IMO, if you live somewhere that never gets snow, and your run is small enough (as yours is), it almost always makes sense to cover it with at least a lightweight plastic netting (trellis, garden netting, deer fence, etc). Will only keep out hawks, but that's *something*.
If you live somewhere that gets snow, though, it's a much tougher decision. You might cover the run during the nonsnowy months but remove it for the winter; if you want the run covered in wintertime you will need to build something that will not get flattened nor ripped apart by the weight of snow (which can be much more considerable than people expect). It is not just a matter of what wire mesh to use, it is a matter of having sufficiently well supported by rafters or etc. So cost can become an issue.
If you want to keep out raccoons and other fourlegged predators you need WIRE, not plastic mesh, and it needs to be HEAVY GAUGE and well-welded. A lot of the 2x2 and 2x3 wire on the market is really pathetic stuff designed for gardens not for animal control; even some of the 2x4 stuff on the market (especially if you are buying it from like Home Depot rather than a feedstore) can also be excessivly flimsy. Raccoons are HEAVY if they get to dancin' around on the top of the run
and strong animals like raccoons or loose dogs can break the welds on some of the weenier welded-wire products.
Good luck, have fun,
Pat
If you live somewhere that gets snow, though, it's a much tougher decision. You might cover the run during the nonsnowy months but remove it for the winter; if you want the run covered in wintertime you will need to build something that will not get flattened nor ripped apart by the weight of snow (which can be much more considerable than people expect). It is not just a matter of what wire mesh to use, it is a matter of having sufficiently well supported by rafters or etc. So cost can become an issue.
If you want to keep out raccoons and other fourlegged predators you need WIRE, not plastic mesh, and it needs to be HEAVY GAUGE and well-welded. A lot of the 2x2 and 2x3 wire on the market is really pathetic stuff designed for gardens not for animal control; even some of the 2x4 stuff on the market (especially if you are buying it from like Home Depot rather than a feedstore) can also be excessivly flimsy. Raccoons are HEAVY if they get to dancin' around on the top of the run
Good luck, have fun,
Pat