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"closed population" is correct and usable in written English.
You can use it to refer to a group of people or other living things that are not open to new members. For example, "The study was done on a closed population of 15 people."
Exact(59)
In other words, only addition by births and reduction by deaths can change a closed population.
"There's no genetic exchange, and it's essentially a closed population," Ms. Danner said.
Paul Krugman As you say, the V.A. is a closed population, which is what makes it work.
The deme usually is not a closed population but contributes individuals to neighbouring populations and receives immigrants from them.
Counterintuitive though it may seem, said Dr. Moore, delayed childbearing and small families are known to help maintain genetic variability in a closed population.
The island is considered a closed population, but both animals have been known to come and go, swimming across Lake Superior or crossing on the ice in winter.
Traditional wisdom has it that these diseases, which are caused by faulty genes, are a consequence of inbreeding in a small, closed population.
In a closed population, as in zoos, the priority is high levels of genetic diversity to maintain a species' adaptability and prevent inbreeding.
We assume a closed population.
The assumption of a closed population often is weakened when the number of successive samplings is large.
The rumor is propagated through the closed population by contact between ignorants and spreaders, following the law of mass action.
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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