We can really only take a mediocre sensus calculation of North-western Middle-earth during the Third Age. For the population spikes and drops more in the Third Age than any other. And we really don't have numbers we can compare the so called "very small population" to. It's very likely the number for NW Middle Earth at the time of the War of the Ring are 2-3 half million people, and the rest of Middle earth is 3-4 million Man, Elf, and Dwarf. As I said we just don't know.
Also to answer why so few Men in NW Middle Earth, are you all not forgetting the Great Plague that hit Gondor, Rhovanion, Eriador, and Minhiriath during the Third Age? It killed thousands and thousands of people.
Then there's the Days of Dearth during the Fell Winter. It was during this time the Corsairs and Dunlendings besieged Rohan. The winter killed thousands of people including Hobbits in Eriador during this time.
You guys should try looking at it from a different angle.
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