  We consider the observational signature of the dynamical effects on the
luminosity function of globular clusters. For the three best studied systems,
in Milky Way, M31, and M87, there is a statistically significant difference
between the inner and outer population of globular clusters. In all cases the
inner clusters are on average brighter than the outer clusters ($0.26 < \Delta
m_0 < 0.84$) and have a smaller dispersion in magnitudes ($0.04 < \Delta \sigma
< 0.53$), with the larger differences for the local, better observed samples.
The differences are of the type that would be expected if the inner population
had been depleted by tidal shocks. The results suggest that the inner
population suffers substantial evolution from its initial distribution and
cannot not be used as a standard candle without correction for dynamical
evolution.
