Is math capable of predicting social evolution?

Is math capable of predicting social evolution?

By the way math and statistics are evolving, it seems possible to me that
with time, and as the population increases, we are going to be able to
create mathematical models that predict social movements, and I've heard
there is some research focused on small predictions like elections and
such, but is it mathematically possible, or likely, that math is evolving
to a point where we will be able to know with a relatively low error the
probability of certain social events to happen?
I mean something like what happened in the middle east, or 2008's crisis,
or even a more time consuming evolution. Of course it would not be able to
predict individual actions that somehow affect in a significant way this
evolution, or natural catastrophes.
More specifically, are there theories being developed? How far are we from
this kind of thing? Is it even mathematically possible? Or there are too
many variables? And what happens if we consider that the population may
never stop increasing (hypothetically)?