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The Traill island model for lemming dynamics, how it compares to Fennoscandian vole dynamics models, and a proposed simplification

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBARRAQUAND, Frédéric
hal.structure.identifierThe Arctic University of Norway [Tromsø, Norway] [UiT]
dc.contributor.authorHENDEN, John-André
hal.structure.identifierLaboratoire Chrono-environnement (UMR 6249) [LCE]
dc.contributor.authorGILG, Olivier
hal.structure.identifierThe Arctic University of Norway [Tromsø, Norway] [UiT]
dc.contributor.authorIMS, Rolf A
hal.structure.identifierThe Arctic University of Norway [Tromsø, Norway] [UiT]
dc.contributor.authorYOCCOZ, Nigel G
dc.date.accessioned2024-04-04T02:38:08Z
dc.date.available2024-04-04T02:38:08Z
dc.date.created2022-05-19
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190847
dc.description.abstractEnThe Traill island model of Gilg et al. (2003) is a landmark attempt at mechanistic modelling of the cyclic population dynamics of rodents, focusing on a high Arctic community. It models the dynamics of one prey, the collared lemming, and four predators : the stoat, the Arctic fox, the long-tailed skua and the snowy owl. In the present short note, we first summarize how the model works in light of theory on seasonally forced predator-prey systems, with a focus on the temporal dynamics of predation rates. We show notably how the impact of generalist predation, which is able here to initiate population declines, differs slightly from that of generalist predation in other mechanistic models of rodent-mustelid interactions such as Turchin & Hanski (1997). We then provide a low-dimensional approximation with a single generalist predator compartment that mimics the essential features of the Traill island model: cycle periodicity, amplitude, shape, as well as generalist-induced declines. This simpler model should be broadly applicable to model other lemming populations that predominantly grow under the snow during the winter period. Matlab computer codes for Gilg et al. (2003), its two-dimensional approximation, as well as alternative lemming population dynamics models are provided.
dc.language.isoen
dc.title.enThe Traill island model for lemming dynamics, how it compares to Fennoscandian vole dynamics models, and a proposed simplification
dc.typeDocument de travail - Pré-publication
dc.subject.halSciences de l'environnement/Biodiversité et Ecologie
dc.subject.halSciences du Vivant [q-bio]/Biodiversité/Evolution [q-bio.PE]
dc.identifier.arxiv2205.09441
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-03871605
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03871605v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BARRAQUAND,%20Fr%C3%A9d%C3%A9ric&HENDEN,%20John-Andr%C3%A9&GILG,%20Olivier&IMS,%20Rolf%20A&YOCCOZ,%20Nigel%20G&rft.genre=preprint


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