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The phrase 'a high population density' is grammatically correct and can be used in written English.
It can be used whenever you need to describe a place or area with a high concentration of people, such as a large city. For example, "Tokyo is known for its high population density."
Exact(55)
In this section, we utilize the FFM-grid model for each of the 16 states considered highly populated and with a high population density.
Porto has a high population density, and overcrowding is common.
Interspersed in the Siwaliks are heavily cultivated flat valleys (duns) with a high population density.
Spread occurred as a high population density wave.
Despite a high population density, the dominant pattern is one of extreme dispersal.
Furthermore, current sewage plants can be adjusted and new ones built in areas first with a high population density.
Next came the idea of small plots with a high population density (the group ownership model) so people could afford to buy flats.
Shanghai had a high population density, and satellite towns absorbed potential suburban development.
Singapore: Religious affiliation Encyclopædia Britannica, Inc. Heavily urbanized, Singapore has a high population density, but it also has been a regional leader in population control.
Similar(2)
A state-of-the-art arena teeming with mass transit connectivity beckons in a high-population density area.
The most recent address of the patient was within a high population density area of Kuala Lumpur.
More suggestions(16)
a stable population density
a high population number
a large population density
a high population pressure
a uniform population density
a high population burden
a high tumour density
a serious population density
a high population mobility
a medium population density
a huge population density
a high torque density
a low population density
a high energy density
a high population growth
a high population uptake
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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