Saturday, 23 June 2012

how many heroes

HOW MANY HEROES

( figuring out the hero population of a world running DCC RPG. )

95% of people are 0-level
those that are not 0-level are heroes
1 hero in every 20 people

a world has (i will assume)
300 mil people (which is the population of earth around 1AD)
15 mil heroes

60 mil square miles of land (not water)
5 people per square mile
1 hero every 4 square miles

----------------------------------------------------
TABLE 1 HERO POPULATION BY LEVEL
01-65 (65%) [LV1] An skilled expert in a field.
66-90 (25%) [LV2] An expert among experts, a leader.
91-99 (9%)  [LV3] A rare genius. A leader of leaders.
100 * (1%)  [LV+]
----------------------------------------------------

*if you roll 100, the character is [LVL4], and roll 1d10.
While the result is 10, add a level and roll again.

this gives you your remainder:

(.9%)   [LV4]
(.09%)  [LV5]
(.009%) [LV6]
...  and so on.

----------------------------------------------------


(this distribution does not exactly map to the numbers given in dcc rgp (HEROES, page 359) but it does add to 100%, where that table does not.)

so, for a million people you get:

[lv0] 950 000 (50 000 heroes)

[lv1] 32 500
[lv2] 12 500
[lv3] 4 500
[lv4] 450
[lv5] 45
[lv6] 4.5
[lv7] .45
[lv8] .045
...  and so on.

that means that with a world population of 300 mil, there are so many heroes:

[lv0] 285 mil  (15 million heroes)

[lv1] 9 750 000
[lv2] 3 750 000
[lv3] 1 350 000
[lv4] 135 000
[lv5] 13 500
[lv6] 1 350
[lv7] 135
[lv8] 13.5
[lv9] 1.35
[l10] .135

-------------------------------------
TABLE 2 HERO POPULATION BY CLASS
01-50  (50%) Warrior.
51-70  (20%) Cleric.
71-90  (20%) Thief.
91-100 (10%) Wizard.

-------------------------------------

If this is accurate (i made it up) then we get:

--------------------
world warrior population
(7.5 million warriors, 2.5% of population)
[lv1] 4 875 000
[lv2] 1 875 000
[lv3] 675 000
[lv4] 67 500
[lv5] 6750
[lv6] 675
[lv7] 67.5
[lv8] 6.75

-------------------
warrior population per million people
(25 000 warriors)
[lv1] 16 250
[lv2] 6250
[lv3] 2250
[lv4] 225
[lv5] 22.5
[lv6] 2.25
[lv7] .225

---------------------
world cleric population
(3 million clerics, 1% of population)
[lv1] 1 950 000
[lv2] 750 000
[lv3] 270 000
[lv4] 27 000
[lv5] 2700
[lv6] 270
[lv7] 27
[lv8] 2.7

-------------------
cleric population per million people
(10 000 clerics)
[lv1] 6500
[lv2] 2500
[lv3] 900
[lv4] 90
[lv5] 9
[lv6] .9
[lv7] .09

---------------------
world thief population
(3 million thieves, 1% of population)
[lv1] 1 950 000
[lv2] 750 000
[lv3] 270 000
[lv4] 27 000
[lv5] 2700
[lv6] 270
[lv7] 27
[lv8] 2.7

-------------------
thief population per million people
(10 000 thieves)
[lv1] 6500
[lv2] 2500
[lv3] 900
[lv4] 90
[lv5] 9
[lv6] .9
[lv7] .09

---------------------
world wizard population
(1.5 million wizards, .5% of population)
[lv1] 975 000
[lv2] 375 000
[lv3] 135 000
[lv4] 13 500
[lv5] 1350
[lv6] 135
[lv7] 13.5
[lv8] 1.35

-------------------
wizard population per million people
(5000 wizards)
[lv1] 3250
[lv2] 1250
[lv3] 450
[lv4] 45
[lv5] 4.5
[lv6] .45
[lv7] .045

---------------------------

This would mean that to be the best guy in a million, you have to be a lv7 warrior, or a lv6 thief, cleric or wizard.

China in 2AD
population 20 mil
3,710,000 square miles
5.39 people per square mile
9 lv6 wizards.

France in 1AD
population 5.5 mil
260,000 square miles
21.15 people per square mile
2.475 lvl6 wizards.

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