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12 Mpc simulation (z = 1.0) 34 Mpc simulation (z = 1.0) (Mpc/h) -3 / mag M B - 5 log h (Mpc/h) -3 / mag conbined simulation Faber (z = 1.1) M B - 5 log h

13 Mpc simulation (z = 1.0) 34 Mpc simulation (z = 1.0) (Mpc/h) -3 / mag Model 0 Model 1 Model 2 Dahlen (z = 1.14) MUV = -20 (h = 0.72) M UV - 5 log h (Mpc/h) -3 / mag (Mpc/h) -3 / mag M UV - 5 log h conbined simulation Dahlen (z = 1.14) M UV - 5 log h

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16 SFR weighted fraction [dm UV -1 ] galaxy count 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 M UV - 5 log h

17 SFR weighted fraction of galaxies [< M UV ] no Z crit Z crit /Z o = 0.5, 0.1, 0.025, observed CC SNe host observed GRB host M UV - 5 log h SN GRB P KS Z crit /Z o no Z crit

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19 SFR weighted fraction of galaxies [< M UV ] K-S test significance 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 M UV - 5 log h SN host GRB host E B-V,crit no E B-V,crit

20 Model 0 Model 1 Model 2 Dahlen (z = 1.14) (Mpc/h) -3 / mag MUV = -20 (h = 0.72) M UV - 5 log h SN, model 1 (i.e. steep bright-end) GRB, model 1 SN, model 2 (i.e. horizontal shift) GRB, model 2 P KS Z crit /Z o no Z crit

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23 Mpc simulation (z = 1.0) 34 Mpc simulation (z = 1.0) conbined simulation simulation w/o dust model Faber (z = 1.1) (Mpc/h) -3 / mag M B - 5 log h 100 Mpc simulation (z = 1.0) 34 Mpc simulation (z = 1.0) M B - 5 log h conbined simulation simulation w/o dust model Dahlen (z = 1.14) (Mpc/h) -3 / mag M UV - 5 log h M UV - 5 log h

24 log Z/Z o Mpc simulation (z = 1.0) 100 Mpc simulation (z = 1.0) Savaglio empirical formula (z = 1.0) Perez-Montero (z = ) 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 = Mpc simulation (z = 1.0) Z galaxy /Z o = 1.0 Z galaxy /Z o = 0.1 Z galaxy /Z o = log 10 Z/Z o

25 SFR weighted fraction of galaxies [< M UV ] SN, model 0 (i.e. original simulation) GRB, model 0 no Z crit Z crit /Z o = 0.5, 0.1, 0.025, observed CC SNe host observed GRB host M UV - 5 log h 0.4 P KS Z crit /Z o no Z crit

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2004

2004 2008 3 20 400 1 1,222 7 1 2 3 55.8 54.8 3 35.8 6 64.0 50.5 93.5 1 1,222 1 1,428 1 1,077 6 64.0 52.5 80.5 56.6 81.5 30.2 1 2 3 7 70.5 1 65.6 2 61.3 3 51.1 1 54.0 2 49.8 3 32.0 68.8 37.0 34.3 2008 3 2 93.5

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