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JOURNAL OF PLANKTON RESEARCH | VOLUME 14 | NUMBER 12 | PAGES 1697-1721 | 1992
© Oxford University Press

research-article

Selection and control of Deborah numbers in plankton ecology

Ian R. Jenkinson and Tim Wyatt1

Agence de Conseil et de Recherche Océanographiques Lavergne, F-19320 La Roche Canillac, France 1Consejo Superior de Investigaciones Cientificas, Instituto de Investigacions Mariñas Eduardo Cabello 6, 36208-Vigo, Spain

Received on August 1, 1991; accepted on August 10, 1992 The Deborah number (De) is widely used to characterize processes taking place in deforming continua. De=(the time scale of a process)/(the time scale of deformation). When De >>l the process thus takes place in a functionally fluid medium, but when De <<1 the regime is functionally solid. De has been used to refine concepts in three pelagic processes. Dispersion of dividing cells may be characterized by De, and may be regulated by means of secretions. Dispersion of microzones by diffusion and shear is characterized. The characteristic time of microzones is shown to depend on the concentration. Because microzones smear Out along the shear, to prevent nutrient-seekers and predators using them as scent trails, organisms may convolute their microzones by swimming, particularly across the shear. In a predator-prey model, it has been shown that when De, (shear rate) (time taken to swim radius of detection sphere), >2.6, not all the perceived prey is accessible. More economical hunting strategies and those allowing access to more of the perceived prey, require better sensory and navigational abilities. When De >2.6, the predator will perceive a greater flux of accessible prey when it swims across the shear than when it swims in the other two dimensions. De may help to understand many more biological processes in deforming media.


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