Fisher's fundamental theorem of natural selection

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Fisher's fundamental theorem of natural selection is a key principle in evolutionary biology stating that the rate of increase in fitness of a population is proportional to its genetic variance in fitness.

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Predicate Object
instanceOf principle of population genetics
theorem in evolutionary biology
addresses conditions for adaptive evolution
appliesTo idealized populations
short-term evolutionary change
assumes constant environment
natural selection as the only evolutionary force
no frequency-dependent selection
no genetic drift
no migration
no mutation
clarifiedBy George R. Price
William D. Hamilton
surface form: William Donald Hamilton
componentOf modern evolutionary synthesis
concerns change in mean fitness over time
heritable variation in fitness
controversy interpretation and generality debated among evolutionary biologists
coreClaim The rate of increase in fitness of any organism at any time is equal to its genetic variance in fitness at that time
describes rate of increase in mean fitness of a population
doesNotDirectlyAccountFor changing environments
gene–environment interactions
excludes dominance deviations in its basic form
epistatic deviations in its basic form
field evolutionary biology
mathematical biology
population genetics
focusesOn additive genetic effects
formulatedBy Ronald A. Fisher
surface form: Ronald Aylmer Fisher
hasMathematicalForm dW/dt = VA / W (in one common formulation)
historicalSignificance one of the foundational results of population genetics
implies mean fitness of a population cannot decrease under pure natural selection
natural selection increases mean fitness at a rate equal to additive genetic variance in fitness
influenced evolutionary theory of adaptation
quantitative genetics
theoretical population genetics
language originally formulated in English
mathematicallyReformulatedBy George R. Price
oftenMisinterpretedAs claim that fitness always increases in real populations
publicationYear 1930
relatedConcept Price equation
adaptive landscape
additive genetic variance
genetic variance
mean fitness
relatedTo Darwinism
surface form: Darwinian natural selection
relates additive genetic variance in fitness
rate of increase in fitness
statedIn The Genetical Theory of Natural Selection

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Ronald A. Fisher knownFor Fisher's fundamental theorem of natural selection
The Genetical Theory of Natural Selection contains Fisher's fundamental theorem of natural selection
The Genetical Theory of Natural Selection notableConcept Fisher's fundamental theorem of natural selection
this entity surface form: fundamental theorem of natural selection