Branching processes are stochastic processes which represent the
reproduction of particles, such as individuals within a population, and
thereby model demographic stochasticity. In branching processes in
random environment (BPREs), additional environmental stochasticity is
incorporated, meaning that the conditions of reproduction may vary in a
random fashion from one generation to the next.
This book offers an introduction to the basics of BPREs and then
presents the cases of critical and subcritical processes in detail, the
latter dividing into weakly, intermediate, and strongly subcritical
regimes.