IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v313y2015icp237-250.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380015002963
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2015.06.040?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Heinle, A. & Slawig, T., 2013. "Internal dynamics of NPZD type ecosystem models," Ecological Modelling, Elsevier, vol. 254(C), pages 33-42.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jeong, Yong Dam & Kim, Sangil & Jung, Il Hyo & Cho, Giphil, 2021. "Optimal harvesting strategy for hairtail, Trichiurus Lepturus, in Korea Sea using discrete-time age-structured model," Applied Mathematics and Computation, Elsevier, vol. 392(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ge, Qiao & Menendez, Monica, 2017. "Extending Morris method for qualitative global sensitivity analysis of models with dependent inputs," Reliability Engineering and System Safety, Elsevier, vol. 162(C), pages 28-39.
    2. Xing, Lei & Zhang, Chongliang & Chen, Yong & Shin, Yunne-Jai & Verley, Philippe & Yu, Haiqing & Ren, Yiping, 2017. "An individual-based model for simulating the ecosystem dynamics of Jiaozhou Bay, China," Ecological Modelling, Elsevier, vol. 360(C), pages 120-131.
    3. Yu, Shiyang & Song, Da & Fan, Meng & Xie, Congbo, 2023. "Effects of temperature and salinity on growth of Aurelia aurita," Ecological Modelling, Elsevier, vol. 476(C).
    4. Priyadarshi, Anupam & Chandra, Ram & Kishi, Michio J. & Smith, S.Lan & Yamazaki, Hidekatsu, 2022. "Understanding plankton ecosystem dynamics under realistic micro-scale variability requires modeling at least three trophic levels," Ecological Modelling, Elsevier, vol. 467(C).
    5. Guo, Qing & Wang, Yi & Dai, Chuanjun & Wang, Lijun & Liu, He & Li, Jianbing & Tiwari, Pankaj Kumar & Zhao, Min, 2023. "Dynamics of a stochastic nutrient–plankton model with regime switching," Ecological Modelling, Elsevier, vol. 477(C).
    6. van Leeuwen, Edwin & Lacerot, Gissell & van Nes, Egbert H. & Hemerik, Lia & Scheffer, Marten, 2007. "Reduced top–down control of phytoplankton in warmer climates can be explained by continuous fish reproduction," Ecological Modelling, Elsevier, vol. 206(1), pages 205-212.
    7. Maar, Marie & Butenschön, Momme & Daewel, Ute & Eggert, Anja & Fan, Wei & Hjøllo, Solfrid S. & Hufnagl, Marc & Huret, Martin & Ji, Rubao & Lacroix, Geneviève & Peck, Myron A. & Radtke, Hagen & Sailley, 2018. "Responses of summer phytoplankton biomass to changes in top-down forcing: Insights from comparative modelling," Ecological Modelling, Elsevier, vol. 376(C), pages 54-67.
    8. Wenfei Luan & Ling Lu & Xin Li & Chunfeng Ma, 2017. "Weight Determination of Sustainable Development Indicators Using a Global Sensitivity Analysis Method," Sustainability, MDPI, vol. 9(2), pages 1-13, February.
    9. Libralato, Simone & Solidoro, Cosimo, 2009. "Bridging biogeochemical and food web models for an End-to-End representation of marine ecosystem dynamics: The Venice lagoon case study," Ecological Modelling, Elsevier, vol. 220(21), pages 2960-2971.
    10. Benoit, David M. & Giacomini, Henrique C. & Chu, Cindy & Jackson, Donald A., 2021. "Identifying influential parameters of a multi-species fish size spectrum model for a northern temperate lake through sensitivity analyses," Ecological Modelling, Elsevier, vol. 460(C).
    11. Bracis, Chloe & Lehuta, Sigrid & Savina-Rolland, Marie & Travers-Trolet, Morgane & Girardin, Raphaël, 2020. "Improving confidence in complex ecosystem models: The sensitivity analysis of an Atlantis ecosystem model," Ecological Modelling, Elsevier, vol. 431(C).
    12. Mata Almonacid, Pablo & Medel, Carolina, 2022. "A structure-preserving model for the dynamics of estuarine ecosystems and its application in western Patagonia fjords," Ecological Modelling, Elsevier, vol. 466(C).
    13. Travers-Trolet, Morgane & Coppin, Franck & Cresson, Pierre & Cugier, Philippe & Oliveros-Ramos, Ricardo & Verley, Philippe, 2019. "Emergence of negative trophic level-size relationships from a size-based, individual-based multispecies fish model," Ecological Modelling, Elsevier, vol. 410(C), pages 1-1.
    14. Choi, Jang-Geun & Lippmann, Thomas C., 2024. "Biogeochemical dynamics underlying equilibrium between nitrogen fixation and denitrification and its impact on a coastal marine ecosystem model," Ecological Modelling, Elsevier, vol. 494(C).
    15. Duquesne, François & Vallaeys, Valentin & Vidaurre, Prem Jai & Hanert, Emmanuel, 2021. "A coupled ecohydrodynamic model to predict algal blooms in Lake Titicaca," Ecological Modelling, Elsevier, vol. 440(C).
    16. Fu, Caihong & Travers-Trolet, Morgane & Velez, Laure & Grüss, Arnaud & Bundy, Alida & Shannon, Lynne J. & Fulton, Elizabeth A. & Akoglu, Ekin & Houle, Jennifer E. & Coll, Marta & Verley, Philippe & He, 2018. "Risky business: The combined effects of fishing and changes in primary productivity on fish communities," Ecological Modelling, Elsevier, vol. 368(C), pages 265-276.
    17. Lopez de Gamiz-Zearra, A. & Hansen, C. & Corrales, X. & Andonegi, E., 2024. "Increasing the reliability of the Bay of Biscay Atlantis model: A sensitivity analysis to parameters perturbations using a Morris screening approach," Ecological Modelling, Elsevier, vol. 488(C).
    18. Choi, Jang-Geun & Lippmann, Thomas C. & Harvey, Elizabeth L., 2023. "Analytical population dynamics underlying harmful algal blooms triggered by prey avoidance," Ecological Modelling, Elsevier, vol. 481(C).
    19. Choirul Basir & Asep Kuswandi Supriatna & Sukono & Jumadil Saputra, 2023. "Prey–Predator Mathematics Model for Fisheries Insurance Calculations in the Search of Optimal Strategies for Inland Fisheries Management: A Systematic Literature Review," Sustainability, MDPI, vol. 15(16), pages 1-14, August.
    20. Sahoo, Banshidhar & Poria, Swarup, 2019. "Dynamics of predator–prey system with fading memory," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 319-333.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecomod:v:313:y:2015:i:c:p:237-250. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/ecological-modelling .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.