Journal
ECOLOGY
Volume 90, Issue 10, Pages 2683-2688Publisher
ECOLOGICAL SOC AMER
DOI: 10.1890/08-2014.1
Keywords
multivariate time series; resilience; stability; transient dynamics
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Funding
- U. S. National Science Foundation [DEB-0515639]
- Division Of Environmental Biology
- Direct For Biological Sciences [0816514] Funding Source: National Science Foundation
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By definition, ecological systems at a stable equilibrium eventually return to the equilibrium point following a small perturbation. In the short term, however, perturbations can grow. Equilibria that exhibit transient growth following perturbation are said to be reactive. In this report, we present a statistical method for detecting reactivity from multivariate time series. The test is simple and computationally tractable, and it can be applied to short time series. Its main limitation is that it is based on a model of population dynamics that is linear on a logarithmic scale. Our results suggest that the test is robust when the dynamics are nonlinear on the log scale but that it may incorrectly classify an equilibrium as reactive when the reactivity is close to zero.
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