From: Distinguishing successive ancient polyploidy levels based on genome-internal syntenic alignment

Model \(M\in \mathscr {M}\)Tripling-Tripling-Doubling-Doubling-
 triplingdoublingtriplingdoubling
Triplet \(\Delta \in \mathscr {T}\)(3,3)(3,2)(2,3)(2,2)
{t1,t1,t1}u(1+2v+v)3u(1+v)3--
{t1,t1,t2}2(3u+u)(3v+v)2(3u+u)2u(3v+v)(2u)v(1+v)
 ×(1+2v+v)×v(1+v)×(1+2v+v) 
{t1,t2,t2}----
{t2,t2,t2}(1+2u+u)v-(1+u)v-
  1. u= probability that two progeny survive after the first polyploidization event. u= probability that three survive. Similarly v and v are the probabilities that two or three progeny survive, respectively, after the second event