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A simple stochastic model for complex coextinctions in mutualistic networks: robustness decreases with connectance
Authors:Marcos Costa Vieira  Mário Almeida‐Neto
Affiliation:1. Programa de Pós‐Gradua??o em Ecologia e Evolu??o, Universidade Federal de Goiás, Goiania, Brazil;2. Departamento de Ecologia, Universidade Federal de Goiás, Goiania, Brazil
Abstract:Understanding and predicting species extinctions and coextinctions is a major goal of ecological research in the face of a biodiversity crisis. Typically, models based on network topology are used to simulate coextinctions in mutualistic networks. However, such topological models neglect two key biological features of species interactions: variation in the intrinsic dependence of species on the mutualism, and variation in the relative importance of each interacting partner. By incorporating both types of variation, we developed a stochastic coextinction model capable of simulating extinction cascades far more complex than those observed in previous topological models. Using a set of empirical mutualistic networks, we show that the traditional topological model may either underestimate or overestimate the number and likelihood of coextinctions, depending on the intrinsic dependence of species on the mutualism. More importantly, contrary to topological models, our stochastic model predicts extinction cascades to be more likely in highly connected mutualistic communities.
Keywords:Complexity‐stability  extinction cascades  horizontal cascades  seed dispersal  network disassembly  network robustness  pollination  simulation model  stochastic coextinction model  topological coextinction model
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