An application of the gravity model to the interactions of failed states.
As an example, let us estimate this for Afganistan Pakistan using the failed state index for 2013 and the distance between Karachi and Kabul (in 1,000 km).
Afg = 106.7
Pak = 102.9
distAP = 1.09176
The FSI should be normalised using z-scores.
mean = 70.5
stDev = 23.5
AfgZ <- (Afg - mean)/stDev
PakZ <- (Pak - mean)/stDev
AfgZ
## [1] 1.54
PakZ
## [1] 1.379
Now we estimate the index:
IndAP <- (Afg * Pak)/distAP
IndAP
## [1] 10057
Input the data
Fin = 18
Swe = 19.7
distFS = 0.3959
The FSI should be normalised using z-scores.
FinZ <- (Fin - mean)/stDev
SweZ <- (Swe - mean)/stDev
FinZ
## [1] -2.234
SweZ
## [1] -2.162
Estimate the index
IndFS <- (Fin * Swe)/distFS
IndFS
## [1] 895.7