Rank mobility index

In economic geography, the rank mobility index (RMI) is a measure of a city's change in population rank among a group of cities.

Formally

RMI=\frac{R_1-R_2}{R_1+R_2},

where

R₁ = city's rank at time 1
R₂ = city's rank at time 2

A RMI value must be between −1 and 1. A RMI of 0 indicates no change.

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