Markovian simulation for ancestors trees

JARNE, C.; CARUSO, M.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

ELSEVIER SCIENCE BV

Año: 2018 vol. 72 p. 1 - 15

1007-5704

We present a computational model to reconstruct trees of ancestors for animals with sexual reproduction. We show how is possible to reconstruct the number of ancestors in each generation using a recursive algorithm combined with a random number generator to constrain the maximum number of the following generation. This model allows to consider the reproductive preferences of particular species and combine several trees to simulate the behavior of a population. We also present an analytical framework considering the simulation as a theoretical stochastic process. Such process can be generalized in order to use an algorithm associated with it to simulate other similar processes of stochastic nature. The simulation is based on the theoretical model previously presented in [1].