Both Persikos and Kitron can be harvested in the jungles during rain weather. I recommend doing Yhoator since you can get Coral Fungus there too.
I discovered them trying to get mushrooms to make Rice Dumplings, since Movalpolos was always under beastmen control and I thought any cooker aiming for 100 would eventually follow the same steps.
Edit: I did mean Harvesting, not logging. You wont find maps about harvesting the jungles in ffxiclopedia, I find it weird since they existed in retail too. The spots are underground on the dead-end tunnels. When the rain weather happens a mushroom appears.