Follow up thought. If each edge (keeping your corner and edge pieces even) had a regular fade out centered on the chunk boundary, would an adjacent chunk at a different gradient just smoothly fill in?
Without looking at your sprite size I'm going to use some simplified numbers.
Full chunk graphic is 1000x1000. What my thought is, expand this 100 all the way around. Now you've got a 1200x1200 sprite. The 200 around the whole outside gets a fade from 100% to 0% so that it's 50% at the original chunk edge.
If another at the same gradient is placed next to it. That transition would ramp up and down at the same rate and look like 100% all the way across the transition. But if say the next chunk is only at half intensity, the roll off of the "thicker" chunk would fade across the border smoothly into the less intense one.
IMHO, having the sprite spill into the edge of the next chunk is fine even if that chunk has 0 pollution. Suddenly having a high polluting chunk transfers it's pollution into adjacent chunks anyway so this just illustrates that happening.