Rigorous conditions for food-web intervality in high-dimensional trophic niche spaces
2011 (English)In: Journal of Mathematical Biology, ISSN 0303-6812, E-ISSN 1432-1416, Vol. 63, no 3, 575-592 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
Springerlink , 2011. Vol. 63, no 3, 575-592 p.
Food web, Intervality, Ultrametric, Consecutive ones property, COP, Ornstein–Uhlenbeck process, Branching process, Ecological model
IdentifiersURN: urn:nbn:se:umu:diva-50108DOI: 10.1007/s00285-010-0383-3OAI: oai:DiVA.org:umu-50108DiVA: diva2:459594