A new modelling methodology for the prediction of the solar proton environment a 1 AU is presented. This new method named Virtual Timelines is applied to the SEPEM Reference Event List derived from a long flu time series of space-based measurements to produce the SEPEM model for proton peak flux and fluence at 1 AU. There are several new components including the use of the Lévy distribution for time distributions and the accounting for the non-poin-like nature of SEP events.