This article is about "reproductive value" in population genetics. For "reproductive value" in social psychology, see Reproductive value (social psychology).
Reproductive value is a concept in demography and population genetics that represents the discounted number of future female children that will be born to a female of a specific age. Ronald Fisher first defined reproductive value in his 1930 book The Genetical Theory of Natural Selection where he proposed that future offspring be discounted at the rate of growth of the population; this implies that sexually reproductive value measures the contribution of an individual of a given age to the future growth of the population.[1][2]
Keyfitz, N. and Caswell, H. 2005. Applied Mathematical Demography. Springer, New York. 3rd edition. doi:10.1007/b139042
Referencesedit
^Grafen, A (2006). "A theory of Fisher's reproductive value". J Math Biol. 53 (1): 15–60. doi:10.1007/s00285-006-0376-4. PMID 16791649. S2CID 24916638.
^The Relation Between Reproductive Value and Genetic Contribution Published by the Genetics journal
April 13, 2024
reproductive, value, population, genetics, this, article, about, reproductive, value, population, genetics, reproductive, value, social, psychology, reproductive, value, social, psychology, reproductive, value, concept, demography, population, genetics, that, . This article is about reproductive value in population genetics For reproductive value in social psychology see Reproductive value social psychology Reproductive value is a concept in demography and population genetics that represents the discounted number of future female children that will be born to a female of a specific age Ronald Fisher first defined reproductive value in his 1930 book The Genetical Theory of Natural Selection where he proposed that future offspring be discounted at the rate of growth of the population this implies that sexually reproductive value measures the contribution of an individual of a given age to the future growth of the population 1 2 Contents 1 Definition 2 See also 3 Notes 4 ReferencesDefinition editConsider a species with a life history table with survival and reproductive parameters given by ℓx displaystyle ell x nbsp and mx displaystyle m x nbsp where ℓx displaystyle ell x nbsp probability of surviving from age 0 to age x displaystyle x nbsp and mx displaystyle m x nbsp average number of offspring produced by an individual of age x displaystyle x nbsp In a population with a discrete set of age classes Fisher s reproductive value is calculated as vx y x l y x 1 ℓyℓxmy displaystyle v x sum y x infty lambda y x 1 frac ell y ell x m y nbsp where l displaystyle lambda nbsp is the long term population growth rate given by the dominant eigenvalue of the Leslie matrix When age classes are continuous v x x e r y x ℓ y ℓ x m y dy displaystyle v x int x infty e r y x frac ell y ell x m y dy nbsp where r displaystyle r nbsp is the intrinsic rate of increase or Malthusian growth rate See also editPopulation dynamics Euler Lotka equation Leslie matrix SenescenceNotes editFisher R A 1930 The Genetical Theory of Natural Selection Oxford University Press Oxford Keyfitz N and Caswell H 2005 Applied Mathematical Demography Springer New York 3rd edition doi 10 1007 b139042References edit Grafen A 2006 A theory of Fisher s reproductive value J Math Biol 53 1 15 60 doi 10 1007 s00285 006 0376 4 PMID 16791649 S2CID 24916638 The Relation Between Reproductive Value and Genetic Contribution Published by the Genetics journal Retrieved from https en wikipedia org w index php title Reproductive value population genetics amp oldid 1101888665, wikipedia, wiki, book, books, library,