OK guys, I’ve cracked it – the elusive complete and exact formula for industrial score with the 1.04 patch (I must thank Jaeger74 and politruk who had previously posted on the forum suggestions for elements of the formula which though were close, were not quite correct).
Here is the formula:
Ind Score = 200*(average railroad level) + (number of techs) + 2*(number of factory POPs) + 5*(average RGO output)
Average railroad level equals the sum of all of your railroads (where experimental railroad = 1, early railroad = 2, iron railroad = 3, steel railroad = 4 and integral railroad = 5), divided by the total number of provinces. The ONLY provinces that count in this calculation are those that are on the same continent as your capital (regardless of whether they are in a state or a colony).
Average RGO output equals the sum of the outputs from each of your RGOs, divided by the total number of provinces. Again, the ONLY provinces that count in this calculation are those that are on the same continent as your capital (regardless of whether they are in a state or a colony).
Number of factory POPs equals the total number of clerks and craftsmen that are currently working in all of your factories (regardless of where in the world those factories are located – they CAN be on a different continent to your capital). Unemployed clerks and craftsmen do not count in this calculation.
Number of techs equals the total number of techs your nation currently possesses.
Note: the industrial score is always rounded down (ie truncated) by the game engine.
Example Calculation: Switzerland in Oct 1899
I have taken this example calculation directly from one of my old save games. In it, (AI played) Switzerland has its usual 9 provinces, all of which are on the same continent (Europe) as its capital Bern. Switzerland currently possesses 20 Army techs, 23 Navy techs, 20 Commerce techs, 22 Culture techs and 23 Industrial techs, for a combined total of 108 techs. Switzerland has the following railroads and RGOs:
Neuchatel – Steel RR, RGO producing 1.06 coal per day
Basel – Steel RR, RGO producing 1.11 fruit per day
Zurich – Experimental RR, RGO producing 1.13 cattle per day
Luzern – Steel RR, RGO producing 0.81 timber per day
Bern – Steel RR, RGO producing 0.31 iron per day
Geneve – Early RR, RGO producing 0.78 grain per day
Sitten – Steel RR, RGO producing 1.06 coal per day
Bellinzona – Experimental RR, RGO producing 1.51 wool per day
Chur – No RR, RGO producing 0.82 cattle per day
Total RR level = 5 x Steel (ie level 4) RR + 1 x Early (ie level 2) RR + 2 x Experimental (ie level 1) RR = 5*4 + 1*2 + 2*1 = 24 total RR level.
Total RGO output = 1.06 + 1.11 + 1.13 + 0.81 + 0.31 + 0.78 + 1.06 + 1.51 + 0.82 = 8.59
Switzerland has the following factories with the following workforce:
1 x level 1 Steel factory, employing 1 clerk and 4 craftsmen
1 x level 1 Lumber factory, employing 5 craftsmen
1 x level 1 Fabric factory, employing 1 clerk and 4 craftsmen
Total number of factory POPs = 5 + 5 + 5 = 15
NB Switzerland also has 19 unemployed clerks and 45 unemployed craftsmen, but these do not count towards industrial score (if only the Swiss AI would build some factories for them!!!).
So, Ind Score = 200*(24/9) + (108) + 2*(15) + 5*(8.59/9) = 533.33 + 108 + 30 + 4.77 = 676.10 = 676
Important Points Regarding Industrial Score in 1.04
1. Since it is only provinces on the same continent as your capital that count in the railroad and RGO parts of the calculation, building railroads on other continents (even if you have states with factories on other continents) will do nothing to improve your industrial score. This is especially important to note for the following countries in particular:
a. Russia, whose capital is in Europe whilst many of its provinces (those east of the Urals) are in Asia.
b. The Ottoman Empire, whose capital is in Europe whilst many of its provinces are in Asia (all of Asia Minor, Mesopotamia) and Africa (Tripolitania and Cyrenaica). So as the OE, build your rail in the Balkans first.
c. The UK, with its capital in Europe, may have many states like Ontario, West Indies, New South Wales etc on other continents which therefore don’t figure in the calculation even though they are states rather than colonies. It’s also important to remember that the UK has Gibraltar and Malta which are in Europe and do figure in the calculations.
d. The US, Argentina, Canada and Australia often have colonies (that can be converted to states, but have not yet been) on their home continent. It is important to remember to build rail in these colonies as well as your states.
