“…For example, whereas the linearized dynamics can be used to compute a recovery rate under equilibrium (Arnoldi et al ., 2018, Medeiros et al ., 2021, Strogatz, 2018), we show that they can be used to derive the time-varying expected sensitivity of different species to perturbations under non-equilibrium dynamics. Similarly to previous studies, our results confirm the utility of tracking variances and covariances of perturbed abundances to anticipate changes in ecological communities (Baruah et al ., 2022, Chen et al ., 2019, Dakos, 2018). In addition, we use the leading eigenvector, which has been previously employed to decompose community responses into species responses to perturbations under equilibrium dynamics (Dakos, 2018, Ghadami et al ., 2020, Patterson et al ., 2021, Weinans et al ., 2019).…”