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Mathematical modelling of the seasonal variability of plankton and forage fish in the Gulf of Kachchh

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  • Kumar, Vijay
  • Kumari, Beena

Abstract

Seasonal variability of plankton and small fish in the coastal water of west coast of India is studied with a non-linear mathematical model (NPZF model) having four compartments viz., nutrient, phytoplankton, zooplankton and forage fish. The inclusion of an additional compartment of forage fish increases the complexity of the earlier proposed NPZ model as it introduces additional seven unknown parameters, which need to be specified for performing numerical simulations. The key problem is therefore to estimate the range of values of these parameters in the dynamical system. With the help of local stability analysis, sensitivity analysis and numerical simulations, these parameters have been estimated. As a case study for the evaluation of the model, simulations are performed to explain the aquatic ecology of Gulf of Kachchh (22°20′ N–23°40′ N, 68°20′ E–70°40′ E), an inlet on west coast of India in the Arabian Sea. An important conclusion of this study is that by using the prescribed parameters as estimated from the sensitivity analysis, the NPZF model reproduces some salient features of the Gulf of Kachchh, especially the bimodal oscillations observed in the plankton and forage fish. The 4-compartment model could therefore serve as an ecological model of the Gulf of Kuchchh.

Suggested Citation

  • Kumar, Vijay & Kumari, Beena, 2015. "Mathematical modelling of the seasonal variability of plankton and forage fish in the Gulf of Kachchh," Ecological Modelling, Elsevier, vol. 313(C), pages 237-250.
    • Handle: RePEc:eee:ecomod:v:313:y:2015:i:c:p:237-250
    DOI: 10.1016/j.ecolmodel.2015.06.040
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    References listed on IDEAS

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    1. Morris, David J. & Speirs, Douglas C. & Cameron, Angus I. & Heath, Michael R., 2014. "Global sensitivity analysis of an end-to-end marine ecosystem model of the North Sea: Factors affecting the biomass of fish and benthos," Ecological Modelling, Elsevier, vol. 273(C), pages 251-263.
    2. Ghosh, Bapan & Kar, T.K., 2014. "Sustainable use of prey species in a prey–predator system: Jointly determined ecological thresholds and economic trade-offs," Ecological Modelling, Elsevier, vol. 272(C), pages 49-58.
    3. Heinle, A. & Slawig, T., 2013. "Internal dynamics of NPZD type ecosystem models," Ecological Modelling, Elsevier, vol. 254(C), pages 33-42.
    4. Turner, Evan L. & Bruesewitz, Denise A. & Mooney, Rae F. & Montagna, Paul A. & McClelland, James W. & Sadovski, Alexey & Buskey, Edward J., 2014. "Comparing performance of five nutrient phytoplankton zooplankton (NPZ) models in coastal lagoons," Ecological Modelling, Elsevier, vol. 277(C), pages 13-26.
    5. Naithani, Jaya & Darchambeau, François & Deleersnijder, Eric & Descy, Jean-Pierre & Wolanski, Eric, 2007. "Study of the nutrient and plankton dynamics in Lake Tanganyika using a reduced-gravity model," Ecological Modelling, Elsevier, vol. 200(1), pages 225-233.
    6. Travers, M. & Shin, Y.-J. & Jennings, S. & Machu, E. & Huggett, J.A. & Field, J.G. & Cury, P.M., 2009. "Two-way coupling versus one-way forcing of plankton and fish models to predict ecosystem changes in the Benguela," Ecological Modelling, Elsevier, vol. 220(21), pages 3089-3099.
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