Non-local Branching Superprocesses and Some Related Models
  A new formulation of non-local branching superprocesses is given from which we derive as special cases the rebirth, the multitype, the mass-structured, the multilevel and the age-reproduction-structured superprocesses and the superprocess-controlled immigration process. This unified treatment simplifies considerably the proof of existence of the old classes of superprocesses and also gives rise to some new ones. 
Donald A. Dawson, Luis G. Gorostiza, Zenghu Li