It's the parking, duh, that prevents downtown LA from building good affordable housing projects. This is the single key reason why we have either a high rise luxury building (i.e. Apex, Watermarke, 717 Olympic), or Stucco buildings (i.e. Ava, Market Lofts, etc..). We're not getting nice in-between architecture because the parking minimums is killing development potential in LA. So when people wonder why we don't have more under construction..............blame the parking minimum. And here's the study for proof:
http://www.alexblock.net/blog/?p=2750
Ironically, the reason downtown LA flourished was Adaptive Reuse which required no more car parking on site for developments. We need a significant expansion of that law to all parts of downtown LA and reduction of parking minimums. Not everybody needs to drive. And if they want to, there's plenty of private garages that can start opening up and charging market rates.