Director Wes Anderson has a lot of cinematic trademarks that make his movies, well, Wes Anderson movies. There's the whole love of more or less symmetrical shots, for instance. A frame from a Wes Anderson movie is often recognizable as such for this reason alone. He's the writer of all his own movies (with occasional co-writers, of course). In tone, his writing features normal to the point of banal dialogue in unusual circumstances. This is reflected in his movie's art direction; for instance, in The Life Aquatic with Steve Zissou, he filmed parts of the movie on an actual boat at sea, and other parts on a flagrantly obvious sound stage. The thing about doing this is that creating a huge stage and filming at sea are both difficult things to do that also don't really complement each other. He creates comedies, but they are often very dark; at one point in The Grand Budapest Hotel, for instance, an innocent woman's severed head is held up, and the primary emotion felt is relief. Under normal circumstances, the standard critique would be his films are tonally inconsistent, but, as even the sets are at war with themselves, this is obviously on purpose.
Also, he is known for violently killing off dogs in his movies. That's a thing he does.
Which brings us to Isle of Dogs. There is literally a plot to kill off every dog in the movie. Turns out, Wes Anderson might actually like dogs, however, because that's the villains plot, not the movie's.