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Weak trophic interactions and the balance of nature
Ecological models show that complexity usually destabilizes food webs,, predicting that food webs should not amass the large numbers of interacting species that are in fact found in nature. Here,Expand
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Thresholds and the resilience of Caribbean coral reefs
The deteriorating health of the world’s coral reefs threatens global biodiversity, ecosystem function, and the livelihoods of millions of people living in tropical coastal regions. Reefs in theExpand
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Complex interactions between dispersal and dynamics: Lessons from coupled logistic equations
A study of one of the simplest systems incorporating both dispersal and local dynamics, coupling two discrete time logistic equations, demonstrates several surprising features. Passive dispersal canExpand
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The spatial spread of invasions: new developments in theory and evidence
We review and synthesize recent developments in the study of the spread of invasive species, emphasizing both empirical and theoretical approaches. Recent theoretical work has shown that invasiveExpand
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Approaching a state shift in Earth’s biosphere
Localized ecological systems are known to shift abruptly and irreversibly from one state to another when they are forced across critical thresholds. Here we review evidence that the global ecosystemExpand
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Ecological and evolutionary insights from species invasions.
Species invasions provide numerous unplanned and frequently, but imperfectly, replicated experiments that can be used to better understand the natural world. Classic studies by Darwin, Grinnell,Expand
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Allee effects in biological invasions
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Can spatial variation alone lead to selection for dispersal
Abstract The question of selection on dispersal rates in a spatially varying, temporally constant environment is studied using an evolutionarily stable strategy approach. Dispersal is modelled asExpand
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Re–evaluating the omnivory–stability relationship in food webs
Under equilibrium conditions, previous theory has shown that the presence of omnivory destabilizes food webs. Correspondingly, omnivory ought to be rare in real food webs. Although, early food webExpand
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Population models for marine reserve design: A retrospective and prospective synthesis
We synthesize results from existing models of marine reserves to identify key theoretical issues that appear to be well understood, as well as issues in need of further exploration. Models of marineExpand
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