first of all congratulations for a well played game, i've watched many games from players around 1300 and this one has clearly less blunders than what i expected. I'd say it's more you who played above your rating 1600 than him playing under his.
Your opening is ok, many people would criticize you choice of 5.Qxd4 instead of the usual Nxd4 but actually perfectly playable. Move 7 i would have retreated my queen (to d3 for example), since on principle bishops are a bit superior to knights especially in open positions like these, but that's not really a mistake, just a general strategic consideration.
Then you play energetically (8.e5!) and get a good position by move 12 with pressure on the d file, forcing him to enter complications with Nd5.
then you make your 1st big mistake : 16.Bxf6?, forgetting that it will open the 7th rank so his rook defends the d7 bishop when parrying the check.
The kind of oversight that easily happens OTB even to good players.
But even if there wasn't this tactical flaw, it's dubious on general principles to lose a time to snatch a pawn in such a tense and open position (especially with your king not castled yet). just let him lose time (and get a bad pawn structure) capturing your knight :
you should have played simple 16.Qd5+ directly. For example : 16...e6 17.Qxd7 Qxd7 18.Rxd7 fxg5 19.00 would have given you an excellent game.
After that mistake you still get 3 pawns vs 1 on the queenside but he is a bishop up, and since your pawns aren't advanced, his piece up gives him the advantage (but not a very big one, your pawns are dangerous)
then apart from a mutual oversight (see game notes), he gradually loses the thread, especially when uselessly leaving his f6 pawn en prise, and you play good, sensible chess, activating your pawn majority and bringing your king to the center. (no time for the endgame now! might come back to it later, although i'm not sure i like your decision to leave him take your 3 pawns to advance your pawn, i have to take a closer look)
[Event "Open invite"] [Site "http://www.redhotpawn.com"] [Date "2011.02.17"] [EndDate "2011.02.21"] [Round "?"] [White "kerbouchard1100"] [Black "MICHAEL ROBINSON"] [WhiteRating "1300"] [BlackRating "1552"] [WhiteELO "1300"] [BlackELO "1552"] [Result "1-0"] [GameId "8200410"] 1. e4 c5 2. Nb1c3 d6 3. Ng1f3 Ng8f6 4. d4 cxd4 5. Qd1xd4 Nb8c6 6. Bf1b5 Bc8d7 7. Bb5xc6 bxc6 8. e5 {! good move} dxe5 9. Nf3xe5 g6 10. Bc1g5 Bf8g7 11. Qd4c4{maybe Rd1 or even 000 here} O-O 12. Ra1d1 Nf6d5 13. Nc3xd5 cxd5 14. Qc4xd5 Bg7xe5 15. Qd5xe5 f6 16. Bg5xf6 {? better Qd5! directly} exf6 17. Qe5d5 Rf8f7 18. O-O Qd8c7 {?? leaving the a8 rook undefended!} 19. Rf1e1 {?? mutual blindness! Qxa8 a bit better} Bd7c6 20. Qd5d6 Qc7xd6 21. Rd1xd6 Ra8e8 22. Re1xe8 Bc6xe8 23. c4 Rf7e7 24. Kg1f1 a5 25. Rd6xf6 a4 26. Rf6b6 Kg8g7 27. b4 axb3 28. axb3 Re7c7 29. Kf1e2 Kg7h6 30. Ke2d3 Kh6g5 31. Kd3d4 Rc7f7 32. c5 { entering complications, not sure it's a good idea, f3 looks safer} Rf7xf2 33. c6 Be8xc6 34. Rb6xc6 Rf2xg2 35. b4 Rg2xh2 36. b5 Rh2b2 37. b6 h5 38. Kd4c5 h4 39. Rc6d6 Kg5h5 40. Kc5c6 h3 41. b7 g5 42. Kc6c7 g4 43. Rd6b6 Rb2xb6 44. Kc7xb6 Kh5h4 45. b8=Q g3 46. Qb8f4 Kh4h5 47. Qf4xg3 1-0
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