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The role of higher predation in plankton population models

The role of higher predation in plankton population models
The role of higher predation in plankton population models
Zooplankton mortality in plankton population models is often represented by the so-called closure term. Recently, much attention has been paid to the choice of functional form used for the closure term, primarily due to the influential paper by Steele and Henderson (J. Plankton Res., 14, 157–172, 1992). Here we reveal an inconsistency in the normalization of Steele and Henderson's models, and show that unforced short-term oscillations (limit cycles) can occur when a quadratic closure term is used. Furthermore, we contradict the hypothesis regarding the relationship between nutrient steady-state values and the choice of closure term: using the seven-component plankton model of Fasham (The Global Carbon Cycle, Heimann,M. (ed.), pp. 457–504, 1993) with four alternative closure terms, we find the nutrient value to depend more upon the choice of parameter values than on the choice of closure term. However, our results agree with and strengthen the general conclusion of Steele and Henderson's work: that the choice of closure term can strongly influence the dynamics of models.
PLANKTON, PREDATION, MORTALITY, MATHEMATICAL MODELS, POPULATION DYNAMICS
0142-7873
1085-1112
Edwards, A.M.
6cd96212-5c04-4635-8985-18258a2c1792
Yool, A.
882aeb0d-dda0-405e-844c-65b68cce5017
Edwards, A.M.
6cd96212-5c04-4635-8985-18258a2c1792
Yool, A.
882aeb0d-dda0-405e-844c-65b68cce5017

Edwards, A.M. and Yool, A. (2000) The role of higher predation in plankton population models. Journal of Plankton Research, 22 (6), 1085-1112.

Record type: Article

Abstract

Zooplankton mortality in plankton population models is often represented by the so-called closure term. Recently, much attention has been paid to the choice of functional form used for the closure term, primarily due to the influential paper by Steele and Henderson (J. Plankton Res., 14, 157–172, 1992). Here we reveal an inconsistency in the normalization of Steele and Henderson's models, and show that unforced short-term oscillations (limit cycles) can occur when a quadratic closure term is used. Furthermore, we contradict the hypothesis regarding the relationship between nutrient steady-state values and the choice of closure term: using the seven-component plankton model of Fasham (The Global Carbon Cycle, Heimann,M. (ed.), pp. 457–504, 1993) with four alternative closure terms, we find the nutrient value to depend more upon the choice of parameter values than on the choice of closure term. However, our results agree with and strengthen the general conclusion of Steele and Henderson's work: that the choice of closure term can strongly influence the dynamics of models.

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More information

Published date: 2000
Keywords: PLANKTON, PREDATION, MORTALITY, MATHEMATICAL MODELS, POPULATION DYNAMICS

Identifiers

Local EPrints ID: 8894
URI: https://eprints.soton.ac.uk/id/eprint/8894
ISSN: 0142-7873
PURE UUID: b3215be1-577b-45ba-81f2-b191a594ee6b

Catalogue record

Date deposited: 13 Sep 2004
Last modified: 17 Jul 2017 17:12

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