Gas velocity dispersion (left panel) and V_rot/σ_V ratio (right panel) as a function of redshift. The pink band shows the model from Wisnioski et al. (2015) based on the Toomre-disk instability criterion. The dashed lines show the best-fit functions from Übler et al. (2019) using IFU data of ionized gas (red) and NOEMA data of molecular gas (blue). The points show individual galaxies that satisfy two quality criteria: (1) ALMA observations of cold gas tracers such as CO (blue points), [C I] (green), and [C II] (cyan) lines, and (2) detailed kinematic modeling with ^3DBAROLO.