In this form, isentropic potential vorticity is represented as gravity, multiplied by absolute vorticity, multiplied by static stability.
The units of isentropic potential vorticity are:
PV values will be high where either static stability or vorticity is high. Due to the high static stability of the stratosphere, PV values greater than 1.0 usually indicate air of stratospheric origin.
If PV is calculated on an isentropic surface near the tropopause, high PV values (PV anomalies) can indicate locations where stratospheric air has extended downward into the troposphere. These downward penetrations of stratospheric air are often refered to as "tropopause undulations" or "tropopause folds".
According to Hirschberg et al. (1991), tropopause undulations, especially their associated temperature changes, can act synergistically with lower tropospheric processes to initiate, maintain, and enhance the development of extratropical cyclones.
Specifically, if hydrostatic balance is assumed and if an isobaric lid exists, then the juxtaposition of high-level warmth associated with a developing tropopause undulation and low-level warmth associated with tropospheric baroclinic regions creates the potential for the production of relatively low pressure at the ground.
The production of low pressure near the ground has the potential to produce increased low level convergence and upward vertical motion.
Upward vertical motion of a moist, unstable airmass can produce condensation and latent heat release, leading to further warming of the airmass and lowering of the pressures near the ground.