Lily_Lancer
Deity
Assuming the first 5 citizens can work on 4-prod tiles, 5-10 work on 3-prod tiles, 10+ work on 2 prod tiles (as number of high-prod tiles are limited)
Assuming cities don't have IZ, but are radiated by an IZ with Factory & Oil Power Plant. (which is the case for most of the late-game cities)
Assuming cities have 7 amenity. City settled on 1-prod tile, with water mill. Assuming +4 other production bonuses (trade route/ campus/Holy Site/Harbor adj/ Encampment, etc. this may have various sources)
Population
4 (Ecstatic): (1+1+4*4+6+3+4)*1.2=37.2 production
6 (Happy): (1+1+5*4+3*1+6+3+4)*1.1=41.8 production
8 (Happy): (1+1+5*4+3*3+6+3+4)*1.1=48.4 production
10 (Content): (1+1+5*4+3*5+6+3+4)*1.0=50.0 production
12 (Content): (1+1+5*4+3*5+2*2+6+3+4)*1.0=54.0 production
14 (Content): (1+1+5*4+3*5+2*4+6+3+4)*1.0=58.0 production
16 (Displeased): (1+1+5*4+3*5+2*6+6+3+4)*0.9=55.8 production
18 (Displeased): (1+1+5*4+3*5+2*8+6+3+4)*0.9=59.4 production
20 (Displeased): (1+1+5*4+3*5+2*10+6+3+4)*0.8=56.0 production
Conclusion: 4-pop Cities yield about 65% of the production per turn compared with cities of 15+.
Assuming cities don't have IZ, but are radiated by an IZ with Factory & Oil Power Plant. (which is the case for most of the late-game cities)
Assuming cities have 7 amenity. City settled on 1-prod tile, with water mill. Assuming +4 other production bonuses (trade route/ campus/Holy Site/Harbor adj/ Encampment, etc. this may have various sources)
Population
4 (Ecstatic): (1+1+4*4+6+3+4)*1.2=37.2 production
6 (Happy): (1+1+5*4+3*1+6+3+4)*1.1=41.8 production
8 (Happy): (1+1+5*4+3*3+6+3+4)*1.1=48.4 production
10 (Content): (1+1+5*4+3*5+6+3+4)*1.0=50.0 production
12 (Content): (1+1+5*4+3*5+2*2+6+3+4)*1.0=54.0 production
14 (Content): (1+1+5*4+3*5+2*4+6+3+4)*1.0=58.0 production
16 (Displeased): (1+1+5*4+3*5+2*6+6+3+4)*0.9=55.8 production
18 (Displeased): (1+1+5*4+3*5+2*8+6+3+4)*0.9=59.4 production
20 (Displeased): (1+1+5*4+3*5+2*10+6+3+4)*0.8=56.0 production
Conclusion: 4-pop Cities yield about 65% of the production per turn compared with cities of 15+.