The relationship between driven and autonomous spatiotemporal systems is investigated in the context of coupled map lattice models. Specifically, a locally coupled map lattice subjected to an external drive is compared to a coupled map system with similar local couplings plus a global interaction. It is shown that, under some conditions, the emergent patterns and the phenomenon of synchronization are analogous in both systems. Based on the knowledge of the dynamical responses of the driven lattice, we present a method that allows the prediction of parameter values for the emergence of ordered spatiotemporal patterns in classes of coupled map systems having the same local couplings and general forms of global interactions. It is also shown that synchronized states in both kinds of systems are equivalent, but the collective states arising after the chaotic synchronized state becomes unstable can be different in each case. It is found that an external drive induces chaotic synchronization as well as synchronization of unstable periodic orbits of the local dynamics in the driven lattice. On the other hand, the addition of a global interaction in the autonomous system allows for chaotic synchronization which is not possible in large coupled map systems possessing only local couplings.