“…Later, additional studies evaluated hormetic effects in toxicant dose-response (Calabrese and Baldwin, 2003;Calabrese and Cook, 2005). Although these studies highlighted the potential importance of hormesis, other authors have expressed skepticism, pointing out a lack of formality in the hypothesis testing procedures, unknown specificity and sensitivity, and potential adverse consequences of incorporating hormetic models into policy decisions (Crump, 2001;Thayer and others, 2005;Mushak, 2009). When attempting to distinguish hormesis from a monotonic dose-response relationship (see Figure 1), the importance of flexible dose-response modeling has been discussed (Sielken and Stevenson, 1998), and several dose-response models for testing monotonicity versus non-monotonicity have been proposed (Bowman and others, 1998;Hall and Heckman, 2000;Schabenberger and Birch, 2001;Hunt and Bowman, 2004;Hans and Dunson, 2005;Hunt and Rai, 2005;Belz and Piepho, 2012;Zhang and others, 2013;Kim and others, 2015).…”