(a) Pets are prohibited—

(1) In the Exit Glacier Developed Area except in the parking lot, on the Exit Glacier road, or other areas designated by the superintendent;

(2) Along the coast within the area extending from the mean high tide line to one quarter mile inland after May 30 and before November 1.

(b) The restrictions in this section do not apply to dogs when sufficient snow exists for skiing or dog sled use and the dogs are restrained as part of a sled dog team or for the purposes of skijoring.