The Backbone Decomposition for Superprocesses with Non-local Branching

We provide a path-wise “backbone” decomposition for supercritical superprocesses with non-local branching. Our result complements a related result obtained for supercritical superprocesses without non-local branching in Berestycki et al. (Stoch Proc Appl 121:1315–1331, 2011). Our approach relies heavily on the use of so-called Dynkin-Kuznetsov \(\mathbb{N}\)-measures.