IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v466y2022ics030438002200014x.html
   My bibliography  Save this article

Mathematical comparison and empirical review of the Monod and Droop forms for resource-based population dynamics

Author

Listed:
  • Wang, Hao
  • Garcia, Pablo Venegas
  • Ahmed, Shohel
  • Heggerud, Christopher M.

Abstract

Almost all biological models use either the Droop or Monod form to describe the resource-based growth of a living organism. Empirical evidence overwhelmingly suggests the Droop form describes data more accurately than the Monod form, however, the Monod form is more popular due to its simplicity. Focusing on phytoplankton, we illustrate the underlying logics behind these two forms via conceptual comparison, experimental data validation, transient, and asymptotic dynamics. The conceptual illustration provides the primary difference in their mechanisms via a paradox. Data validation is tested via field and laboratory experiments. The Droop and Monod forms have consistent asymptotic dynamics in the closed nutrient case, whereas the transient dynamics are significantly different when the nutrient uptake rate is small. In addition, we decipher Michael Droop’s private last statements on unifying the Droop and Monod forms as well as simplifying the Droop form. This article aims to guide future model development with any resource-based growth.

Suggested Citation

  • Wang, Hao & Garcia, Pablo Venegas & Ahmed, Shohel & Heggerud, Christopher M., 2022. "Mathematical comparison and empirical review of the Monod and Droop forms for resource-based population dynamics," Ecological Modelling, Elsevier, vol. 466(C).
    • Handle: RePEc:eee:ecomod:v:466:y:2022:i:c:s030438002200014x
    DOI: 10.1016/j.ecolmodel.2022.109887
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S030438002200014X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2022.109887?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. Sajeela Ghaffar & R Jan Stevenson & Zahiruddin Khan, 2017. "Effect of phosphorus stress on Microcystis aeruginosa growth and phosphorus uptake," PLOS ONE, Public Library of Science, vol. 12(3), pages 1-17, March.
    2. Darvehei, Pooya & Bahri, Parisa A. & Moheimani, Navid R., 2018. "Model development for the growth of microalgae: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 97(C), pages 233-258.
    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. Samvel Sarukhanian & Anna Maslovskaya & Christina Kuttler, 2023. "Three-Dimensional Cellular Automaton for Modeling of Self-Similar Evolution in Biofilm-Forming Bacterial Populations," Mathematics, MDPI, vol. 11(15), pages 1-18, July.

    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. Behera, Bunushree & Unpaprom, Yuwalee & Ramaraj, Rameshprabu & Maniam, Gaanty Pragas & Govindan, Natanamurugaraj & Paramasivan, Balasubramanian, 2021. "Integrated biomolecular and bioprocess engineering strategies for enhancing the lipid yield from microalgae," Renewable and Sustainable Energy Reviews, Elsevier, vol. 148(C).
    2. Kleiman, Rachel M. & Characklis, Gregory W. & Kern, Jordan D. & Gerlach, Robin, 2021. "Characterizing weather-related biophysical and financial risks in algal biofuel production," Applied Energy, Elsevier, vol. 294(C).
    3. Sze Shin Low & Kien Xiang Bong & Muhammad Mubashir & Chin Kui Cheng & Man Kee Lam & Jun Wei Lim & Yeek Chia Ho & Keat Teong Lee & Heli Siti Halimatul Munawaroh & Pau Loke Show, 2021. "Microalgae Cultivation in Palm Oil Mill Effluent (POME) Treatment and Biofuel Production," Sustainability, MDPI, vol. 13(6), pages 1-17, March.
    4. Raeisossadati, Mohammadjavad & Moheimani, Navid Reza & Parlevliet, David, 2019. "Luminescent solar concentrator panels for increasing the efficiency of mass microalgal production," Renewable and Sustainable Energy Reviews, Elsevier, vol. 101(C), pages 47-59.
    5. Torben Schädler & Anna-Lena Thurn & Thomas Brück & Dirk Weuster-Botz, 2021. "Continuous Production of Lipids with Microchloropsis salina in Open Thin-Layer Cascade Photobioreactors on a Pilot Scale," Energies, MDPI, vol. 14(2), pages 1-20, January.

    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:466:y:2022:i:c:s030438002200014x. 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.