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Coexistence outcomes often depend on the complex interplay of species interactions. Consequently in some cases, the extinction of one species can trigger the loss of another, a process known as secondary extinction, as explained by a plaque I came across at the Bronx Zoo. (2/X)

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We apply recently-developed techniques from dynamical systems theory and modern coexistence theory to identify (1) WHEN and WHY secondary extinctions occur. We demonstrate that invasion growth rates (per capita growth rates of species when rare) can achieve these goals! (3/X)

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We use invasion growth rates to develop the "Community Disassembly Graph". Nodes represent coexisting communities and directed edges represent transitions from one community composition to another due to extinction. We can use this graph to identify possible secondary extinctions. (4/X)

Ответ для Joe Brennan

Once we identify when a secondary extinction occurs, we can understand why by asking (1) why the secondarily extinct species has a negative invasion growth rate at the disassembled community but (2) a positive invasion growth rate in a community containing the primarily extinct species (5/X)

Ответ для Joe Brennan

We apply this to three different models to show its utility. We use an empirically-derived model from @nathanjbkraft.bsky.social's lab to identify possible secondary extinctions in a fully competitive, annual plant community and demonstrate how these dynamics arise! (6/X)

Ответ для Joe Brennan

We then apply our method to a grassland community with both facilitation and competition. We find several possible secondary extinctions and find that a mix of competition against the secondarily extinct species and facilitation for competitors against the secondarily extinct species. (7/X)

Ответ для Joe Brennan

Lastly, we apply it to a model of keystone predation to demonstrate how the loss of a top predator can cause the secondary extinction of a prey species, paying homage to classic experiments of secondary extinction by Dr. Robert Paine. (8/X)

Ответ для Joe Brennan

Excited to hear folks' thoughts! It is a project I have been really excited about and am glad to get out into the world. Please reach out with any questions, ideas, or feedback :D . (9/9)