Tramp \Tramp\, v. t. [imp. & p. p. {Tramped}; p. pr. & vb. n. {Tramping}.] [OE. trampen; akin to LG. trampen, G. trampeln, LG. & D. trappen, Dan. trampe, Sw. & Icel. trampa, Goth. anatrimpan to press upon; also to D. trap a step, G. treppe steps, stairs. Cf. {Trap} a kind of rock, {Trape}, {Trip}, v. i., {Tread}.] 1. To tread upon forcibly and repeatedly; to trample.
2. To travel or wander through; as, to tramp the country. [Colloq.]
3. To cleanse, as clothes, by treading upon them in water. [Scot.] --Jamieson.
That means scaring off visitors whose tramping feet grind Offa's Dyke to dust or whose flashy, off-road jeeps turn ancient bridleways into battlegrounds. But rural life is not that simple.
It's true that the president's house is comfortable enough if you don't mind sightseers tramping around it all day.
There is fresh, white lettering on the battered sign welcoming tourists to this ancient capital _ once visited by Alexander the Great, by Marco Polo, by Tamerlaine and by hippies tramping through Asia.