Globular cluster systems (GCS) frequently show a bi-modal distribution of the
cluster integrated colours. This work explores the arguments to support the
idea that the same feature is shared by the diffuse stellar population of the
galaxy they are associated with. In the particular case of NGC 1399 the results
show that the galaxy brightness profile and colour gradient as well as the
behaviour of the cumulative globular cluster specific frequency, are compatible
with the presence of two dominant stellar populations, associated with the so
called "blue" and "red" globular cluster families. These globular families are
characterized by different intrinsic specific frequencies (defined in terms of
each stellar population): Sn=3.3 +/- 0.3 in the case of the red globulars and
Sn=14.3 +/- 2.5 for the blue ones. We stress that this result is not
necessarily conflicting with recent works that point out a clear difference
between the metallicity distribution of (resolved) halo stars and globulars
when comparing their number statistics. The inferred specific frequencies imply
that, in terms of their associated stellar populations, the formation of the
blue globulars took place with an efficiency about 6 times higher than that
corresponding to their red counterparts. The similarity of the spatial
distribution of the blue globulars with that inferred for dark matter, as well
as with that of the X ray emiting hot gas associated with NGC 1399, is
emphasized. The impact of a relatively unconspicuous low metallicity
population, that shares the properties of the blue globulars, as a possible
source of chemical enrichment early in the formation history of the galaxy is
also briefly discussed.Comment: 15 pages; MNRAS (accepted; October 2004