A stoichiometric producer-grazer model incorporating the effects of excess food-nutrient content on consumer dynamics

Peace, Angela; Zhao, Yuqin; Loladze, Irakli; Elser, James J.; Kuang, Yang

doi:10.1016/j.mbs.2013.04.011

Cited by 32 publications

(32 citation statements)

References 26 publications

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“…Whether this model outcome (deterministic extinction of grazers under high P input) realistically predicts zooplankton dynamics during P-induced eutrophication requires further testing. The model developed by Peace et al (2013) assumed the mechanism behind the stoichiometric knife edge is a simple reduction in ingestion rate, following the data of Plath and Boersma (2001); however, this assumption is not supported by our data. We found evidence that P-rich food reduces growth rates due to increased metabolic costs.…”

Section: Discussioncontrasting

confidence: 55%

“…Incorporating stoichiometric constraints and the effects of high C:P ratio into trophic dynamic models has been shown to have major impacts on predicted dynamics (Loladze et al 2000, Muller et al 2001, Andersen et al 2004. Recently, Peace et al (2013) introduced the negative effects of low food C:P ratio on consumers in a modified version of the LKE model (Loladze et al 2000). Doing so created an equilibrium point at moderately high P levels with low zooplankton biomass, whose dynamics are limited by excess food P content.…”

Section: Discussionmentioning

confidence: 99%

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Life on the stoichiometric knife-edge: effects of high and low food C:P ratio on growth, feeding, and respiration in three Daphnia species

Elser

Kyle

Learned

et al. 2016

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Recently, data have emerged indicating that not only high food carbon:phosphorus (C:P) ratio but also low food C:P (P-rich food) can have negative effects on the growth of consumers. The shape of this "stoichiometric knife edge," however, is not yet well-documented, and the mechanisms underpinning it are not understood. Here we report the results of experiments using 3 species of Daphnia (D. magna, D. pulicaria, D. pulex) consuming the green alga Scenedesmus acutus with widely varying C:P ratios (from <50 to >1500 by atoms). The experiments were designed to (1) characterize the potential stoichiometric knife edge for each species, and (2) evaluate potential changes in feeding and respiration rates that may underpin the unimodal response to food C:P. All 3 Daphnia species grew more slowly when food C:P (atomic) exceeded ~250-300 but also when C:P was <120. Both high and low C:P foods were associated with increased respiration rates, indicating that the negative effects of food C:P imbalance at least partially involve increased metabolic costs of dealing with stoichiometrically imbalanced food. Feeding rate experiments indicated that, in contrast with limited previous data, animals generally increased their feeding rate on P-rich food. Overall, the "lower threshold elemental ratio" we identify here (~120) is surprisingly high, in an ecologically meaningful range, suggesting that negative effects of excessive food P content may play an under-recognized role in affecting Daphnia performance in P-rich lakes with low seston C:P ratio. Such effects also need to be incorporated into stoichiometrically explicit models of planktonic trophic interactions.

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Section: Discussioncontrasting

confidence: 55%

Section: Discussionmentioning

confidence: 99%

Life on the stoichiometric knife-edge: effects of high and low food C:P ratio on growth, feeding, and respiration in three Daphnia species

Elser

Kyle

Learned

et al. 2016

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“…Loladze et al (2000) investigate the effects of light enrichment on the basic stoichiometric predator-prey model (System (A.1)). Peace et al (2013) investigate the effects of nutrient enrichment on an expanded stoichiometric predator-prey model. It is observed that increasing light levels K causes the prey food quality Q to decrease, whereas increasing the nutrient levels P causes the prey food quality to increase.…”

Section: Asymptotic Dynamicsmentioning

confidence: 99%

“…Ecologists have made important progress collecting large amounts of data from both lab experiments and field sites to support Ecological Stoichiometry (Andersen (1997); Sterner and Elser (2002); Urabe and Sterner (1996); Elser et al (1996); Elser and Urabe (1999); Elser et al (2000Elser et al ( , 2001; Urabe et al (2002); McCauley et al (2008); Hessen et al (2013)). Since the development of the theory of ecological stoichiometry, a wide variety of stoichiometric food web models have been proposed and analyzed (Andersen, 1997;Loladze et al, 2000;Grover, 2004;Hall, 2004;Wang et al, 2008a;Hall, 2009;Wang et al, 2012;Peace et al, 2013Peace et al, , 2014. Stoichiometric models incorporate the effects of both food quantity and food quality into a single framework that produces rich dynamics.…”

Section: Introductionmentioning

confidence: 99%

Somatic Growth Dilution of a toxicant in a predator–prey model under stoichiometric constraints

Peace

Poteat

Wang

2016

Journal of Theoretical Biology

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The development of aquatic food chain models that incorporate both the effects of nutrient availability, as well as, track toxicants through trophic levels will shed light on ecotoxicological processes and ultimately help improve risk assessment efforts. Here we develop a stoichiometric aquatic food chain model of two trophic levels that investigates concurrent nutrient and toxic stressors in order to improve our understanding of the processes governing the trophic transfer for nutrients, energy, and toxicants. Analytical analysis of positive invariance, local stability of boundary equilibria, numerical simulations, and bifurcation analysis are presented. The model captures and explores a phenomenon called the Somatic Growth Dilution (SGD) effect recently observed empirically, where organisms experience a greater than proportional gain in biomass relative to toxicant concentrations when consuming food with high nutritional content vs. low quality food.

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“…A wide variety of stoichiometric population models have been proposed and analyzed in recent years describing the intriguing effects of variable prey quantity and quality on the predator growth [2,3,4,5]. Many of these models are related to or based on the so-called LKE model, a concise and elegant two-dimensional Lotka-Volterra type model that incorporates chemical heterogeneity of the first two trophic levels of a food chain by Loladze, Kuang and Elser [6].…”

Section: Introductionmentioning

confidence: 99%

Global dynamics in a stoichiometric food chain model with two limiting nutrients

Chen

Fan

Kuang

2017

Mathematical Biosciences

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Ecological stoichiometry studies the balance of energy and multiple chemical elements in ecological interactions to establish how the nutrient content affect food-web dynamics and nutrient cycling in ecosystems. In this study, we formulate a food chain with two limiting nutrients in the form of a stoichiometric population model. A comprehensive global analysis of the rich dynamics of the targeted model is explored both analytically and numerically. Chaotic dynamic is observed in this simple stoichiometric food chain model and is compared with traditional model without stoichiometry. The detailed comparison reveals that stoichiometry can reduce the parameter space for chaotic dynamics. Our findings also show that decreasing producer production efficiency may have only a small effect on the consumer growth but a more profound impact on the top predator growth.

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A stoichiometric producer-grazer model incorporating the effects of excess food-nutrient content on consumer dynamics

Cited by 32 publications

References 26 publications

Life on the stoichiometric knife-edge: effects of high and low food C:P ratio on growth, feeding, and respiration in three Daphnia species

Life on the stoichiometric knife-edge: effects of high and low food C:P ratio on growth, feeding, and respiration in three Daphnia species

Somatic Growth Dilution of a toxicant in a predator–prey model under stoichiometric constraints

Global dynamics in a stoichiometric food chain model with two limiting nutrients

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