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 can not not be used as a standard candle without correction for dynamical evolution .