A barren and depressing landscape is an example of a desolate landscape.
A person who is miserable and sad is an example of someone who is desolate.
When you destroy a landscape by polluting and killing all of the greenery, this is an example of when you desolate the landscape.
Origin of desolate
- Middle English desolat from Latin dēsōlātus past participle of dēsōlāre to abandon dē- de- sōlus alone s(w)e- in Indo-European roots
From American Heritage Dictionary of the English Language, 5th Edition