Earlier quoted context omitted.
Here's an interesting comparison. New York City's population density is 56% higher than San Francisco's, and the average height of a building in New York City is only 6.8 stories (in spite of skyscrapers pushing up the mean). https://en.wikipedia.org/wiki/List_of_United_States_cities_b... http://www.sunilmishra.in/2012/07/05/average-building-height...
Do you happen to know how many units the largest residential building in NYC has? It would be interesting to know the minimum number of buildings needed to cover the 200k unit deficit. [edit] Thanks for all the replies! So it looks like we are talking about a minimum of hundreds of buildings to be torn-down and rebuilt taller. That seems unlikely to happen in SF proper.
But you don't need tons of high-rises. Having everything be free-standing buildings is the larger problem. Blocks of mid-rises is what drives density in places like Paris: https://agingmodernism.wordpress.com/category/sarcelles.