If anyone wants a convincing rebuttal to the "women's fear in public spaces is disproportionate to the risk they face, particularly in the context of male-on-male violence" fallacy, Chapter 2 of "Invisible Women" by Caroline Criado Perez is eye-opening.
There's also a highly convincing take-down of the domestic violence fallacy somewhere by a statistician(?) who breaks down the complex realities behind the numbers in the research, which I can't find right now.
In ways, it is complicated. But in other respects, it's very simple indeed. As Self has explained so clearly above, given the extraordinary strength differential and the character of the attacks that women face, it shouldn't be hard to understand.
I do find the "saviour argument" - that it's the men who rush in to save women's lives from other violent men - especially interesting. Yes, it's true, to a point... But it's also itself an excellent example of the problems and limitations of patriarchy - another condemnation of it, in fact.
To get the obvious out of the way, without male violence, it wouldn't be necessary - at least to the same degree. Also, who's to say that women wouldn't respond in kind, given proportionate strength? You see the archetype of male heroism - strength and explosive action - reflected in women's defence of vulnerable children in moments of crisis. The biological imperative? Maybe, but maybe that explains the men defending women, too!
But above all, it frustrates me no end that the male heroic ideal disguises the fundamental truth that courage is, itself, culturally constructed. To me, the stoical endurance of a woman protecting her children from a violent partner as she plans her escape, living in constant fear of extreme violence for hours, days and weeks in some way transcends the more conventional courage of the man who, powered by adrenaline, testosterone and ideals of masculinity, rushes into the fray to hit the headlines and win the medals.
This isn't to "do down" that man - thank goodness for him, in so many even recent cases I can think of - but just to say, it's very, very hard to see clearly, living in a world that's shaped by, and celebrates, the male body as subject and female as object. In our physical realities, women will always be constrained by their proportionate weakness, regardless of the degree to which an individual recognises or acknowledges this; it's only the fairly fragile construct of societies (laws and social contracts - hence the "obsession" with toilets!) that enable our equality. And the cultural air we breathe has it that man is active and woman is passive, and dismisses woman's stoical endurance of physical vulnerability and secondary status as natural and necessary, as opposed to a very real courage of its own kind.