Futurehermit, as I see it the problem with your initial analysis was that you, in terms of my science equation, simply added up all the values of S in all your cities expecting that to give you a useful rate for research. That doesn't happen in the early or middle game.
Then other posters criticised your approach and you adapted your analysis to include B. So now you're thinking in terms of S * B and that is an improvement . I want to convince you to adopt the full generalised solution and then all will suddenly become clear as the scales fall off your eyes
Let me restate my equation :
Science = (C * R + S) * B
This equation is hard to apply directly to a game in a theoretical way which is why so many people find it hard to argue the points and get confused about how the numbers relate to each other. The values of C will vary from city to city and will change over time as the city pop grows and works more tiles and as cottages mature and as trade routes develop. The value of R will vary as you expand your empire by settlement and conquest and then take action to increase effiency. And you will be building libraries, monastries and so on to boost the science output in your key cities. So is it all too complicated to analyse?
No. Using Binary Research as advocated by Zombie can help us understand the complex situations very well and to compare how a specialist economy is doing versus a cottage based one. Let me explain that by an example from my game at 200 AD. Simply switch the science slider to 100% and 0% and record the values.
At 100% and (0% ) research my Empire gives (taken from the finacial advisor)
Research 130 (36)
Gold 0 (59)
Expenses 17 (17)
Income -17 (+42)
And my 4 cities give the following research (taken from the cities screen)
100% 88, 27, 13, 1
0% 22, 7, 7, 0
From this you can tell that my capital is contributing more than half the science output and that it has a good value of B. Furthermore the second and third cities are running 2 specialists and only a library. The 4th city is very new and only has an obelisk at present. You can tell that the second city has a small but nice commerce output that is higher than the output from 2 specialists (without Representation) and would equal it even with.
A cottage economy would have higher commerce and hence more research at 100% but almost zero at 0% and that is the primary difference at this stage between the 2 types of economy. Cottage economies are much more affected by the value of R.
At 200 AD in my game I had reached an interesting point where an important decision had to be made. My 3rd GS had just appeared and I had the option of settling him in my capital to increase my value of S there by 6. Alternatively I could move him to my second city and increase the value of B there from 25% to 75%. But instead I chose to cash him in to research Philosophy (worth 1232 beakers and showing 10 turns of research) That founded Taoism in my 3rd city and gave me a missionary...who was sent to my capital and allowed me to build a Taoist monastry (a few turns later) to increase B from 85% to 95% thereby further boosting long term research .
Then other posters criticised your approach and you adapted your analysis to include B. So now you're thinking in terms of S * B and that is an improvement . I want to convince you to adopt the full generalised solution and then all will suddenly become clear as the scales fall off your eyes
Let me restate my equation :
Science = (C * R + S) * B
This equation is hard to apply directly to a game in a theoretical way which is why so many people find it hard to argue the points and get confused about how the numbers relate to each other. The values of C will vary from city to city and will change over time as the city pop grows and works more tiles and as cottages mature and as trade routes develop. The value of R will vary as you expand your empire by settlement and conquest and then take action to increase effiency. And you will be building libraries, monastries and so on to boost the science output in your key cities. So is it all too complicated to analyse?
No. Using Binary Research as advocated by Zombie can help us understand the complex situations very well and to compare how a specialist economy is doing versus a cottage based one. Let me explain that by an example from my game at 200 AD. Simply switch the science slider to 100% and 0% and record the values.
At 100% and (0% ) research my Empire gives (taken from the finacial advisor)
Research 130 (36)
Gold 0 (59)
Expenses 17 (17)
Income -17 (+42)
And my 4 cities give the following research (taken from the cities screen)
100% 88, 27, 13, 1
0% 22, 7, 7, 0
From this you can tell that my capital is contributing more than half the science output and that it has a good value of B. Furthermore the second and third cities are running 2 specialists and only a library. The 4th city is very new and only has an obelisk at present. You can tell that the second city has a small but nice commerce output that is higher than the output from 2 specialists (without Representation) and would equal it even with.
A cottage economy would have higher commerce and hence more research at 100% but almost zero at 0% and that is the primary difference at this stage between the 2 types of economy. Cottage economies are much more affected by the value of R.
At 200 AD in my game I had reached an interesting point where an important decision had to be made. My 3rd GS had just appeared and I had the option of settling him in my capital to increase my value of S there by 6. Alternatively I could move him to my second city and increase the value of B there from 25% to 75%. But instead I chose to cash him in to research Philosophy (worth 1232 beakers and showing 10 turns of research) That founded Taoism in my 3rd city and gave me a missionary...who was sent to my capital and allowed me to build a Taoist monastry (a few turns later) to increase B from 85% to 95% thereby further boosting long term research .