First, there is no such thing as the demand for New York State's wood products. Instead, there are markets for timberland, logs and chips, market pulp, lumber, furniture, and what not. Few consumers, if any, ever look at a pine board to see whether it was sawn in New York, Quebec, or Maine. Or even New Zealand, for that matter. Industrial users pay a good deal of attention to technical specs and supplier reliability.
Most wood products serve mature markets.
Market growth is slow, and some markets are in declining stages as new competing products or production regions take share from established areas. So New York is a major consumer of wood products and will continue to be so in the future. This depends on the product. For coated papers, it might be Maine or Michigan, with emerging competitors in Canada and Georgia. For furniture, it might be North Carolina or Taiwan.