Limit processes for age-dependent branching particle systems

We consider systems of spatially distributed branching particles in R-d. The particle lifelengths are of general form, hence the time propagation of the system is typically not Markov. A natural time-spaes-mass scaling is applied to a sequence of particle systems and we derive limit results for the corresponding sequence of measure-valued processes. The limit is identified as the projection on R-d of a superprocess in R+ x R-d. The additive functional characterizing the superprocess is the scaling limit of certain point processes. which count generations along a line of descent for the branching particles.