From local to global consensus in spatial networks. Snapshots of the temporal evolution of the Moran process (top, simple contagion) and naming game (bottom, complex contagion) on a two-dimensional lattice with coordination number 4 and periodic boundary conditions. While compact clusters of agreeing agents form in the naming game, in the Moran process regions of the same colour are difficult to identify and often broken in more pieces. Population of N=40 000 agents, initial condition with M=N different states (i.e. each agent starts in a different state). Colours correspond to different states, with the exception of the left panels where for visualization purposes it is possible that different states are rendered in the same colour. Black points in the naming game correspond to agents with more than one name in their inventory.