simply the fact that it is a legacy PoW with 0 premine is all it takes to keep doge afloat. The memetic marketing got it to where it is (which is really the most fascinating thing about Doge, and a lot can be learned from the way they essentially gained a mult-million $ ad campaign for free), and the first point is why it stays valuable.
Common sense much ?
Anything once popular is hoped it will be again.
clueless much? Where LTC goes, doge will not be far behind as most miners mine it merged...
Which is a result of point 1, and only serves to entrench it further, it's a good point. Not sure why Spoetnik hates Doge so much, it's hell of a lot better than 90% of those shitcoin ICO's that litter the top 100, honestly any fairly distributed 0 premine PoW chain gets a +1 in my book.