Since aDNA research suggested a marked gene influx from Eastern into Central Europe in the 3rd millennium bc, outdated, simplistic narratives of massive migrations of closed populations have re-appeared in archaeological discussions. A more sophisticated model of migration from the steppes was proposed recently by Kristiansen et al. As a reaction to that proposal, this paper aims to contribute to this ongoing debate by refining the latter model, better integrating archaeological data and anthropological knowledge. It is argued that a polythetic classification of the archaeological material in Central Europe in the 3rd millennium reveals the presence of a new complex of single grave burial rituals which transcends the traditional culture labels. Genetic steppe ancestry is mainly connected to this new kind of burials, rather than to Corded Ware or Bell Beaker materials. Here it is argued that a polythetic view on the archaeological record suggests more complicated histories of migration, population mixtures and interaction than assumed by earlier models, and ways to better integrate detailed studies of archaeological materials with a deeper exploration of anthropological models of mobility and social group composition and the molecular biological data are explored.