I've decided that LAN award space is determined by a monkey with a dart board. Everything about it is completely random - what flights are available, when they're made available, everything.
For example, I've been looking at a RT flight LIM-JUL. There's been very spotty availability, and it changed every day. Now almost every day around my dates has at least a dozen seats per day available LIM-JUL, but zero JUL-LIM. I went back and checked a flight I was having a hard time finding space on (CUZ-LIM), and now every flight, every day, for a week, has 7 seats available.
I'm sure there's an algorithm somewhere. But I feel like when it's not flinging darts, it's busy flinging its own poo.