Why a 15 Wheat Field (15c) Cropper is the Best Village to Make Your Capital

[Brahma]

Reading the Questions thread I frequently see someone ask "Why should I make my capital in a 15c?" The answer is simple: No other tile can produce as many resources as a 15c can. Let's take a look at the numbers.

A level 10 resource field produces 200 resources per hour.
A 4 wood, 4 clay, 4 iron, 6 wheat (4/4/4/6) village with level 10 fields produces per hour:

800 wood (4 wood fields x 200 resources per field)
800 clay (4 clay pits x 200 resources per field)
800 iron (4 iron mines 200 resources per field)
1200 wheat (6 wheat fields x 200 wheat per field)
3600 total

Add in bonus building (Saw Mill, Brick Works, Iron Foundry, Flour Mill, and Bakery) and the production becomes:

1000 wood [ 800 x ( 1 + .25 for the saw mill) ]
1000 clay [ 800 x ( 1 + .25 for the brickworks) ]
1000 iron [ 800 x ( 1 + .25 for the foundry) ]
1800 wheat [ 1200 x ( 1 + .25 for the flour mill + .25 for the bakery) ]
4800 total

The two bonus building for wheat fields means that the amount of wheat produced per hour improved by 600 wheat per hour while wood, clay, and iron improved by only 200 resources per hour.

Up to 3 oases can be controlled by a village. For this example we'll pick a 25% wood, 25% clay, and 25% iron. Resource production becomes

1200 wood [ 800 x ( 1 +.25 sawmill +.25 oasis) ]
1200 clay [ 800 x ( 1 + .25 brickworks + .25 oasis) ]
1200 iron [ 800 x ( 1 + .25 foundry + .25 oasis) ]
1800 wheat [ 1200 x ( 1 + .25 for the flour mill + .25 for the bakery) ]
5400 total

Change the oases to 25% wood/25% wheat, 25% clay/25% wheat, 25% iron/25% wheat and resource production is:

1200 wood [ 800 x ( 1 + .25 sawmill + .25 oasis) ]
1200 clay [ 800 x ( 1 + .25 brickworks + .25 oasis) ]
1200 iron [ 800 x ( 1 + .25 foundry + .25 oasis) ]
2700 wheat [1200 x (1 +.25 flour mill +.25 bakery +.25 oasis #1 +.25 #2 + .25 #3) ]
6300 total

Changing the oases to 3 50% wheat bonus oases yields:

1000 wood [ 800 x ( 1 + .25 sawmill) ]
1000 clay [ 800 x ( 1 + .25 brickworks) ]
1000 iron [ 800 x ( 1 + .25 foundry) ]
3600 wheat [1200 x (1 +.25 flour mill + .25 bakery + .50 oasis #1 +.50 #2 +.50 #3) ]
6600 total

We can see that the most resources are produced when the three oases that a village controlled are 50% wheat bonus oases.

Let's take a look at fully upgraded 4/4/4/6 village with each resource field at their maximum (level 19 for clay and wheat, 18 for wood and iron, a level 18 field produces 1600 resources per hour and a level 19 field produces 2000 resources per hour). Bonus buildings are all at level 5 and 3 50% wheat bonus oases are controlled.

8000 wood [ ( 1600 base x 4 wood fields) x ( 1 + .25 saw mill) ]
10000 clay [ ( 2000 base x 4 clay pits) x ( 1 + .25 brick works) ]
8000 iron [ ( 1600 base x 4 wood fields) x ( 1 + .25 foundry) ]
36000 wheat [ (2000 base x 6 wheat fields) x ( 1 +.25 flour mill +.25 bakery +.50 oasis #1 +.50 #2 +.50 #3) ]
62000 total

A fully developed 9c (3/3/3/9) village with the same setup yields:

6000 wood [ ( 1600 base x 3 wood fields) x ( 1 + .25 saw mill) ]
7500 clay [ ( 2000 base x 3 clay pits) x ( 1 + .25 brick works) ]
6000 iron [ ( 1600 base x 3 iron mines) x ( 1 + .25 foundry) ]
54000 wheat [ (2000 base x 9 wheat fields) x (1 +.25 flour mill +.25 bakery +.50 oasis #1 +.50 #2 +.50 #3) ]
73500 total

While a fully developed 15c (1/1/1/15) produces:

2000 wood [ 1600 base x ( 1 + .25 saw mill) ]
2500 clay [ 2000 base x ( 1 + .25 brick works) ]
2000 iron [ 1600 base x ( 1 + .25 foundry) ]
90000 wheat [ (2000 base x 15 wheat fields) x (1 +.25 flour mill +.25 bakery +.50 oasis #1 +.50 #2 +.50 #3) ]
96500 total

