Population stratification using a statistical model on hypergraphs

Details Population stratification using a statistical model on hypergraphs Population stratification using a statistical model on hypergraphs

2007-12-09

arxiv.org/abs/0712.1365v1

Phys. Rev. E 77, 066106 (2008)

Biology

Quantitative Biology

Populations and Evolution

7 pages, 6 figures

Scientific paper

10.1103/PhysRevE.77.066106

Population stratification is a problem encountered in several areas of biology and public health. We tackle this problem by mapping a population and its elements attributes into a hypergraph, a natural extension of the concept of graph or network to encode associations among any number of elements. On this hypergraph, we construct a statistical model reflecting our intuition about how the elements attributes can emerge from a postulated population structure. Finally, we introduce the concept of stratification representativeness as a mean to identify the simplest stratification already containing most of the information about the population structure. We demonstrate the power of this framework stratifying an animal and a human population based on phenotypic and genotypic properties, respectively.

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