Check-marking Local Space in an emitter guarantees that the emitter and the associated effects are relative to the effect placement in the world space. Put another way, a particle's position will be relative to the emitter. If the particle's position is (1,1,1) but that particle system is located in the world at (5,5,5); then the particle data will still read as (1,1,1).

Determinism makes the effect happen the say way every time. Using determinism guarantees a particle look of the effect every time it is called.