Another example to consider is the 5 clay. Clay pits can be upgraded to level 19 while wood and iron resource fields can go up to only level 18. The fields are 3 wood, 5 clay, 4 iron, 6 wheat. To take advantage of the extra clay pit we have 3 oases that are 25% clay/25% wheat. Production is:

6000 wood [ ( 1600 base x 3 wood fields) x ( 1 + .25 saw mill) ]
20000 clay [ ( 2000 base x 5 clay pits) x ( 1 + .25 brick works + .25 oasis #1 + .25 #2 + .25 #3) ]
8000 iron [ ( 1600 base x 4 iron mines) x ( 1 + .25 foundry) ]
27000 wheat [ (2000 base x 6 wheat fields) x (1 +.25 flour mill +.25 bakery +.25 oasis #1 +.25 #2 +.25 #3) ]
61000 total

The 20k clay per hour is a lot of clay, but the total hourly resource production is actually less than a regular 4/4/4/6 with 3 50% wheat oases.

Replace a 5 wood tile for the 5 clay (with 25% wood/25% wheat oases) yields:

16000 wood [ ( 1600 base x 5 wood fields) x ( 1 + .25 saw mill + .25 oasis #1 + .25 #2 + .25 #3) ]
7500 clay [ ( 2000 base x 3 clay pits) x ( 1 + .25 brick works) ]
8000 iron [ ( 1600 base x 4 iron mines) x ( 1 + .25 foundry) ]
27000 wheat [ (2000 base x 6 wheat fields) x (1 +.25 flour mill +.25 bakery +.25 oasis #1+ .25 #2 +.25 #3) ]
58500 total

A 5 iron with 25% iron/25% wheat oases produces:

6000 wood [ ( 1600 base x 3 wood fields) x ( 1 + .25 saw mill) ]
10000 clay [ ( 2000 base x 4 clay pits) x ( 1 + .25 brick works) ]
16000 iron [ ( 1600 base x 5 iron mines) x ( 1 + .25 foundry + .25 oasis #1 + .25 oasis #2 + .25 oasis #3) ]
27000 wheat [ (2000 base x 6 wheat fields) x (1 +.25 flour mill +.25 bakery + .25 oasis #1 +.25 #2 +.25 #3) ]
59000 total

So what tiles would make the best capitals (considering strictly wheat oases bonuses)?

15c 150% 96500
15c 125% 89000
15c 100% 81500
15c 75% 74000
9c 150% 73500
15c 50% 66500
9c 125% 66000
9c 100% 64500
9c 75% 60000
15c 25% 59000
9c 50% 55500
15c 0% 51500
9c 25% 51000
9c 0% 46500

Other oases combinations will yield slightly different results, but a 15c with 150% wheat oases bonus is the best village to use as a capital. Bonuses for Gold were not taken into consideration, but multiplying final resource production for each resource type by 1.25 will yield what the production would be with the Gold bonus activated.

[Radioactive]

This looks like one of those topics that ought to be stickied! Nice work!

[Thy]

Great thread. I just have a problem with one thing: 1000* 25%= 1250. I figured it'd be 250 as a quarter of 1000. The rest of the thread looks nice though. Keep up the good work +rep for your great effort.

[twc]

You ever play with the Kirilloid resource field calculator?

Your numbers are off, a 150% 15c w/ 19s will produce 112.5k/hr.

[Thronodor]

Originally Posted by twc You ever play with the Kirilloid resource field calculator? Your numbers are off, a 150% 15c w/ 19s will produce 112.5k/hr.

He's not including the 25% Gold Bonus in his calculations as that's irrelevant for proportional comparisons. The 112.5k/hr is wheat alone with the +25%.

[Vicid]

Also, remember that speed servers = 2x resources.

[Radioactive]

Resources are 3x in speed. Troops are the ones that are 2x on speed.

[Brahma]

Originally Posted by Thy Great thread. I just have a problem with one thing: 1000* 25%= 1250. I figured it'd be 250 as a quarter of 1000. The rest of the thread looks nice though. Keep up the good work +rep for your great effort.

Bonus building and oases bonuses modify the base hourly production of a resource tile. In other words, bonus buildings and oases bonuses are additive. (The gold bonus is applied after all other bonuses are applied).

[Thy]

Originally Posted by Brahma Bonus building and oases bonuses modify the base hourly production of a resource tile. In other words, bonus buildings and oases bonuses are additive. (The gold bonus is applied after all other bonuses are applied).

Ah thanks for the information, I never knew that the oasis and bonus buildings are based off the hourly production, not stack percentage on each other.

[Brahma]

Originally Posted by Thy Ah thanks for the information, I never knew that the oasis and bonus buildings are based off the hourly production, not stack percentage on each other.

I had intended on typing in the calculations formula for figuring out hourly production, but I had already spent over an hour trying to type that up, I must have missed putting that in.