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| We consider a two-species competition model in a one-dimensional advective environment, where individuals are exposed to unidirectional flow. The two species follow the same population dynamics but have di erent random dispersal rates and subject to a net loss of individuals from the habitat at the downstream end. We establish the existence of a critical advection speed for the persistence of a single species. For homogeneous advective environments with free-flow boundary conditions, we show that populations with higher dispersal rate will always displace populations with slower dispersal rate. In contrast, for hostile boundary conditions, it seems that there is a unique dispersal rate that is evolutionarily stable. Nevertheless, both scenarios show that unidirectional flow can put slow dispersers at a disadvantage and higher dispersal rate can
evolve. We will also discuss further development in closed advective environments. |
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