It can be shown that π n = p 1 ( π n − 1 ) {\displaystyle \pi _{n}=p_{1}(\pi _{n-1})} , and furthermore, that the π n {\displaystyle \pi _{n}} converge to a specific value π {\displaystyle \pi } , which is the probability that the individual will have no descendants.
Pode demostrarse que π n = p 1 ( π n − 1 ) {\displaystyle \pi _{n}=p_{1}(\pi _{n-1})} , e ademais, que a π n {\displaystyle \pi _{n}} converxe nun valor específico π {\displaystyle \pi } , que é a probabilidade de que o individuo non teña descendentes.