I have a feeling I've been to the place you are currently visiting. And I came back disappointed. One of the major issues of making models of cultural evolution is that you cannot model outside of the system. This is actually way more problematic that it seems. Genes do not care what you think of them. When you are studying culture, your thoughts are meant to interact with the subject you are studying (talk to any cultural studies scientist), emancipate it, influence it. This is actually way more explicit than I could believe at first glance.

In other words, scientific community will actively reject or adapt your model. Think how impact factor was born and what's its role at the moment.

Maybe the question isn't how to reasonably build an evolutionary model of science, but how to build a model that is reasonable?