atreas, I'm looking forward to the results of your investigation. My initial suspicion is that farms will be best for cities that have a sudden big jump in happiness like the 8 -> 16 cap that you cite, rather than the gradual increase due to bringing individual luxuries online or the gradual addition of troops if running hereditary rule.
And the optimal timing of the granary probably depends on many factors. A couple that I can think of are: 1) do I need this city to do something to support the empire *now* (I'm thinking units here), 2) am I far from the pop cap and have many more good tiles for this city to work.
The best use of poprushing probably depends on what you're going to poprush. I suspect it's best to poprush when you can get rid of half your city's population to finish the building (or unit) after putting one turn of work into it. So on normal speed, poprush a 60-hammer granary at size 4 on the turn after you start it. (Unless your leader traits give you cheap granaries, in which case you do it at size 2!)
Unless your happiness limit is way above where you're at while poprushing, you'll probably want some mined hills to work while your citizens get over your cruel oppression. No need to use farms to grow future unhappy people. Unless their unhappiness is about to expire.
And the optimal timing of the granary probably depends on many factors. A couple that I can think of are: 1) do I need this city to do something to support the empire *now* (I'm thinking units here), 2) am I far from the pop cap and have many more good tiles for this city to work.
The best use of poprushing probably depends on what you're going to poprush. I suspect it's best to poprush when you can get rid of half your city's population to finish the building (or unit) after putting one turn of work into it. So on normal speed, poprush a 60-hammer granary at size 4 on the turn after you start it. (Unless your leader traits give you cheap granaries, in which case you do it at size 2!)
Unless your happiness limit is way above where you're at while poprushing, you'll probably want some mined hills to work while your citizens get over your cruel oppression. No need to use farms to grow future unhappy people. Unless their unhappiness is about to expire.