Pseudoequivalent potential temperature

From Glossary of Meteorology

pseudoequivalent potential temperature

The temperature a sample of air would have if it were expanded by a pseudoadiabatic process to zero pressure and then compressed to a reference pressure of 1000 hPa by a dry-adiabatic process.

This quantity is conserved in a pseudoadiabatic process and is given approximately by
where T is the temperature (K), p is the pressure (Pa),p0 is the reference pressure (100000 Pa), Tc is the condensation temperature (obtainable from the dewpoint formula) and rv is the water vapor mixing ratio (kg kg-1). When rv = 0, θep = θ, the potential temperature.

Bolton, D. 1980. The computation of equivalent potential temperature. Mon. Wea. Rev.. 108. 1046–1053.