Volume 18, Number 4, Winter 2010
FEASIBLE SETS FOR A MIGRATION MODEL
JANE FRIEDMAN, JOHN GLICK, JENNIFER GORSKY
AND LYNN MCGRATH
Abstract. Slatkin [8] examined the eects of unsampled
populations on estimates of gene flow. He showed that there
is no simple relationship between the true migration rates and
those inferred using only a subset of n demes chosen from a
larger set of d demes. One model he discusses is a circular
linear steppingstone model. We examine the question of what
kinds of subsets of sampled demes yield nonnegative estimates
of gene flow in this model. We find subsets of demes which will
give feasible solutions for n = 3, 4, 6, 8, 10 and state conjectures
which completely answer this question for all n ≥ 4.
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