If it is still in effect at the time the New Act comes into force, permission that the chief of a police station has granted or any other such measure that the chief of a police station has taken pursuant to the Former Act or the Former Order is deemed to be a measure that the chief of a police station has taken pursuant to the corresponding provisions of the New Act, and the permit associated with any such permission is deemed to be a permit under the corresponding provisions of the New Act. This being the case, any period that has been fixed for that measure is to begin running on the date that the measure was first taken pursuant to the Former Act or the Former Order.