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The phrase "decline in population" is correct and can be used in written English.
You can use it in situations where you are talking about a decrease in the number of people in a specific area. For example, "The decline in population in the city has had a negative impact on the economy."
Exact(15)
These afflictions and related factors were responsible for a general decline of population.
Despite an overall decline of population, the northern départements of Yonne and Côte-d'Or have experienced demographic growth, supported by the inflow of population from the Paris metropolitan area.
It is the main influence behind the decline of population growth and, perhaps even more important, is shifting the balance of age groups within a population.When gold turns to silverA fall in fertility sends a sort of generational bulge surging through a society.
The "eds and meds" revolution has yet to reverse the long standing decline of population.
If the past trend of the decline of population growth in these countries continues, with Tunisia as forerunner, it can be expected that, under conditions of the assumed (constant) economic growth indicators, more and more members of the working-age population will be absorbed by the economy.
The clearing of mature forests for agricultural development is the main reason for the decline of population.
Similar(45)
More than once in the last decade such sampling has evidenced the catastrophic decline of populations within the five years, leaving fewer options for adapting conservation strategies.
The synergetic negative effect of copper and hydrocarbons on C. crambe settlers may cause a decline of populations in areas with both sources of contamination.
Our results suggest that the widespread conversion of forest to urban land in small catchments has likely resulted in a substantial decline of populations of stream salamanders and could have serious effects on stream ecosystems.
Overgrazing by sea urchins, outcompetition by mussels, habitat destruction, scientific research sampling and, probably, human trampling and chemical pollution are to be blamed for the decline of populations thriving in shallow waters.
Nevertheless, this aim is hampered by conservation issues resulting from a serious decline of populations.
More suggestions(18)
decline of fertility
decline of aging
decline of communities
declining of population
reductions of population
decline of grain
decline of dementia
decline of labor
decline of wildebeest
decline of deference
decline of newsprint
decline of religion
decline of Liverpool
decline of party
decline of deterrence
decline of productivity
decline of chintz
decline of tourism
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com