Stochastic processes: the case of ancestor's trees and the inbreeding relationships

F. A. GÓMEZ ALBARRACÍN; M. CARUSO; CECILIA JARNE

Trieste

Conferencia; Conference on Collective Behaviour; 2018

ICTP

Based on our previews work [Caruso and Jarne, PRE, 2014], where we performed a simulation to reconstruct ancestor?s trees for individuals of sexual reproduction, we count and studied all the different possible relationships between the ancestors in a tree. In our previous model we withdraw the links or kinship between the parents and studied how to produce the convergence of the tree. Now we built a graph to represent the tree and studied the properties of the graph. We also propose ananalytical way to count all the possible trees that can be generated with a fixed number of male and female ancestors.