http://www.mediafire.com/download/r1j7ctt0gz5987s/duelsbones.ahf
I might have the name wrong but he is doing a luftberry....which is what I see 80-90% of all my duels I've had.
Your blowing it with your first turn into the vertical....your bleeding a ton of E (Not getting any angles) and he's just baiting you into a rope...which you kept falling for.He's letting you kill yourself following his spiral climb so aggressively.Your doing some sort of single immelmen followed by a lazy upward turn....I don't know your merge could use some work.
On your first turn you should have used lag pursuit to get position on his 6 instead of going for the crossing shot.In general you're always going for shots, even if you can't make them, instead of flying to position to set up a better shot.
If you have trouble visualizing lag pursuit just go to the TA with a buddy and turn airshow smoke on. When you merge fly to the end of your buddy's smoke trail.