OasisR (version 2.0.1)

Atkinson: A function to compute Atkinson segregation index

Description

The spatial version of Atkinson inequality index is derived from Lorenz curves. It allows to decide wich part of the curve contribute more to the index, by choosing the value of the shape parameter, delta.

Usage

Atkinson (x, delta = 0.5)

Arguments

x

- an object of class matrix (or which can be coerced to that class), where each column represents the distribution of a population group, within spatial units. The number of columns should be greater than 1 (at least 2 population groups are required). You should not include a column with total population in each unit, because this will be interpreted as a group.

delta

- a inequality aversion parameter, by default equal to 0.5, varying from 0 to 1.

Value

a numeric vector containing the Atkinson's segregation index value for each population group

References

James, D. and K. E. Taeuber (1985) Measures of Segregation. Sociological Methodology 15, pp. 1-32

See Also

One-group evenness indices: ISDuncan, Gini, Gorard, HTheil, 'ISWong, ISMorrill

Between groups dissimilarity indices: DIDuncan, Gini2, DIMorrill, DIWong

Examples

# NOT RUN {
x <- segdata@data[ ,7:8]
Atkinson(x) 
Atkinson(x, 0.1)
Atkinson(x, delta = 0.9)
# }