The problem describes a geometric series where the first term is the amount allocated in 2005, which is $2000, and the common ratio is the increase of 2.5% each year. Therefore, the common ratio is:

\(r = 1 + \frac{2.5}{100} = 1.025\)

The total amount allocated from 2005 to 2014 is the sum of the first 10 terms of this geometric series. The formula for the sum of the first \(n\) terms of a geometric series is:

\(S_n = a \frac{r^n - 1}{r - 1}\)

Substituting the known values \(a = 2000\), \(r = 1.025\), and \(n = 10\):

\(S_{10} = 2000 \frac{1.025^{10} - 1}{1.025 - 1}\)

Calculating this gives:

\(S_{10} = 2000 \frac{1.2800845 - 1}{0.025} \approx 22400\)

Therefore, the total amount allocated from 2005 to 2014 is $22,400.