  We show that a space-time rescaling of the spatial Lamba-Fleming-Viot process
of Barton and Etheridge converges to super-Brownian motion. This can be viewed
as an extension of a result of Chetwynd-Diggle and Etheridge (2018). In that
work the scaled impact factors (which govern the event based dynamics) vanish
in the limit, here we drop that requirement. The analysis is particularly
interesting in the biologically relevant two-dimensional case.
