publication . Article . Other literature type . 2019

Revisiting the “fallacy of averages” in ecology: Expected gain per unit time equals expected gain divided by expected time

Broom, M.; Cressman, R.; Křivan, V.;
Open Access English
  • Published: 01 Dec 2019 Journal: Journal of Theoretical Biology, volume 483, page 109,993 (issn: 00225193, Copyright policy)
  • Country: United Kingdom
Abstract
Abstract Fitness is often defined as the average payoff an animal obtains when it is engaged in several activities, each taking some time. We point out that the average can be calculated with respect to either the time distribution, or to the event distribution of these activities. We show that these two averages lead to the same fitness function. We illustrate this result through two examples from foraging theory, Holling II functional response and the diet choice model, and one game-theoretic example of Hamilton’s rule applied to the time-constrained Prisoner’s dilemma (PD). In particular, we show that in these models, fitness defined as expected gain per unit...
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Subjects
free text keywords: General Biochemistry, Genetics and Molecular Biology, Modelling and Simulation, Statistics and Probability, General Immunology and Microbiology, Applied Mathematics, General Agricultural and Biological Sciences, General Medicine, GF, QA, QH301, Statistics, Stochastic game, Division (mathematics), Dilemma, Time distribution, Fitness function, Functional response, Fallacy, Optimal foraging theory, Mathematics
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Funded by
EC| FourCmodelling
Project
FourCmodelling
Conflict, Competition, Cooperation and Complexity: Using Evolutionary Game Theory to model realistic populations
  • Funder: European Commission (EC)
  • Project Code: 690817
  • Funding stream: H2020 | MSCA-RISE
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