LocationQuotient: (e_ri / e_r) / (e_i / e) for a regions x
industries matrix (REAT::locq); method = "difference" gives
e_ri/e_r - e_i/e. KrugmanIndex: K = sum |x_i/sum(x) -
r_i/sum(r)| and Hoover K/2. LqGini: Gini of location
quotients (REAT::gini.spec). HerfindahlIndex: HHI, its
normalised form, 1/H and the concentration ratio CR_k.
Identical to the Python arm morie.fn.econgeo.
Usage
LocationQuotient(E, method = "ratio")
KrugmanIndex(x, ref)
LqGini(x, ref)
HerfindahlIndex(x, k = 4)
Arguments
- E
Regions x industries employment matrix.
- method
"ratio" or "difference".
- x, ref
Employment vectors.
- k
Number of largest units in CR_k.
Value
Matrix, numeric or list.
References
Krugman, P. (1991). Geography and Trade. MIT Press.
Wieland, T. (2019). REAT: A regional economic analysis toolbox for R.
REGION 6(3), R1-R57.
Examples
LocationQuotient(rbind(c(10, 30), c(30, 30)))
#> [,1] [,2]
#> [1,] 0.625 1.2500000
#> [2,] 1.250 0.8333333
KrugmanIndex(c(10, 30, 60), c(30, 30, 40))$K
#> [1] 0.4
LqGini(c(10, 30, 60), c(30, 30, 40))
#> [1] 0.2745098
