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I bet on the whole Hubbert will be pretty true as long as we account for new fields coming on line, with my biggest concern being whether techniques used to extend the production volume have significantly changed the shape of the curve.
Actually to a degree the Hubbert model does try and account for oil that is yet to be discovered.
In Deffeyes 2005 book "Beyond Oil", he applies Hubbert linearization not only to the oil we have already used, but also to two others.
The second plot is the amount of oil we have used plus the known reserves (removing bogus reserves from OPEC nations).
The third plot is 'hits'. Essentially a measure of oilfield discoveries, and this is an attempt to measure the amount of oil in oilfields yet to be discovered.
You can then fit straight lines to all 3 of these, and he has such graphs in one of his books. In the summary, he has the parameters for the lines that he fit to the things. All 3 have a Qt of 2.013 trillion barrels.
The first curve (oil that we have consumed already) has a=5.9%, peak 2005, and percentage used is 49%.
The second curve (oil that we have consumed plus reserves) has a=7.2%, peak 1978, and percentage of total of 82%.
The third curve (hits - oilfields that we know about) has a=8.1%, peak in 1964, and percentage of total of 94%.
The third curve implies that only 6% of the total world oil is in oilfields that we don't know about yet.
I have to admit that I am still a little fuzzy on the concept of 'hits', and what it means.
Hubbert works well for USA oil, but by your definition, it is not entirely "natural". For geopolitical factors, many areas were placed out-of-bounds for environmental reasons. There were many innovations integrated into the production data. Even with the major recent discovery, the North Slope, the older estimates project forward fairly well.
For USA oil, Hubbert seems to cope well with most of the "unnatural" factors that you mention. Going global, politics will probably throttle production more than disasters. New discoveries probably won't be as significant for the world as for the USA. It is likely that we will need some stupendous additional innovation just to match the innovation embedded in the USA models. This reasoning implies less global URR "loft" and global depletion rate "depression" than we see with the USA models.