  The assumption of linear confinement leads to a proportionality of the
energy-momentum and space-time pictures of fragmentation for a simple qqbar
system in the Lund string model. The hadronization of more complicated systems
is more difficult to describe, and in the past only the energy-momentum picture
has been implemented. In this article also the space-time picture is worked
out, for open and closed multiparton topologies, for junction systems, and for
massive quarks. Some first results are presented, for toy systems but in
particular for LHC events. The density of hadron production is quantified under
different conditions. The (not unexpected) conclusion is that this density can
become quite high, and thereby motivate the observed collective behaviour in
high-multiplicity pp collisions. The new framework, made available as part of
the Pythia event generator, offers a starting point for future model building
in a number of respects, such as hadronic rescattering.
