Despite the relative success and proliferation of agent-based modelling in archaeology, an unsolved debate remains over the epistemological nature of simulation models as explanatory.
To be explanatory, models must connect a process to a phenomenon, as defined to the best of our knowledge (representation), and to the evidence we raise and select as relevant (validation). Both archaeologists and non-simulation modellers sometimes dismiss agent-based models in archaeology as straying too far from archaeological evidence. Why should we dare (or even bother) to simulate past processes that cannot be observed through material remains?
Unfortunately, it is too easy to ignore the difference between descriptive and explicative models and leave archaeological interpretations imposed on descriptive models unchecked by formalisation. When a descriptive mathematical model is used, a good validation result (fit given an evidence set) does not guarantee that the interpretative model represents the process to which it is attributed. More importantly, good validation can be mistaken for good representation.
For example, imagine we, as archaeologists, are convinced that humans could feed on a certain kind of rock at some remote point in the past. When we apply the most robust methods in cartography and inferential statistics to evidence of human presence and findings of such rocks, we might find that a positive correlation confirms our belief. However, the representational link between our interpretation and the reality of the past process is weak. Our belief would hold only if it were impermeable to formalisation and a broader knowledge base. Alternatively, perhaps, we would quickly realise the metabolic constraints of stone digestion.
Modelling structures your thoughts about the world, and mathematical modelling does so with extra discipline. Explanatory and, particularly, simulation modelling, however, is doing that specifically for reconstructing processes, stories, or, in other words, the mechanisms or webs of causality that we presume to be behind the semi-static reality we observe (e.g., archaeological materials).
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