Is LA more dense than New York?

This is an argument against Robert Bruegmann's recent report, "LA the King of Sprawl, Not at All."

Traffic congestion and overcrowding are daily reminders that a lot of people live in Los Angeles. This allows the claim that the city of Los Angeles is more dense than New York City to fall on willing ears. There’s only one problem. The city of Los Angeles is NOT more dense than New York City. A recent study by UCLA urban planning students Sandra O’Flaherty, Andrea Osgood, and Lara Regus sheds some light on the facts and how confusion arises from various definitions of density.