What is the meaning of the word "local"?

Definitions:

affecting only a restricted part or area of the body adjective
- local anesthesia
of or belonging to or characteristic of a particular locality or neighborhood adjective
- local customs
public transport consisting of a bus or train that stops at all stations or stops noun
- the local seemed to take forever to get to New York
relating to or applicable to or concerned with the administration of a city or town or district rather than a larger area adjective
- local taxes