We provide sufficient conditions for polynomial rate of convergence in the weak law of large numbers for supercritical general indecomposable multi-type branching processes. The main result is derived by investigating the embedded single-type process composed of all individuals having the same...

We study an extension of a branching process with continuous state space to account for higher order dependence. Probabilistic properties such as extinction probability, mean, variance and the limiting behaviour of the generation sizes are discussed.