Research article Special Issues

Effect of Excess Food Nutrient on Producer-Grazer Model under Stoichiometric and Toxicological Constraints

  • Received: 10 September 2018 Accepted: 24 September 2018 Published: 11 December 2018
  • Accurately assessing the risks of contaminants requires more than an understanding of the effects of contaminants on individual organism, but requires further understanding of complex ecological interactions, elemental cycling, and the interactive effects of natural stressors, such as resource limitations, and contaminant stressors. There is increasing evidence that organisms experience interactive effects of contaminant stressors and food conditions, such as resource stoichiometry, availability and excess of nutrient. Here, we develop and analyze the first producer-grazer population model that incorporates the effects of excess nutrients, as well as nutrient limitations on grazer exposed to toxicants. We use analytical, numerical and bifurcation analysis to reduce and explore model parameterized for an aquatic system of algae and zooplankton exposed to methylmercury under varying phosphorus conditions. Under certain environmental conditions, our models predict higher toxicity than previous models that neglect the consequences excess nutrient conditions can have on grazer populations.

    Citation: Md Nazmul Hassan, Kelsey Thompson, Gregory Mayer, Angela Peace. Effect of Excess Food Nutrient on Producer-Grazer Model under Stoichiometric and Toxicological Constraints[J]. Mathematical Biosciences and Engineering, 2019, 16(1): 150-167. doi: 10.3934/mbe.2019008

    Related Papers:

  • Accurately assessing the risks of contaminants requires more than an understanding of the effects of contaminants on individual organism, but requires further understanding of complex ecological interactions, elemental cycling, and the interactive effects of natural stressors, such as resource limitations, and contaminant stressors. There is increasing evidence that organisms experience interactive effects of contaminant stressors and food conditions, such as resource stoichiometry, availability and excess of nutrient. Here, we develop and analyze the first producer-grazer population model that incorporates the effects of excess nutrients, as well as nutrient limitations on grazer exposed to toxicants. We use analytical, numerical and bifurcation analysis to reduce and explore model parameterized for an aquatic system of algae and zooplankton exposed to methylmercury under varying phosphorus conditions. Under certain environmental conditions, our models predict higher toxicity than previous models that neglect the consequences excess nutrient conditions can have on grazer populations.
    加载中


