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The geometry of evolved community matrix spectra

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...

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Autores principales: Låstad, Silja Borring, Haerter, Jan O.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9530164/
https://www.ncbi.nlm.nih.gov/pubmed/36038623
http://dx.doi.org/10.1038/s41598-022-17379-6
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author Låstad, Silja Borring
Haerter, Jan O.
author_facet Låstad, Silja Borring
Haerter, Jan O.
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description 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 [Formula: see text] 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.
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spelling pubmed-95301642022-10-05 The geometry of evolved community matrix spectra Låstad, Silja Borring Haerter, Jan O. Sci Rep Article 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 [Formula: see text] 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. Nature Publishing Group UK 2022-08-29 /pmc/articles/PMC9530164/ /pubmed/36038623 http://dx.doi.org/10.1038/s41598-022-17379-6 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Låstad, Silja Borring
Haerter, Jan O.
The geometry of evolved community matrix spectra
title The geometry of evolved community matrix spectra
title_full The geometry of evolved community matrix spectra
title_fullStr The geometry of evolved community matrix spectra
title_full_unstemmed The geometry of evolved community matrix spectra
title_short The geometry of evolved community matrix spectra
title_sort geometry of evolved community matrix spectra
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9530164/
https://www.ncbi.nlm.nih.gov/pubmed/36038623
http://dx.doi.org/10.1038/s41598-022-17379-6
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