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A graphical method for analysing the dynamics of three-species systems
Authors:Bryan Shorrocks  Calvin Dytham  Jack Lennon
Institution:(1) Department of Biology, University of Leeds, Leeds, LS29JT, UK Fax: 0113 2332909; e-mail: pab6bs@leeds.ac.uk, GB;(2) Department of Biology, University of York, PO Box 373, York, YO1 5YW, UK, GB
Abstract:We report a series of experiments with three competing species and a novel graphical analysis that explores the dynamics of this simple multi-species system. The three competing species (Drosophila hydei, D. immigrans and D. virilis) were maintained in five very large cages, on a natural fruit resource. The analytic method involved constructing a “dynamic surface”, by interpolation, from the population trajectories. Within the dynamic surface constructed from the five experiments a small “equilibrium area” (an area of point vectors) could be identified. The implications of both the method and the results are discussed. Received: 22 July 1996 / Accepted: 29 April 1997
Keywords:Competition  Multi-species  Dynamics  Drosophila  Triangular co-ordinates
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