Print

Please login or register.
1 Hour 1 Day 1 Week 1 Month Forever
Login with username, password and session length

[Brotato]

Knight of Fools has already sworn fealty to me.  He started out as one of my knights.

[Zangi]

So, how do you get it ?

... ?  Your further questions boggle me.

Code: [Select]

Type Base Yield Production Local Demand Trade Balance Total Balance
Food 629 1039 1440 450 49
Wood 66 245 585 100 -240

Workforce
495 assigned to building construction
36 employed in various buildings
884 available for farming and local economy
Here is an example.
First column of numbers = Base Yield
2nd column = Actual Production
3rd column = How many mouths I am feeding

Now, I'm not really a maths person...  but...  with my base yield of 629:
884 farmers = 1039 food, 1.175 food per farmer (Numbers from above)
813 farmers = 997 food, 1.226 food per farmer
629 farmers = 872 food, 1.386 food per farmer (farmers = base yield)
530 farmers = 793 food, 1.496 food per farmer
247 farmers = 490 food, 1.984 food per farmer

[PanH]

It's just that I didn't know where you see the base yield, but I found it, I used to look with trade/tribut, and you can see it with details of the settlements.

[ank]

Now, I'm not really a maths person...  but...  with my base yield of 629:
884 farmers = 1039 food, 1.175 food per farmer (Numbers from above)
813 farmers = 997 food, 1.226 food per farmer
629 farmers = 872 food, 1.386 food per farmer (farmers = base yield)
530 farmers = 793 food, 1.496 food per farmer
247 farmers = 490 food, 1.984 food per farmer

But I am!
brb, calculating. Maple is on the job!
........
........
Ok, done!
Food as a function(f) of the number of farmers(x), with base yield(y) is:


!!MATH!!

Oh... you want me to plot that function? ok!



Now I just need to know how much food each peasant eats, and the fun math can begin!
....
Which I did myself:
food consumption is 10+#peasants+#soldiers. we ignore the soldiers and get:
c=10+x

That means food surplus is f(x)-(10+x)
And now the fun begins!
Differential calculus assemble!!!!

We find the that maximum yield is at 378 peasants working the field, in your town with base yield of 629.
And I can draw that function too:


I (\/) !!MATH!!
   \/

[Zangi]

Now I just need to know how much food each peasant eats, and the fun math can begin!

Further using my village as an example:

Local Demand = 1440
Workforce
495 assigned to building construction
36 employed in various buildings
884 available for farming and local economy
= 1415 Peasants
Difference = 25

To fill that up, I also have:
10 Soldiers/Militia
15 Soldiers in Training

Total: 1440 mouths eating my food

(Apparently, mobilized troops do not count toward the demand/consumption of food...)

EDIT: To clarify, 1 food = 1 peasant/militia/trainee/mouth 
(Entourage also do not count toward the mouths.)

[ank]

Arg, you are right, I didn't count the soldiers in training.
doesn't matter though as a constant differentiates to 0, so the math is still the same.
And now I broke Maple

I was gonna find out when it was outright detrimental to have more peasants working the fields...
Ok, Maple really doesn't like that calculation, but we can just look at the graph.
after 1360 farmers each farmer produce less than 1 food, and so it's bad to have more.

[Zangi]

Arg, you are right, I didn't count the soldiers in training.
doesn't matter though as a constant differentiates to 0, so the math is still the same.
And now I broke Maple

I was gonna find out when it was outright detrimental to have more peasants working the fields...
Ok, Maple really doesn't like that calculation, but we can just look at the graph.
after 1360 farmers each farmer produce less than 1 food, and so it's bad to have more.

So basically, after that, you totally need lots of tribute and plunder to get any bigger/build the big buildings.

Mind you, Base Yield for all settlements are different... and I can assure you, there are some out there that are better then my Base Yield of 629.

EDIT:
Shrubland: 169 Base Yield
169 Farmers = 234 Food, 1.3846

[ndkid]

I've been quietly snapping up villages and towns, and am up to 30-odd estates in my domain. Anybody still looking for a lord to swear fealty to?

[ank]

Hmm... I bet I could find maximum farmers as a function of the base yield...
brb, more math.
...
The equation is way complicated, but here is a graph:

Horizontal axis is the base yield
Vertical axis is the maximum farmers

Surprisingly It's going up exponentially.

[Mookzen]

All this math talk makes me wonder if an irl medieval lord calculating all of his stuff (if he could) would fair better or worse than someone who does it 'by ear'.

P.S. we need this high level discussion happening on the official forum.

[Neonivek]

All this math talk makes me wonder if an irl medieval lord calculating all of his stuff (if he could) would fair better or worse than someone who does it 'by ear'.

P.S. we need this high level discussion happening on the official forum.

Well believe it or not this sort of economic projection existed back then (even the idea of devaluing currency), but there was still a lot they didn't know yet.

Mind you, as far as "feed the peasants" is concerned they often just left that up to the peasants to sort out and took a tax of their food.

[Zangi]

All this math talk makes me wonder if an irl medieval lord calculating all of his stuff (if he could) would fair better or worse than someone who does it 'by ear'.

P.S. we need this high level discussion happening on the official forum.

I'd figure a medieval lord would have accountant type people under em, figuring out the taxes and food.  And possibly steward(s) of sorts to help manage affairs at the estate(s).  Various states of delegation/autonomy between the whole lot.  They probably did not care so much about the food as they did the taxes.  (Though, it may be more pragmatic to consider that fed peasants can consistently pay more taxes then starving peasants.)

@P.S.  *shrug*  I just discuss wherever the discussion is(and if I have any words for the topic...).  Plus, it kinda creates more exposure talking about it here then it does on the official forums.

[ank]

You have to remember that for most of human history and the medieval era that: Food Is Money.
In a feudal system, peasants simply does not need money: they get all their goods from trading at the village, and pay taxes in the form of food.

[Brotato]

Welp, looks like the welcome mat is about to be rolled out... To War!

[ank]

And now for today's !!MATH!! lesson:
So what so really need now is the ideal number of farmers in relation to the base yield.
Mind you, it's farmers, not peasants.

with this funktion:


And we can plot that shit too:

Base yield is on the horizontal axis
And ideal number of farmers are on the vertical axis