So I have a big coop and a 10x10 run, which started life as a dog run. Here is a pic of the coop and part of the run as it's currently set up:
And a pic of the whole run with the former coop (no longer used):
The run has a wire top (2x4 welded wire, wired securely on) and I have a tarp over 1/2 of it.
I'm wondering if I should either cover the whole thing w/ a tarp or, alternatively, make a nice peaked roof for it. Is there a benefit to covering it entirely (other than preventing mud, which would be nice)? Is there a down side?

And a pic of the whole run with the former coop (no longer used):

The run has a wire top (2x4 welded wire, wired securely on) and I have a tarp over 1/2 of it.
I'm wondering if I should either cover the whole thing w/ a tarp or, alternatively, make a nice peaked roof for it. Is there a benefit to covering it entirely (other than preventing mud, which would be nice)? Is there a down side?