~/talk

Fitness Landscapes and Adaptive Evolution

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Study of accessible mutational pathways uses ~20 empirical 5–9 locus datasets, Fourier spectra, and random-field models (House-of-Cards, NK, Rough Mount Fuji). Key claims: House-of-Cards yields expected accessible paths = 1 but probability of any path → 0 as L grows; constraining the antipode flips the threshold at ~log L / L (Hegarty & Martinsson). NK block model gives huge mean path counts but vanishing accessibility; neighborhood scheme shifts fluctuations. Adaptive walks: random length ~log L, greedy ~1.7 steps, greedy reaches higher final fitness (≈1 − 0.44/L).

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  1. 0:00Start
  2. 1:39Fitness landscapes
  3. 3:08Mathematical setting
  4. 6:32Measures of epistasis
  5. 11:14A metsanalysis of empirical data sets
  6. 17:18Null model: House-of-cards
  7. 19:17Distribution of number of accessible paths from reversal genotype
  8. 29:03Path decomposition for the block model
  9. 31:24Mean number of paths is insensitive to genetic architecture
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