10 0 10-1 100 Mpc simulation (z = 1.0) 34 Mpc simulation (z = 1.0) (Mpc/h) -3 / mag 10-2 10-3 10-4 10-5 -24-22 -20-18 -16-14 M B - 5 log h (Mpc/h) -3 / mag 10 0 10-1 10-2 10-3 10-4 conbined simulation Faber+ 2007 (z = 1.1) 10-5 -24-22 -20-18 -16-14 M B - 5 log h

10 0 10-1 100 Mpc simulation (z = 1.0) 34 Mpc simulation (z = 1.0) (Mpc/h) -3 / mag 10 0 10-1 10-2 10-3 10-4 10-5 Model 0 Model 1 Model 2 Dahlen+ 2007 (z = 1.14) MUV = -20 (h = 0.72) -24-22 -20-18 -16-14 M UV - 5 log h (Mpc/h) -3 / mag (Mpc/h) -3 / mag 10-2 10-3 10-4 10-5 10 0 10-1 10-2 10-3 10-4 10-5 -24-22 -20-18 -16-14 M UV - 5 log h conbined simulation Dahlen+ 2007 (z = 1.14) -24-22 -20-18 -16-14 M UV - 5 log h

SFR weighted fraction [dm UV -1 ] galaxy count 0.2 0.1 0 4 2 simulation: Z<Z crit no Z crit Z crit /Z o = 0.5 Z crit /Z o = 0.1 observations CC SN host GRB host 0-22 -20-18 -16-14 -12 M UV - 5 log h

SFR weighted fraction of galaxies [< M UV ] 0.6 0.5 1 0.8 0.6 0.4 0.2 0 no Z crit Z crit /Z o = 0.5, 0.1, 0.025, 0.001 observed CC SNe host observed GRB host -22-20 -18-16 -14 M UV - 5 log h SN GRB P KS 0.4 0.3 0.2 0.1 0 0.001 0.01 0.1 1 Z crit /Z o no Z crit

SFR weighted fraction of galaxies [< M UV ] K-S test significance 1 0.8 0.6 0.4 0.2 0 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 no E(B-V) crit E(B-V) crit = 0.1, 0.05, 0.02, 0.03, 0.01 (Z crit = infty) observed CC SNe host observed GRB host -22-20 -18-16 -14 M UV - 5 log h SN host GRB host 0.01 0.1 E B-V,crit no E B-V,crit

10 0 10-1 Model 0 Model 1 Model 2 Dahlen+ 2007 (z = 1.14) (Mpc/h) -3 / mag 10-2 10-3 10-4 10-5 MUV = -20 (h = 0.72) -24-22 -20-18 -16-14 M UV - 5 log h 0.6 0.7 0.6 0.5 0.5 0.4 0.4 SN, model 1 (i.e. steep bright-end) GRB, model 1 SN, model 2 (i.e. horizontal shift) GRB, model 2 P KS 0.3 0.3 0.2 0.2 0.1 0.1 0 0.001 0.01 0.1 1 Z crit /Z o no Z crit

10 0 10-1 100 Mpc simulation (z = 1.0) 34 Mpc simulation (z = 1.0) conbined simulation simulation w/o dust model Faber+ 2007 (z = 1.1) (Mpc/h) -3 / mag 10-2 10-3 10-4 10-5 10 0 10-1 -24-22 -20-18 -16-14 M B - 5 log h 100 Mpc simulation (z = 1.0) 34 Mpc simulation (z = 1.0) -24-22 -20-18 -16-14 M B - 5 log h conbined simulation simulation w/o dust model Dahlen+ 2007 (z = 1.14) (Mpc/h) -3 / mag 10-2 10-3 10-4 10-5 -24-22 -20-18 -16-14 M UV - 5 log h -24-22 -20-18 -16-14 M UV - 5 log h

0.5 0.0-0.5 log Z/Z o -1.0-1.5-2.0-2.5-3.0 34 Mpc simulation (z = 1.0) 100 Mpc simulation (z = 1.0) Savaglio+ 2005 empirical formula (z = 1.0) Perez-Montero+ 2009 (z = 0.9-1.24) 6 7 8 9 10 11 log M * /M o SFR-Weighted Gas Particle Number Distribution dn gas /d(log 10 Z) 34 Mpc simulation (z = 1.0) Z galaxy /Z o = 1.0 Z galaxy /Z o = 0.1 Z galaxy /Z o = 0.01 100 Mpc simulation (z = 1.0) Z galaxy /Z o = 1.0 Z galaxy /Z o = 0.1 Z galaxy /Z o = 0.01-3 -2-1 0 1 log 10 Z/Z o

SFR weighted fraction of galaxies [< M UV ] 0.6 0.5 1 0.8 0.6 0.4 0.2 0 SN, model 0 (i.e. original simulation) GRB, model 0 no Z crit Z crit /Z o = 0.5, 0.1, 0.025, 0.001 observed CC SNe host observed GRB host -22-20 -18-16 -14 M UV - 5 log h 0.4 P KS 0.3 0.2 0.1 0 0.001 0.01 0.1 1 Z crit /Z o no Z crit