REAT (version 3.0.2)

krugman.conc: Krugman coefficient of spatial industry concentration for two industries

Description

Calculating the Krugman coefficient for the spatial concentration of two industries based on regional industry data (normally employment data)

Usage

krugman.conc(e_ij, e_uj)

Arguments

e_ij

a numeric vector with the employment of the industry \(i\) in regions \(j\)

e_uj

a numeric vector with the employment of the industry \(u\) in region \(j\)

Value

A single numeric value (\(0 < K_{iu} < 2\))

Details

The Krugman coefficient of industry concentration (\(K_{iu}\)) is a measure for the dissimilarity of the spatial structure of two industries (\(i\) and \(u\)) regarding the employment in the \(j\) regions. The coefficient \(K_{iu}\) varies between 0 (no concentration/same structure) and 2 (maximum difference, that means a complete other spatial structure of the industry compared to the others). The calculation is based on the formulae in Farhauer/Kroell (2013).

References

Farhauer, O./Kroell, A. (2013): “Standorttheorien: Regional- und Stadtoekonomik in Theorie und Praxis”. Wiesbaden : Springer.

Nakamura, R./Morrison Paul, C. J. (2009): “Measuring agglomeration”. In: Capello, R./Nijkamp, P. (eds.): Handbook of Regional Growth and Development Theories. Cheltenham: Elgar. p. 305-328.

See Also

gini.conc, gini.spec, krugman.conc2, krugman.spec, krugman.spec2, locq

Examples

# NOT RUN {
E_ij <- c(4388, 37489, 129423, 60941)
E_uj <- E_ij/2
krugman.conc(E_ij, E_uj)
# exactly the same structure (= no concentration)
# }