Table 1.

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

Model $M\in ℳ$	Tripling-	Tripling-	Doubling-	Doubling-
	tripling	doubling	tripling	doubling
Triplet $\Delta \in T$	(3,3)	(3,2)	(2,3)	(2,2)
{t1,t1,t1}	u′(1+2v′+v)3	u′(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′	-

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