LA is not denser than New York: true density measures
There has been this persistent myth floating around the Internet that Los Angeles is denser than New York (e.g., see the argument here and here). A variation on this myth has even worked its way into the Washington Post, which talked about dense Western sprawl (here). As someone who works on urbanization and the environment, I’ve known for a while that while these factoids are technically true, they don’t mean as much as the people using them think they mean. I finally got around to getting the appropriate data from the US Census for 2000, so I can show you all what I mean.
The simplest way one can measure density is this: one can take the number of housing units (for lots of theoretical reasons it’s more useful for planners to think about housing units rather than people… average household size in the US is around 2.6) in a region, and divide by the number of hectares in that region, and get a mean density in houses/hectare. Note that you have one number summarizing a whole region, which is just the mean density. This is problematic because there is a lot of variation in density within a region, and it’s definitely not a Gaussian distribution of variation (more likely a log-normal or exponential shape), so the mean is a fairly bad summary metric. A better metric would be the median. The best thing to do is calculate the actual distribution of density within the region. The figure below is the answer to the thought experiment, if I skydived into the region and landed in a hectare at random, how many houses would be in that hectare?
http://robertmcdonald.info/blog/comparison_area.html
As you can see, 88% of the time in the LA region, you’d land in a hectare with 0 or 1 houses, whereas in New York the figure is 70%. Note, however, that there are more hectares of 1-3 houses, 3-5 houses, and 5-7 houses in New York than in LA. One important problem with measuring density this simple way (houses/area) is that it is extremely sensitive to the boundaries of the region used. Many of the articles online discussing the myth that LA is denser than New York have used political boundaries, which are often not representative of the true boundaries of the urban area. For my calculation, I used the Census Bureau’s Consolidated Metropolitan Statistical areas, so at least there is some consistency in how I define metropolitan area. I also excluded areas of water or area of completely undeveloped land (parks, etc.) from the calculation. Still, the point is that using slightly different definitions of the urban region, these density figures could change.
There is another way to define density, more meaningful for people thinking about mass transit and walkable neighborhoods. What if you were to look up a random address in the phone book (assume it’s a complete phone book, listing all addresses) and go to that address? How many housing units are in the same hectare as that address?
http://robertmcdonald.info/blog/comparison_houses.html
As you can see, the picture is very different. The “average” house in LA is in a neighborhood of 10-15 homes/ha; 20% of houses fall in this category. The “average” housing unit in NY is in a neighborhood with more than 80 homes/ha; 27% of homes fall in this category. This kind of statistic becomes extremely important when considering the feasibility of mass transit, which (for light rail) works well above 40 homes/ha. Only 8% of houses are in such a neighborhood in LA, versus 32.6% of houses for NY. Even better, this way of measuring density is relatively insensitive to changes in the boundaries of the urban region.
To return to the “myth” of LA being denser than NY, there is some truth to it. The newer (far) suburbs of New York are indeed less dense than those in LA. LA has fewer really low density suburbs, and fewer high density neighborhoods. NY has some really low density suburbs, and some really high density neighborhoods.

