The integrated bolometric effective surface brightness S-e distributio
ns of starbursts are investigated for samples observed in (1) the rest
frame ultraviolet (UV), (2) the far-infrared and H alpha, and (3) 21
cm radio continuum emission. For the UV sample we exploit a tight empi
rical relationship between UV reddening and extinction to recover the
bolometric flux. Parameterizing the S-e upper limit by the 90th percen
tile of the distribution, we find a mean S-e9.0=2.0x10(11)L.kpc(-2) fo
r the three samples, with a factor of 3 difference between the samples
. This is consistent with what is expected from the calibration uncert
ainties alone. We find little variation in S-e.90 with effective radii
for R-e similar to 0.1 - 10 kpc, and little evolution out to redshift
s approximate to 3. The lack of a strong dependence of S-e.90 on wavel
ength, and its consistency with the pressure measured in strong galact
ic winds, argue that it corresponds to a global star formation intensi
ty limit ((Sigma) over dot(e.90)similar to 45 - M. kpc(-2)yr(-1)) rath
er than being an opacity effect. There are several important implicati
ons of these results: (1) There is a robust physical mechanism limitin
g starburst intensity. We note that starbursts have S-e consistent wit
h the expectations of gravitational instability models applied to the
solid body rotation portion of galaxies. (2) Elliptical galaxies and s
piral bulges can plausibly be built with maximum intensity bursts, whi
le normal spiral disks cannot, (3) The UV extinction of high-z galaxie
s is significant, implying that star formation in the early universe i
s moderately obscured. After correcting for extinction, the observed m
etal production rate at z similar to 3 agrees well with independent es
timates made for the epoch of elliptical galaxy formation. (C) 1997 Am
erican Astronomical Society.