Fisher's ‘fundamental theorem’ made clear

@article{Price1972FishersT,
  title={Fisher's ‘fundamental theorem’ made clear},
  author={GEORGE R. Price},
  journal={Annals of Human Genetics},
  year={1972},
  volume={36}
}
  • G. Price
  • Published 1972
  • Mathematics, Medicine
  • Annals of Human Genetics
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  • 1997
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References

SHOWING 1-10 OF 26 REFERENCES
Selection and Covariance
THIS is a preliminary communication describing applications to genetical selection of a new mathematical treatment of selection in general.
Extension of covariance selection mathematics
  • G. Price
  • Mathematics, Medicine
  • Annals of human genetics
  • 1972
TLDR
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. Expand
Fishcr’s Malthusian parnmcter and reproclnctivc, viiliic
  • Annals oJ
  • 1972
Fisher's Malthusian parameter and reproductive value
TLDR
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. Expand
Ihtcnsion of covariancc sclection tnathrinatics
  • Atimds of Human G ‘ eiiefic , a 35 , 485 - 490 . PRICI
  • 1972
Ihtcnsion of covariancc sclection tnathrinatics. Atimds of Human G'eiiefic
  • 1972
Arb Ititroductiou to I'opulatioit Genetics Tlieoy~
  • New Yorlc: Hctrpcr and Ron
  • 1970
Fishcr's Malthusian parnmcter and reproclnctivc, viiliic Changes in mciin fitness under natural srlrction
  • Muthemutical Topics irr PopulaliojL R u
  • 1970
Fniiclatncntal thcorrm of natural sclection
  • Arb Ititroductiou to I ’ opulatioit Genetics Tlieoy ~
  • 1970
Selcction a i d covariance
  • Nature, Loridon
  • 1970
...
1
2
3
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