Couple of scenarios.
As mentioned could be draught marks, although this is ulikely with patio doors as they are usually draught proof. Did you test clean it with a suitable product other than your standard detergent?
It could also be either sunlight fading which has degraded the green dye leaving the dark wool showing. Carpets are sometimes made with darker wools with the lighter wools being used for brighter dyes used in clothing etc.
Same thing could be happenning with wear in the doorway, are there lots of kids coming in and out?