Area noun – A part or portion having no fixed boundaries. Vicinity is a synonym for area in region topic. In some cases you can use "Vicinity" instead a noun "Area", when it comes to topics like zone, near. popular alternative
Vicinity noun – An adjoining region or space. Area is a synonym for vicinity in zone topic. You can use "Area" instead a noun "Vicinity", if it concerns topics such as near, surrounding district. popular alternative Nearby Word: vicinal
With regards to the state of Earth itself, the only part of it shown in the later series is the area in immediate vicinity of the original Macross itself, which does appear to be an arid desert even fifty years later.
For example, the Race's equivalent of cows look very much like dinosaurs with turreted eyes, except it's pointed out that they don't graze like cows, instead eating every blade of grass in the vicinity (making the area barren).