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Coalescent analyses supported a low mutation parameter and small effective population sizes for all populations (Table 2).
The time from expansion was estimated using the equation τ = 2 ut, where u is the haplotype mutation parameter and t is time in generations.
The calculations of the average nucleotide diversity, the estimation of the population mutation parameter, and the test for neutrality (Tajima's D) were performed using Arlequin v3.5.1.2 [ 27].
Fu's Fs statistic compares the number of alleles expected under the neutral coalescent in a constant sized population based on the neutral mutation parameter and the size of the sample.
For both runs, the starting values of the population mutation parameter and the ratio between the immigration rate and the respective population and mutation rate per generation were estimated from F ST values [ 34].
Both sets of actual vicariance and actual colonization times (T V and T C ) are in units of θ i /μ generations, where θ i is each taxon-pair's population mutation parameter and μ is the per gene per generation mutation rate.
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[28] software (with default heating and burn-in parameters) was used to obtain the base frequencies, mutation parameters and the best mutation model (according to the Akaike information criteria), which (for our data) was the general time reversible (GTR) model.
In the parametric bootstrap, synthetic data are generated using the ML estimates from the real data set, and then all parameters are reestimated for the synthetic data using exactly the same procedure as for the real data (including estimation of the tree topology, branch lengths, global mutation parameters, and fitnesses).
We have developed algorithms for the problem of inferring tumor-specific mutation parameters and applying these to improve single-tumor phylogenetic tree inference at the cellular level, with specific application to inferring multiscale copy number evolution from single-cell FISH data.
Nevertheless, the magnitude of the bias affecting the appears to be insignificant, with a maximum bias of about 15% under the wide range of natural mutation parameters, and for positive selection to be inferred in practice one would require values of > 1.3 [ 65].
Diversity statistics included two estimators of the population mutation parameter, pi and Watterson's θw.
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