Galton's law of ancestral heredity.

Abstract:

:Galton's ancestral law states that the two parent contribute between them on average one-half of the total heritage of the offspring, the four grandparents one-quarter, and so on. He interpreted this law both as a representation of the separate contributions of each ancestor to the heritage of the offspring and as a multiple regression formula for predicting the value of a trait from ancestral values. Logical reconstruction of the law is presented based on formalizing Galton's model of heredity outlined in Natural Inheritance (Galton, 1889). The resulting law has a free parameter to be empirically estimated which represents the frequency of latent hereditary elements that are not expressed in a particular individual but are capable of transmission to the next generation. The equation representing ancestral contributions to the heritage of the offspring differs from the multiple regression equation for predicting the value of a trait from ancestral values. The former equation reduces to Galton's ancestral law when the proportion of latent elements is 0.5, the latter when this proportion 0.6. Galton's rather different derivations of the law in 1885 and 1897 are described, and their shortcomings are discussed in the light of these results (Galton, 1885, 1897).

journal_name

Heredity (Edinb)

journal_title

Heredity

authors

Bulmer M

doi

10.1046/j.1365-2540.1998.00418.x

subject

Has Abstract

pub_date

1998-11-01 00:00:00

pages

579-85

eissn

0018-067X

issn

1365-2540

journal_volume

81 ( Pt 5)

pub_type

传,历史文章,杂志文章

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