Rigorous conditions for food-web intervality in high-dimensional trophic niche spaces

Åke Brännström, Linus Carlsson, Axel G. Rossberg

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Food webs represent trophic (feeding) interactions in ecosystems. Since the late 1970s, it has been recognized that food-webs have a surprisingly close relationship to interval graphs. One interpretation of food-web intervality is that trophic niche space is low-dimensional, meaning that the trophic character of a species can be expressed by a single or at most a few quantitative traits. In a companion paper we demonstrated, by simulating a minimal food-web model, that food webs are also expected to be interval when niche-space is high-dimensional. Here we characterize the fundamental mechanisms underlying this phenomenon by proving a set of rigorous conditions for food-web intervality in high-dimensional niche spaces. Our results apply to a large class of food-web models, including the special case previously studied numerically.

Original languageEnglish
Pages (from-to)575-592
Number of pages18
JournalJournal of Mathematical Biology
Volume63
Issue number3
DOIs
Publication statusPublished - Sep 2011

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Food Web
Food Chain
Niche
food webs
niches
High-dimensional
Interval Graphs
quantitative traits
Ecosystem
Ecosystems
Interval
ecosystems
Interaction
Model

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Brännström, Åke ; Carlsson, Linus ; Rossberg, Axel G. / Rigorous conditions for food-web intervality in high-dimensional trophic niche spaces. In: Journal of Mathematical Biology. 2011 ; Vol. 63, No. 3. pp. 575-592.
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Rigorous conditions for food-web intervality in high-dimensional trophic niche spaces. / Brännström, Åke ; Carlsson, Linus; Rossberg, Axel G.

In: Journal of Mathematical Biology, Vol. 63, No. 3, 09.2011, p. 575-592.

Research output: Contribution to journalArticle

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