Reconstructing pedigrees: a stochastic perspective

Details Reconstructing pedigrees: a stochastic perspective Reconstructing pedigrees: a stochastic perspective

2007-06-18

arxiv.org/abs/0706.2516v1

Biology

Quantitative Biology

Populations and Evolution

20 pages, 3 figures

Scientific paper

A pedigree is a directed graph that describes how individuals are related through ancestry in a sexually-reproducing population. In this paper we explore the question of whether one can reconstruct a pedigree by just observing sequence data for present day individuals. This is motivated by the increasing availability of genomic sequences, but in this paper we take a more theoretical approach and consider what models of sequence evolution might allow pedigree reconstruction (given sufficiently long sequences). Our results complement recent work that showed that pedigree reconstruction may be fundamentally impossible if one uses just the degrees of relatedness between different extant individuals. We find that for certain stochastic processes, pedigrees can be recovered up to isomorphism from sufficiently long sequences.

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