“…As Baumann and Kaus () pointed out, integrated approaches that jointly invert or model a number of data sets sensitive to the thermochemical structure of the Earth (e.g., Afonso, Fullea, Griffin, et al, ; Afonso, Fullea, Yang, et al, ; Afonso, Moorkamp, et al, ; Khan et al, , ) would constitute a more appropriate and generally applicable approach. In this context, the recent work of Afonso, Fullea, Griffin, et al (); Afonso, Fullea, Yang, et al (); and Afonso, Rawlinson, et al () has made significant progress toward such goal by presenting a multi‐observable probabilistic inversion method that simultaneously invert the most appropriate data sets (with the necessary complementary sensitivities) for the temperature and compositional structure of the lithosphere and upper mantle: Rayleigh wave dispersion data, teleseismic P and S traveltimes, gravity anomalies, geoid height, satellite‐derived gravity gradients, surface heat flow, and absolute elevation; P wave receiver functions have also been implemented recently (Tork Qashqai et al, , ). Although Afonso, Rawlinson, et al () included dynamic contributions to absolute elevation and gravity observables from the instantaneous sublithospheric flow, their implementation of the Stokes forward problem was inefficient and based on a number of simplifying assumptions to make the problem tractable in the probabilistic framework.…”