keywords: Branching process, Poisson process, family, probability generating function
As old as subject of branching process theory, its application still extend to our contemporary time, the focus of this research work is on the application of branching process to the family of Nakakare. The data used was obtained by personal interview and analyzed using probability generating function in order to obtain the fitted probability model of the family. The model obtained is found to be the probability generating function of negative binomial distribution, from this probability model the average number of descendants in every generation was estimated and it shows that as the number of generation increase the number of descendants also increase. This method of studying branching flow of the family can be employed to model other systems with similar dynamics.