If you live in North America, an additional consideration are gophers. Gophers are very common where I live - more common than moles or voles.
Voles live in burrows but will run on top of the ground over the same route, in areas where the vegetation will hide their runs. Their habitual use of these runs will create trails in the grass.
Voles (Meadow Mice) Management Guidelines--UC IPM
Do you have mounds of dirt on your lawn?
Moles live underground. They create two types of tunnels - one deep and one along the surface. The surface runs are more likely to be in your garden than in your lawn and are indicated by raised ridges. The mounds they create are often circular, volcano shaped in profile.
Moles Management Guidelines--UC IPM
Gophers are common lawn pests in the United States. They leave crescent shaped mounds in lawns and orchards. My bet is gophers.
Pocket Gophers Management Guidelines--UC IPM
Ground squirrels also live in burrows, and can tear up lawns leaving dirt all over the place. But they leave their burrows open, (whereas moles and gophers usually plug their holes.) And ground squirrels are diurnal and often seen scurrying about. Ground squirrels hibernate during the winter and wouldn't be seen at this time.
California Ground Squirrel Management Guidelines--UC IPM