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I use NSA quarterly GDP data when I'm teaching economic dynamics. Run a high enough order difference equation and you'll get a complex root with modulus 1 (a complex unit root) and periodicity four, the seasonal cycle, as well as the damped complex roots which describe the longer cycles and either a deterministic trend or the unit root which describes the trend.

It appears that Canada's number is fairly closely correlated with that of the US.

According to PRB.org's 2006 World Population Data Sheet Canada's population as of mid-2006 was 32.6 million people and the USA's population was 299.1 million people. The same document shows that the rate of natural increase in population for the two countries is 0.3 percent per year for Canada and 0.6 per year for the USA. So absent immigration the USA is expected to increase its population twice as fast on a percentage basis alone. When you take into account the base population number, we should expect to see Canada's population increase absent immigration by 97,800 persons whereas with the same criteria the US population should increase by 1,794,600 persons which is 18 times greater than the Canadian increase.

Per the PRB report Canada's net migration is 7 persons per 100,000 while the US number is 3 persons per 1,000. Again, when one takes into account the relative base populations that translates into expected in-migration for Canada of 228,000 persons versus expected in-migration for the US of 897,300 persons. The ratio in favor of the US is a shade under 4 to 1.

Finally, when we take a look at PRB's projections for the two countries' populations for the year 2025, Canada's is expected to be 37.6 million persons while the USA's population is expected to by 349.4 million persons. That translates to an increase in the US population of 50.3 million persons versus an increase in the Canadian population of 5.0 million persons. Remarkably, the US will increase in population to 2025 by significantly more than the entire population of Canada today! Plus, the total increase for the USA is expected to be 10 times that of Canada!

One can categorically state that Canada and the US have radically different demographic situations. What then, are the implications of this difference? I suspect that Canadians who are aware of these facts must be somewhat uneasy about the relationship between Canada and the US. Living next to a country that dwarfs yours by most criteria means that a careful balance in relations must be managed. On the other hand, US growth represents export opportunities for Canadian businesses and Canadian economic policy ought to steer toward export-oriented industries. Of course, just about every other country in the world is dependent on exports to the US for economic growth, so this could be problematic for Canada.

One remaining set of facts from the PRB report concerns the geographical size of the two countries; Canada at an area of 3,849,670 square miles is larger than the USA at 3,717,796 square miles. If immigrants were seeking land, it would seem that Canada would be the place to go, but the global trend toward urbanization negates this seeming advantage to Canada. I believe climatic factors weigh against Canada when it comes to where immigrants choose to seek a new country, as well. It seems that systems for managing heat are preferred to systems for managing cold as the growth of southern-tier US states has been radically higher than any other part of the US or any Canadian province.

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