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This article is about "reproductive value" in population genetics. For "reproductive value" in social psychology, see
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that represents the discounted number of future female children that will be born to a female of a specific age.
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The
Relation Between Reproductive Value and Genetic Contribution Published by the Genetics journal
350:{\displaystyle v_{x}=\sum _{y=x}^{\infty }\lambda ^{-(y-x+1)}{\frac {\ell _{y}}{\ell _{x}}}m_{y}}
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In a population with a discrete set of age classes, Fisher's reproductive value is calculated as
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value measures the contribution of an individual of a given age to the future growth of the
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509:{\displaystyle v(x)=\int _{x}^{\infty }e^{-r(y-x)}{\frac {\ell (y)}{\ell (x)}}m(y)dy}
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be discounted at the rate of growth of the population; this implies that
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212:= average number of offspring produced by an individual of age
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is the long-term population growth rate given by the dominant
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Grafen, A (2006). "A theory of Fisher's reproductive value".
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75:with survival and reproductive parameters given by
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41:first defined reproductive value in his 1930 book
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159:= probability of surviving from age 0 to age
23:Concept in demography and population genetics
589:The Genetical Theory of Natural Selection
44:The Genetical Theory of Natural Selection
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18:Reproductive value (social psychology)
599:. Springer, New York. 3rd edition.
592:. Oxford University Press, Oxford.
388:. When age classes are continuous,
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595:Keyfitz, N. and Caswell, H. 2005.
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597:Applied Mathematical Demography
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47:where he proposed that future
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541:intrinsic rate of increase
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633:10.1007/s00285-006-0376-4
152:{\displaystyle \ell _{x}}
95:{\displaystyle \ell _{x}}
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373:{\displaystyle \lambda }
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205:{\displaystyle m_{x}}
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122:{\displaystyle m_{x}}
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53:sexually reproductive
586:Fisher, R. A. 1930.
565:Euler–Lotka equation
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679:Population genetics
601:doi:10.1007/b139042
560:Population dynamics
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35:population genetics
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228:{\displaystyle x.}
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73:life history table
27:Reproductive value
532:{\displaystyle r}
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172:{\displaystyle x}
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29:is a concept in
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570:Leslie matrix
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39:Ronald Fisher
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627:(1): 15–60.
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621:J Math Biol
548:growth rate
67:Consider a
684:Senescence
673:Categories
607:References
575:Senescence
546:Malthusian
382:eigenvalue
63:Definition
57:population
31:demography
474:ℓ
460:ℓ
446:−
434:−
424:∞
415:∫
368:λ
327:ℓ
317:ℓ
297:−
288:−
284:λ
278:∞
263:∑
141:ℓ
84:ℓ
49:offspring
649:24916638
641:16791649
554:See also
129:, where
539:is the
384:of the
71:with a
69:species
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519:where
360:where
645:S2CID
581:Notes
637:PMID
182:and
102:and
33:and
629:doi
543:or
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