The Price equation and reproductive value.

Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences
Alan Grafen

Abstract

The Price equation is widely recognized as capturing conceptually important properties of natural selection, and is often used to derive versions of Fisher's fundamental theorem of natural selection, the secondary theorems of natural selection and other significant results. However, class structure is not usually incorporated into these arguments. From the starting point of Fisher's original connection between fitness and reproductive value, a principled way of incorporating reproductive value and structured populations into the Price equation is explained, with its implications for precise meanings of (two distinct kinds of) reproductive value and of fitness. Once the Price equation applies to structured populations, then the other equations follow. The fundamental theorem itself has a special place among these equations, not only because it always incorporated class structure (and its method is followed for general class structures), but also because that is the result that justifies the important idea that these equations identify the effect of natural selection. The precise definitions of reproductive value and fitness have striking and unexpected features. However, a theoretical challenge emerges from the articulation of F...Continue Reading

References

Jan 1, 1979·Annals of Human Genetics·J F Crow
Jun 1, 1989·Theoretical Population Biology·S Tuljapurkar
Nov 1, 1972·Annals of Human Genetics·G R Price
Apr 1, 1972·Annals of Human Genetics·G R Price
Aug 1, 1970·Nature·G R Price
Jul 1, 1964·Journal of Theoretical Biology·W D Hamilton
Nov 1, 1994·Biological Reviews of the Cambridge Philosophical Society·A W Edwards
Jan 1, 1996·Journal of Mathematical Biology·P D Taylor
Nov 14, 1997·Theoretical Population Biology·S Lessard
May 25, 2002·Theoretical Population Biology·A W F Edwards
Feb 10, 2004·Theoretical Population Biology·François Rousset, Ophélie Ronce
Jan 11, 2007·Journal of Evolutionary Biology·L Lehmann
May 25, 2007·Nature·Peter D TaylorGeoff Wild
May 8, 2008·Journal of Mathematical Biology·Nicolas Bacaër, Xamxinur Abdurahman
May 6, 2009·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Russell LandeBernt-Erik Saether
Jun 1, 2011·Genetics·Nicholas H Barton, Alison M Etheridge
Apr 11, 2012·Journal of Evolutionary Biology·S A Frank
Jul 10, 2013·Journal of Mathematical Biology·Charles J K BattyRichard Gratwick
Aug 21, 2013·Biological Reviews of the Cambridge Philosophical Society·A W F Edwards
May 27, 2014·Journal of Theoretical Biology·Alan Grafen
Feb 24, 2015·Journal of Theoretical Biology·Alan Grafen
Jun 18, 2015·Evolution; International Journal of Organic Evolution·Laurent LehmannJörgen Weibull
Jun 23, 2015·The American Naturalist·Alan Grafen
Jul 30, 2015·Theoretical Population Biology·Warren J Ewens, Sabin Lessard
Jun 11, 2016·Evolution; International Journal of Organic Evolution·Laurent LehmannJeremy Van Cleve
Mar 30, 2017·The American Naturalist·David C Queller
Aug 2, 2017·Journal of Mathematical Biology·Paul CreweAlan Grafen
Oct 29, 2017·Proceedings of the National Academy of Sciences of the United States of America·Russell LandeBernt-Erik Sæther
Jul 24, 2018·Journal of Theoretical Biology·Alan Grafen
Apr 17, 2019·Journal of Theoretical Biology·Sabin Lessard, Warren J Ewens

❮ Previous
Next ❯

Citations

May 10, 2020·Integrative and Comparative Biology·Kristen Hawkes
Mar 10, 2020·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Jussi LehtonenHeikki Helanterä

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.