How are Democracy and Gender Equality Related?

Check out this chart from The Economist:

Women enjoy the most rights in the strongest democracies and the least in the weakest, but it is also important to note the regional divisions on this chart. There is a concentration of Asian, Oceanic, Latin American and African countries that are both highly democratic and gender unequal. The Arab World and Western Europe lie roughly on opposing ends of the spectrum. This suggests that social and cultural attitudes are just as if not more important a factor in determining gender equality. So does this mean that the democratic system cannot be used to advance women’s rights? History seems to have proven to opposite. But clearly, there are more powerful forces at play.