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Measuring Resilience in Stochastic Systems
Abstract
This paper develops mathematical and statistical techniques for measuring the resilience of inherently stochastic ecological systems. To correspond to the deterministic idea of resilience measured by the return time to equilibrium following perturbation, resilience in stochastic systems is defined as the variability in population densities relative to environmentally driven variability in population growth rates. Stochastic resilience defined in this way is calculated from a community matrix describing the average interaction strengths within and among species. The procedure to calculate stochastic resilience is demonstrated on simulated data sets consisting of time series of population densities. The simplicity of the procedure makes it a potential tool for application to a wide range of ecological communities.
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Citations
Cites
Perturbation Experiments in Community Ecology: Theory and Practice
Bender, E. A., Case, T. J., & Gilpin, M. E. (1984) · Ecology · doi:10.2307/1939452 · Cited by 1,245
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Ecological Resilience—In Theory and Application
Gunderson, L. H. (2000) · Annual Review of Ecology and Systematics · doi:10.1146/annurev.ecolsys.31.1.425 · Cited by 2,751
Anticipating Critical Transitions
Scheffer, M., Carpenter, S. R., Lenton, T. M., Bascompte, J., Brock, W., Dakos, V., van de Koppel, J., van de Leemput, I. A., Levin, S. A., van Nes, E. H., et al. (2012) · Science · doi:10.1126/science.1225244 · Cited by 2,208
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Spatial correlation as leading indicator of catastrophic shifts
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Metadata
- Authors
- Ives, A. R.
- Venue
- Ecological Monographs
- Publisher
- Wiley
- Published
- 1995-05
- Volume
- 65
- Issue
- 2
- Pages
- 217-233
- ISSN
- 0012-9615 (ISSN-L)
- 1557-7015
- OpenAlex
- W2168467282
- Cited by
- 296
- References
- 1
- FWCI
- 7.41
- Type
- journal article
- Language
- en
- Open access
- closed
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- Ives, A. R. (1995). Measuring Resilience in Stochastic Systems. Ecological Monographs. https://doi.org/10.2307/2937138
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.