[cabalamat]

> Share of homelessness due to an abusive relationship + share of homelessness due to drugs + share of homelessness for all other reasons = 1.

No, because someone can be homeless for multiple reasons.

[thaumasiotes]

I already acknowledged this in a cousin comment. As long as they can also be homeless for a single reason, the statements are not independent. A population of women who are homeless due to domestic abuse, but not for any other reason, simultaneously drives the share of women-homeless-due-to-domestic-abuse up and the share of women-homeless-for-reasons-other-than-domestic-abuse down.