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Rigorous conditions...
Rigorous conditions for food-web intervality in high-dimensional trophic niche spaces
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- Brännström, Åke, 1975- (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Evolution and Ecology Program, International Institute for Applied Systems Analysis (IIASA), Schlossplatz 1, 2361 Laxenburg, Austria
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- Carlsson, Linus (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Rossberg, Axel (författare)
- School of Biological Sciences, Queen’s University Belfast, Belfast, BT9 7BL UK
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(creator_code:org_t)
- 2010-11-16
- 2011
- Engelska.
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Ingår i: Journal of Mathematical Biology. - : Springerlink. - 0303-6812 .- 1432-1416. ; 63:3, s. 575-592
- Relaterad länk:
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http://pure.iiasa.ac...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Food web
- Intervality
- Ultrametric
- Consecutive ones property
- COP
- Ornstein–Uhlenbeck process
- Branching process
- Ecological model
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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