  For one-dimensional phase-turbulent solutions of the Kuramoto-Sivashinsky
equation with rigid boundary conditions, we show that there is a substantial
variation of the correlation time~$\tau_c(x)$ with spatial position $x$ in
moderately large systems of size $L$. These results suggest that some
time-averaged properties of spatiotemporal chaos do not become homogeneous away
from boundaries for large systems and for long times.
