ArticleNature communications2021
Fluctuation spectra of large random dynamical systems reveal hidden structure in ecological networks.
Article in Nature communications, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Stability of Ecological Systems: A Theoretical Review.Physics reports · 2024Article
- Neuronal network complexity can strengthens activity robustness.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- Delay effects on the stability of large ecosystems.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
- Metagenomic insights into the relationship between gut microbiota and residual feed intake of small-sized meat ducks.Frontiers in microbiology · 2022Article
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4 authors.
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Abstract
Understanding the relationship between complexity and stability in large dynamical systems-such as ecosystems-remains a key open question in complexity theory which has inspired a rich body of work developed over more than fifty years. The vast majority of this theory addresses asymptotic linear stability around equilibrium points, but the idea of 'stability' in fact has other uses in the empirical ecological literature. The important notion of 'temporal stability' describes the character of fluctuations in population dynamics, driven by intrinsic or extrinsic noise. Here we apply tools from random matrix theory to the problem of temporal stability, deriving analytical predictions for the fluctuation spectra of complex ecological networks. We show that different network structures leave distinct signatures in the spectrum of fluctuations, and demonstrate the application of our theory to the analysis of ecological time-series data of plankton abundances.
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