Regionally, a home may be a general region, such as the south. Locally, this will be something on a much smaller scale such as your hometown. Globally, this will usually be a nation as your home.
Example -
My regional home is the south, my local home is Smallville, and my global home is the United States.
Hopefully, this helps! I'm a bit iffy on my answer, but I hope it satisfies you! =)