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[barcibus]

My population cap is set at 200 and yet despite having over 250 dwarves, I still get migrants.  What does the pop cap do?

[NecroRebel]

If your reported population is above the population cap, you won't get further migrants. Note the word "reported" there; it's important. Your population appears to only be reported when the dwarf caravan or liaison leaves the map, so if you've been losing them to ambushes or sieges often, or killing them yourself, you may continue getting migrants for quite some time.

[KodKod]

Population Cap is a moderately useful piece of head armour, but I prefer to equip my military with Mother Hood.

[martinuzz]

Indeed. Population cap only stop migration after being reported, when the dwarven liaison leaves the map.

Then there's the child cap: After hitting the absolute or relative child cap, children can still be born. However, no new pregnancies will occur until the child population falls below the cap again.

[barcibus]

I own the outdoors in this map and all the caravans have made it through... however I'm not sure if my population passed 200 before or after the last caravan.  I'll try setting it lower next time to see if it works.

[Pukako]

My understanding, which may be wrong, is that children don't count as part of the population figure for triggering migration.

So, if you're like me, and have about 1/3 of the fortress as kids, then this sort of thing can happen.

Although I've got 99 dwarves in my fort, with the pop cap set to 30, but there is a complicated reason why that occurred...

[martinuzz]

My understanding, which may be wrong, is that children don't count as part of the population figure for triggering migration.

So, if you're like me, and have about 1/3 of the fortress as kids, then this sort of thing can happen.

Although I've got 99 dwarves in my fort, with the pop cap set to 30, but there is a complicated reason why that occurred...

That's not true. Children do count towards the population cap total

[psychologicalshock]

My immigration stopped at exactly 203 dwarves, 30 of them were children, 3 of them were vampires.

[Flying Dice]

Basically, set your popcap to ~30 dwarves fewer than you actually want, and you'll get fairly reliable results.