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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-

 

tripling

doubling

tripling

doubling

Triplet \(\Delta \in \mathscr {T}\)

(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′

-

  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
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BMC Bioinformatics

ISSN: 1471-2105

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