There are two atmospheric phenomena that cause this - ducting, and Sporadic E. It's the frequencies in use, hi VHF/low UHF that are succeptable, and the atmosphere cares not if the carrier is digital or analogue.
As far as the physics is concerned its simp,y an electromagnetic signal.
Tinker with the digital signal enough and it drops completely, whereas analogue degrades slowly in proportion with the level of interference. Digital is only more robust up to a point...then it drops off a cliff entirely.
The interference argument is a pup, designed to sell the idea to the gullible public. The real advantage is more stations can be crammed into the same bandwidth, albeit with a significant loss in broadcast quality, which means more broadcast licences sold, more money for Ofcum (As radio hams call it).