title: Statistical analysis of genealogical trees for polygamic species.
abstract: Repetitions within a given genealogical tree provide some information about the degree of consanguinity of a population. They can be analyzed with techniques usually employed in statistical physics when dealing with fixed point transformations. In particular, we show that the tree features strongly depend on the fractions of males and females in the population, and also on the offspring probability distribution. We check different possibilities, some of them relevant to human groups, and compare them with simulations.
authors.affiliation: Institut de Physique Théorique, Université de Fribourg, Switzerland.
authors.forename: P
authors.initials: P
authors.lastname: De Los Rios
authors.forename: O
authors.initials: O
authors.lastname: Pla
mesh_terms: D000818:Animals; D003198:Computer Simulation; D003241:Consanguinity; D005260:Female; D014644:Genetic Variation; D006801:Humans; D006824:Hybridization, Genetic; D008297:Male; D015233:Models, Statistical; D010375:Pedigree