The 'baby boom' effect does appear plausible, especially since Sauron's noxious emanantions from Mount Doom, which I always reckoned included fertility-depressing chemicals, had now ceased.
It is noted in the appendices that Aragorn and Eomer often fought side by side on the fields of the South and East during the early Fourth Age, so I guess not all the Easterlings and Haradrim were so fond of the (ahem) 'Regime Change'. Also,might one wonder at the loyalties of the ex-slaves of Mordor who were given the land around Lake Nurnen?
Otherwise Middle Earth was mostly empty or friendly, which could well have allowed a massive expansion in both population and settled territory during Aragorn's reign. After all it didn't take the USA so very long to expand across a continent.
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Rumil of Coedhirion
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