Application of the modified Estel's potential vorticity to investigation of atmospheric climate variability

It can be shown that the freedom available in Ertel's potential vorticity definition allows one to arrive at a pair of (q, x(8))-variables [q is the modified potential vorticity (MPV), X(8) is the appropriately taken function of potential temperature e which enters MPV-definition], such that the air mass enclosed within solenoids formed by intersection between the families of equiscalar surfaces q=const and x=const is nearly preserved despite the inftuence of diabatic heating and turbulent friction. It is hypothesized and attempted to prove that in (q,X)-co-ordinates the long-term atmospheric climate processes admit a simple statistical description.Pages: 131-13