TY - JOUR T1 - Resilience, Invariability, and Ecological Stability across Levels of Organization JF - bioRxiv DO - 10.1101/085852 SP - 085852 AU - Bart Haegeman AU - Jean-François Arnoldi AU - Shaopeng Wang AU - Claire de Mazancourt AU - José M. Montoya AU - Michel Loreau Y1 - 2016/01/01 UR - http://biorxiv.org/content/early/2016/11/11/085852.abstract N2 - 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. ER -