Stoichiometric knife-edgeWhile the effects of nutrient deficiency on consumer growth are well understood, recent discoveries in ecological stoichiometry suggest that consumer dynamics are not only affected by insufficient food nutrient content (low phosphorus (P): carbon (C) ratio) but also by excess food nutrient content (high P:C). This phenomenon is known as the stoichiometric knife edge, in which animal growth is reduced not only by food with low P content but also by food with high P content, and needs to be incorporated into mathematical models. We use Lotka–Volterra type models to investigate the growth response of Daphnia to algae of varying P:C ratios capturing the mechanism of the stoichiometric knife edge.
- J.J. Elser, M. Kyle, J. Learned, M.L. McCrackin, A. Peace, 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 Waters. 6:136-146, 2016.
- A. Peace, H. Wang, Y. Kuang. "Dynamics of a producer-grazer model incorporating the effects of excess food-nutrient content on grazer's growth". Bulletin of Mathematical Biology. 76:2175-2197, 2014.
- 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. Mathematical Biosciences". 244:107-115, 2013.