  We use the ultraviolet and optical WFPC2 and near-infrared NICMOS images of
the Hubble Deep Field North to measure and statistically compare an array of
parameters for over 250 of the galaxies it contains. These parameters include
redshift, rest-frame visible asymmetry and concentration, bolometric luminosity
and extinction-corrected star formation rate. We find only one strong
correlation, between bolometric luminosity and star formation rate, from which
early-type galaxies noticeably deviate. When our asymmetry measurements are
combined with those of a sample of nearby galaxies covering the full Hubble
sequence, we find a weak correlation between redshift and rest-frame visible
asymmetry, consistent with the qualitative evidence of galaxy morphological
evolution from these and other deep Hubble Space Telescope images. The mean
values of these asymmetry measurements show a monotonic increase with redshift
interval over the range 0 < z < 2, increasing by a factor of approximately
three. If this trend is real, it suggests that galaxy morphological evolution
is a gradual process that is continuing through the present cosmological epoch.
There is evidence that the dominant source of this evolution is the "minor"
mergers of disk galaxies with smaller companions, which could also transform
late-type spiral galaxies into early-type spiral galaxies. Interestingly, in
contrast to local galaxies we find no correlations between star formation rate
and either UV or visible asymmetry. This could arise if the star formation of
high-redshift galaxies proceeds in episodes that are short (~ 100 Myr) relative
to the time scales over which galaxy mergers produce strong asymmetries (~ 500
Myr), a result suggested by the high star formation rates of Lyman break
galaxies.
