I've done some research on the relationships between Spiral Dynamics and Socionic Quadras.

More info on SD : http://spiraldynamics.org/

If this hypothesis is true, Gulenko's Law of the Removability of Quadras is wrong.

I read of that Law, and percieved that correlations :

Alpha : Level-2
Beta : Level-3
Gamma : Level-5
Delta : Level-6

So where's Level-4 ?

Quadras and SD Levels are more correlated like this IMO :

Alpha : Levels 2 and 6
Beta : Levels 3 and 7
Gamma : Levels 1 and 5
Delta : Levels 4 and 8

Judicious/Resolute (or Peripheral/Central) seems to correlate with the SD definition of Sacrificial/Expressive (even/odd levels).
Objectivist/Subjectivist correlates with Levels 1458 / 2367.
Democratic/Aristocratic correlates with Levels 1256 / 3478.

Society's evolution would have the pattern Gamma => Alpha => Beta => Delta, instead of Alpha => Beta => Gamma => Delta. Gulenko's Law of the Removability of Quadras is possibly wrong.

Let's suppose that society has 4 evolutory channels ; one for each jungian function. It would give this pattern (+/- is process/result) :

Code:
            15 26 37 48
  Sensing : E+ I+ I- E-
Intuition : I+ E+ E- I-
   Ethics : I- E- E+ I+
    Logic : E- I- I+ E+
It would give some circulary pattern

If this hypothesis is true, society evolves more according to Octaves than Quadras ; it could also be seen like Perception and Judgement with + and - alternating.