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152                                                         G. Polhill

            Table 8.1 Arguments about validation by fit-to-data and whether the model is ‘good’ or ‘bad’
            Validation result  Good model            Bad model
            Acceptable     The model has fit the data, and we  Although the model has fit-to-data,
                           estimate it will predict accurately  it is oversimplified, relies on
                           in the future             unrealistic assumptions, doesn’t
                                                     really explain anything or doesn’t
                                                     allow for the possibility that things
                                                     could have turned out differently. Its
                                                     predictions should not be trusted
            Not acceptable  The particular course that history  The model did not fit the empirical
                           took was highly contingent on  data we have, so it must be rejected
                           phenomena that it would not be  and its predictions ignored
                           reasonable to include in any model.
                           There is a ‘possible world’ in
                           which the model would be right.
                           Alternatively, the model reproduces
                           ‘patterns’ (as per Grimm et al.
                           1996) in the data, if not the data
                           itself. It might still be worth
                           considering the model’s predictions


            have been used rather than another, but since reviewers’ statistical fetishes are
            impossible to predict, we cannot provide guidance as to how to satisfy them.
            However, we do give a summary of the various measures and their properties in
            Appendix 2 for reference.



            8.1.5 Validating Ontologies

            After summarizing the foregoing arguments, this section elaborates more on the
            structure of the model, which may be referred to as its ‘ontology’. After briefly
            introducing ontologies, we build an argument for why agent-based models have the
            scope to pay more attention to this side of modelling based on the expressivity of
            a formal language for writing ontologies. We then consider various ways in which
            ontologies could be ‘validated’ – in the sense of establishing confidence in them,
            finding that this is far from being a settled area.
              The foregoing pages had two objectives. One was to summarize all the different
            ways people try to estimate how well their model has fit some empirical data, to
            give them some kind of (preferably quantitative) idea of how much they should
            believe in its predictions. (See also Appendix 2.) The other is to argue that there is
            more to evaluating a model than just looking at its fit-to-data, largely by showing
            various ways in which fit-to-data may not be as convincing an indicator of a model’s
            suitability as some appear to believe it to be. To summarize the reasons, the first two
            of which may seem a little ‘unfair’ but should be anticipated in complex social
            systems:
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