“…Of particular relevance to the current purpose, case studies have demonstrated that some properties of phonological systems can be derived from information theoretic or Bayesian considerations about message transmission, including work on allophony (Hall 2009(Hall , 2012, assimilation (Turnbull, Seyfarth, Hume & Jaeger, in prep), epenthesis (Hume & Bromberg 2005;Hong 2011;Tily & Kuperman 2012), markedness (Hume 2005;Hume et al 2016), phoneme mergers (Wedel et al 2013a,b), vowel harmony (Goldsmith & Riggle 2012), and consonant deletion (Cohen Priva 2015). What has been lacking to date is a larger picture of how these individual pieces fit together to predict the shape of phonological systems more generally (though see, e.g., Cohen Priva 2012; Flemming 2010; Wedel 2012, Hall 2013Hume & Mailhot 2013;Moulin-Frier et al 2015 for steps in this direction). Providing this larger picture is our goal here.…”