New York City has started a small program that could help address the need for housing in the city:

New York City just unveiled its newest effort, which will hand 15 homeowners up to $395,000 to build an additional apartment. This could mean an extra unit in a garage, basement, or attic, or a tiny home in the backyard. The idea is to boost housing density in a city in desperate need of new housing.

New Yorkers can apply online for the funding, but high-income residents aren’t eligible — the income limit for a family of four is $232,980, the New York Times reported. And the ADUs that are built will have a limit on rent: a one-bedroom can’t be rented for more than $2,600.

The city’s department of housing preservation and development on Tuesday unveiled the “Plus One ADU” pilot program, similar to a state-wide initiative with the same name that has doled out tens of millions of dollars to help homeowners across New York State build ADUs in their backyards…

The effort is part of the city’s sweeping new housing reform proposal, which seeks to pave the way for 100,000 new homes in the city by encouraging conversions of commercial buildings into residential, boosting density near mass transit, and reducing space devoted to parking. The proposal also aims to legalize ADU construction across much more of the city.

Adding 100,000 units would be helpful as the city, like many major cities, needs lots and lots of units to provide more housing options and address housing costs. But, how quickly can these units be added and how much can they ease the housing issues? It would be worth looking at the math on this; at what point do the government funds lead to long-term savings? Hopefully, this is part of a comprehensive strategy that tries to add housing units in multiple ways.

Not all New York City is as dense as Manhattan but it is a pretty dense American city. How dense are city residents willing to go? Like many cities, there are different clusters of housing units in different neighborhoods. Adding a housing in basements or backyards can only happen in certain places and these changes would add residents. ADUs might be less visible than other means of providing more housing units – for example, high-rises would not be welcome in many residential neighborhoods – but Is there a point where residents feel there are enough ADUs?