caa a22 4500 445329963 CHVBK 20180317142734.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s00285-010-0383-3 doi (NATIONALLICENCE)springer-10.1007/s00285-010-0383-3 Rigorous conditions for food-web intervality in high-dimensional trophic niche spaces [Elektronische Daten] [Åke Brännström, Linus Carlsson, Axel Rossberg] 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. Springer-Verlag, 2010 Food web nationallicence Intervality nationallicence Ultrametric nationallicence Consecutive ones property nationallicence COP nationallicence Ornstein-Uhlenbeck process nationallicence Branching process nationallicence Ecological model nationallicence Brännström Åke Department of Mathematics and Mathematical Statistics, Umeå University, 90187, Umeå, Sweden aut Carlsson Linus Department of Mathematics and Mathematical Statistics, Umeå University, 90187, Umeå, Sweden aut Rossberg Axel School of Biological Sciences, Queen's University Belfast, BT9 7BL, Belfast, UK aut Journal of Mathematical Biology Springer-Verlag 63/3(2011-09-01), 575-592 0303-6812 63:3<575 2011 63 285 https://doi.org/10.1007/s00285-010-0383-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0383-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Brännström Åke Department of Mathematics and Mathematical Statistics, Umeå University, 90187, Umeå, Sweden aut NATIONALLICENCE 700 1- Carlsson Linus Department of Mathematics and Mathematical Statistics, Umeå University, 90187, Umeå, Sweden aut NATIONALLICENCE 700 1- Rossberg Axel School of Biological Sciences, Queen's University Belfast, BT9 7BL, Belfast, UK aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 63/3(2011-09-01), 575-592 0303-6812 63:3<575 2011 63 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer