Statistical analysis of genealogical trees for polygamic species

Repetitions within a given genealogical tree provide some information about the degree of consanguineity of a population. They can be analyzed with te chniques usually employed in statistical physics when dealing with fixed po int transformations. in particular, we show that the tree features strongly depend on the fractions of males and females in the population, and also o n the offspring probability distribution. We check different possibilities, some of them relevant to human groups, and compare them with simulations.