It really doesn't need a source. If Venice takes too much water from an aquifer then subsidence is unavoidable. The city is sitting on top of a sponge, after all. This is true for any city that's not built on bedrock (which I believe includes half of Manhattan and Miami. NYC of course draws from the Hudson)
Anyway, as the paper states the subsidence exasperates rising sea levels.
NYC's primary water supply comes from the Catskills, not from local aquifers or local riverine supplies (the Hudson River is too salty around Manhattan to draw from).