The SF situation is completely different. Padmapper shows studios ranging from 1400-1900 depending on your distance from the financial district, and areas really close (SOMA) have few openings, mostly 1-2 bedrooms in towers (3000+ easy).

Living outside the city isn't too bad, south of SF you can find 1 bedrooms for ~1200 if you don't mind a 30+ minute commute (traffic/train), or Oakland there's plenty of 1br/studios for ~1000, but you deal with higher crime and a social stigma that you live in Oakland.