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. 2009 Aug;182(4):1141–1157. doi: 10.1534/genetics.108.089474

TABLE 1.

Transition types in the infinite-alleles model of mutation

Event (single time step in a Moran model) Effect on X Rate (death selection) Rate (reproduction selection)
1 xi dies, xi−2 reproduces, no mutation xi−2 = xi−2 − 1 Inline graphic Inline graphic
(i > 2) xi−1 = xi−1 + 2
xi = xi − 1
2 xi dies, xi−1 reproduces, no mutation Inline graphic Inline graphic
(i > 1)
3 xi dies, xi (same) reproduces, no mutation Inline graphic Inline graphic
4 xi dies, xi (different) reproduces, no mutation xi−1 = xi−1 + 1 Inline graphic Inline graphic
(i > 1) xi = xi − 2
xi+1 = xi+1 + 1
5 xi dies, xj reproduces, no mutation xi−1 = xi−1 + 1 Inline graphic Inline graphic
(i > 1, ji, i − 1, i − 2) xi = xi − 1
xj = xj − 1
xj+1 = xj+1 + 1
6 x1 dies, xj reproduces, no mutation x1 = x1 − 1 Inline graphic Inline graphic
(j ≠ 1) xj = xj − 1
xj+1 = xj+1 + 1
7 x1 dies, x1 (different) reproduces, no mutation x1 = x1 − 2 Inline graphic Inline graphic
x2 = x2 + 1
8 xi dies, anything reproduces, mutation x1 = x1 + 1 μiixiu Inline graphic
(i > 1) xi−1 = xi−1 + 1
xi = xi − 1
9 x2 dies, anything reproduces, mutation x1 = x1 + 2 μ22x2u Inline graphic
x2 = x2 − 1
10 x1 dies, anything reproduces, mutation μ1x1u Inline graphic

The effects of each of the 10 transition types on X = {x1, x2,…, x2N} and their rates under the two modes of selection.