Genotypic Selection in Spatially Heterogeneous Producer-Grazer Systems Subject to Stoichiometric Constraints

Various environmental conditions may exert selection pressures leading to adaptation of stoichiometrically important traits, such as organismal nutritional content or growth rate. We use theoretical approaches to explore the connections between genotypic selection and ecological stoichiometry in spa...

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Published inBulletin of mathematical biology Vol. 81; no. 11; pp. 4726 - 4742
Main Authors Dissanayake, Chandani, Juan, Lourdes, Long, Kevin R., Peace, Angela, Rana, Md Masud
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2019
Springer Nature B.V
Subjects
Algae
Asexuality
Biomass
Carbon
Cell Biology
Chemical elements
Environment models
Environmental conditions
Equilibrium
Food
Food quality
Genotype & phenotype
Genotypes
Growth rate
Hypotheses
Life Sciences
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Nutrients
Phosphorus
Population
Population dynamics
Special Issue: Modelling Biological Evolution: Developing Novel Approaches
Species extinction
Stoichiometry
Genotypic selection
Population dynamics
92D25
Ecological stoichiometry
Diffusion
92D15
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Summary:Various environmental conditions may exert selection pressures leading to adaptation of stoichiometrically important traits, such as organismal nutritional content or growth rate. We use theoretical approaches to explore the connections between genotypic selection and ecological stoichiometry in spatially heterogeneous environments. We present models of a producer and two grazing genotypes with different stoichiometric phosphorus/carbon ratios under spatially homogenous and heterogeneous conditions. Numerical experiments predict that selection of a single genotype, co-persistence of both genotypes, and extinction are possible outcomes depending on environmental conditions. Our results indicated that in spatially homogenous settings, co-persistence of both genotypes can occur when population dynamics oscillate on limit cycles near a key stoichiometric threshold on food quality. Under spatially heterogeneous settings, dynamics are more complex, where co-persistence is observed on limit cycles, as well as stable equilibria.
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ISSN:0092-8240
1522-9602
1522-9602
DOI:10.1007/s11538-018-00559-9