Summary
In this paper the tesselation of territories is discussed. When a mass of animals with teritoriality is introduced at random simultaneously into a finite two-dimensional (2D) region, territories are gradually formed and finally settle to a steady state. A model calculation for this process is carried out, where a Voronoi polygon is assumed as a territory. Comparisons are made between the model calculation and Barlow's observation on an artificial population of mouthbreeder fish. Differences between 1D and 2D case are also discussed.
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Hasegawa, M., Tanemura, M. On the pattern of space division by territories. Ann Inst Stat Math 28, 509–519 (1976). https://doi.org/10.1007/BF02504768
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DOI: https://doi.org/10.1007/BF02504768