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tokens: We thank the anonymous referee for their detailed comments and suggestions that improved this study. We also thank Anahita Alavi, Philip Best, Rychard Bouwens, Naveen Reddy, and Irene Shivaei for their insightful discussions and comments. The catalogues used in this analysis are publicly available from Sobral et al. ( 2013a ). DS acknowledges financial support from the Netherlands Organization for Scientific research (NWO) through a Veni fellowship, from FCT through an FCT Investigator Starting Grant and Start-up Grant (IF/01154/2012/CP0189/CT0010) and from FCT grant PEst-OE/FIS/UI2751/2014. IRS acknowledges support from ST7C (ST/L00075X/1), the ERC Advanced Grant DUSTYGAL (321334) and a Royal Society/Wolfson Merit award. BD acknowledges financial support from NASA through the Astrophysics Data Analysis Program (ADAP), grant number NNX12AE20G. JPS gratefully acknowledges support from a Hintze Research Fellowship.