For the full galaxy mass range , we find that previously observed trends of globular cluster ( GC ) system scaling parameters ( number , luminosity or mass of all GCs in a galaxy normalized to the host galaxy luminosity or mass , e.g . S _ { L } ) as a function of galaxy mass , holds irrespective of galaxy type or environment .
The S _ { L } value of early-type galaxies is , on average , twice that of late-types .
We derive theoretical predictions which describe remarkably well the observed GC system scaling parameter distributions given an assumed GC formation efficiency ( \eta ) , i.e .
the ratio of total mass in GCs to galaxy halo mass .
It has a mean value of \eta \simeq 5.5 \times 10 ^ { -5 } , and increasing scatter toward low galaxy mass .
The excess \eta -values of some massive galaxies compared to expectations from the mean model prediction , may be attributed to an efficient GC formation , inefficient production of field stars , accretion of low-mass high- \eta galaxies or likely a mixture of all these effects .