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Rebbiv
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Generally, the great relief pitchers started out as starters and then became closers. The following is the the list of career saves leaders and games started in the minors (not including rookie ball or after first season in MLB).
1. Mariano Rivera 66 of 80 games (82.5%)
2. Trevor Hoffman 12 of 93 games (12.9%)
3. Lee Smith 70 of 117 games (59.8%)
4. John Franco 51 of 75 games (68.0%)
5. Billy Wagner 70 of 70 games (100.0%)
6. Dennis Eckersley 66 of 66 games (100.0%)
7. Jeff Reardon 33 of 44 games (75.0%)
8. Troy Percival 0 of 126 games (0.0%)
9. Randy Myers 94 of 96 games (97.9%)
10. Joe Nathan 46 of 59 games (78.0%)
11. Rollie Fingers 85 of 92 games (92.3%)
12. John Wetteland 74 of 77 games (96.1%)
13. Francisco Cordero 21 of 91 games (23.1%)
14. Roberto Hernandez 106 of 107 games (93.5%)
15. Jose Mesa 163 of 191 games (85.3%)
16. Todd Jones 60 of 126 games (47.6%)
17. Rick Aguilera 50 of 51 games (98.0%)
18. Robb Nen 62 of 66 games (93.9%)
19. Tom Henke 14 of 100 games (14.0%)
20. Rich Gossage 32 of 35 games (91.8%)
21. Francisco Rodriguez (K-Rod) 30 of 34 games (88.2%)
22. Jeff Montgomery 44 of 180 games (24.4%)
23. Doug Jones 101 of 141 games (71.6%)
24. Jason Isringhausen 73 of 74 games (98.6%)
25. Bruce Sutter 2 of 107 games (1.9%)
Aside from Troy Percival and Bruce Sutter, everyone else where converted to reliever/closer after being a starter.
2013 Top 10 in Saves
t1. Craig Kimbrel 0 of 71 games (0.0%)
t1. Jim Johnson 98 of 104 games (94.2%)
3. Greg Holland 7 of 67 games (10.4%)
4. Mariano Rivera 66 of 80 games (82.5%)
t5. Joe Nathan 46 of 59 games (78.0%)
t5. Rafael Soriano 60 of 60 games (100.0%)
7. Addison Reed 0 of 43 games (0.0%)
t8. Grant Balfour 24 of 54 games (44.4%)
t8. Sergio Romo 24 of 97 games (24.7%)
t8. Aroldis Chapman 13 of 39 games (33.3%)
Even I will admit the "trend" is to draft and develop closers as "non-starters". I am not sure it bodes well for long term success.
1. Mariano Rivera 66 of 80 games (82.5%)
2. Trevor Hoffman 12 of 93 games (12.9%)
3. Lee Smith 70 of 117 games (59.8%)
4. John Franco 51 of 75 games (68.0%)
5. Billy Wagner 70 of 70 games (100.0%)
6. Dennis Eckersley 66 of 66 games (100.0%)
7. Jeff Reardon 33 of 44 games (75.0%)
8. Troy Percival 0 of 126 games (0.0%)
9. Randy Myers 94 of 96 games (97.9%)
10. Joe Nathan 46 of 59 games (78.0%)
11. Rollie Fingers 85 of 92 games (92.3%)
12. John Wetteland 74 of 77 games (96.1%)
13. Francisco Cordero 21 of 91 games (23.1%)
14. Roberto Hernandez 106 of 107 games (93.5%)
15. Jose Mesa 163 of 191 games (85.3%)
16. Todd Jones 60 of 126 games (47.6%)
17. Rick Aguilera 50 of 51 games (98.0%)
18. Robb Nen 62 of 66 games (93.9%)
19. Tom Henke 14 of 100 games (14.0%)
20. Rich Gossage 32 of 35 games (91.8%)
21. Francisco Rodriguez (K-Rod) 30 of 34 games (88.2%)
22. Jeff Montgomery 44 of 180 games (24.4%)
23. Doug Jones 101 of 141 games (71.6%)
24. Jason Isringhausen 73 of 74 games (98.6%)
25. Bruce Sutter 2 of 107 games (1.9%)
Aside from Troy Percival and Bruce Sutter, everyone else where converted to reliever/closer after being a starter.
2013 Top 10 in Saves
t1. Craig Kimbrel 0 of 71 games (0.0%)
t1. Jim Johnson 98 of 104 games (94.2%)
3. Greg Holland 7 of 67 games (10.4%)
4. Mariano Rivera 66 of 80 games (82.5%)
t5. Joe Nathan 46 of 59 games (78.0%)
t5. Rafael Soriano 60 of 60 games (100.0%)
7. Addison Reed 0 of 43 games (0.0%)
t8. Grant Balfour 24 of 54 games (44.4%)
t8. Sergio Romo 24 of 97 games (24.7%)
t8. Aroldis Chapman 13 of 39 games (33.3%)
Even I will admit the "trend" is to draft and develop closers as "non-starters". I am not sure it bodes well for long term success.