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Motivated by recent observations of the star formation rate density functionout to z~7, we describe a simple model for the star formation rate densityfunction at high redshift based on the extended Press-Schechter formalism. Thismodel postulates a starburst following each major merger, lasting for a timet_SF and converting at most f_star of galactic gas into stars. We include asimple physical prescription for supernovae feedback that suppresses starformation in low mass galaxies. Constraining t_SF and f_star to describe theobserved star formation rate density at high redshifts, we find that individualstarbursts were terminated after a time t_SF~10^7 years. This is comparable tothe main-sequence lifetimes of supernova progenitors, indicating that highredshift starbursts are quenched once supernovae feedback had time to develop.High redshift galaxies convert ~10% of their mass into stars for galaxies withstar formation rates above ~1 solar mass per year, but a smaller fraction forlower luminosity galaxies. Our best fit model successfully predicts theobserved relation between star formation rate and stellar mass at z>~4, whileour deduced relation between stellar mass and halo mass is also consistent withdata on the dwarf satellites of the Milky Way. We find that supernovae feedbacklowers the efficiency of star formation in the lowest mass galaxies and makestheir contribution to reionization small. As a result, photo-ionizationfeedback on low mass galaxy formation does not significantly affect thereionization history. Using a semi-analytic model for the reionization history,we infer that approximately half of the ionizing photons needed to completereionization have already been observed in star-forming galaxies.

A suppressed contribution of low mass galaxies to reionization due to supernova feedback