As always, such datasets are going to be noisy (in fact, GDP figures themselves are approximates at best and liable to many revisions) but I put forward that the graph shows two main things:
1) The period when Peru outstripped the other two in size of growth. From its timing, it fits with the price rises experienced by its two main exports of copper and gold, as well as the growth of free market policies in the country (under the Toledo and then the García governments).
2) The drops in GDP that resulted from the 2008 financial/U.S housing bubble/Lehman etc crisis were sharp, but Bolivia fared better than the other two. The best guess here is that exports of all types were badly hit, but as Bolivia's main export and source of currency, natgas, was sold under long-term fixed price contracts it had a better buffer zone.
3) The last couple of years, which has seen decadence in Ecuador and Peru from higher levels, while Bolivia's growth has accelerated. Both Ecuador's and Peru's growth rates are still laudable however, just less than previous years. Meanwhile, GDP growth really seems to be taking hold in Bolivia and a virtuous circle developing.