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Building modern coexistence theory from the ground up: The role of community assembly
Authors:Jurg W Spaak  Sebastian J Schreiber
Institution:1. Department of Ecology and Evolutionary Biology, Cornell University, Ithaca, New York, USA;2. Department of Evolution and Ecology and Center for Population Biology, University of California, Davis, California, USA
Abstract:Modern coexistence theory (MCT) is one of the leading methods to understand species coexistence. It uses invasion growth rates—the average, per-capita growth rate of a rare species—to identify when and why species coexist. Despite significant advances in dissecting coexistence mechanisms when coexistence occurs, MCT relies on a ‘mutual invasibility’ condition designed for two-species communities but poorly defined for species-rich communities. Here, we review well-known issues with this component of MCT and propose a solution based on recent mathematical advances. We propose a clear framework for expanding MCT to species-rich communities and for understanding invasion resistance as well as coexistence, especially for communities that could not be analysed with MCT so far. Using two data-driven community models from the literature, we illustrate the utility of our framework and highlight the opportunities for bridging the fields of community assembly and species coexistence.
Keywords:coexistence  invasion growth rates  modern coexistence theory  niche and fitness differences  permanence theory  storage effect
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