linguistic:paraphrasing
Mechanisms

In the long term, zero population growth can be achieved when the birth rate of a population equals the death rate. That is, the total fertility rate is at replacement level and birth and death rates are stable, a condition also called demographic equilibrium. Unstable rates can lead to drastic changes in population levels. This analysis is valid for the planet as a whole, but not necessarily for a region or country as it ignores migration.