West Anstey parish had a population of 163 in the 2011 census. This parish predominantly straddles the southern part of Exmoor and the Devon Character Area known as Exmoor Fringe. The Devon County Council says,
this landscape of rolling, interlocking ridges, deeply incised by river valleys and patterned by beech hedges, provides an important setting and transition to Exmoor. The upland river valleys drain southwards from the high moorland, forming deep clefts in the landscape that contain clean, fast-flowing water and are clothed in ancient oak woodlands. The Bray valley is the major landscape feature of the western part of the area; further east the valleys are shorter, steeper and narrower. Tree features and hilltop clumps form notable landmarks. The area is sparsely settled, with individual farmsteads and small hamlets and vernacular buildings that are mainly of sandstone and slate. Seen from the south, the area forms the foreground landscape to Exmoor. Seen from the north it forms a diverse and strongly patterned patchwork of fields and wooded valleys.