Increasing the relevance of mathematical approaches to demographic history

In this short paper we comment on recent efforts at formally modelling the inter- play between demography and cultural evolution. We draw attention to the fact that, although these efforts are to be applauded, much work has already been done in this area, and that this work is being ignored. We build a case for tighter collaboration between different social science disciplines concerned with human behaviour and long-term demography, and argue that mathematical models must be paired with empirical data.