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(Abridged) Several aspects of the evolution of star-forming galaxies arestudied using measures of the 2-dimensional surface brightness profile of asample of 341 faint objects selected from the CFRS and LDSS redshift surveysthat have been observed with the Hubble Space Telescope. The size function ofdisk scale lengths in disk-dominated galaxies is found to stay roughly constantto z=1. This result, which is strengthened by inclusion of the local de Jong etal (1996) size function, suggests that the scale lengths of typical disks cannot have grown substantially with cosmic epoch since z=1, unless acorresponding number of large disks have been destroyed through merging. Inaddition to a roughly constant number density, the galaxies with large diskshave, as a set, properties consistent with the idea that they are similargalaxies observed at different cosmic epochs. However, on average, they showhigher B-band disk surface brightnesses, bluer overall (U-V) colors, higher[OII] 3727 equivalent widths and less regular morphologies at high redshiftthan at low redshift, suggesting an increase in the star-formation rate by afactor of about 3 to z=0.7. This is consistent with the expectations of recentmodels for the evolution of the disk of the Milky Way and similar galaxies. Theevolution of the large disk galaxies is probably not sufficient to account forthe evolution of the overall luminosity function of galaxies over the interval0<z<1, especially if Omega=1. Analysis of the half-light radii of all thegalaxies in the sample and construction of the bivariate size-luminosityfunction suggests that larger changes in the galaxy population are due tosmaller galaxies, those with half-light radii around 5 h_{50}^{-1} kpcComment: 43 pages, 15 figures, 3 plate

Hubble Space TelescopeImaging of the CFRS and LDSS Redshift Surveys. II. Structural Parameters and the Evolution of Disk Galaxies toz∼ 1