10 Results
for author "Sergio Lukić"
Figure 1Decay of the error function between the equilibrium density of allele frequencies and its polynomial approximation and piecewise linear approximation. The horizontal axis denotes the number of polynomials for the lower curve and the number of grid points for the upper curve.
Figure 2Simulation of two Brownian paths on a two-population tree. The plot illustrates different types of initial conditions for the paths. The initial condition can be either a random allele frequency in the ancestral population at mutation–drift equilibrium (solid lines) or a de novo mutation that arises in one of the populations after the ancestral population leaves the state of equilibrium (shaded lines).
Figure 3Decay of the chi-square statistic in MultiPop (top) and ∂a∂i (bottom). Four different demographic scenarios with two simultaneous populations and 50 chromosomes sampled per population are considered. For simplicity, the average scaled migration rate is used to label each scenario. The observed AFS were constructed using Π = 50,000 independent loci produced with Monte Carlo simulations.
Figure 4Decay of the chi-square statistic in MultiPop (top) and ∂a∂i (bottom). Three different demographic scenarios with three simultaneous populations and 20 chromosomes sampled per population are considered. For simplicity, the average scaled migration rate is used to label each scenario. The observed AFS were constructed using Π = 50,000 independent loci produced with Monte Carlo simulations.- Table 1Comparison of numerical approximations of the AFS and the simulated AFS
- Table 2Comparison of maximum-likelihood estimates using different numerical approximations
- Table 3Comparison of computing time
Figure 5A graphical representation of a four-population model for the human expansion out of Africa and peopling of the Americas. The nonconstancy of the population sizes of CEU, CHB, and MEX is modeled by means of an exponential growth model with growth rates rEU, rAS, and rMX.- Table 4Inference of a four-population model for the human expansion out of Africa and peopling of the Americas