IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v220y2009i3p343-350.html
   My bibliography  Save this article

Data-directed modelling of Daphnia dynamics in a long-term micro-ecosystem experiment

Author

Listed:
  • Grasman, Johan
  • van Nes, Egbert H.
  • Kersting, Kees

Abstract

The micro-ecosystem under consideration consists of three compartments forming a closed chain in which water circulates. Three trophic levels are represented in different compartments: autotrophs (algae, mainly Chlorella vulgaris), herbivores (Daphnia magna) and microbial decomposers. From a 20 years experiment with this system, data has been selected for this study. The dynamics of algae and Daphnia magna in only one of the compartments were modeled by different systems of differential and difference equations. We describe the successive steps in the process of model development, and the fitting of parameters using a Nelder-Mead simplex calibration method. Identification problems were overcome by taking values for physiological parameters in agreement with the literature. It turned out that a logistic type of model gives the best result for the structured Daphnia population because of the set up of the experiment: algae grow and reproduce in the upstream compartment. For this reason well-known plant–herbivore models did not comply with the data. The results of the parameter estimation procedure are discussed. The estimated grazing rate by Daphnia was smaller than expected. Possibly the Daphnia fed also on detritus and decomposing algae which were not measured.

Suggested Citation

  • Grasman, Johan & van Nes, Egbert H. & Kersting, Kees, 2009. "Data-directed modelling of Daphnia dynamics in a long-term micro-ecosystem experiment," Ecological Modelling, Elsevier, vol. 220(3), pages 343-350.
    • Handle: RePEc:eee:ecomod:v:220:y:2009:i:3:p:343-350
    DOI: 10.1016/j.ecolmodel.2008.10.010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S030438000800495X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2008.10.010?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. Kooi, B.W. & Bontje, D. & van Voorn, G.A.K. & Kooijman, S.A.L.M., 2008. "Sublethal toxic effects in a simple aquatic food chain," Ecological Modelling, Elsevier, vol. 212(3), pages 304-318.
    2. Elisa Benincà & Jef Huisman & Reinhard Heerkloss & Klaus D. Jöhnk & Pedro Branco & Egbert H. Van Nes & Marten Scheffer & Stephen P. Ellner, 2008. "Chaos in a long-term experiment with a plankton community," Nature, Nature, vol. 451(7180), pages 822-825, February.
    3. Chih-hao Hsieh & Sarah M. Glaser & Andrew J. Lucas & George Sugihara, 2005. "Distinguishing random environmental fluctuations from ecological catastrophes for the North Pacific Ocean," Nature, Nature, vol. 435(7040), pages 336-340, May.
    4. Vanoverbeke, Joost, 2008. "Modeling individual and population dynamics in a consumer–resource system: Behavior under food limitation and crowding and the effect on population cycling in Daphnia," Ecological Modelling, Elsevier, vol. 216(3), pages 385-401.
    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. Lamonica, Dominique & Herbach, Ulysse & Orias, Frédéric & Clément, Bernard & Charles, Sandrine & Lopes, Christelle, 2016. "Mechanistic modelling of daphnid-algae dynamics within a laboratory microcosm," Ecological Modelling, Elsevier, vol. 320(C), pages 213-230.

