The mean population fitness as given by mutation load theory depends only on the genome-wide mutation rate ($U$). My question is: How many generations is needed to reach a new mutation load equilibrium after a change in $U$?

Following is an article were they perform the kind of calculations I am interested in:

Let $U$ be the genome-wide mutation rate, $\delta U$ a change (between two time steps) in the genome-wide mutation rate and $s$ the mutational effect (effect on fitness) of a given mutation. In Agrawal and Whitlock (2012), page 13 (or 127 in the journal), $3^{rd}$ paragraph, the authors say:

[After a change in $U$,] it can take a long time to approach mutation-selection balance. For example, if the mutation rate is increased by 􏰁$\delta U = 1$ deleterious mutation per genome per generation, then it would take ∼120 generations for fitness to decline 80% of its expected amount if s = 0.01. However, by obtaining a time series of data, one could infer the equilibrium load after tens or hundreds of generations even if equilibrium is not reached

How were these ~120 generations estimated/calculated?


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