If I am playing for score, I build factories most everywhere but only a select few before Hoover. After that I need them for production, because with a lot of cities trade is simply not enough to buy everything you need per turn.
I hesitate to say this because I'm the junior here and you're a much more experienced player, but I'm going to have to respectfully disagree. More cities means more trade, and I think a smoothly running Power Democracy, after Automobile, can easily deliver enough freights every turn to rush everything, including freights and the development of new cities at a pace that is more than comfortable enough for high score games. I haven't done an estimate recently on expansion capabilities of a Power Democracy, but I seem to recall one of the experts, Andu, saying that he estimates a Power democracy could double it's number of cities and maintain at least a 2:1 engineer to city ratio and in the span of 10-15 turns. I'd love to see some discussion here from more players, but here's my take -
I'll do a little back of the envelope calculation here. Let's say you start with 14 size 8 cities and one size 23 SSC a few turns after automobile (this is normal for me on a big map in a landing game). You have two engineers for every city. Every turn you rush about 6-8 freights and 7-9 other things (engineers, improvements, WOWs). From this situation I typically have enough income to rush everything every turn and make a few thousand on top of that, so there's extra for other cities....I think that you could comfortably make three engineers every turn, with continual WLTP day growth, of course. These three engineers could go found another city which would begin immediate celebration and growth. Rush buying in this city is easily funded by freights from the other cities until it gets large enogh to bring in super cash by itself at a larger size and superhighways and airport in place, which my cities get VERY early. As sooon as a city has superhighways and airports and is at least size 8 or so freights become profitable, especially if demanded. The city needs a couple routes early anyway to celebrate at 30% Luxuries, typically. Furthermore, as a city grows more and more, it will eventually get to the point where it will build ONLY engineers and freight, after it has all needed improvements. I'll just throw out a rough number - I estimate that 20% of your cities can rush an engineer on any given turn. A new city requires about five engineers - three to run in and make it big enough for immediate celebrations, and two to be re-homed to it as it grows to maintain that critical 2:1 engineer to city ratio for terrain development. So I think that you could probably manage a city growth rate of 20% (Engineer production rate) * 0.2 ( five engineers per new city) = 4% or so, and that's counting rush buying everything every turn. That means a doubling time (of # of cities) of about 18 turns. So if you start with 15 cities, I'd guess you could probably get 30 cities 18 turns later, 60 cities 36 turns later, 120 cities 54 turns later, and 240 cities 72 turns later, bumping up against the maximum limit. I think we need Starlifter to chime in here - in my mind he's THE guy for Power Democracy expansion.
To summarize, with fifteen cities initially and a decent trade network I think that a 4% city growth rate, based on a 20% engineer production rate, can comfortably be sustained with continual rush-buying of everything in every city, obviating the need for factories. I'm getting interested enough in this to try this next GOTM - As soon as I get automobile I will see how much I can push the expansion envelope with a Power Democracy while doing my typical rush buy everything in every city every turn. I'm just beginning to master the Power Democracy, but am still a novice, so I'm open to discussion here - I wouldn't be surprised if I'm wrong. Can some of the other expansion experts chime in with their opinion on hyper-expansion, hyper trade, and rush-buying? I know that Starlifter develops Engineer-factory cities with production of >40, but I have a little different style (probably worse). I like my entire empire to be trade based after the freight start rolling.
I should add that I'm a little of a perfectionist and dislike pollution, so I prefer not to deal with factories and pollution - I'd rather have my cities get temples, colisseums, marketplaces, banks, Stock exchanges, Supermarkets, Superhighways, Airports, Aqueducts, and Sewer Systems (not in that order, of course). When they get big enough they get a mass transit. Other than that, they should just be pumping out engineers, freights, maybe a transport, and the occasional diplomat for zoom-to chaining or barbs or bribing. Every once in a while maybe a wonder.
Opinions?