2. Railroads are clearly the dominant part of the calculation: nothing will do as much to boost your industrial score as building more railroads (as long as they are in provinces on the same continent as your capital). However, the highest industrial score that can be gained from railroads alone is 1000 points (once you have built integral railroads in all relevant provinces), so to boost your industrial score beyond this the next best thing to do is to get lots of POPs working in factories. Getting more techs or boosting your RGO production usually has only a relatively minor effect in boosting your industrial score.
3. Unlike in previous patches factory output and factory level have absolutely no impact whatsoever on industrial score. So whilst there’s no point to artificially overexpanding your factories, there is no incentive (industrial score wise) to maximising their output either. Just pump the clerks and craftsmen into the factories.
4. In certain circumstances, taking POPs out of high output RGOs, converting them to clerks or craftsmen and putting them into factories may actually reduce your industrial score. This is particularly the case for large POPs working in the high efficiency RGOs (especially wool, cattle, fish and fruit) with high RGO value (eg 5.0) in countries with a small number of provinces on the same continent as their capital. For example: as Denmark I have a 35k POP in a value 5.0 cattle RGO in Viborg producing 6.00 cattle per day. Denmark currently has 7 provinces that are in Europe. The current contribution to the industrial score from this POP working in the RGO is 5*6.00/7 = 4.28. If I convert this POP to a craftsman or clerk and put it to work in a factory I lose the RGO output of 6.00 cattle per day and hence lose the 4.28 points from my industrial score, but only get 2 points back for having one extra factory POP. As a result, my industrial score drops by 2.28 points in this case.
Here is the formula:
Ind Score = 200*(average railroad level) + (number of techs) + 2*(number of factory POPs) + 5*(average RGO output)
Average railroad level equals the sum of all of your railroads (where experimental railroad = 1, early railroad = 2, iron railroad = 3, steel railroad = 4 and integral railroad = 5), divided by the total number of provinces. The ONLY provinces that count in this calculation are those that are on the same continent as your capital (regardless of whether they are in a state or a colony).
Average RGO output equals the sum of the outputs from each of your RGOs, divided by the total number of provinces. Again, the ONLY provinces that count in this calculation are those that are on the same continent as your capital (regardless of whether they are in a state or a colony).
Number of factory POPs equals the total number of clerks and craftsmen that are currently working in all of your factories (regardless of where in the world those factories are located – they CAN be on a different continent to your capital). Unemployed clerks and craftsmen do not count in this calculation.
Number of techs equals the total number of techs your nation currently possesses.
Note: the industrial score is always rounded down (ie truncated) by the game engine.
Example Calculation: Switzerland in Oct 1899
I have taken this example calculation directly from one of my old save games. In it, (AI played) Switzerland has its usual 9 provinces, all of which are on the same continent (Europe) as its capital Bern. Switzerland currently possesses 20 Army techs, 23 Navy techs, 20 Commerce techs, 22 Culture techs and 23 Industrial techs, for a combined total of 108 techs. Switzerland has the following railroads and RGOs:
Neuchatel – Steel RR, RGO producing 1.06 coal per day
Basel – Steel RR, RGO producing 1.11 fruit per day
Zurich – Experimental RR, RGO producing 1.13 cattle per day
Luzern – Steel RR, RGO producing 0.81 timber per day
Bern – Steel RR, RGO producing 0.31 iron per day
Geneve – Early RR, RGO producing 0.78 grain per day
Sitten – Steel RR, RGO producing 1.06 coal per day
Bellinzona – Experimental RR, RGO producing 1.51 wool per day
Chur – No RR, RGO producing 0.82 cattle per day
Total RR level = 5 x Steel (ie level 4) RR + 1 x Early (ie level 2) RR + 2 x Experimental (ie level 1) RR = 5*4 + 1*2 + 2*1 = 24 total RR level.
