Abstract

There has been important progress in understanding ecological dynamics through the development of the theory of ecological stoichiometry. For example, modeling under this framework allows food quality to affect consumer dynamics. While 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. Here we present a Lotka-Volterra type model to investigate the growth response of Daphnia to algae of varying P:C ratios capturing the mechanism of the stoichiometric knife edge.

Original languageEnglish (US)
Pages (from-to)107-115
Number of pages9
JournalMathematical Biosciences
Volume244
Issue number2
DOIs
StatePublished - Aug 2013

Fingerprint

Nutrients
Excess
nutrient content
knives
stoichiometry
algae
Food
Stoichiometry
development theory
animal growth
nutrient deficiencies
Daphnia
food quality
Lotka-Volterra
Algae
Phosphorus
mathematical models
Model
Growth
phosphorus

Keywords

  • Daphnia
  • Ecological stoichiometry
  • Lotka-Volterra
  • Stoichiometric knife edge

ASJC Scopus subject areas

  • Medicine(all)
  • Immunology and Microbiology(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Modeling and Simulation
  • Statistics and Probability
  • Applied Mathematics

Cite this

A stoichiometric producer-grazer model incorporating the effects of excess food-nutrient content on consumer dynamics. / Peace, Angela; Zhao, Yuqin; Loladze, Irakli; Elser, James; Kuang, Yang.

In: Mathematical Biosciences, Vol. 244, No. 2, 08.2013, p. 107-115.

Research output: Contribution to journalArticle

@article{015f59801af84534838dadeff4a7c72b,
title = "A stoichiometric producer-grazer model incorporating the effects of excess food-nutrient content on consumer dynamics",
abstract = "There has been important progress in understanding ecological dynamics through the development of the theory of ecological stoichiometry. For example, modeling under this framework allows food quality to affect consumer dynamics. While 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. Here we present a Lotka-Volterra type model to investigate the growth response of Daphnia to algae of varying P:C ratios capturing the mechanism of the stoichiometric knife edge.",
keywords = "Daphnia, Ecological stoichiometry, Lotka-Volterra, Stoichiometric knife edge",
author = "Angela Peace and Yuqin Zhao and Irakli Loladze and James Elser and Yang Kuang",
year = "2013",
month = "8",
doi = "10.1016/j.mbs.2013.04.011",
language = "English (US)",
volume = "244",
pages = "107--115",
journal = "Mathematical Biosciences",
issn = "0025-5564",
publisher = "Elsevier Inc.",
number = "2",

}

TY - JOUR

T1 - A stoichiometric producer-grazer model incorporating the effects of excess food-nutrient content on consumer dynamics

AU - Peace, Angela

AU - Zhao, Yuqin

AU - Loladze, Irakli

AU - Elser, James

AU - Kuang, Yang

PY - 2013/8

Y1 - 2013/8

N2 - There has been important progress in understanding ecological dynamics through the development of the theory of ecological stoichiometry. For example, modeling under this framework allows food quality to affect consumer dynamics. While 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. Here we present a Lotka-Volterra type model to investigate the growth response of Daphnia to algae of varying P:C ratios capturing the mechanism of the stoichiometric knife edge.

AB - There has been important progress in understanding ecological dynamics through the development of the theory of ecological stoichiometry. For example, modeling under this framework allows food quality to affect consumer dynamics. While 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. Here we present a Lotka-Volterra type model to investigate the growth response of Daphnia to algae of varying P:C ratios capturing the mechanism of the stoichiometric knife edge.

KW - Daphnia

KW - Ecological stoichiometry

KW - Lotka-Volterra

KW - Stoichiometric knife edge

UR - http://www.scopus.com/inward/record.url?scp=84881225289&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84881225289&partnerID=8YFLogxK

U2 - 10.1016/j.mbs.2013.04.011

DO - 10.1016/j.mbs.2013.04.011

M3 - Article

VL - 244

SP - 107

EP - 115

JO - Mathematical Biosciences

JF - Mathematical Biosciences

SN - 0025-5564

IS - 2

ER -