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Dependence of fish school movement and plankton spatial distributions on the phytoplankton growth rate

Dependence of fish school movement and plankton spatial distributions on the phytoplankton growth rate
Dependence of fish school movement and plankton spatial distributions on the phytoplankton growth rate

In this paper we investigate the spontaneous emergence and the dynamics of patchiness in spatially distributed communities of plankton, which plays a key role in the matter rotation on earth. Patchiness is often supposed to be due to hydrodynamical factors (diffusion and advection). In contrast to this approach, we consider the formation of plankton patches as a result of interactions in the trophic chain nutrient - phytoplankton - zooplankton-fish. We present a mathematical model of such interactions, which combines a continuous description of the plankton spatio-temporal dynamics and a discrete description of the fish school movement. We show that the fish school can give rise to plankton patches. In turn, fish school walks are shown to depend on phytoplankton growth rate. We show also that the Hurst exponent characterizing the fish school movement in the diffusion approximation depends on phytoplankton growth rate.

Aquatic communities, Fish schools, Fractal trajectories, Plankton, Structure formation
0006-3029
352-359
Tikhonova, I.A.
577ccbcc-6643-4190-bb6d-19e13b44bcd1
Arino, O.
ce8591ff-c161-4232-bba0-a54d4496b06b
Ivanitskii, G.R.
54346da0-c61b-4fb7-97ea-a97206cfc5af
Malchow, H.
b9eb0321-0f39-4b03-beb5-b6329237877c
Medvinskii, A.B.
9dcd266c-5d35-4c74-84f9-d2212a96b4f4
Tikhonova, I.A.
577ccbcc-6643-4190-bb6d-19e13b44bcd1
Arino, O.
ce8591ff-c161-4232-bba0-a54d4496b06b
Ivanitskii, G.R.
54346da0-c61b-4fb7-97ea-a97206cfc5af
Malchow, H.
b9eb0321-0f39-4b03-beb5-b6329237877c
Medvinskii, A.B.
9dcd266c-5d35-4c74-84f9-d2212a96b4f4

Tikhonova, I.A., Arino, O., Ivanitskii, G.R., Malchow, H. and Medvinskii, A.B. (2000) Dependence of fish school movement and plankton spatial distributions on the phytoplankton growth rate. Biofizika, 45 (2), 352-359.

Record type: Article

Abstract

In this paper we investigate the spontaneous emergence and the dynamics of patchiness in spatially distributed communities of plankton, which plays a key role in the matter rotation on earth. Patchiness is often supposed to be due to hydrodynamical factors (diffusion and advection). In contrast to this approach, we consider the formation of plankton patches as a result of interactions in the trophic chain nutrient - phytoplankton - zooplankton-fish. We present a mathematical model of such interactions, which combines a continuous description of the plankton spatio-temporal dynamics and a discrete description of the fish school movement. We show that the fish school can give rise to plankton patches. In turn, fish school walks are shown to depend on phytoplankton growth rate. We show also that the Hurst exponent characterizing the fish school movement in the diffusion approximation depends on phytoplankton growth rate.

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More information

Published date: March 2000
Keywords: Aquatic communities, Fish schools, Fractal trajectories, Plankton, Structure formation

Identifiers

Local EPrints ID: 438240
URI: http://eprints.soton.ac.uk/id/eprint/438240
ISSN: 0006-3029
PURE UUID: a0dfe4ac-875d-434d-8fa8-1c9cffcdbebc
ORCID for I.A. Tikhonova: ORCID iD orcid.org/0000-0003-2723-0802

Catalogue record

Date deposited: 04 Mar 2020 17:31
Last modified: 08 Jan 2022 17:05

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Contributors

Author: I.A. Tikhonova ORCID iD
Author: O. Arino
Author: G.R. Ivanitskii
Author: H. Malchow
Author: A.B. Medvinskii

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