  We study the one-dimensional behavior of a cellular automaton aimed at the
description of the formation and evolution of cultural domains. The model
exhibits a non-equilibrium transition between a phase with all the system
sharing the same culture and a disordered phase of coexisting regions with
different cultural features. Depending on the initial distribution of the
disorder the transition occurs at different values of the model parameters.
This phenomenology is qualitatively captured by a mean-field approach, which
maps the dynamics into a multi-species reaction-diffusion problem.
