The original Carrying Capacity mod did that -- growth at low population was very, very slow.
You needed immigration to get a reasonable population, and at the start of the game that meant either moving pops off your homeworld -- you were either focusing your pops on building up your Capital, or you were spreading them to the colonies as an investment.
With 3.0 code changes, this would be viable: you could just turn off jobs on your Capital and let the pops auto-migrate, painful but free; you could use your free building slot on a Robot Assembly Plant or on Clone Vats, and assemble your way up; or you could manually resettle to get your breeding base up to ~10 or so, not free and thus differently painful.
Not sure how well the AI would handle it in 3.0, but it seems like auto-migration might save them.