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

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• 作者：1. Department of Mathematics and Mathematical Statistics ; Ume? University ; 90187 Ume? ; Sweden2. School of Biological Sciences ; Queen’s University Belfast ; Belfast ; BT9 7BL UK3. Evolution and Ecology Program ; International Institute for Applied Systems Analysis (IIASA) ; Schlossplatz 1 ; 2361 Laxenburg ; Austria
• 关键词：Food web – Intervality – Ultrametric – Consecutive ones property – COP – Ornstein–Uhlenbeck process – Branching process – Ecological model
• 刊名：Journal of Mathematical Biology
• 出版年：2011
• 出版时间：September 2011
• 年：2011
• 卷：63
• 期：3
• 页码：575-592
• 全文大小：296.6 KB
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• 作者单位：http://www.springerlink.com/content/c214x7u315110222/
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematical Biology
  Applications of Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1416

文摘

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.