Price equation

E765764

The Price equation is a mathematical formulation in evolutionary biology that partitions changes in a trait’s average value into components due to natural selection and transmission effects across generations.

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Statements (48)

Predicate Object
instanceOf evolutionary biology concept
mathematical equation
appliesTo allele frequencies
any system with entities that reproduce and transmit properties
cultural traits
genetic traits
phenotypic traits
assumes entities have fitness values and trait values
reproduction with possible change in trait values
canBeExtendedTo frequency-dependent selection
multilevel selection models
non-genetic inheritance
stochastic evolutionary processes
captures statistical relationship between fitness and trait values
criticizedFor being an identity rather than a predictive model
limited intuitive biological interpretation in some forms
describes change in average trait value between generations
expresses change in mean character value as covariance between fitness and trait plus expectation of within-lineage change
field evolutionary biology
population genetics
theoretical biology
formulatedBy George R. Price NERFINISHED
generalizes selection differential
includesComponent covariance term
expectation term
natural selection term
transmission bias term
influenced development of modern kin selection theory
formal treatments of group selection
mathematicalForm Δz̄ = Cov(wᵢ, zᵢ)/w̄ + E(wᵢΔzᵢ)/w̄
namedAfter George R. Price NERFINISHED
partitions evolutionary change into selection and transmission components
publicationDecade 1970s
relatedTo Fisher’s fundamental theorem of natural selection NERFINISHED
Robertson–Price identity NERFINISHED
covariance selection mathematics
replicator equation NERFINISHED
usedFor analyzing evolutionary change in structured populations
analyzing group selection
analyzing kin selection
analyzing multilevel selection
analyzing natural selection
decomposing evolutionary dynamics
studying cultural evolution
studying evolutionary game theory
studying gene–culture coevolution
studying inclusive fitness
studying selection on correlated traits

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