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The phrase "on population" is correct and can be used in written English.
It is typically used as part of a prepositional phrase to provide additional information about the subject of the sentence, specifically related to the number of people in a certain area or group. Example: "The government implemented new policies to control the spread of disease on the population." In this example, the phrase "on the population" is used to describe the group of people affected by the government's policies.
Exact(60)
(The grants were prorated based on population).
The luminosity function depends on population type.
Based purely on population, it is Iran.
Annual membership fees vary depending on population.
Thesis on population genetics and human expression.
Its main negative impact will be on population size.
It's time environmentalists ended the silence on population.
Mining had the largest impact on population redistribution.
Electoral votes (EVs) , which are tied ultimately based on population.
Each state receives an annual allowance based on population.
Sergei Chetverikov did innovative work on population genetics.
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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