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 | x′i−2 = xi−2 − 1 | ![]() |
![]() |
(i > 2) | x′i−1 = xi−1 + 2 | |||
x′i = xi − 1 | ||||
2 | xi dies, xi−1 reproduces, no mutation | — | ![]() |
![]() |
(i > 1) | ||||
3 | xi dies, xi (same) reproduces, no mutation | — | ![]() |
![]() |
4 | xi dies, xi (different) reproduces, no mutation | x′i−1 = xi−1 + 1 | ![]() |
![]() |
(i > 1) | x′i = xi − 2 | |||
x′i+1 = xi+1 + 1 | ||||
5 | xi dies, xj reproduces, no mutation | x′i−1 = xi−1 + 1 | ![]() |
![]() |
(i > 1, j ≠ i, i − 1, i − 2) | x′i = xi − 1 | |||
x′j = xj − 1 | ||||
x′j+1 = xj+1 + 1 | ||||
6 | x1 dies, xj reproduces, no mutation | x′1 = x1 − 1 | ![]() |
![]() |
(j ≠ 1) | x′j = xj − 1 | |||
x′j+1 = xj+1 + 1 | ||||
7 | x1 dies, x1 (different) reproduces, no mutation | x′1 = x1 − 2 | ![]() |
![]() |
x′2 = x2 + 1 | ||||
8 | xi dies, anything reproduces, mutation | x′1 = x1 + 1 | μiixiu | ![]() |
(i > 1) | x′i−1 = xi−1 + 1 | |||
x′i = xi − 1 | ||||
9 | x2 dies, anything reproduces, mutation | x′1 = x1 + 2 | μ22x2u | ![]() |
x′2 = x2 − 1 | ||||
10 | x1 dies, anything reproduces, mutation | — | μ1x1u | ![]() |
The effects of each of the 10 transition types on X = {x1, x2,…, x2N} and their rates under the two modes of selection.