Abstract Given a flow domain D with subdomains D1 and D2, piecewise potential vorticity inversion (PPVI) inverts (PV) anomaly in D2 assumes vanishing PV where boundary conditions must be taken into account. It is widely held view that the exerts far-field influence on D1, which revealed by PPVI. Tests of this assertion are conducted using simple quasigeostrophic model an upper layer contains un...