Dynamics and fate of beneficial mutations under lineage contamination by linked deleterious mutations

Beneficial mutations drive adaptive evolution, yet their selective advantage does not ensure their fixation. Haldanes application of single-type branching process theory showed that genetic drift alone could cause the extinction of newly-arising beneficial mutations with high probability. With linkage, deleterious mutations will affect the dynamics of beneficial mutations and might further increase their extinction probability. Here, we model the lineage dynamics of a newly-arising beneficial mutation as a multitype branching process; this approach allows us to account for the combined effects of drift and the stochastic accumulation of linked deleterious mutations, which we call lineage con