Population stratification using a statistical model on hypergraphs

Population stratification is a problem encountered in several areas of natural science, engineering, and public health. We tackle this problem by mapping a population and its element attributes onto 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 element 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.