  Low Surface-Brightness (LSB) galaxies are severely underrepresented in
surveys used to define the local luminosity function (LF), but could it in
principle be detected in deep surveys. To explore the possible contribution of
such objects to faint galaxy counts, we construct catalogs of simulated
non-evolving galaxies drawn from a multivariate distribution of galaxy
luminosities, central surface brightnesses, bulge/disk ratios and
spectral-energy distributions. We compare two models dominated by LSB galaxies
to a standard non-evolving model. Model galaxies are convolved with seeing and
selected in a manner that closely matches real surveys. For each model we
compute the local LF, HI mass function, number counts, redshift and color
distributions. We find it possible to include a large population of LSB
galaxies and incorporate a steep faint-end slope of the LF in our simulations
without violating the constraints on the local LF or HI mass function. For $q_0
= 0.5$, the most favorable model matches the counts to B=23, but falls short of
the observations at fainter magnitudes. The colors and redshift distributions
remain roughly consistent with observations to B=24. The most serious
discrepancy with observations is in the distribution of $r_e$ at faint
magnitudes, suggesting that the model contains too many LSB galaxies.
Nevertheless, the results suggest that LSB galaxies could be a significant
contributor to faint-galaxy counts, reducing the need for such extreme models
of galaxy evolution as rapid merging or bursting dwarf galaxies.
