Table 2 Probabilities of 15 rooted gene trees given the phylogenetic network ψ of Fig. 2 b (w=0) as x→∞

T ₁=(((b,c),a),d)

\(\gamma -(\gamma -\frac {\gamma ^{2}}{3})e^{-y}\)

T ₂=(((b,c),d),a)

\((1-\gamma)-(-\frac {\gamma ^{2}}{3}-\frac {\gamma }{3}+\frac {2}{3})e^{-y}\)

T ₃=((a,b),(c,d))

γ(1−γ)e ^−y

T ₄=((a,c),(b,d))

γ(1−γ)e ^−y

T ₅=(((a,b),c),d)

\(\frac {\gamma ^{2}}{3}e^{-y}\)

T ₆=(((a,c),b),d)

\(\frac {\gamma ^{2}}{3}e^{-y}\)

T ₇=(a,(b,(c,d)))

\(\frac {(1-\gamma)^{2}}{3}e^{-y}\)

T ₈=(((b,d),c),a)

\(\frac {(1-\gamma)^{2}}{3}e^{-y}\)

T ₉=((a,d),(b,c))

0

T ₁₀=(((a,b),d),c)

0

T ₁₁=(b,(a,(c,d)))

0

T ₁₂=(((a,d),b),c)

0

T ₁₃=(((b,d),a),c)

0

T ₁₄=(((a,c),d),b)

0

T ₁₅=(((a,d),c),b)

0