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We present a detailed interpretation of the spectrum of the cosmic infraredbackground longwards of 5 microns and of galaxy counts from various surveys atmid-infrared, far-infrared and submillimeter wavelengths by evolving themid-infrared local luminosity function with redshift. We find that allevolutionary models that fit the counts require a flattening at z~0.8 to avoidoverproducing the CIRB. About 80% of the 140 micron CIRB is produced at 0 < z <1.5 while only about 30% of the 850 micron background is produced within thesame redshift range. The nature of the evolution is translated into a measureof the dust enshrouded star formation rate density as a function of redshiftand compared with estimates from optical/near-infrared surveys. We find thatthe dust obscured star formation rate density appears to peak at z=0.8+/-0.1,much sooner than previously thought, with a value of 0.25+/-0.12 M_sun/yr andremains almost constant up to z~2. At least 70% of this star formation takesplace in luminous infrared galaxies with L_IR > 10^11 L_sun. The longwavelength observations that constrain our evolutionary models do not stronglytrace the evolution at z > 2 and a drop off in the dust enshrouded starformation rate is consistent with both the CIRB spectrum and the number counts.However, a comparison with the infrared luminosity function derived fromextinction corrected optical/UV observations of the Lyman-break galaxy (LBG)population at z~3 suggests that the flat comoving star formation rate seenbetween redshifts 0.8 and 2, extends up to a redshift of z~4.Comment: 44 pages, 16 figures (including 6 color), appearing in ApJ v556, 1  Aug 200

Interpreting the Cosmic Infrared Background: Constraints on the Evolution of the Dust‐enshrouded Star Formation Rate