We combine predictions for several hierarchical cosmogonies with observational evidence on damped Lyman alpha systems to establish a correspondence between the high redshift galaxy population and the properties of damped Lyman alpha systems. We assume that high redshift galaxies and damped Lyman alpha systems are hosted by the same dark matter halos and require consistency between the predicted halo space density, the rate of incidence and the velocity width distribution of damped Lyman alpha systems, and the observed galaxy luminosity function at the bright end. We arrive at the following results: (1) predicted impact parameters between the damped absorption system and the luminous part of the absorbing galaxy are expected to be very small (0.3 - 1arcsec) for most galaxies; (2) luminosities of galaxies causing damped absorption are generally fainter than m_R = 25 and damped Lyman alpha systems are predicted to sample preferentially the outer regions of galaxies at the faint end of the galaxy luminosity function at high redshift. Therefore, DLAS should currently provide the best probe of the progenitors of normal present-day galaxies.
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