Boston and Washington, D.C., hotels took a bigger Sandy-related hit than New York City in terms of lost occupancy and revenue, according to hotel-data provider TravelClick. Based on the real-time hotel bookings aggregated by TravelClick, demand fell by 20 percent year-over-year in Boston as a result of the storm, and by 22 percent in Washington, D.C. New York City suffered only a 6 percent drop in demand. Bookings in all three cities made through global distribution systems -- which essentially represents business travel — were hit the hardest, dropping 50 percent vs. the same time last year. Reservations made by phone or walking in, however, increased by 30 percent vs. last year -- likely the result of last-minute emergency bookings. The data is based on hotels that participate in TravelData's program, representing approximately 67,000 rooms in New York City, 32,000 rooms in Boston and 74,000 rooms in Washington, D.C.