Since can function as a conjunction linking two clauses together, as in ‘I’ve known Joanna since she was born’ or ‘I hadn’t seen her since she went to live in Oxford’. In such cases it is normally used with the present perfect or past perfect tense, either in the simple or continuous form.
As in the present case, It has been many year since the last time the hunting season was closed early. Did the hunting season close early last year? The year before the last? And why?
It has been many years since the park was closed early than scheduled. Did the park close early than scheduled last year? The year before the last?
In terms of grammar, It has been many years since (an event happened at a time in the past), simply means the time that event happended was a long time ago.