pony-trekking vs equitation

pony-trekking and equitation both are nouns.

Word	Noun	Adjective	Verb	Adverb
pony-trekking	Yes	No	No	No
equitation	Yes	No	No	No

As nouns, equitation is a hypernym of pony-trekking; that is, equitation is a word with a broader meaning than pony-trekking:

pony-trekking: a sport in which people ride across country on ponies
equitation: the sport of sitting on the back of a horse while controlling its movements

Other hypernyms of pony-trekking include horseback riding, riding.

pony-trekking (noun)	equitation (noun)
a sport in which people ride across country on ponies	the sport of sitting on the back of a horse while controlling its movements