We have also seen periods of more rapid surface atmosphere warming. (skepticalscience.com)
400 W / m2 out IR, 85 % of outgoing IR absorbed by surface atmosphere layer. (judithcurry.com)
If that point is known (yes I know it won't be a sharpt break between convection and radiation, but let's keep it simple), then the equation above can be used to find the increase in surface temperature resulting from an isentropic near surface atmosphere. (wattsupwiththat.com)