Joe W B Butterick

The paper develops a branching process framework to calculate kin-number distributions structured by age and stage, applying it to UK fertility and mortality data.

The paper develops a method to project the probability distribution of kin numbers over the life course using combinatorics and matrix algebra, providing expected values and variance.

This paper develops a mathematical model to predict kin numbers by age, sex, and time, accounting for demographic changes and stochasticity.