Ontomemy mirrors ontogeny. However, few study ontomemy - and the field has a pretty dismal literature. People look at particular cultural developmental processes. So for example there's the study of cooking - which looks at how recipes are translated into edible food. However, practically nobody seems to be looking at the field as a whole. We do know that ontomemy doesn't necessarily recapitulate phylomemy - but many other issues are still wide open.
One of the problems with ontogeny is that developmental processes tend to be idiosyncratic and unique - and the field has been relatively resistant to the process of finding general principles.
Ontomemy goes a bit beyond the scope of this blog, but - in case anyone is interested - there's a whole area of science out there that practically nobody seems to be working on.