  The LMC complexity, an indicator of complexity based on a probabilistic
description, is revisited. A straightforward approach allows us to establish
the time evolution of this indicator in a near-equilibrium situation and gives
us a new insight for interpreting the LMC complexity for a general non
equilibrium system. Its relationship with the Renyi entropies is also
explained. One of the advantages of this indicator is that its calculation does
not require a considerable computational effort in many cases of physical and
biological interest.
