
K
_{
i
}

\frac{{p}_{N}}{{p}_{O}}

\frac{{p}_{N}}{{p}_{O}^{i}}

F(n)

F(j, n)/F(n)


CRPα = 0

~ n

~ n^{1}

~ n^{1}

~ log (n)

~\frac{\theta}{j}

CRPα > 0

~ n

~ n^{α1}

~ n^{α1}

~ n^{α}

~ j ^{(1+α)}

Qian et al.

~{n}^{{p}_{O}}

= R

~{n}^{1{p}_{O}}

~ n

~ j^{(2+R)}

 The first three columns indicate the resulting average population of a class K_{
i
}, and the ratios of the probability to add a new class p_{
N
}to the total and perclass probabilities of duplication, as a function of genome size n. These latter two quantities are asymptotically zero in the CRP, while they are constant or infinite in the model of Gerstein and coworkers. The last two columns indicate the resulting scaling of number of domain classes F(n) and fraction of classes with j domains F(j, n)/F(n). The results of the CRP agree qualitatively with observations 13 in the text.