Fisher's ‘fundamental theorem’ made clear

  title={Fisher's ‘fundamental theorem’ made clear},
  author={GEORGE R. Price},
  journal={Annals of Human Genetics},
  • G. Price
  • Published 1 November 1972
  • Mathematics
  • Annals of Human Genetics

Fisher's fundamental theorem of natural selection revisited.

  • S. Lessard
  • Biology
    Theoretical population biology
  • 1997
This work considers a wide range of models, from discrete-time selection models with nonoverlapping generations to continuous-time models with overlapping generations and age effects on viability and fecundity, which is the original framework for Fisher's fundamental theorem.

Host–parasite coevolution: Partitioning the effects of natural selection and environmental change using coupled Price equations

The results show how natural selection on one species results in environmental change for the other species, and give an algebraic dissection of the eco‐evolutionary feedbacks created during host–parasite coevolution.

Fisher’s Fundamental Theorem of Natural Selection Isn’t Fundamental After All

The hope is that this communication will show the general irrelevance of FTNS to the question of the evolution of complexity by means of natural selection, and thus show that Fisher’s Theorem is not so fundamental after all.

The left hand side of the Fundamental Theorem of Natural Selection.

  • A. Grafen
  • Biology
    Journal of theoretical biology
  • 2018

Hamilton's rule.

Natural selection and the maximization of fitness

It may be a mistake to look for universal maximization principles justified by theory alone, but a more promising approach may be to find maximization Principles that apply conditionally and to show that the conditions were satisfied in the evolution of particular traits.

Linking Information, Knowledge and Evolutionary Growth: A Multilevel Interplay between Natural Selection and Informed Intervention

This article illustrates a formal link between economic growth and longstanding quantitative measures of information and knowledge. The link is found by relating two concepts from evolutionary

Evolutionary Epidemiology and the Dynamics of Adaptation

  • S. GandonT. Day
  • Biology
    Evolution; international journal of organic evolution
  • 2009
This analysis in the context of host-parasite interactions provides new ways to track the dynamics of adaptation in experimental evolution and coevolution studies and offers new perspectives on situations leading to evolutionary suicide.

Inhomogeneous maps and mathematical theory of selection

It is shown that the knowledge of the initial distribution of the selection system allows us to determine explicitly the system distribution at the entire time interval, and the problem of dynamic insufficiency for the Price equations and for the FTNS can be resolved within the framework of selection systems.


  • A. Edwards
  • Mathematics
    Biological reviews of the Cambridge Philosophical Society
  • 1994
The fundamental theorem of natural selection was a valiant attempt by R. A. Fisher to fit a quart into a pint pot



Selection and Covariance

THIS is a preliminary communication describing applications to genetical selection of a new mathematical treatment of selection in general.


Fisher's Malthusian parameter and reproductive value

There is a flaw in fisher's mathemathics due to his neglect of changes in population charactersitcs under natural selection, with the result that m equals the logarithmic rate of change of the total reproductive value of a population.

Fundamental Theorem of Natural Selection

LI1 has pointed out that Fisher's fundamental theorem of natural selection does not apply exactly in a discrete-generation random-mating situation unless there is no dominance in fitness, and that the mean fitness cannot decrease from generation to generation for a single diallelic locus.

On the change of population fitness by natural selection2 3

A general equation for the role of additive, dominance, and epistatic components of fitness in determining the rate of change in population fitness is given and claims that this law should hold the same position among the biological sciences as the second law of thermodynamics in physical sciences.

Extension of covariance selection mathematics

  • G. Price
  • Mathematics
    Annals of human genetics
  • 1972
The mathematics given here applies not only to genetical selection but to selection in general, intended mainly for use in deriving general relations and constructing theories, and to clarify understanding of selection phenomena, rather than for numerical calculation.

On thc chnngo of population fitness by niitural sclc\ction

  • Heretlit !
  • 1958

A~L Introduction to Genetical Statistics

  • 1957

Selcction a id covariance

  • Nature, Loridon 227,
  • 1970

Avcrage rxcrss and avrragc rffect of a gmo substitution. dutials ofEicye)iics 11

  • Avcrage rxcrss and avrragc rffect of a gmo substitution. dutials ofEicye)iics 11
  • 1941