think they are aiming for a 'distant future' trilogy..
After seeing Dawn I thought the next film would be another remake of the 'Planet of the Apes' original movie showing the return of the spaceship etc and skipping the earth-human war (like Star Wars PT didn't show Clone Wars). Theyd already showed a big battle at the end of Dawn, so they wouldn't show the war in the next one as it'd be too obvious to do that. Plus the simian flu virus at end of Rise was never shown or had its own movie, (just the end of Rise / opening of Dawn) so Id expect the same with the war. and they've remade Conquest and Battle, the next one was the original (circular chronology) so really if it follows that trajectory Apes 3 should be a remake of the original 68 film (where everything was heading) and then that's it - it ends at the beginning. a trilogy wrapped up TDK style.
but since the next one is titled 'War' I think its a safe bet it'll be what I thought it wouldn't be - another Caesar movie leading on from end of Dawn. so what I now think is that they will go with two trilogies as doing loads of films isn't such a big deal now thanks to the likes of Potter, Marvel and Star Wars... before those it was really just Bond, Star Trek, Police Academy and various horror series that did endless sequels (and of course the original Apes films), theres no reason to wrap everything up in one single trilogy like The Dark Knight (which isn't the way now). also the distant future film(s) are the ones people really want to see and are waiting for and associate most with the POTA brand so those could easily make a billion each if they do 3 films instead of just one film (in fact 'War' might even break a billion)
so itd be six movies, a near future trilogy and a distant future trilogy, each with different characters. :
Near Future Trilogy: (Caesar)
Rise of the Planet of the Apes - Apes gain intelligence. Humans start dying out. (remake of second half Escape, and Conquest)
Dawn of the Planet of the Apes - Humans and apes are even. The Ape-Human War begins. (remake of Battle)
War of the Planet of the Apes - The Ape-Human War. Apes win. (continues remake of Battle. end credits scene of Icarus)
Distant Future Trilogy: (Taylor)
The Planet of the Apes (as that hasn't been used yet) or Return to the POTA - The astronauts return to find advanced apes over humans. (remake of 1968 Apes although thered be no need to have them think they wernt on earth for the duration of the film - maybe just the opening 10 mins or so until they see the ruined Statue of Liberty. Serkis plays Ceasers descendent possibly Cornelius who teams up with Taylor like the way Roddy McDowell played his own son in Conquest/Battle. Plus they'd be all the original movie characters -Nova, Zira, Zaius, Landon, maybe Brent)
Empire of the Planet of the Apes or Age of the POTA - Humans revolt. The Second Ape-Human War starts. (possible remake of Beneath - the humans could be underground bomb worshipping mutants)
Salvation of the Planet of the Apes or Apocalypse of the POTA - The war ends in either peace or everyone dying in nuclear destruction as the lead characters attempt to escape the planet of the apes. (continues remake of Beneath and also opening of Escape - getting off the planet/possible time travel twists - especially now alternate timelines/realities is in vogue thanks to current Star Trek/XMen/Terminator)
(unless they aiming to do 5 films like the originals in which case lose 'Empire')