Foundations of a mathematical theory of Darwinism

DOI10.1007/s00285-013-0706-2zbMath1299.92038OpenAlexW1979002222WikidataQ51189497 ScholiaQ51189497MaRDI QIDQ403989

Charles J. K. Batty, Paul Crewe, Alan Grafen, Richard Gratwick

Publication date: 29 August 2014

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-013-0706-2

zbMATH Keywords

reproductive valuefitness maximizationformal Darwinismprice equation

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of mathematical programming (90C90) Approximation methods and heuristics in mathematical programming (90C59) Markov processes (60J99) Miscellaneous topics in calculus of variations and optimal control (49N99)

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Modelling the evolution of traits in a two-sex population, with an application to grandmothering ⋮ The left hand side of the fundamental theorem of natural selection ⋮ Defining fitness in an uncertain world ⋮ Biological fitness and the price equation in class-structured populations

Cites Work

• An interpretation and proof of the fundamental theorem of natural selection
• Fisher's fundamental theorem of natural selection revisited
• Mathematical population genetics. I: Theoretical introduction.
• Inclusive fitness arguments in genetic models of behaviour
• Optimization of inclusive fitness
• A theory of Fisher's reproductive value
• Fisher's Fundamental Theorem of Natural Selection—A Philosophical Analysis
• Survey of Measurable Selection Theorems
• The Logic of Animal Conflict
• Introdction to Measure and Probability
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
• ON THE USE OF MATRICES IN CERTAIN POPULATION MATHEMATICS
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