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A few thoughts (and numbers) about IS pop growth... Sun, 13 February 2005 07:26
Robert is currently offline Robert

 
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Registered: November 2002
Location: Dortmund, Germany
A few thoughts (and numbers) about IS pop growth...

Some basics about growth first:
The formula to calculate the growth is pop_on_surface * modified_growth_rate
The modified growth rate (for capacity >25%) is growth_rate * ((max_pop - pop_on surface)/(0.75 * max_pop))^2
Example: you got OBRM and are non HE or AR or JoaT so the max_pop is 1.100.000
If your growth rate is 19%, then for a planet with 33% cap -> 363.000 pop on surface is:
19 * ((1.100.000 - 363.000)/(0.75 * 1.100.000)^2 = 15,1% (or something close), means
you grow by 0.151 * 363.000 = 54.900 pop

IS has the advantage that pop always growth in fleets like a planet with 50% value and infinite capacity.

In the order of events IS growth in fleets happens before production and growth on planets, which means
that IS can grow the same pop twice - this is because if the freighters are full, the excess population
is dropped to the surface before growing again.

Ok, so far the basics...

Now some numbers (I love numbers):

For now lets assume you got a 100% world with 500.000 pop, and as many freighterspace as you want.

500.000 pop on surface gives 50.000 pop growth and 500 resources (just dropping it all)
363.000 pop on surface gives 54.900 pop growth and 363 resources (33% capacity = 15.1% growth)
275.000 pop on surface gives 52.200 pop growth and 275 resources (25% capacity = 19% growth)

25% always gives max. relative growth, while 33% gives max. absolute growth.

What we can see first is that we got a trade-off between growth and resources. Some people claim
(Jason Cawley was one of them) that you should not maximize the growth, you should try to maximize
the "resource integral" over time - and presented some formula that showed that keeping pop at 47%
once all planets are filled up is best - I dont want to go into such detail, I will just show some
numbers here Smile

So - this has been quite boring, but lets do the same for IS now:
500.000 pop on surface gives 50.000 pop growth and 500 resources (just dro
...



[Updated on: Sun, 13 February 2005 09:39]




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