Abstract
When an ecological food web is described by an acyclic directed graph, the trophic level of a species of plant or animal may be described by the length of the shortest (or the longest) food chain from the species to a green plant or to a top predator. Here we analyze the number of vertices in different levels in a stochastic model of acyclic directed graphs called the cascade model. This model describes several features of real food webs. For an acyclic directed graph
Citation
Tomasz Luczak. Joel E. Cohen. "Stratigraphy of a Random Acyclic Directed Graph: The Size of Trophic Levels in the Cascade Model." Ann. Appl. Probab. 3 (2) 403 - 420, May, 1993. https://doi.org/10.1214/aoap/1177005431
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