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Lotka re-loaded: Modeling trophic interactions under stoichiometric constraints

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  • Elser, James J.
  • Loladze, Irakli
  • Peace, Angela L.
  • Kuang, Yang

Abstract

Nearly a century ago A.J. Lotka provided fundamental formulations for population modeling; less appreciated are his explorations of the underlying material (elemental) basis of life and its implications for ecology and evolution. This paper describes recent developments in ecological and biological stoichiometry that unify these aspects of Lotka's work. Stoichiometrically explicit versions of the Lotka–Volterra equations capture key missing aspects of food web interactions, such as the effects of food quality and nutrient recycling feedbacks, and encompass a richer, and potentially more realistic, set of dynamics than non-stoichiometric models. These stoichiometric models are now being further extended to include the recently discovered effects of excess dietary nutrient content on consumer performance. The multi-dimensional capacity of stoichiometric models is likely to be of particular value given the pressing need to anticipate the ecological effects of globally dynamic perturbations of multiple chemical elements (e.g. C, N, and P) due to human actions.

Suggested Citation

  • Elser, James J. & Loladze, Irakli & Peace, Angela L. & Kuang, Yang, 2012. "Lotka re-loaded: Modeling trophic interactions under stoichiometric constraints," Ecological Modelling, Elsevier, vol. 245(C), pages 3-11.
    • Handle: RePEc:eee:ecomod:v:245:y:2012:i:c:p:3-11
    DOI: 10.1016/j.ecolmodel.2012.02.006
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    References listed on IDEAS

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    1. Mulder, Kenneth & Bowden, William Breck, 2007. "Organismal stoichiometry and the adaptive advantage of variable nutrient use and production efficiency in Daphnia," Ecological Modelling, Elsevier, vol. 202(3), pages 427-440.
    2. James J. Elser & William F. Fagan & Robert F. Denno & Dean R. Dobberfuhl & Ayoola Folarin & Andrea Huberty & Sebastian Interlandi & Susan S. Kilham & Edward McCauley & Kimberly L. Schulz & Evan H. Sie, 2000. "Nutritional constraints in terrestrial and freshwater food webs," Nature, Nature, vol. 408(6812), pages 578-580, November.
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    Cited by:

    1. Chertov, Oleg & Komarov, Alexander & Shaw, Cindy & Bykhovets, Sergey & Frolov, Pavel & Shanin, Vladimir & Grabarnik, Pavel & Priputina, Irina & Zubkova, Elena & Shashkov, Maxim, 2017. "Romul_Hum—A model of soil organic matter formation coupling with soil biota activity. II. Parameterisation of the soil food web biota activity," Ecological Modelling, Elsevier, vol. 345(C), pages 125-139.
    2. Peace, Angela, 2015. "Effects of light, nutrients, and food chain length on trophic efficiencies in simple stoichiometric aquatic food chain models," Ecological Modelling, Elsevier, vol. 312(C), pages 125-135.
    3. Komarov, Alexander & Chertov, Oleg & Bykhovets, Sergey & Shaw, Cindy & Nadporozhskaya, Marina & Frolov, Pavel & Shashkov, Maxim & Shanin, Vladimir & Grabarnik, Pavel & Priputina, Irina & Zubkova, Elen, 2017. "Romul_Hum model of soil organic matter formation coupled with soil biota activity. I. Problem formulation, model description, and testing," Ecological Modelling, Elsevier, vol. 345(C), pages 113-124.

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