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The phrase "assuming a population of" is correct and usable in written English.
It can be used in contexts involving statistics, research, or discussions about demographics where a specific population is being considered for analysis or hypothesis.
Example: "Assuming a population of 1,000 individuals, we can estimate the prevalence of the condition."
Alternatives: "given a population of" or "considering a population of".
Exact(9)
Instead of assuming a population of constant size, as in most of the previous work on the Y chromosome, we consider a model which permits a period of recent population growth.
The Queen Mary researchers calculate that daily or weekly supplements of vitamin D would mean 3.25 million fewer people in the UK having at least one respiratory infection a year, assuming a population of 65 million.
The determination of diffusion coefficient was calculated by fitting the data with the cumulants method and diameters were estimated by the Stokes Einstein equation, assuming a population of non-interactive spherical particles [[25]].
In this paper, we modeled neuronal representations of image statistical values (amplitude spectrum slopes) assuming a population of cells with various preferred spatial frequencies.
This increases to a panel of 30 or fewer assuming a population of full sibs (PID_SIB) (Sup.Mat 4).
Assuming a population of the referral districts of the nine Syncope Units of 1 870 000 inhabitants the observed incidence of implanted ILRs is 30 per million inhabitants per year (CI 23 39), a figure which is very similar to that of 34 per million inhabitants per year calculated by Solano et al. in patients with unexplained syncope.
Similar(51)
If we assume a population of 9 billion, the cuts rise to 95.9% in the UK and 98.3% in the US.
"On a 560m (1,840ft) section of canal, we assumed a population of around 45 to 50 voles and caught around 40 animals - which is a decent number".
Base-case analyses assumed a population of 300 million people.
Assume a population of 109 organisms; 200 of these acquire a gene from a divergent organisms.
The standard Wright Fisher model assumes a population of constant size N.
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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