What type of predictions can be expected of complex system modelling with regard to cultural development in stratified societies? — Galuchat
Well stratification or nested hierarchical organisation is itself predicted by Barabási's scalefree networks. The emergent powerlaw statistics of airports will be a familiar example. Eg:
http://www.pnas.org/content/104/39/15224.full.pdf
And now Bejan's Constructal Theory is pushing explicitly into social modelling. This marks a shift from purely statistical models to thermodynamical ones. Introductory chapt here:
http://www.springer.com/la/book/9780387476803
In general, hierarchy theory, which has been going strong since the 1970s, does explain hierarchical organisation in emergent terms. But that was more heuristic explanation and not mathematically developed models. Now the general mathematical models are arriving, as in the above.
You seem to be asking about cultural trends in particular. I would say that remains at the heuristic stage of argument. If you could pinpoint some trend of interest, that might jog my memory on relevant mathematical strength modelling.
But one obvious trend explained is how modern life is polarised by the contrasting pulls of specialisation and generalisation. We are both more homogenous and more diverse at the same time because we all get exposed to Trump/Kardashians/Bieber as our universal shared culture, and yet also the same social media lets us dive into the most obscure interests shared by a few.
Fifty years ago, everyone was clustered on a middle ground because TV had just a few channels. And homes, a single device. Now the internet has created a scalefree sociocultural environment. Going viral is now a thing - an emergent behaviour that is perfectly familiar.
I guess my particular slant here is then making the connection between emergence/hierarchy theory and Peircean, or even Hegelian, semiosis and dialectics.
So Peirce makes the logical and metaphysical point that all emergence must be grounded in Firstness or Vagueness - a state of pure potential or pure symmetry.
Then there is a symmetry-breaking or dichotomisation. One becomes two, as in dialectical thesis and antithesis. You get complementary bounds emerging - as in canonically, the local and global scales that are the basis of a triadic hierarchical organisation. See Stan Salthe on his basic triadic system in his classic, Evolving Hierarchical Systems.
So the emergent model is the Peircean one of an unbroken potential that breaks and separates in opposite directions, and having done that, becomes stratified because the two tendencies thus created get mixed - go to statistical equilibrium - across all available scales.
And it is very easy to read this into current world affairs. For instance, we have had 30 years of economic globalisation. And the natural response to that is a new call for economic localisation.
This is being read as a pendulum swing in politics. We went one way, now we must go the other. But really, political attention should be focused on the systems fact that an economic agenda predicated on liberated growth is going to go strongly in both these directions anyway. That is predictable. What will vanish from the system is the middle ground. Or rather, any proper mean or average scale of economic action.
So it is not either/or, but both - and both being expressed across all available scales of organisation. And we can then measure a "fully stratified" hierarchical organisation in terms of its approach to this powerlaw ideal of having no actual mean.
A non-growth system would be characterised by approaching the Gaussian limit of a precisely specified mean. A free-growth system does the opposite. And understanding this is pretty important if you want to have a sensible political conversation about the emergence of radical wealth inequality, or the "surprising" disappearance of the middle class.