  A coupled map lattice whose topology changes at each time step is studied. We
show that the transversal dynamics of the synchronization manifold can be
analyzed by the introduction of effective dynamical quantities. These
quantities are defined as weighted averages over all possible topologies. We
demonstrate that an ensemble of short time observations can be used to predict
the long-term behavior of the lattice. Finally, we point out that it is
possible to obtain a lattice with constant topology in which the dynamical
behavior is asymptotically identical to one of the time-varying topology.