    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. Moolenaar, Hanneke E. & Grasman, Johan & Selten, Frank M. & de Gee, Maarten, 2007. "Testing a method for analyzing the effect of parameter change in climate driven ecological systems," Ecological Modelling, Elsevier, vol. 205(3), pages 289-300.
    2. Guiet, Jérôme & Poggiale, Jean-Christophe & Maury, Olivier, 2016. "Modelling the community size-spectrum: recent developments and new directions," Ecological Modelling, Elsevier, vol. 337(C), pages 4-14.
    3. Manuel Mendoza-Carranza & Elisabet Ejarque & Leopold A J Nagelkerke, 2018. "Disentangling the complexity of tropical small-scale fisheries dynamics using supervised Self-Organizing Maps," PLOS ONE, Public Library of Science, vol. 13(5), pages 1-28, May.
    4. Yamauchi, Atsushi & Ito, Koichi & Shibasaki, Shota & Namba, Toshiyuki, 2023. "Continuous irregular dynamics with multiple neutral trajectories permit species coexistence in competitive communities," Theoretical Population Biology, Elsevier, vol. 149(C), pages 39-47.
    5. Lamonica, Dominique & Herbach, Ulysse & Orias, Frédéric & Clément, Bernard & Charles, Sandrine & Lopes, Christelle, 2016. "Mechanistic modelling of daphnid-algae dynamics within a laboratory microcosm," Ecological Modelling, Elsevier, vol. 320(C), pages 213-230.
    6. Michael J Malick & Sean P Cox, 2016. "Regional-Scale Declines in Productivity of Pink and Chum Salmon Stocks in Western North America," PLOS ONE, Public Library of Science, vol. 11(1), pages 1-23, January.
    7. Adrien Bernard Bonache & Marc Filser, 2013. "Comment améliorer la prévision des ventes pour le marketing ? Les apports de la théorie du chaos," Post-Print hal-03822792, HAL.
    8. Radchuk, Viktoriia & Oppel, Steffen & Groeneveld, Jürgen & Grimm, Volker & Schtickzelle, Nicolas, 2016. "Simple or complex: Relative impact of data availability and model purpose on the choice of model types for population viability analyses," Ecological Modelling, Elsevier, vol. 323(C), pages 87-95.
    9. Alejandra Goldenberg Vilar & Timme Donders & Aleksandra Cvetkoska & Friederike Wagner-Cremer, 2018. "Seasonality modulates the predictive skills of diatom based salinity transfer functions," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-19, November.
    10. Karnatak, Rajat & Ramaswamy, Ram & Feudel, Ulrike, 2014. "Conjugate coupling in ecosystems: Cross-predation stabilizes food webs," Chaos, Solitons & Fractals, Elsevier, vol. 68(C), pages 48-57.
    11. Yan Huang & Jiansong Wan, 2022. "Hierarchical analysis of Chinese financial market based on manifold structure," Annals of Operations Research, Springer, vol. 315(2), pages 1135-1150, August.
    12. Occhipinti, Guido & Solidoro, Cosimo & Grimaudo, Roberto & Valenti, Davide & Lazzari, Paolo, 2023. "Marine ecosystem models of realistic complexity rarely exhibits significant endogenous non-stationary dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    13. Chuanjun Dai & Hengguo Yu & Qing Guo & He Liu & Qi Wang & Zengling Ma & Min Zhao, 2019. "Dynamics Induced by Delay in a Nutrient-Phytoplankton Model with Multiple Delays," Complexity, Hindawi, vol. 2019, pages 1-16, February.
    14. Kaur, Rajinder Pal & Sharma, Amit & Sharma, Anuj Kumar & Sahu, Govind Prasad, 2021. "Chaos control of chaotic plankton dynamics in the presence of additional food, seasonality, and time delay," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    15. Adrien Bonache & Karen Moris, 2011. "Premières preuves empiriques de chaos dans les ventes de biens à la mode - First empirical evidence of chaos in the sales of fashion goods," Working Papers CREGO 1110602, Université de Bourgogne - CREGO EA7317 Centre de recherches en gestion des organisations.
    16. Subbiah, Mohan & Fabozzi, Frank J., 2016. "Hedge fund allocation: Evaluating parametric and nonparametric forecasts using alternative portfolio construction techniques," International Review of Financial Analysis, Elsevier, vol. 45(C), pages 189-201.
    17. Dost, Florian, 2015. "A non-linear causal network of marketing channel system structure," Journal of Retailing and Consumer Services, Elsevier, vol. 23(C), pages 49-57.
    18. Laura S Storch & Sarah M Glaser & Hao Ye & Andrew A Rosenberg, 2017. "Stock assessment and end-to-end ecosystem models alter dynamics of fisheries data," PLOS ONE, Public Library of Science, vol. 12(2), pages 1-11, February.
    19. Kupisch, Moritz & Moenickes, Sylvia & Schlief, Jeanette & Frassl, Marieke & Richter, Otto, 2012. "Temperature-dependent consumer-resource dynamics: A coupled structured model for Gammarus pulex (L.) and leaf litter," Ecological Modelling, Elsevier, vol. 247(C), pages 157-167.
    20. Alexander Maye & Chih-hao Hsieh & George Sugihara & Björn Brembs, 2007. "Order in Spontaneous Behavior," PLOS ONE, Public Library of Science, vol. 2(5), pages 1-14, May.

    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:220:y:2009:i:3:p:343-350. 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.