Låstad, Silja Borring and Härter, Jan ORCID: https://orcid.org/0000-0002-8617-3847 (2022) The geometry of evolved community matrix spectra. Scientific Reports, 12 (1). DOI https://doi.org/10.1038/s41598-022-17379-6.

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Abstract

Random matrix theory has been applied to food web stability for decades, implying elliptical eigenvalue spectra and that large food webs should be unstable. Here we allow feasible food webs to self-assemble within an evolutionary process, using simple Lotka–Volterra equations and several elementary interaction types. We show that, as complex food webs evolve under 105 invasion attempts, the community matrix spectra become bi-modal, rather than falling onto elliptical geometries. Our results raise questions as to the applicability of random matrix theory to the analysis of food web steady states.

Document Type:	Article
Programme Area:	PA2
Research affiliation:	Integrated Modelling > Complexity and Climate
Refereed:	Yes
Open Access Journal?:	Yes
DOI:	https://doi.org/10.1038/s41598-022-17379-6
ISSN:	2045-2322
Date Deposited:	01 Nov 2022 14:16
Last Modified:	01 Nov 2022 14:16
URI:	http://cris.leibniz-zmt.de/id/eprint/5036

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