Cloning dropouts: Implications for galaxy evolution at high redshift

The evolution of high-redshift galaxies in the two Hubble Deep Fields, HDF-N and HDF-S, is investigated using a cloning technique that replicates z similar to 2-3 U dropouts to higher redshifts, allowing a comparison with the observed B and V dropouts at higher redshifts (z similar to 4-5). We treat each galaxy selected for replication as a set of pixels that are k-corrected to higher redshift, accounting for resampling, shot noise, surface-brightness dimming, and the cosmological model. We find evidence for size evolution (a 1.7-fold increase) from z similar to 5 to 2.7 for flat geometries (Omega(M) + Omega(Lambda) = 1.0). Simple scaling laws for this cosmology predict that size evolution scales as (1 + z)(-1), consistent with our result. The UV luminosity density shows a similar increase (x1.85) from z similar to 5 to 2.7, with minimal evolution in the distribution of intrinsic colors for the dropout population. In general, these results indicate less evolution than was previously reported, and therefore a higher luminosity density at z similar to 4-5 (similar to50% higher) than other estimates. We argue that the present technique is the preferred way to understand evolution across samples with differing selection functions, the most relevant difference here being the color cuts and surface brightness thresholds [e.g., due to the (1 + z)(4) cosmic surface brightness dimming effect].