Weber's law of proportional processing influences coevolution of ornaments and preferences in models of sexual selection

Mate preferences are often influenced by the magnitude of sexual signals, which are presumed to indicate underlying aspects of signaller quality. Although the perception of these signals depends on sensory processes, the role of perceptual adaptations and constraints in mate assessment is frequently overlooked. Many sensory systems follow Webers law of proportional processing, where discrimination between signals is based upon their proportional, or relative, difference rather than their absolute difference. Because preference strength varies with relative trait magnitude, Webers law could strongly influence sexual selection, changing the coevolution of traits and preferences. Here, we explore the consequences of Webers law for sexual selection using individual-based models, applying Scalar Utility Theory to mate choice. We investigate the coevolution of male ornaments and female preferences under both Fisherian and good genes scenarios, as well as scrutinizing the sexual selection of multiple ornaments and preferences. Including Webers law in these models either reduced ornament exaggeration, or promoted exaggeration and diversification of ornaments and preferences, depending on the costs of choice and how rapidly female survival decreases when preferences evolve away from the naturally selected optimum. These results highlight the importance of perception and cognitive processing in shaping sexual selection and its evolutionary impacts.