Re: Population Growth for a colony
I think you're being too conservative, KK.
A common trend in "frontier" areas (the US West and Australia during the 19th Century, for instance) is large families. The reason those areas stayed frontier and didn't fill up fast was due to equally high death rates - mostly due to disease. Unless you're talking about dropping colonists with no supplies and no support, we can reasonably expect death rates only slightly higher than in modern periods, thanks to vaccination, barrier nursing and modern germ theory, which combined tend to kill epidemics before they start. These need little in the way of high-tech - it's just a better understanding of the problem that makes all the difference.
In the 19th century, 50% child mortality rates were not uncommon. I would be surprised at a 10% rate with a colony planted with modern technology, let alone where medicine has reached by the time we have the capacity to reach another inhabitable world.
So, if a family in the NA West had eight kids, four would reach breeding age. In a modern colony, seven would manage that feat (on average, of course).
My best guess? 150% increase in population per generation, 200% in the initial generation (before the first settlers start to drop off due to age).