Rambo what program do you use to take out the shake in the video ?
Wow, surprised that was a GoPro, it looked somehow different. I just watched that video again and it IS full of jello, so a software stabilizer in post will only only blur the images when it reassembles them and only enhance the wobble. It really needs dampening at the source. If he shoots in 720p50fps it will help reduce it by 50% due to the way the GoPro resizes the different modes.
Otherwise if he wants to try a post stabilizer there is Deshaker, Mercalli 2, After Effects has one in "Tools", so does imovie and Sony Vegas Pro V10 has one built-in as well. I use Mercalli Pro2, but only to rescue footage that would be otherwise unusable or to just take the edge off shaky footage that has no apparent jello.
Prevention is better than cure.
R