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(1954)
The measurement of natural selection. Proceeding8 of the 9th International Congres8 ,of Genetics, part I
Note added in proof. I have recently learned that Dr Alan Robertson published covariance selection equations similar to equation (1) of Price (1970) in 1966 in
G. Price (1970)
Selection and CovarianceNature, 227
G. Price (1971)
Extension of the Hardy‐Weinberg Law to assortative matingAnnals of Human Genetics, 34
J. Crow, M. Kimura (1971)
An introduction to population genetics theory
BY GEORGE R. PRICE The Galton Laboratory, University College London This paper gives some extensions of the selection mathematics based on the covariance function published in Price (1970). Application of the mathematics to âgroup selectionâ is briefly illustrated. More about applications will be shown in a later paper concerning â Selection in populations with overlapping generationsâ, which will be submitted to this journal. To facilitate reference in that paper, the equations in this paper are labelled with the letter âA. The mathematics given here applies not only to genetical selection but to selection in general. It is intended mainly for use in deriving general relations and constructing theories, and to clarify understanding of selection phenomena, rather than for numerical calculation. WEIGHTED STATISTICAL FUNCTIONS I n this paper we will be concerned with population functions and make no use of sample functions, hence we will not observe notational conventions for distinguishing population and sample variables and functions, We begin by defining notation for weighted statistical functions. Here we generalize and extend notation defined in Price (1971): avewx = (Z WiXi)/ZWi, (A 1) COV,,(X, y) = [Z %(Xi - aye, 4 (Yi - avew Y)I/ZWi, i (A 2) (A 3)
Annals of Human Genetics – Wiley
Published: Apr 1, 1972
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