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The Total Branch Length of Sample Genealogies in Populations of Variable Size

The Total Branch Length of Sample Genealogies in Populations of Variable Size

Abstract We consider neutral evolution of a large population subject to changes in its population size. For a population with a time-variable carrying capacity we study the distribution of the total branch lengths of its sample genealogies. Within the coalescent approximation we have obtained a general expression—Equation 20—for the moments …