Moran Process: Genetic Drift & Selection

Stochastic birth-death dynamics in a finite population

Pop size N 100 Initial freq p₀ 0.50

Fitness ratio r 1.00 Num trajectories 10

Fixation events: 0 / Extinctions: 0 / Running: 0
Theory fix. prob (from k₀): — | Observed: —

Moran Process: At each step, one individual reproduces proportional to fitness, one dies randomly.
Fixation probability: ρ = (1 − 1/r) / (1 − 1/rᴺ) (Moran, 1958)
Neutral drift (r=1): ρ = k/N. Mean fix. time ~ O(N log N).