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The phrase "an established population of" is correct and usable in written English.
It can be used when referring to a group of individuals or organisms that have been recognized as a stable and self-sustaining community within a specific area or environment.
Example: "The researchers discovered an established population of sea turtles nesting along the coast."
Alternatives: "a stable population of" or "a recognized population of".
Exact(8)
At each site, three plots were sampled along a transect, representing (1) a non-invaded or very slightly invaded area, (2) the leading edge of earthworm invasion and (3) a heavily invaded area with an established population of the anecic earthworm Lumbricus terrestris (among other species).
There is an established population of redback spiders in Osaka, Japan, thought to have arrived in cargoes of wood chips.
We simplified the model in this way because we wish to focus on the introduction of pathogens by commercial bees into an established population of wild bumble bees, and the subsequent horizontal transmission of infection among foraging workers.
Addressing the problem when it first begins will lead to more success than trying to remove an established population of starlings.
Denmark was considered not to have an established population of free-ranging wild boar.
Phenology of an established population of Galerucella calmariensis (L). and G. pusilla (Duft). (Coleoptera: Chrysomelidae) on purple loosestrife, Lythrum salicaria L. (Lythraceae), in southwest Virginia.
Similar(52)
"The real risk is an established population in the building.
The established population of the Iberian Peninsula prior to 711 CE has been estimated at 7 8 million people, ruled by about 200,000 Germanic Visigoths, who had entered from the north in the sixth century.
The year Bustamante graduated, not one administrator and just three of the 40 teachers were Latino, despite a well-established population of Mexican Americans in the area and an influx of immigrants.
Our findings suggest that Sulawesi, like Flores, was host to a long-established population of archaic hominins, the ancestral origins and taxonomic status of which remain elusive.
Probably there was also deliberate communication across the larger gap between the central Carolinian atolls and the Marianas, which have a long-established population of cultural Carolinian immigrants who have retained their original language.
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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