We use a model of galaxy disk formation to explore the metallicities, dust content, and neutral gas mass density of damped Ly alpha (DLy alpha) absorbers. We find that the [Zn/H] abundance measurements of DLy alpha systems now available can be reproduced either by a population of low surface brightness (LSB) galaxies forming at redshifts z > 3, whose chemical contents evolve slowly with time and whose star formation rates are described by continuous bursts, or by high surface brightness (HSB) galaxies that form continuously over an interval of z similar to 0.5-3 (and no higher). Although, in reality, a mixture of galaxy types may be responsible for low-z DLy alpha systems, our models predict that HSB galaxies form more dust, more rapidly, than LSB galaxies and that HSB galaxies may therefore obscure background QSOs and not give rise to DLy alpha lines, as suggested by other researchers. Significantly, we find that the rate at which HSB disks consume neutral gas is too fast to explain the observed evolution in the neutral gas mass density with redshift and that the consumption of hydrogen by LSB galaxies fits the data better. This further suggests that LSB disks may dominate the DLy alpha population at high redshift.