Which preposition to use with outdoors

of Occurrences 1%

The great outdoors of Nevada is not kind to such as these, and Casey had too lately suffered to think with easy-going optimism that they would manage somehow.

through Occurrences 1%

There was the Gloria who was the product of her mother's teaching and pampering; there was that other Gloria who was the true daughter of a pioneer stock, a girl linked to the city through tradition, bound to the outdoors through instinct.

with Occurrences 1%

When she came into the room, she seemed to bring the outdoors with her, there was such sunshine and fresh air in the cheeriness of her greeting.

Which preposition to use with  outdoors