Shirani, F.; Miller, J.; Freeman, B.

Existing theory examining the coevolutionary dynamics of species' range borders assumes random dispersal, which causes maladaptive gene flow from the range core to the range margins and contributes to the formation of range limits. However, dispersal is unlikely to be random for many organisms in nature, calling into question the predictions of the theories. For example, if individuals exhibit phenotype-dependent adaptive dispersal strategies such as matching habitat choice, then the resulting adaptive gene flow toward species' range margins could facilitate range expansions and potentially prevent the formation of range limits by interspecific competition. To test this idea, we use a comprehensive mathematical model to develop a quantitative theory of range limit coevolution that further incorporates phenotype-optimal dispersal---a particular form of matching habitat choice in which individuals follow the gradient in an environmental optimum phenotype to settle in a habit best suited for their phenotype. We find that instead of preventing competitively formed range limits, adaptive dispersal leads to sharper range limits and reduced character displacement in sympatry. These differences are particularly remarkable when natural selection is weak, when individuals are highly specialized in their resource utilization, or when individuals are highly sensitive to environmental conditions. We show that matching habitat choice causes backward edge-to-core movements which dynamically interact with the effects of interspecific competition to establish the range limits. Thus, the formation of range limits by interspecific competition is robust to assumptions about individual dispersal. Further,our results identify the competitive advantage of evolving matching habitat choice in steep environmental gradients, specifically for slowly-growing species in rapidly fluctuating climates.