I decided to find some time slot today to continue on the forecasts issue and indeed as expected the exponential trend line seems to be much closer to the data allocation one. The "doom" date for the IPv4 address space using this trend line is about one year earlier than in case of linear approximation - 1st of March 2013. However the same remarks apply as for the linear trned line (see Linear Trend Line forecasts).Approximation/trend line fitting was based on the least squares fitting algorithm (taken from: http://mathworld.wolfram.com/LeastSquaresFittingExponential.html). The chart comparing two trend lines is presented below:
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