  There is increasing evidence of a local population of short duration
Gamma-ray Bursts (sGRB), but it remains to be seen whether this is a separate
population to higher redshift bursts. Here we choose plausible Luminosity
Functions (LF) for both neutron star binary mergers and giant flares from Soft
Gamma Repeaters (SGR), and combined with theoretical and observed Galactic
intrinsic rates we examine whether a single progenitor model can reproduce both
the overall BATSE sGRB number counts and a local population, or whether a dual
progenitor population is required. Though there are large uncertainties in the
intrinsic rates, we find that at least a bimodal LF consisting of lower and
higher luminosity populations is required to reproduce both the overall BATSE
sGRB number counts and a local burst distribution. Furthermore, the best fit
parameters of the lower luminosity population agree well with the known
properties of SGR giant flares, and the predicted numbers are sufficient to
account for previous estimates of the local sGRB population.

Astrophysics