Lovely visuals and music, and the intro is great!
The chopping trees mechanics was very satisfying. The only minor issues I had were with the controls, and the game could use a little bit of forgiveness (like allowing for two hits before dying, or maybe implementing checkpoints, but to be honest? Maybe checkpoints would ruin the purpose of the game, considering the story and your goals). To be a bit more specific about controls, buffering inputs would help a lot, I think, to reduce the perception of missed inputs.
Nonetheless, the art is really great and has lots of personality, and the music really gets you going. Great use of parallax as well. The environment was impressive. Beautiful entry, great job there!