lodging vs shelter

lodging and shelter both are nouns.

Word	Noun	Adjective	Verb	Adverb
lodging	Yes	No	No	No
shelter	Yes	No	Yes	No

As nouns, shelter is a hyponym of lodging; that is, shelter is a word with a more specific, narrower meaning than lodging:

lodging (noun)	shelter (noun)
the act of lodging	a structure that provides privacy and protection from danger
structures collectively in which people are housed	protective covering that provides protection from the weather
the state or quality of being lodged or fixed even temporarily	temporary housing for homeless or displaced persons
	a way of organizing business to reduce the taxes it must pay on current earnings
	the condition of being protected

lodging (verb)	shelter (verb)
	invest (money) so that it is not taxable
	provide shelter for