I started all nations with even scales other than luck, putting all remaining points into Dominion with an awake pretender, most were 9-10 Dom. I did not look at them until the end, didn't make PD or build anything, and didn't recover lost provinces.
After 20 turns running, starting with 9 provinces -
Arcoscephale - 3 Luck
Provinces left - 9
Total gold - 22709
Total gems - 169
Heroes gained - 0
Ermor - 3 Luck
Provinces left - 7
Total gold - 19155
Total gems - 146
Heroes gained - 0
Ulm - 2 Luck
Provinces left - 9
Total gold - 24041
Total gems - 221
Heroes gained - 1
Marverni - 2 Luck
Provinces left - 9
Total gold - 18935
Total gems - 169
Heroes gained - 1
T'ien Chi - 1 Luck
Provinces left - 8
Total gold - 17026
Total gems - 175
Heroes gained - 2
Abysia - 1 Luck
Provinces left - 8
Total gold - 14653
Total gems - 174
Heroes gained - 0
Caelum - Even Scale
Provinces left - 8
Total gold - 19697
Total gems - 145
Heroes gained - 1
C'tis - Even Scale
Provinces left - 8
Total gold - 14789
Total gems - 170
Heroes gained - 0
Pangaea - 1 Misfortune
Provinces left - 9
Total gold - 14713
Total gems - 208
Heroes gained - 0
Agartha - 1 Misfortune
Provinces left - 8
Total gold - 21828
Total gems - 138
Heroes gained - 0
Tir' na n'Og - 2 Misfortune
Provinces left - 7
Total gold - 14998
Total gems - 185
Heroes gained - 0
Fomoria - 2 Misfortune
Provinces left - 6
Total gold - 20248
Total gems - 119
Heroes gained - 1
Niefelheim - 3 Misfortune
Provinces left - 8
Total gold - 16096
Total gems - 199
Heroes gained - 0
R'lyeh - 3 Misfortune
Provinces left - 6
Total gold - 14488
Total gems - 178
Heroes gained - 0
Totals -
Luck Group:
Provinces - 50
Gold - 116519
Gems - 1054 (Net 334 after 720 base income at capital)
Heroes - 4
Control Group:
Provinces - 16 (x3 = 48)
Gold - 34486 (x3 = 103458)
Gems - 315 (x3 = 945) (Net 75 after 240 base income)
Heroes - 1 (3)
Misfortune Group:
Provinces - 44
Gold - 102371
Gems - 927 (Net 207 after base income)
Heroes - 1
Disparity between Luck/Misf over 20 turns (per nation)=
Provinces Lost = 1 (5% greater chance)
Gold Income = 14148 (2358/nation, ~120/turn including territorial losses)
Gem Income = 127 (21/nation, ~1/turn including random lvl 0 sites in starting provinces)
Heroes = 3 (.5/nation, not statistically relevant to known formula due to small sample size)
I really think I might run more tests later, using all EA nations at each level of Luck/Misf, 1 at a time. I'll have to be bored to do it, but that happens plenty often enough.
