“…These efforts include largely empirical models (e.g., Moore et al, 1998;Liu et al 2005), semi-empirical models (e.g., Iacono-Marziano et al, 2012;Ariskin et al, 2013;Duan, 2014), and thermodynamical models using various formalisms (e.g., Papale, 1999;Moretti et al, 2003). These models have found a wide range of applications, which includes the interpretation of melt inclusion data (Papale, 2005;Moore, 2008), the interpretation of gas measurements on active volcanoes (Aiuppa et al, 2007;Oppenheimer et al, 2011), the feedback between chemistry and physics in conduit flow models (Papale and Polacci, 1999;Burgisser et al, 2008), and the assessment of the impact of volcanic gases on the atmosphere of terrestrial planets Scaillet, 2009, 2014;Gaillard et al, 2011).…”