Generalization and the evolution of symmetry preferences

Biological displays are often symmetrical, and there is growing evidence that receivers are sensitive to these symmetries. One explanation for the evolution of such sensitivity is that symmetry reflects the quality of the signaller. An alternative is that the sensitivity may arise as a by-product of general properties of biological recognition systems. In line with the latter idea, simulations of the recognition process based on simple, artificial neural networks have suggested that generalization can give rise to preferences for particular symmetrical stimuli. However, it is not clear from these studies exactly how the preferences emerge, and to what extent the results are relevant to biological recognition systems. Here, we employ a different class of recognition models (gradient interaction models) to demonstrate more clearly how generalization can generate a preference for symmetrical variants of a display. We also point out that the predictions of the gradient interaction and network-based models regarding the effects of generalization closely match the results from empirical studies of stimulus control. Our analysis demonstrates that the effects of generalization cannot be ignored when studying the evolution of symmetry preferences and symmetric signals.