Didn’t the Curse Prevent Overpopulation?

If sin never entered the world, then there is no reason to assume God wouldn’t have said “stop reproducing” once humans had filled the earth. Remember in a world without sin, God’s relationship with mankind wouldn’t be tarnished; hence, open communication should still be there. . . . The basis for overpopulation comes from uniformitarianism and projecting current growth rates into the future. Uniformitarianism has failed in the fields of geology and radiometric dating while looking at the past. So, why trust the results of uniformitarianism here? AiG