It is my understanding that the bulk of the taking of deer on Long Island is done through the BWMANH organization (
http://www.bwmanh.org/), although there may be participants not associated with BWMANH who take deer with permission of landowners where the tree stand is placed.
The program was begun in 1996 to address the overpopulation of deer on Long Island. The preferred term is "deer reduction" rather than "hunting." A minimum of one acre of land is required to qualify a property to be used in the program, although two abutters providing permission with a total area meeting the minimum can make their properties available. The landowner can impose any restrictions on how the property can be used for the purpose, and of course the state has is own rules.