Chemically Consistent Evolution of Galaxies on Cosmological Timescales and the DLA Galaxy Population

We describe the evolution of galaxies in a chemically consistent way accounting for the increasing initial metallicity of successive generations of stars. The enrichment of various types of model galaxies is compared with Damped Ly$\alpha$ (= DLA) abundances over the redshift range from ${\rm z \sim 0}$through${\rm z > 4.4}$. We discuss properties and composition of the galaxy population giving rise to DLA absorption. Beyond evolution of individual galaxies a change is found in the composition of DLA galaxy samples from high to low redshift. Spectrophotometric properties are predicted for optical identifications of DLA galaxies.