Calculating the Banwell index:
The index compares the frequency and intensity of
a surname at the national level with the frequency
at the local level, for example a parish. So if a
given surname was calculated to be .1% of the
national population and .7% of a parish population,
the index would be .7 / .1 = 7, or 7 times as intense
at the local level. Typically when the Banwell index
is mapped, a core
area will emerge. As you move away from the core, the
values will decline. Geographers refer to this as distance
decay.
Areas of high intensity can assist in identifying a
surname’s homeland. It can take generations for core
areas to develop. Using census substitutes or historic
data sources it may be possible to extend the time frame
back to the early 1600’s and the Plantation of Ulster.
Surnames based on occupations or personal names can
have multiple core areas. It is common to find multiple
origins in Ulster resulting from multiple migration
streams. Typically Ulster will have 3,4,5, core areas for a
given surname, while in Scotland there tend to be fewer
core areas.