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Pushed to the edge: Spatial sorting can slow down invasions
Authors:Allison K Shaw  Frithjof Lutscher  Lea Popovic
Institution:1. Department of Ecology, Evolution, and Behavior, University of Minnesota, St. Paul, Minnesota, USA;2. Department of Mathematics and Statistics and Department of Biology, University of Ottawa, Ottawa, Ontario, Canada;3. Department of Mathematics and Statistics, Concordia University, Montreal, Quebec, Canada
Abstract:Our ability to understand population spread dynamics is complicated by rapid evolution, which renders simple ecological models insufficient. If dispersal ability evolves, more highly dispersive individuals may arrive at the population edge than less dispersive individuals (spatial sorting), accelerating spread. If individuals at the low-density population edge benefit (escape competition), high dispersers have a selective advantage (spatial selection). These two processes are often described as forming a positive feedback loop; they reinforce each other, leading to faster spread. Although spatial sorting is close to universal, this form of spatial selection is not: low densities can be detrimental for organisms with Allee effects. Here, we present two conceptual models to explore the feedback loops that form between spatial sorting and spatial selection. We show that the presence of an Allee effect can reverse the positive feedback loop between spatial sorting and spatial selection, creating a negative feedback loop that slows population spread.
Keywords:Allee effect  biological invasion  dispersal kernel  eco-evolutionary dynamics  integrodifference equation  invasion speed  range expansion  spread speed
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