Markovian simulation for ancestors trees

TL;DR

This paper introduces a computational model using recursive algorithms and stochastic processes to simulate ancestral trees in sexually reproducing animals, accommodating species-specific reproductive behaviors and population dynamics.

Contribution

It presents a novel recursive simulation method that incorporates reproductive preferences and allows for analytical and generalized stochastic modeling of ancestral trees.

Findings

Able to simulate realistic ancestor trees with species-specific traits

Provides analytical descriptions of the stochastic process

Can be generalized to other stochastic simulation processes

Abstract

We present a computational model to reconstruct trees of ancestors for animals with sexual reproduction. Through a recursive algorithm combined with a random number generator, it is possible to reproduce the number of ancestors for each generation and use it to constraint the maximum number of the following generation. This new model allows to consider the reproductive preferences of particular species and combine several trees to simulate the behavior of a population. It is also possible to obtain a description analytically, 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 in the theoretical model previously presented before.