Distance-based species tree estimation: information-theoretic trade-off between number of loci and sequence length under the coalescent

21 Apr 2015  ·  Elchanan Mossel, Sebastien Roch ·

We consider the reconstruction of a phylogeny from multiple genes under the multispecies coalescent. We establish a connection with the sparse signal detection problem, where one seeks to distinguish between a distribution and a mixture of the distribution and a sparse signal... Using this connection, we derive an information-theoretic trade-off between the number of genes, $m$, needed for an accurate reconstruction and the sequence length, $k$, of the genes. Specifically, we show that to detect a branch of length $f$, one needs $m = \Theta(1/[f^{2} \sqrt{k}])$. read more

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