Non-equilibrium theory of the allele frequency spectrum ... - ICMS

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76f i(n=40,t=0)f i(n=40,t=0.3)) from truncated system of ODEsf i(n=40, t=0.3) from simulation algorithm54f i32100 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1i/n = number of derived alleles / sample sizePlots of f i (t) for S = 0 and n = 40
*ReferencesBustamante, C. D., Wakeley, J., Sawyer, S., Hartl, D. L., 2001.Directional selection and the site-frequency spectrum. Genetics159 (4), 1779–1788.Fisher, R. A., 1930. The distribution of gene ratios for raremutations. Proceedings of the Royal Society of Edinburgh 50,205–220.Griffiths, R. C., 2003. The frequency spectrum of a mutation,and its age, in a general diffusion model. Theoretical PopulationBiology 64 (2), 241–251.
Page 1 and 2: Non-equilibrium theory of the allel
Page 3 and 4: Equilibria under stable conditionsI
Page 5 and 6: What if population size or selectio
Page 7 and 8: Discrete time finite population mod
Page 9 and 10: The diffusion limit for a single lo
Page 11 and 12: The diffusion frequency spectrum wi
Page 13 and 14: Introducing mutation from the ances
Page 15 and 16: Introducing mutation from the ances
Page 17 and 18: Entrance boundary theory - continue
Page 19 and 20: Finding the boundary conditionSince
Page 21 and 22: Conclusion for the time-homogeneous
Page 23 and 24: Structured populationsThe same appr
Page 25 and 26: Example - continuedPut µ n (t) :=
Page 27 and 28: Recent human population growthAssum
Page 29 and 30: 10090f(x,0)f(x,0.3))8070f(x)6050403
Page 31 and 32: 43.5f i(n=20,t=0)f i(n=20,t=0.3))32
Page 33: 3f i(n=20,t=0)f i(n=20,t=0.3)2.52f
Page 37 and 38: Nielsen, R., 2000. Estimation of po
Page 39: inference of selection and populati

Non-equilibrium theory of the allele frequency spectrum ... - ICMS

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