Detailed experiments were conducted to test the behaviour of the ESR signal at the g-value of 2.0057 in corals after irradiation and heating. On the basis of the results an analytical model for this signal was developed. We assume the existence of a precursor to the SO2- radical. On irradiation traps are produced, some in the precursor state and some in the radical state. Heating then causes transfer of electrons into the precursor state, from the precursor state into the radical state and out of the radical state into a base state. On the base of this model, we suggest that the signal at g = 2.0057 can be applied for dating. Our first dating attempts on corals delivered promising results for the suggested procedure.