AWOL

Now this is something that I hadn’t really thought about: “More than 1,000 members of the British military have deserted the armed forces since the start of the 2003 Iraq war, the BBC has discovered.”
Anyone know what the figures are for the US armed forces? The nearest thing I could find to a real study is this, which suggests a much lower (proportional) rate of desertion than the British military is seeing. However it needs to be brought up to date.