Total RGO output = 1.06 + 1.11 + 1.13 + 0.81 + 0.31 + 0.78 + 1.06 + 1.51 + 0.82 = 8.59
Switzerland has the following factories with the following workforce:
1 x level 1 Steel factory, employing 1 clerk and 4 craftsmen
1 x level 1 Lumber factory, employing 5 craftsmen
1 x level 1 Fabric factory, employing 1 clerk and 4 craftsmen
Total number of factory POPs = 5 + 5 + 5 = 15
NB Switzerland also has 19 unemployed clerks and 45 unemployed craftsmen, but these do not count towards industrial score (if only the Swiss AI would build some factories for them!!!).
So, Ind Score = 200*(24/9) + (108) + 2*(15) + 5*(8.59/9) = 533.33 + 108 + 30 + 4.77 = 676.10 = 676
Important Points Regarding Industrial Score in 1.04
1. Since it is only provinces on the same continent as your capital that count in the railroad and RGO parts of the calculation, building railroads on other continents (even if you have states with factories on other continents) will do nothing to improve your industrial score. This is especially important to note for the following countries in particular:
a. Russia, whose capital is in Europe whilst many of its provinces (those east of the Urals) are in Asia.
b. The Ottoman Empire, whose capital is in Europe whilst many of its provinces are in Asia (all of Asia Minor, Mesopotamia) and Africa (Tripolitania and Cyrenaica). So as the OE, build your rail in the Balkans first.
c. The UK, with its capital in Europe, may have many states like Ontario, West Indies, New South Wales etc on other continents which therefore don’t figure in the calculation even though they are states rather than colonies. It’s also important to remember that the UK has Gibraltar and Malta which are in Europe and do figure in the calculations.
d. The US, Argentina, Canada and Australia often have colonies (that can be converted to states, but have not yet been) on their home continent. It is important to remember to build rail in these colonies as well as your states.
2. Railroads are clearly the dominant part of the calculation: nothing will do as much to boost your industrial score as building more railroads (as long as they are in provinces on the same continent as your capital). However, the highest industrial score that can be gained from railroads alone is 1000 points (once you have built integral railroads in all relevant provinces), so to boost your industrial score beyond this the next best thing to do is to get lots of POPs working in factories. Getting more techs or boosting your RGO production usually has only a relatively minor effect in boosting your industrial score.
3. Unlike in previous patches factory output and factory level have absolutely no impact whatsoever on industrial score. So whilst there’s no point to artificially overexpanding your factories, there is no incentive (industrial score wise) to maximising their output either. Just pump the clerks and craftsmen into the factories.
4. In certain circumstances, taking POPs out of high output RGOs, converting them to clerks or craftsmen and putting them into factories may actually reduce your industrial score. This is particularly the case for large POPs working in the high efficiency RGOs (especially wool, cattle, fish and fruit) with high RGO value (eg 5.0) in countries with a small number of provinces on the same continent as their capital. For example: as Denmark I have a 35k POP in a value 5.0 cattle RGO in Viborg producing 6.00 cattle per day. Denmark currently has 7 provinces that are in Europe. The current contribution to the industrial score from this POP working in the RGO is 5*6.00/7 = 4.28. If I convert this POP to a craftsman or clerk and put it to work in a factory I lose the RGO output of 6.00 cattle per day and hence lose the 4.28 points from my industrial score, but only get 2 points back for having one extra factory POP. As a result, my industrial score drops by 2.28 points in this case.
