Universal expressions of population change by the Price equation: Natural selection, information, and maximum entropy production

Ecology and Evolution
S A Frank

Abstract

The Price equation shows the unity between the fundamental expressions of change in biology, in information and entropy descriptions of populations, and in aspects of thermodynamics. The Price equation partitions the change in the average value of a metric between two populations. A population may be composed of organisms or particles or any members of a set to which we can assign probabilities. A metric may be biological fitness or physical energy or the output of an arbitrarily complicated function that assigns quantitative values to members of the population. The first part of the Price equation describes how directly applied forces change the probabilities assigned to members of the population when holding constant the metrical values of the members-a fixed metrical frame of reference. The second part describes how the metrical values change, altering the metrical frame of reference. In canonical examples, the direct forces balance the changing metrical frame of reference, leaving the average or total metrical values unchanged. In biology, relative reproductive success (fitness) remains invariant as a simple consequence of the conservation of total probability. In physics, systems often conserve total energy. Nonconservativ...Continue Reading

References

Dec 1, 1992·Theoretical Population Biology·W J Ewens
Oct 1, 1989·Theoretical Population Biology·W J Ewens
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
Aug 7, 1995·Journal of Theoretical Biology·S A Frank
Aug 7, 1995·Journal of Theoretical Biology·G R Price
Oct 1, 1995·Theoretical Population Biology·Y X Fu
Jul 28, 2006·Ecology·Barry W Brook, Corey J A Bradshaw
Nov 27, 2008·Journal of Evolutionary Biology·S A Frank
Mar 1, 1992·Trends in Ecology & Evolution·S A Frank, M Slatkin
May 17, 2011·Trends in Ecology & Evolution·Harold P de Vladar, Nicholas H Barton
Apr 11, 2012·Journal of Evolutionary Biology·S A Frank
Dec 1, 1997·Evolution; International Journal of Organic Evolution·Steven A Frank

❮ Previous
Next ❯

Citations

Mar 10, 2020·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·G K HajdukL E B Kruuk
Mar 10, 2020·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Steven A Frank
Aug 15, 2019·Entropy·William B Sherwin, Narcis Prat I Fornells
Mar 2, 2021·Behavioural Processes·M Borgstede, F Eggert
Apr 4, 2021·Entropy·Alexander O Gusev, Leonid M Martyushev

❮ 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.

Related Papers

Journal of Theoretical Biology
G P Gladyshev, Ershov YuA
Theoretical Population Biology
Stefan WrzaczekGustav Feichtinger
Annual Review of Biophysics
Jonathan B Chaires
American Journal of Optometry and Archives of American Academy of Optometry
M J HIRSCH
Nursing Times
J Trevelyan
© 2022 Meta ULC. All rights reserved