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The phrase "a much smaller population" is correct and usable in written English.
You can use it when comparing the size of one population to another, indicating that it is significantly less in number.
Example: "The city has a much smaller population than the neighboring town, which has seen rapid growth in recent years."
Alternatives: "a significantly smaller population" or "a considerably smaller population".
Exact(39)
Each spends about a million dollars a year to track a much smaller population.
Argentina, with a much smaller population and less money, has two World Cups.
(That is some time after its neighbour, Macau, which has a higher reproduction rate, but a much smaller population).
But officials said a surprisingly large number of applications came from South Koreans, a much smaller population of immigrants.
It helps you understand, particularly in the South with a much smaller population, what a devastating experience this was".
The jungles of Borneo provide only temporary slash-and-burn agriculture and support a much smaller population.
Similar(20)
The latter report showed an inverse relationship of a single obesity-related SNP (FTO rs9939609) with overall- and low-grade prostate cancer in ProtecT, a much smaller population-based sample of 1,550 screen-detected prostate cancers and 1,815 controls [ 15].
Contrariwise, when we try to fit the data with respect to a hypothetical much smaller population, the sensitivity decreases.
Why Hong Kong, with its much smaller population, should have been hit so severely is not known.
Nonetheless, England's much smaller population needed less food and the demand for agricultural products fell.
They also have much smaller population sizes.
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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