This can be interpreted however you want, but I will explain it at the bottom.
The song is Emilie Simon's 'Le Dsert'. I followed the lyrics for the most part. This film is personal to me, so it's likely that it won't make sense to most. Watch the video before you read the rest of this description.
Spoilers Below
(The title translates to 'The Desert of my Heart')
This is a story of a girl who has become isolated from the one she loves, emotionally of course. She saves a spot for her loved one in her desert, but he never fully understands and thus she is left alone in her desert. She is trying to forget him, but his image lingers on in her heart and mind. Eventually she is able to move on in the end, he disappears and she walks away from him.