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'across the population' is correct and usable in written English.
It is used when referring to something that applies to or affects everyone in a group or in a population. For example: "The new laws are expected to have a positive impact on income equality across the population."
Exact(60)
"Across the population, people underestimate wealth inequality," Davidai says.
Equality campaigners described the increase in anti-gay feeling across the population as "startling".
Consumer confidence plunged in December, but not evenly across the population.
Across the population, the pollster estimates an average of 72 political discussions a year.
The assessments merely provide a basis for distributing them across the population to which they apply.
Ultimately, we settled on "human frailty," borrowing a term from demographers who study patterns of death across the population.
Furthermore, what improvements we do see are not spread evenly across the population.
Bolstering non-oil sectors and more balanced development across the population are immediate priorities.
Random effects models, explicitly considering the heterogeneity across the population are particularly suited to such analysis.
(iii) Let us first show the characterisation of the highest (rho )-equivalent loss across the population.
However, oral health improvements are not being experienced evenly across the population.
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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