Techweb reports that an unnamed market research firm (might be Gartner since it is mentioned later in the article) says that Smartphone shipments were up 75.5% in the first half of 2006.
The article says the report shows that North America is the only region where PDAs outsold Smartphones. Personally, I find that hard to believe even assuming that the popular Palm Treo line is considered a PDA instead of a smartphone.