Ensuring post-apocalyptic survival at TL8?

[vicky_molokh]

Greetings, all!

Yes, the question is somewhat 2012-inspired. Assume a hypothetical situation:

You're in charge (either single-handedly or in a council of unspecified size, up to but no larger than the number of planned survivors) of making sure a small part of humanity (and civilization of at least TL7) survives. The new place to live will be roughly Earth-like in climate and ecology.

For an absolutely clean and simple experiment, assume this is a colony on an Earth-like world after Earth's destruction, but disregard the cost of actually launching the craft and landing on the world - only putting up the colony. For other examples, you can also assume a Perimeter-style dimension-hopping base that shifted to an IW-ish Earth where humanity never developed.

In any case, what would be the minimum population (which would be, based on some googling, probably slightly above 200 for genetic reasons, but probably more like 1k+ for other reasons), cash cost, and material requirements of such a project? I.e. to maintain TL7 or even TL8 on the 'new world' in no more than one generation.

This more of a thought experiment, though a civilian space colonization program would be a fitting solution too.

Thanks in advance!