    [1] T. Andersen, Pelagic nutrient cycles: herbivores as sources and sinks, 129 (2013), Springer Science & Business Media.
    [2] K.E. Biesinger, L.E. Anderson and J.G. Eaton, Chronic effects of inorganic and organic mercury ondaphnia magna: Toxicity, accumulation, and loss, Arc. Environment. Contamin. Toxico., 11 (1982), 769–774.
    [3] M. Boersma and J.J. Elser, Too much of a good thing: on stoichiometrically balanced diets and maximal growth, Ecology, 87 (2006), 1325–1330.
    [4] A.J. Cease, J.J. Elser, C.F. Ford, S. Hao, L. Kang and J.F. Harrison, Heavy livestock grazing promotes locust outbreaks by lowering plant nitrogen content, Science, 335 (2012), 467–469.
    [5] M. Danger and F. Maunoury-Danger, Ecological stoichiometry. In: Encyclopedia of Aquatic Ecotoxicology, Springer, (2013), 317–326.
    [6] J.J. Elser, J. Watts, J.J. Schampell and J. Farmer, Early Cambrian food webs on a trophic knifeedge? a hypothesis and preliminary data from a modern stromatolite-based ecosystem, Ecol. Lett., 9 (2006), 295–303.
    [7] J.J. Elser, M. Kyle, J. Learned, M.L. McCrackin, A. Peace and L. Steger, Life on the stoichiometric knife-edge: effects of high and low food c: P ratio on growth, feeding, and respiration in three daphnia species, Inland Water., 6 (2006), 136–146.
    [8] L.K. Hansen, P.C. Fros, J.H. Larson and C.D. Metcalfe, Poor elemental food quality reduces the toxicity of fluoxetine on daphnia magna, Aquat. Toxicol., 86 (2008), 99–103.
    [9] W.R. Hill and I.L. Larsen, Growth dilution of metals in microalgal biofilms, Environment. Sci. Technol., 39 (2005), 1513–1518.
    [10] Q. Huang, H. Wang and M. Lewis, Development of a toxin-mediated predator-prey model applicable to aquatic environments in the athabasca oil sands region, Osrin Rep. Tech. Rep., 59 (2014), 55. http://hdl. handle. net/10402/era. 40140.
    [11] O. Ieromina, W.J. Peijnenburg, G. de Snoo, J. M¨uller, T.P. Knepper and M.G. Vijver, Impact of imidacloprid on daphnia magna under different food quality regimes, Environment. Toxicol. Chem., 33 (2014), 621–631.
    [12] R. Karimi, C. Chen, P. Pickhardt, N. Fisher and C. Folt, Stoichiometric controls of mercury dilution by growth, Proceed. Nati. Acad. Sci., 104 (2014), 7477–7482.
    [13] C.R. Lessard, P.C. Frost, Phosphorus nutrition alters herbicide toxicity on Daphnia magna, Sci. Total Environ., 421 (2012), 124–128.
    [14] I. Loladze, Y. Kuang and J.J. Elser, Stoichiometry in producer-grazer systems: Linking energy flow with element cycling, Bull Math. Bio., 62L (2000), 1137–1162.
    [15] D. Mergler, H.A. Anderson, L.H.M. Chan, K.R. Mahaffey, M. Murray, M. Sakamoto and A.H. Stern, Methylmercury exposure and health effects in humans: a worldwide concern, AMBIO J. Human Environ., 36 (2007),3–11.
    [16] F.J. Miller, P.M. Schlosser and D.B. Janszen, Habers rule: a special case in a family of curves relating concentration and duration of exposure to a fixed level of response for a given endpoint, Toxicology, 149 (2000), 21–34.
    [17] R.L. Morehouse, A.R. Dzialowski and P.D. Jeyasingh, Impacts of excessive dietary phosphorus on zebra mussels, Hydrobiologia, 707 (2013), 73–80.
    [18] A. Peace, Y. Zhao, I. Loladze, J.J. Elser and Y. Kuang, A stoichiometric producer-grazer model incorporating the effects of excess food-nutrient content on consumer dynamics, Math. Biosci., 244 (2013), 107–115.
    [19] A. Peace, H. Wang and Y. Kuang, Dynamics of a producer–grazer model incorporating the effects of excess food nutrient content on grazers growth, Bull. Math. Biol., 76 (2013), 2175–2197.
    [20] A. Peace, M. Poteat and H Wang, Somatic growth dilution of a toxicant in a predator–prey model under stoichiometric constraints, J. Theo. Biol., 407 (2013), 198–211.
    [21] K. Plath, M. Boersma, Mineral limitation of zooplankton: stoichiometric constraints and optimal foraging, Ecology, 82 (2013), 1260–1269.
    [22] R.W. Sterner and J.J. Elser, Ecological stoichiometry: the biology of elements from molecules to the biosphere, Princeton University Press.
    [23] M.T. Tsui, W.X. Wang, Uptake and elimination routes of inorganic mercury and methylmercury in daphnia magna, Environ. Sci. Technol., 38 (2004), 808–816.
    [24] R.W. Vocke, Growth responses of selected freshwater algae to trace elements and scrubber ash slurry generated by coal-fired power plants, 1978.
    [25] C. Walker, R. Sibly, S. Hopkin and D. Peakall, Fates of organic pollutants in individuals and organisms, Principl. Fcotoxicol., 2012 (2012), 63–93.

    © 2019 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
  • Reader Comments
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Metrics

Article views(535) PDF downloads(554) Cited by(0)

Article outline

Figures and Tables

Figures(4)  /  Tables(1)

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog