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Inspired by the Higher Global Population thread, where this idea started to form for me.

For whatever reason, let's imagine if conditions were right in Elizabethan England to start establishing colonies on the east coast of America 70 years earlier than OTL. A mix of Puritans and Catholics fleeing religious persecution and regular entrepreneurs creates a small but rapidly growing series of colonies like we saw IOTL. A couple hundred people at first go, and then there's a trickle of a couple thousand per year eventually. A drop in the bucket for England, as many of these people might have died in war or other circumstances back home anyways and they have plenty more. But they have high birth rates like most settler colonies, and the population abroad begins to take off.

More people means more taxes and more resources. England starts paying more and more attention to the colonies, even being willing to fight wars to secure land there like that part of the Seven Years War IOTL. Natives get an even worse deal than OTL as though they fight back there are far more people who marginalize them earlier.

Let's say by 1700 English America has achieved similar population levels to 1776 in 1700- 2 million.

1700- 2,000,000
1750- 8,968,067

By 1750, they are already pulling far ahead, even ahead of Britain. With such a large population, we can assume they've spread to cover much of the Midwest, Mississippi watershed, Eastern Canada as well as the East Coast.

1800- 40,213,112

At this point we can begin to lower growth rates, from where I had it (with immigration and birth rates, growth was 35% every ten years, which is pretty consistent with OTL) to a smaller number, to account for the fact that immigration will be far less significant and birth rates will probably decline a little from their highs- perhaps a 25% growth rate instead (in comparison, the United States at this period IOTL had about a little over a 30% growth rate, so this is actually a conservative estimate:

1850- 122,720,679

Lowering it again to 18%, for similar reasons. By this point English America will probably cover just about all of modern U.S and Canada. If it is apart of Britain, it will be the center of the Empire. If not, it could either be a huge Empire of its own or several powerful States.

1900- 280,755,185

That's right, population would be at the same level as they were around the end of the 20th century, but this time at the beginning of it. There's certainly enough agriculture in the region to support it, though it will mean the area is not as much of a food exporter.

At this time we will shift over to a little higher than the British growth rate at this time, 13%, because though the two would be similarly developed the Brits had a lot of colonization impeding growth. Again, this is a conservative estimate.

1950- 517,273,229

By 1950, English American population is similar to that of China, and will remain on that trajectory. And why not? Assuming roughly U.S+Canada, the Americans will have more land, and more arable land, than the Chinese, more waterways and coasts, and a far larger economy and trade.

2017- roughly 902,000,000.

Obviously this will have HUGE effects on pretty much everything. In just English North America, you now have an Europe-sized entity population wise, all speaking English. The Nation(s) of this region will be hugely important on the world stage. Perhaps the Appalachian regions are even the first ones to make strides towards industrialization! Perhaps slavery is not established in the colonies, and remains mostly in the Caribbean and South America.

Is it even possible for such a large entity to stay together with England, even if it's ruled from an alt Boston, New York or New Orleands? If so, could anyone seriously challenge it with an untouched homeland like they have?
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