“…Another open question is, What is the most convenient set of thermodynamic parameters, e.g., {D, χ s } or {κ, β q ,0 } (see Section 5.1)? In particular, it would be helpful to learn whether the dependence of w e on the thermodynamic parameters can be well represented in terms of just one parameter instead of two, like in terms of D/χ s + 1 (e.g., de Lozar & Mellado 2015a), or in terms of κ, which has often been used to parameterize not only w e , but also cloud thinning and cloud cover (e.g., Moeng 2000, Yamaguchi & Randall 2008, Lock 2009, Sandu & Stevens 2011, Xiao et al 2011, van der Dussen et al 2014. Moreover, the effect of condensational growth by radiative cooling needs to be better quantified, and this effect introduces one more thermodynamic parameter, for example, ψ s , which defines the saturation line, ψ −1 s ψ + χ −1 s χ = 1 (see Figure 4), and the fraction of radiative cooling affecting the enthalpy but not the buoyancy, β q ,0 ψ −1 s (see Equation 19).…”