fIsonymy: Calculate the Isonymy within a region

In OnomasticDiversity: Onomastic Diversity Measures

Calculate the Isonymy within a region

Description

This function obtains the isonymy within a region i which has an associated collection S_i of surnames.

Usage

fIsonymy(x, category)

Arguments

x	a vector of relative frequency squared for each surname.
category	represents the grouping element, for example the regions.

Details

Isonymy is defined as I_i=\sum\limits_{k\in S_i}p_{ki}^2 where p_{ki} denotes the relative frequency of surname k in region i.

In diversity context, p_{ki} denotes the relative frequency of species k in community (\approx region onomastic context) i and S_i are all species in community i.

Value

A dataframe containing the following components:

category	represents the grouping element, for example the regions / communities.
x	the value of isonymy.

Author(s)

Maria Jose Ginzo Villamayor

References

Crow J.F. and Mange A.P., (1965). Measurement of inbreeding from the frequency of marriages between persons of the same surname. Eugenics Quarterly, 12(4), 199–203.

Barrai, I., Scapoli, C., Beretta, M., Nesti, C., Mamolini, E., and Rodriguez–Larralde, A., (1996). Isonymy and the genetic structure of Switzerland. I: The distributions of surnames. Annals of Human Biology, 23, 431–455.

See Also

fIsonymyAll.

Examples

data(surnamesgal14)
surnamesgal14$pki2 <- (surnamesgal14$number / surnamesgal14$population)^2
result = fIsonymy(surnamesgal14$pki2, surnamesgal14$namuni)
result

data(namesmengal16)
namesmengal16$pki2 <- (namesmengal16$number / namesmengal16$population)^2
result = fIsonymy(namesmengal16$pki2, namesmengal16$namuni)
result

data(nameswomengal16)
nameswomengal16$pki2 <- (nameswomengal16$number / nameswomengal16$population)^2
result = fIsonymy(nameswomengal16$pki2, nameswomengal16$namuni)
result

OnomasticDiversity documentation built on May 29, 2024, 1:32 a.m.