Mathematical properties of allele-sharing dissimilarities

Analyzing within- and between-population dissimilarity measures as functions of allele-frequency distributions to clarify when and how these statistics should be used.

Derives mathematical constraints and interpretable bounds.
Connects theory to empirical population-genetic settings.

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Using mathematical constraints to explain narrow ranges for allele-sharing dissimilarities

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Combinatorics of a dissimilarity measure for pairs of draws from discrete probability vectors on finite sets of objects

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When is the allele-sharing dissimilarity between two populations exceeded by the allele-sharing dissimilarity of a population with itself?

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