What are the roles of Nature and the Supernatural in The Rime of the Ancient Mariner?

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Supernatural:

He holds him with his glittering eye –
The wedding-guest stood still,
And listens like a three-years' child:
The mariner hath his will.

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And some in dreams assured were
Of the spirit that plagued us so;
Nine fathom deep he had followed us
From the land of mist and snow.

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Alas! (thought I, and my heart beat loud)
How fast she nears and nears!
Are those her sails that glance in the sun,
Like restless gossameres?

Are those her ribs through which the sun
Did peer, as through a grate?
And is that woman all her crew?
Is that a Death? and are there two?

Nature:

“Listen, Stranger! Mist and Snow, / And it grew wond’rous cauld: / And Ice mast-high came floating by / As green as Emerauld.”

“At length did cross an Albatross, / Thorough the Fog it came