From the just released report from Guttmacher
Notably, abortion rates are similar in countries where abortion is highly restricted and where it is broadly legal: The abortion rate is 37 per 1,000 women in countries where abortion is prohibited or permitted only to save the life of the pregnant woman, and 34 per 1,000 women in countries where abortion is not restricted as to reason. Legal restrictions do not eliminate abortion. Rather, they increase the likelihood that abortions will be done unsafely, as they compel women to seek clandestine procedures. Indeed, abortion tends to be safer in countries where it is broadly legal and in countries with a high gross national income.