Dear Areeba,
From my understanding, Townsend model classifies a snow event is an event where snowfall is greater than 1 inch.
At my company, we consider the number of days in a month where snowfall is greater than 1 inch (3cm) to be 1 snow event. So if 12 days/month had snowfall greater than 3 cm, then consider it as 12 events that month. It is true that this may not be 100% following the model as there could be 2 snow events in 1 day. But I have found that with this approach, the results of the Townsend model come within expectations and its results are the best of any model I have found.
Sorry I cannot help further, my suggestion is to direct the question directly to Tim or one of the other authors.
Warm Regards,
Eliot