Professor Jayne Svenungsson is the latest in a line of people to quit or to be forced off the 18-member board of the Swedish Academy since the scandals broke last year.
Svenungsson said she wanted to focus on her full-time job as a university theology professor in Lund.
This year's literature prize has been postponed until 2019 after a scandal at the academy to do with alleged corruption and links to a convicted rapist.
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