The Duration of a Selective Sweep in a Structured Population

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Claim: with selection strength alpha -> infinity and migration mu ~ alpha^P (0<P<1), fixation time scales like (3 - P) (log alpha)/alpha (versus 2 (log alpha)/alpha for panmixia); the beneficial allele typically exports at time ~1−P (in units of (log alpha)/alpha) and then needs ~2 more units to fix. Proof uses the ancestral selection graph started in reversible equilibrium, a Yule process approximation for the early phase and subcritical branching for the end phase; simulations at alpha≈1000 give reasonable agreement.

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" chapters (8)

1. 0:00Classical selective sweeps
2. 2:25Structured populations
3. 5:29Exporting sweeps
4. 8:30Ancestral selection graphs
5. 14:23Graph applications
6. 21:18Yule process modeling
7. 25:07Future research directions
8. 27:33Discussion and Q&A