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Each pop above the first 10 increases tech cost by 2% so if you get to 35 pops and by doing so manage to increase your research output by more than 50% your are getting better, not as good as you would be if you get 50% more reaserch with 20 pops but still better than not growing at all.
Edit: Also remember that the things you research somhow need to be used to be worth anything. How good are bigger ship designs if you cant affort building or maintaing them? Why research a mining upgrade of 30% if replacing a lab with a mine would dobble your mining?
You need pops to have economy and you need economy to use your reseached techs.The mechanic encorrages you to keep expanding both econemy and research evenly.
If you go from 10 pops to 11, assuming the same research per pop for simplicity, you would gain 10% more research, and your cost would go from 100% to 102%, a 2% increase and clearly a net benefit.
If you go from 1000 to 1001 pops, your research increase by 0.1%, and the cost increase by ~0.096%, so basically at large pop numbers you still gain a little bit of research speed but it gets closer and closer to equalizing out.
So the conclusion is that you definitely want to expand a bit in the beginning, say up to your core world limit, but then you only want to expand if you can do so while keeping your research per pop efficient. Conquering an unhappy other race that give you crappy research per pop for example will be a net loss.
http://steamcommunity.com/sharedfiles/filedetails/?id=690408110
It's really not hard to accomodate for the growing cost.
Its just as bad on research to go wide in Civilization 5....
I am not saying to stop growing but I am saying don't grow only to grow... if your all about food and happiness and Fast breeding then you are definately growing at a faster rate then your research is...
Try to maintain research growth to match or exceed population growth...
If 1 extra person can produce more Science than the 2% penalty, then you should make that extra person. Eventually there will be a break point, tho.
One of the changes in my mod was I reduced the penalty from 2% to 1.5%, I did this since one of the upcoming changes in the next patch was to reduce this value. So I jumped the gun a little.
http://steamcommunity.com/sharedfiles/filedetails/?id=689857065
Here is a video on the idea behind it, watch starting at 7:10 or so
https://www.youtube.com/watch?v=UWImfFax8Ew&list=PL8dPuuaLjXtPNZwz5_o_5uirJ8gQXnhEO&index=24