a single numeric value with the employment of industry $i$ in region $j$
e_j
a single numeric value with the over-all employment in region $j$
e_i
a single numeric value with the over-all employment in industry $i$
e
a single numeric value with the over-all employment in all regions
Value
A single numeric value ($LQ$)
Details
The location quotient is a simple measure for the concentration of an industry ($i$) in a region ($j$) and is also the mathematical basis for other related indicators in regional economics (e.g. gini.conc()). The function returns the value $LQ$ which is equal to 1 if the concentration of the regarded industry is exactly the same as the over-all concentration (that means, it is proportionally represented in region $j$). If the value of $LQ$ is smaller (bigger) than 1, the industry is underrepresented (overrepresented). The function checks the input values for errors (i.e. if employment in a region is bigger than over-all employment).
References
Farhauer, O./Kroell, A. (2013): Standorttheorien: Regional- und Stadtoekonomik in Theorie und Praxis. Wiesbaden : Springer.