Does the time for a beneficial allele to reach fixation is influenced by selection on other loci (in absence of epistasis) in finite and infinite population?
In other words:
A and B are two bi-allelic loci. A1 and A2 are the two alleles of the locus A. wA1A1, wA1A2, wA2A2 are the fitness of the three possible genotypes. Similar notation for the locus B.
Given wA1A1 = 0.95, wA1A2 = 0.975, wA2A2 = 1 (additive effect. The values represents any unit of fitness. For example 1 means having 100 offsprings whereas 0.95 means having 95 offsprings). Let's consider four scenarios:
1. wB1B1 = wB1B2 = wB2B2 = 1 1.1 Finite population **Scenario A** 2.2. Infinite population **Scenario B** 2. wB1B1, wB1B2 and wB2B2 equals respectively 0.5,0.75 and 1 2.1. Finite population **Scenario C** 2.2. Infinite population **Scenario D**
Does the expected times for A2 to get fixed are different in the four scenarios?
The logic behind the question is that if there is already a strong selection on another locus, the part of variance in reproductive success that has to be accounted to the locus of interest is lowered.