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

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics
  • Modelling and Simulation

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