The Bi-variate Luminosity-color Distribution of Iras Galaxies, and Implications for the High Redshift Universe

We present a characterization of the local luminosity-color, bi-variate distribution of IRAS galaxies from the 1.2 Jy sample, selected at 60μm. The R(60,100) infrared color is used as the best single parameter description of the IR spectral energy distribution of galaxies. We derive an analytical form of the distribution and use it to constrain the effect of the IR color distribution on evolution models for high redshift, farIR luminous galaxies. Our adopted evolution retains the locally observed correlation between luminosity and color, such that the larger characteristic luminosities at higher redshift have a warmer characteristic color. The width of the color distribution at a given luminosity remains constant for all redshifts. We demonstrate that there is the potential for both hotter and colder sources to be missed in cosmological surveys. An evolving bi-variate luminosity function coupled with the cold source bias of sub-mm selected surveys suggests the existence of a large population of cold sources appearing in such surveys. Likewise, a hot source bias for most SIRTF wavebands together with a bi-variate model suggests an excess of hot sources being selected. We test the evolutionary form against available data for higher redshift, farIR galaxies. The data do not reveal evidence for any strong evolution in the characteristic luminositycolor distribution as a function of redshift over 0 < z < 1. However, there is marginal evidence for a broadening of the color distribution at higher redshifts, consistent with our locally characterized trend of a broadening in the IR color distribution at the highest luminosities. Subject headings: galaxies: evolution — galaxies: formation — sub-mm: galaxies — radio: galaxies — IR: galaxies