The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. as human dispersals and extinctions, the spread of agriculture and culture change, the method can offer a powerful means to improve considerably the precision of prehistorians' investigation of some of the most major questions in human prehistory. As such its potential is profound -it has even been regarded as the third radiocarbon revolution -but its appropriateness is dependent on the assumptions that must be made of the samples selected for dating. How sound are these assumptions, and therefore how reliable are Bayesian analyses? Here, we introduce some aspects and assumptions that underline Bayesian modelling of radiocarbon measurements, and we problematise their application in Palaeolithic archaeology. We conclude that many existing models are faulty, and suggest some criteria for quality control in this field.