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Overall, which street has denser housing around it? And which has more activity overall? By overall, I mean in its entirety, from the southern bounds I specify to the northern bounds I specify. New York Avenue (between Farragut Road and its northern end at Fulton Street only) or Rogers Avenue (from its southern end at Flatbush Avenue to its northern end at Bedford Avenue/Dean Street, and you can add in Bedford between Rogers/Dean and Fulton)?
Alternatively I suppose you can look at this as a comparison between the west side of Nostrand Avenue (between Fulton Street and Farragut Road) vs. the east side of Nostrand Avenue (between Fulton Street and Farragut Road), with Rogers being the street of focus on the west side and New York being the street of focus on the east side.
Overall I think it is a draw. I break it down into the following areas. These areas include the few blocks to the north as well as the few blocks to the south of the street specified. So for example the Avenue D area includes nearby parallel blocks like Newkirk Avenue and Foster Avenue, while the Empire Blvd area includes nearby parallel blocks like Sterling Street and Sullivan Place:
> means denser than, with respect to housing.
Avenue D: New York/east side of Nostrand > Rogers/west side of Nostrand
Church Avenue: Rogers/west side of Nostrand > New York/east side of Nostrand
Clarkson Avenue: Rogers/west side of Nostrand > New York/east side of Nostrand
Empire Blvd: Rogers/west side of Nostrand > New York/east side of Nostrand
St. John's Pl: New York/east side of Nostrand > Rogers/west side of Nostrand
Bergen Street: New York/east side of Nostrand > Rogers/west side of Nostrand
Fulton Street is far more commercial than residential, so I cannot say whether the housing here is denser west of Nostrand or east of Nostrand. But I would say there is more activity (pedestrian traffic and retail) to the west (by Bedford Avenue) than to the east (by New York Avenue and Marcy Avenue) of Nostrand along Fulton.
I would probably say, Rogers, especially in Crown Heights. In that neighborhood New York ave has more townhomes and low-rise buildings, whereas Rogers is more apartment buildings in most blocks.