I know right- where does that stuff go?! I guess the earth just has a way of absorbing and taking everything back... the beauty of compost.
Over the years, I've seen and tried so many different methods to keep stuff in place. The first thing that made sense to me was watching how landscapers laid paving stones over a layer of landscape fabric (and sand and gravel). but the fabric seemed to keep everything from sinking over time. Plastic sheeting is the worst because there's no drainage. I even tried using the landscape/weed fabric under the shavings for my chicken area but because chickens are constantly scratching and digging, that just made fluffy chunks of it sticking up all over the place, leaving patches of bare ground (aka mud) in all the spots where they scratched it up.
So anyway, back to your question about raking the wood chips over the pvc netting... I just mostly rake the top layer to smooth out the potholes they create.
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My sturdy metal garden rake does catch somewhat on the netting if I rake too close to the ground but my leaf rake doesn't do much at all. I haven't found it necessary to completely turn over the chips. I rake everything level on the surface and that's enough to turn the top layer of poop over and then the rain washes the rest down underneath. The guy from Newland Poultry recommends using a sanitizer and spraying it but I haven't done that yet. I know eventually all this will decompose, so when it gets to that point I plan to remove it and put all that compost around my garden beds and shrubs in the landscape (because that stuff keeps disappearing too!). I've already practiced moving it and a snow shovel works great to smoothly scoop it all up over the netting.