A simple and versatile parameterized approach to star formation history all
ows a quantitative investigation of constraints from far-infrared and submi
llimeter counts and background intensity measurements. The models include f
our spectral components: infrared cirrus (emission from interstellar dust),
an M82-like starburst, an Arp 220-like starburst, and an active galactic n
ucleus (AGN) dust torus. The 60 km luminosity function is determined for ea
ch chosen rate of evolution using the Point Source Catalog Redshift Survey
(PSCz) redshift data for 15,000 galaxies. The proportions of each spectral
type as a function of 60 mum luminosity are chosen for consistency with IRA
S and SCUBA color-luminosity relations, and with the fraction of AGNs as a
function of luminosity found in 12 mum samples. The luminosity function for
each component at any wavelength can then be calculated from the assumed s
pectral energy distributions (SEDs). With assumptions about the optical SED
s corresponding to each component and, for the AGN component, an assumed de
pendence of the dust covering factor on luminosity, the optical and near-in
frared counts can be accurately modeled. High- and low-mass stars are treat
ed separately, since the former will trace the rate of star formation, whil
e the latter trace the cumulative integral of the star formation rate. A go
od fit to the observed counts at 0.44, 2.2, 15, 60, 90, 175, and 850 mum ca
n be found with pure luminosity evolution in all three cosmological models
investigated: Ohm (0) = 1, Ohm (0) = 0.3 (Lambda = 0), and Ohm (0) = 0.3, L
ambda = 0.7. All three models also give an acceptable fit to the integrated
background spectrum. Selected predictions of the models, for example redsh
ift distributions for each component at selected wavelengths and fluxes, ar
e shown. The effect of including an element of density evolution is also in
vestigated. The total mass-density of stars generated is consistent with th
at observed, in all three cosmological models.