Invasion and effective size of graph-structured populations
Fig 3
Comparison of approximate fixation probabilities (dotted line) of a beneficial mutant against exact results (solid line) in undirected graphs of different sizes.
Fitness is node independent. Resident fitness is normalized to 1 and mutant fitness is 1 + s. The initial mutant is equally likely to appear in any node. The horizontal dashed line gives neutrality, i.e. 1/N. Along the vertical dashed line, the selective advantage s at NΔλ/σ2 = 1 is reported. Exact results for the complete graph under Bd and dB are given in [25]. Exact results for the star under Bd are given in [2]. Exact results for the cycle under dB are given in [30]. Approximations are computed from Eq (9) where the quantity Δλ is retrieved from the Perron root of .