The geometry of evolved community matrix spectra
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The geometry of evolved community matrix spectra. / Lastad, Silja Borring; Haerter, Jan O.
In: Scientific Reports, Vol. 12, No. 1, 14668, 29.08.2022.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - The geometry of evolved community matrix spectra
AU - Lastad, Silja Borring
AU - Haerter, Jan O.
PY - 2022/8/29
Y1 - 2022/8/29
N2 - 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 10(5) 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.
AB - 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 10(5) 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.
KW - FOOD WEBS
KW - MODEL-ECOSYSTEMS
KW - BIODIVERSITY
KW - STABILITY
KW - CONNECTANCE
KW - INCREASES
U2 - 10.1038/s41598-022-17379-6
DO - 10.1038/s41598-022-17379-6
M3 - Journal article
C2 - 36038623
VL - 12
JO - Scientific Reports
JF - Scientific Reports
SN - 2045-2322
IS - 1
M1 - 14668
ER -
ID: 319155183