Turing-like structures are obtained in a two-dimensional coupled map l
attice model. Such structures have a well-defined stable Pattern in sp
ace, but highly chaotic local fluctuations can also be observed. Two w
ell-defined regions in phase space are separated, defining the domains
of emergence of phase separation. Chaotic behavior is widely present
in both situations and the Allen-Cahn theory of phase separation is ap
plied. The transient behavior is also analysed and some implications f
or species competition in ecology are outlined.