Using state-level variation in the timing of political reforms, we find that an increase in female representation in local government induces a large and significant rise in documented crimes against women in India. Our evidence suggests that this increase is good news, as it is driven primarily by greater reporting rather than greater incidence of such crimes. In contrast, we find no increase in crimes against men or gender-neutral crimes. We also examine the effectiveness of alternative forms of political representation: large scale membership of women in local councils affects crime against them more than their presence in higher level leadership positions.
That is from the interesting paper The Power of Political Voice: Women's Political Representation and Crime in India by Iyer et al. Via Clarence Nkengne Tsimpo.