ColonialHospital +25% growth
XenoMedicalCenter +50% growth
FertilityCenter +100% growth
ReplicationCenter 150% growth
You can only have one of these per planet, and in my post I counted the Replication Center (+150% base, +5% per level, assumed level 10 => +200% growth).
FoodDistribution +10% growth
XenoIrrigation +25% food, 10% growth
BiomassResequencer +50% food, +10% growth
You can only have one of these per planet, and it's +10% growth per level, not a flat +10% growth; I assumed level 10, so +100% growth.
+25% food breadbasket world +25%growth
+50% food Thin atmosphere world -25% growth
You only get one of these, and the second is actually a growth penalty; why you brought it up in a discussion of whose growth is faster I have no idea, as it penalizes natural growth and does nothing to artificial growth.
MysteriousNatives neutral choice +10% growth
1. Good luck getting it.
2. Whoop dee doo, I get a whole extra 0.01 population per turn. +10% population growth is not worth taking; the +10% research is better for a research or mixed world, and the +10% influence at least has a real effect.
ThalanPlanetarySpecialization2 +10% growth
ThalanAgriculturalMastery2 +20% growth
ThalanXenoBiology +10% growth
ThalanPopulationEnhancement +10% growth
ThalanBioReplication +10% growth
Adds up to exactly the same +60% growth from techs that I came up with from the Terran tech tree.
a lot of those can compound each other, but all of them can stack/compound with these techtreee bonuses. food/pop is included becaiuse I had the list made previously
None of them compound with one another, as not one single one of these bonuses can multiply any of the others. It's straight additive stacking, and you end up with something around +500% population growth at best, which works out to 0.6 population per turn. This is laughably small by comparison to the attainable population growth rates using even the basic Assembly project; I need merely ~33 manufacturing output to match this.
I will further point out that assuming a level 10 Food Distribution Center (or upgrade thereof) and a level 10 Replication Center incorporates the tile bonuses you've listed. I can get at most 6 adjacent tiles (6 levels if filled with farms, 7 levels if the FDC and RC are adjacent and the other tiles are filled with farms, 8 levels if one of the tiles that is adjacent to both the FDC and RC is filled with Artocarpus Viriles or a Monsatium Deposit and the FDC and RC are adjacent to one another). Given that this requires that I build ~10 farms and have at least a Food Distribution Center on the planet, I'm looking at a minimum of about +50 food on the planet (4 food per farm, 2 from the base value and 2 from being level 4, +25% from having a Food Distribution Center) unless I'm on a planet with a food penalty. At 0.6 population growth per turn, it is going to take ~83 turns for the population to use this food. This is not likely to be worthwhile.