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Patchiness in primary and secondary production in the Southern Bight: a mathematical theory
Dubois, D.M.; Closset, P.L. (1976). Patchiness in primary and secondary production in the Southern Bight: a mathematical theory, in: Persoone, G. et al. (Ed.) Proceedings of the 10th European Symposium on Marine Biology, Ostend, Belgium, Sept. 17-23, 1975: 2. Population dynamics of marine organisms in relation with nutrient cycling in shallow waters. pp. 211-229
In: Persoone, G.; Jaspers, E. (Ed.) (1976). Proceedings of the 10th European Symposium on Marine Biology, Ostend, Belgium, Sept. 17-23, 1975: 2. Population dynamics of marine organisms in relation with nutrient cycling in shallow waters. IZWO/Universa Press: Wetteren. ISBN 90-6281-002-0. 712 pp., more

Available in  Authors 
    VLIZ: Proceedings [4854]
Document type: Conference paper

Keyword
    Marine

Authors  Top 
  • Dubois, D.M.
  • Closset, P.L.

Abstract
    Plankton populations display a time-dependent horizontal structuration: the patchiness effect. A mathematical model is proposed to explain the mechanism of the so-called: turbulent patchiness, shear effect patchiness, and eddy diffusity patchiness. Numerical simulations of this model in the southern North Sea show: the creation, the propagation, and the annihilation of the so-called plankton waves displaying disc and ring patterns. These ecological waves are generated by local advective currents fluctuations. Due to the non-linear properties of plankton prey-predator interactions (grazing-rate equation) these fluctuations are then amplified leading to the emergence of new plankton waves propagating with a velocity in the range 1-10 km/day. Temporal simulations of the model with different grazing rate equations exhibit: stable or unstable non-zero stationary state, and stable or unstable limit cycle.

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