  We discuss the connection between the Kolmogorov-Sinai entropy, $h_{KS}$, and
the production rate of the coarse grained Gibbs entropy, $r_G$. Detailed
numerical computations show that the (often accepted) identification of the two
quantities does not hold in systems with intermittent behavior and/or very
different characteristic times and in systems presenting pseudo-chaos. The
basic reason of this fact is in the asymptotic (with respect to time) nature of
$h_{KS}$, while $r_G$ is a quantity related to short time features of a system.
