FE 7-96, 8-87, 9-77 CG 67% GS 17%
A little background into what the purpose of this 'fatigue' system is. Many starters went deep into games during the 1930's, yet there is a stark difference between aces such as Slim Jones (who completed 92% of his game starts in 1934) and middle of the pack type pitchers. This new F/E model is designed to give real world game finishes to COTB baseball. Pitchers would get similar percentages of complete games as they actually did for their teams back then.
How it would work: Before the pitcher could start the 7th inning, he would have to pass a fatigue roll. In the example for McDonald, in the 7th, he would pass on rolls of 0 to 96. Then in the the 8th he would pass on roll of 0-87. In the 9th he would pass on a roll of 0-77. This is using 2 ten sided dice with an overall range of 0-99. The CG 67% indicates that McDonald completed 67% of the games he started in 1934. The GS 17% indicates that he made 17% of the pitching starts for his team that year.
There still would be an opportunity for pitchers to get yanked early. When the pitcher allows a certain number of runs, a penalty is imposed that reduces the chance that he can pitch deep into the game. After some early testing the penalties for runs allowed would be something like this:
4 runs allowed = -20 to F/E roll
5 runs allowed = -30, plus immediate F/E check. This immediate check is a one time occurrence, but another check would be required once 7 runs is allowed.
7 runs allowed = -50, plus immediate F/E check, plus a recurring check at the start of every inning as long as the original starting pitcher remains in the game.
10 runs allowed = -70, plus immediate F/E check, plus a recurring check at the start of every inning as long as the original starting pitcher remains in the game. It shouldn't come to this but want to include it so to ensure a pitcher isn't left in to give up 16 runs.
The penalties are applied to the FE value for the inning that applies to the check. Any check during the 7th inning or earlier using the FE 7 value as the baseline. A check occuring in the 8th uses the FE 8 value with any penalties applied to that.
Allowing 5 runs requires an early check (before the 7th) So a pitcher could get yanked in the 1st inning if he allowed 5 runs in the 1st. There should be this chance because I saw a game in 1973 where Nolan Ryan only lasted 2/3rd of an inning after issuing 5 runs. This early check is a one time thing, so if passed the next check isn't required until the start of the 7th inning. The penalty of -30 for allowing 5 runs would still apply for checks in the 7th, 8th and 9th.
Here is an example of a worst case scenario. Wester McDonald allows his 5th run in the 2nd inning. He is immediately required to do a FAT roll. You use his 7th inning value of 96-30 (the 5 run penalty) = 66. He passes this with a roll of 61. Still in the same inning he allows his 7th run. A new roll is performed using 96-50 (the 7 run penalty)= 46. He passes this check with a roll of 34. So he makes it through the 2nd inning. In order to start the 3rd he must pass another check with the 7 run penalty. Once again he must roll a 46 or less. He rolls a 26 so can pitch the 3rd. With 2 outs he allows his 8th run and another roll is required. This time he rolls a 68 and must be removed immediately.
Now 85% of the time you would only need 3 or maybe 4 rolls a game. The occasional crazy game might require rolls similar to the example above. In early testing I found it only adds another minute to game times.
Exemptions to FE rolls
A pitcher who has only allowed 1 run or less would be exempt from the 7th and 8th inning rolls but would still be subject to the 9th inning FE check.
A pitcher who has only either a shutout or a no hitter going is exempt from a 9th inning FE check.