Is it a good or bad idea to list declined fellowships (for a PhD program) on one's curriculum vitae?
Bad idea. If you turn down an award (or an acceptance to a univeristy, etc), you don't get to reap the benefits of that award. 

No one cares about the universities you could have gone to or the fellowship programs you could have worked for, they care about what you have actually done and that is all you should include on your CV/resume. Period. 

To me, the resume linked to above reads "I had no one else edit or evaluate my resume before I posted it online."