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Third, in our IM analyses we serially constrain the migration rate parameters to smaller values and deduce likely migration rates between Asia and the New World based on empirical estimates of current migration rates within Europe versus the greatly reduced migration rates of ancient people across the Bering Strait starting ≈11 10 kya.

Population size and migration rate parameters are scaled by the mutation rate μ.

Bold font shows significance of p < 0.001.Ne estimates are mean values and migration rate parameters are the HiPt of the posterior probability.

Moreover, posterior probability distributions of the population size and migration rate parameters showed one clear peak with fairly narrow ranges (see Additional file 7).

The migration rate parameters can be transformed into the estimates of population migration rate (i.e. 2NM = 4Neμ × M/μ/2), the effective number of migrant gene copies per generation [ 49, 64].

Similar(55)

See text for migration rate parameter values; divergence times are measured in years.

Thus, migration through pollen can simply be taken into account by scaling up, in our model, the migration rate parameter.

Gene flow at the time of species divergence is modeled indirectly as variation in species divergence time across the genome or explicitly using a migration rate parameter.

Divergence time and migration rate parameter values were taken randomly from the intervals (0.004 40) for M and (0.0125 125) for T (see Additional file 1: Table S1).

We also estimated effective population sizes and splitting times, and simplified the model by estimating one migration rate parameter per population pair.

Only the migration rate parameter m/μ from N. a. anomalus to N. a. milleri (m/μ = 0.183; 95 % confidence interval: 0.053 0.53333) differed significantly from zero.

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