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Home » Stars! 2.6/7 » The Academy » pop management, 50% "cutoff" (Includes a pretty graph!)
pop management, 50% "cutoff" Sun, 18 May 2014 06:36 Go to previous message
mrvan is currently offline mrvan

 
Officer Cadet 1st Year

Messages: 220
Registered: May 2014
Perceived wisdom seems to be that there are three 'cutoff' values for pop:

25% - max growth rate
33% - max absolute growth
50% - balance between growth and economy

The 25 and 33% are logical, but whence the 50%? Since I'm a visual person, I graphed growth rate, absolute, and marginal effect of adding 3% more pop:


[img]http://i.imgur.com/rNV3ASj.png[/img] (edit: what's up with images here?)

The blue line is the pop growth, assuming a 20% growth race on its homeworld. The blue line shows overcrowding starting at 25% of capacity. (secondary axis)
The red bars are total pop increase, which plateaus at the 33% mark as expected.
The yellow bars are marginal pop increase, i.e. how much extra pop growth will removing 30k colonists cause (multiplied by 10 for visibility). It grows steeply from 33% until around 50% and then maxes out.

What I never quite realized is how flat the abs growth plateau is. From 25% to 33% capacity is a change from 50k to 52671, moving further to 42% capacity reduces this to 50236. So, all values from 25% to 42% are within 2500 colonists (5%) of max growth.

After that it drops more quickly: Increasing up to 51% has a much stronger effect because the marginal starts to pick up: 43538 or around 7000 colonists (83% of max growth). Going even further to 66% you only have half of total pop growth left.

For me, this means that
(1) I don't need to be as precise with pop management as I have been trying to, and building an extra freighter to get 35% down to 33% is probably not worth it;
(2) factory allocation is more important than pop management within that range, i.e. as long as there is a good green neighbour, it is probably best to keep at 25% until HW factories catch up, and then let population grow with factories until around 40%; and
(3) the 50% 'cutoff' doesn't make a lot of sense to me, as the curve is pretty smooth from 40% to 67% (ie each 10k pop gains you 1% production and costs you 1 or 2% pop growth). It makes more sense to me to keep it at 40% longer until the nearby breeders are at capacity (also allowing for some germ export), and then backfilling as soon as it reaches around 67%.

What do other people think?




[Updated on: Sun, 18 May 2014 06:37]

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