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Resilience, Invariability, and Ecological Stability across Levels of Organization

Bart Haegeman, Jean-François Arnoldi, Shaopeng Wang, Claire de Mazancourt, José M. Montoya, Michel Loreau
doi: https://doi.org/10.1101/085852
Bart Haegeman
1Centre for Biodiversity Theory and Modelling, Theoretical and Experimental Ecology Station, CNRS and Paul Sabatier University, Moulis, France
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Jean-François Arnoldi
1Centre for Biodiversity Theory and Modelling, Theoretical and Experimental Ecology Station, CNRS and Paul Sabatier University, Moulis, France
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Shaopeng Wang
1Centre for Biodiversity Theory and Modelling, Theoretical and Experimental Ecology Station, CNRS and Paul Sabatier University, Moulis, France
2German Centre for Integrative Biodiversity Research (iDiv) Halle-Jena-Leipzig, Leipzig, Germany
3Institute of Ecology, Friedrich Schiller University Jena, Jena, Germany
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Claire de Mazancourt
1Centre for Biodiversity Theory and Modelling, Theoretical and Experimental Ecology Station, CNRS and Paul Sabatier University, Moulis, France
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José M. Montoya
1Centre for Biodiversity Theory and Modelling, Theoretical and Experimental Ecology Station, CNRS and Paul Sabatier University, Moulis, France
4Ecological Networks and Global Change Group, Theoretical and Experimental Ecology Station, CNRS and Paul Sabatier University, Moulis, France
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Michel Loreau
1Centre for Biodiversity Theory and Modelling, Theoretical and Experimental Ecology Station, CNRS and Paul Sabatier University, Moulis, France
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Abstract

Ecological stability is a bewildering broad concept. The most common stability measures are asymptotic resilience, widely used in theoretical studies, and measures based on temporal variability, commonly used in empirical studies. We construct measures of invariability, defined as the inverse of variability, that can be directly compared with asymptotic resilience. We show that asymptotic resilience behaves like the invariability of the most variable species, which is often a rare species close to its extinction boundary. Therefore, asymptotic resilience displays complete loss of stability with changes in community composition. In contrast, mean population invariability and ecosystem invariability are insensitive to rare species and quantify stability consistently whether details of species composition are considered or not. Invariability provides a consistent framework to predict diversity-stability relationships that agree with empirical data at population and ecosystem levels. Our findings can enhance the dialogue between theoretical and empirical stability studies.

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Posted November 11, 2016.
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Resilience, Invariability, and Ecological Stability across Levels of Organization
Bart Haegeman, Jean-François Arnoldi, Shaopeng Wang, Claire de Mazancourt, José M. Montoya, Michel Loreau
bioRxiv 085852; doi: https://doi.org/10.1101/085852
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Resilience, Invariability, and Ecological Stability across Levels of Organization
Bart Haegeman, Jean-François Arnoldi, Shaopeng Wang, Claire de Mazancourt, José M. Montoya, Michel Loreau
bioRxiv 085852; doi: https://doi.org/10.1101/085852

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