title: Some properties of the speciation model for food-web structure-mechanisms for degree distributions and intervality.
abstract: We present a mathematical analysis of the speciation model for food-web structure, which had in previous work been shown to yield a good description of empirical data of food-web topology. The degree distributions of the network are derived. Properties of the speciation model are compared to those of other models that successfully describe empirical data. It is argued that the speciation model unifies the underlying ideas of previous theories. In particular, it offers a mechanistic explanation for the success of the niche model of Williams and Martinez and the frequent observation of intervality in empirical food webs.
authors.affiliation: Yokohama National University, Graduate School of Environment and Information Sciences, Yokohama, Kanagawa 240-8501, Japan. rossberg@ynu.ac.jp
authors.forename: A G
authors.initials: AG
authors.lastname: Rossberg
authors.forename: H
authors.initials: H
authors.lastname: Matsuda
authors.forename: T
authors.initials: T
authors.lastname: Amemiya
authors.forename: K
authors.initials: K
authors.lastname: Itoh
mesh_terms: D000818:Animals; D005075:Biological Evolution; D020387:Food Chain; D049810:Genetic Speciation; D008954:Models, Biological; D015233:Models, Statistical; D011157:Population Dynamics; D011235:Predatory Behavior