The phrase "dusty plains" refers to a place or area that is covered with a lot of dry dirt or fine particles, usually without much vegetation or other forms of life. Full definition
Last but certainly not least, goddamn Jeff Bridges looking like he could ride a wild stallion across dusty plains to attend a fashion show. (themarysue.com)
If it's helpful, then you're probably looking for a very thirsty bloke wandering about baking hot dusty plains shouting Sheila, Sheila, come here this minute and bend over. (arsenalarsenal.net)
At the best of times, the temperamental rains come for three or four months and turn dusty plains into green pastures, forests and fields. (scientificamerican.com)