Comment briefly on the element of magic in The Tempest?

Prospero himself causes events like the shipwreck by using magic and without which the play could not exist; in these powers of manipulation, he performs the functions of the author from within the work. Some essayists have gone as far as to claim that Prospero is a mirror of Shakespeare as a writer because of how he fulfills the author function, though there seems to be little supporting evidence for this claim.