The pattern of crabgrass growth in my yard

I finally realized there is a pattern to where the crabgrass is growing in this yard. I had noticed it was spreading, but not where or why....
It's taking over the fresh turned dirt where the mole tunnels are!
It's a pioneer species, taking advantage of the new opportunity.

So I need to be watching mole tunnels, and seeding the lovely loose dirt with something I like.
I have been improving the soil here, so there are more worms, and the moles are very happy about it.

The things I learn when pulling weeds....

The moles tunnel under my duckie bathtubs that are in with my sitting ducks, so the tubs don't move like the ones out in the field. The extra moisture results in more worms which attracts mole tunnels.  Now, personally, I'd prefer the worms turning the bedding and duck shit into soil, but the moles do a certain amount of aerating the bedding.

They don't create a big problem, but I worry about rats following the tunnels and getting at the duck eggs. The moles think these protected zones are great, as they're more worried about the owls than the rats.

It all depends on one's point of view!

One of the best things you can do is thicken up your turf. I do lawn and tree care for a living, and I see a huge difference in yards where moles are, depending on what the homeowner does. On a yard with a healthy root system, the damage is much less severe. Often the grass will not die and may discolor at most. Good watering, fertilizing, aeration, and proper cutting are key. Your plan of action may be different depending on where you live and what grass types are there, but the general idea is the same. Healthy roots mean fewer weeds as well.

It is ironic that good lawn care does bring some critters.

Welcome to permies, Nathan!
Yes, sometimes doing things well attracts things we don't want, but I've also found that if you keep on that "do things the permaculture way", eventually they balance out again.