I.2.2                      ESP model

The ESP model approach is based on the observation that a good fit to the distribution of the yearly accumulated fluence from the solar maximum periods of the solar cycles 20, 21 and 22 is obtained with a log-normal distribution. It is deduced from this observation that the distribution of the logarithm of the n-year accumulated fluence should also have a gaussian distribution with a mean and a relative variance that can be expressed as a function of the 1-year distribution mean and variance as follows:

(I-3)

and

(I-4)