OK, here's the breakdown turn by turn in 1.0 unpatched/unmodded (and no slave trader retinue), Normal tax rate:
Summer 270: After Segesta is enslaved, its pop is 450 and rate of growth is stated as 2% (1.5% base farming and .5% slavery, with no squalor). Everything except the pop stays the same for Segesta through the end of the test in Winter 267.
Arretium ends up with 4225 pop and 2% growth, (2.5% base farming, .5% farm upgrade less 1% squalor) after enslaving. Built the governor's house.
Winter 270: Segesta pop 457
Arretium pop 4309, growth rate drops to 1.5% (2.5 base + .5 farm upgrade - 1.5% squalor). Built roads.
Summer 269: Segesta pop 464
Arretium pop 4374, growth rate stated as back up to 2% (2.5 base+ .5 farm upgrade + .5% slavery - 1.5% squalor). Everything except the pop stays the same through the end of the test in Winter 267.
Winter 269: Segesta pop 471
Arretium pop 4440
Summer 268: Segesta pop 478
Arretium pop 4507
Winter 268: Segesta pop 485
Arretium pop 4575
Summer 267: Segesta pop 492
Arretium pop 4644
Winter 267: Segesta pop 499
Arretium pop 4714
From this, it seems clear that the .5% slavery bonus isn't actually getting added in. The Arretium pop increase matches the stated percentage in Summer and Winter 270. But when the slavery is added in 269, it never actually increases pop at the right rate--at 2% the Winter 269 pop should be 4461. But it only increases 1.5%, to 4440, indicating that the .5% kicker for slavery never gets added in. The Segesta population increase is never right, since the slavery kicker is there from the beginning: it should be increasing by 9 population, but it goes up by only 7---i.e., 1.5%
So this has never worked properly, even in 1.0. The population equation doesn't seem to be picking up the slavery bonus for whatever reason.
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