Ms. Park Geun Hye has eked out a victory in South Korea's presidential election. The conservative candidate narrowly bested progressive rival Moon Jae In in a contest whose outcome was not apparent until the votes were counted.

Her win is an important moment for her country, not only because she is South Korea's first female leader but also because of her pedigree — she is the daughter of assassinated dictator President Park Chung Hee. Her return to the Blue House marks a closing of the circle on her father's reign.

The new president faces many challenges, and key among them is repairing relations with Japan.