locational.Gini: Compute the locational Gini coefficient from regions -...

In PABalland/EconGeo: Computing Key Indicators of the Spatial Distribution of Economic Activities

Compute the locational Gini coefficient from regions - industries matrices

Description

This function computes the locational Gini coefficient as proposed by Krugman from regions - industries matrices. The higher the coefficient (theoretical limit = 0.5), the greater the industrial concentration. The locational Gini of an industry that is not localized at all (perfectly spread out) in proportion to overall employment would be 0.

Usage

locational.Gini(mat)

Arguments

mat	An incidence matrix with regions in rows and industries in columns

Author(s)

Pierre-Alexandre Balland [e-mail]

References

Krugman P. (1991) Geography and Trade, MIT Press, Cambridge (chapter 2 - p.56)

See Also

Hoover.Gini, locational.Gini.curve, Hoover.curve, Lorenz.curve, Gini

Examples

## generate a region - industry matrix
mat = matrix (
c (100, 0, 0, 0, 0,
0, 15, 5, 70, 10,
0, 20, 10, 20, 50,
0, 25, 30, 5, 40,
0, 40, 55, 5, 0), ncol = 5, byrow = T)
rownames(mat) <- c ("R1", "R2", "R3", "R4", "R5")
colnames(mat) <- c ("I1", "I2", "I3", "I4", "I5")

## run the function
locational.Gini (mat)

PABalland/EconGeo documentation built on Jan. 5, 2023, 8:40 a.m.