What's the difference between horde and pasturage?

Horde

Definition:

(n.) A wandering troop or gang; especially, a clan or tribe of a nomadic people migrating from place to place for the sake of pasturage, plunder, etc.; a predatory multitude.

Example Sentences:

(1) Manager Claudio Ranieri, captain Wes Morgan and goalkeeper Kasper Schmeichel were spotted at the airport, where hordes of local media and fans waited for their arrival.
(2) Among the horde assembled outside City Hall was teacher Lydia Harris, 27, who urged Boris to start “putting people before profits.” Harris, a member of the anti-capitalist collective Feminist Fightback added: “Boris has got to start helping others but then he’s lied before about rape crisis centres when he promised us money that never came.” Why march for homes?
(3) "It all started when hordes of natives surrounded the police station.
(4) Quite rightly, the appearance of the rampaging hordes of women whom David Cameron has promoted has been criticised.
(5) Understandably so, since we’re talking about ice demons who can command zombie hordes.
(6) Too distracted by "having it all", western women are failing to breed enough to repel the amassing hordes.
(7) The city appeared, according to a report in the Daily Mirror, “like a battlefield with blazing houses, hordes of refugees, dead cattle and horses and the rattle of automatic weapons”.
(8) I can think of hordes of politicians who look worse and "weirder", with wet little pouty-mouths, strange shiny skin, mad glaring eyes, deathly pale demeanour, blank gaze and an unhealthy quantity of fat (I can't name them, because it's rude to make personal remarks), and I don't hear anyone calling them "weird", or mocking their looks, except for the odd bold cartoonist, but when it comes to Miliband , it's be-as-rude-as-you-like time.
(9) The hordes poured in to defend her, the story went global and by lunchtime on Friday the leader of the council was having to recant and apologise, live on BBC Radio 4.
(10) From there, the Guardian's Paul Harris has filed this: As they trickled into the church – far outnumbered by the hordes of lunchtime office workers and eagerly shopping tourists outside – few expressed anything but acceptance at the once-in-the-last 600 years event.
(11) He suspects Hannibal did not intend to come this way, but was forced to avoid the lower cols to the north because of the hordes of Gauls massing there.
(12) In the end the Chelsea players who had hoped to conquer the world were left slumped on the turf as the Brazilian drums pounded and the raucous hordes of Corinthians supporters bellowed their celebration into the night sky.
(13) When he arrived at the venue and was confronted by a motley horde of fans, tipped off by a tweet, instead of sidling in the back to pace about alone in a corridor, like a normal human would, Fry blithely faced the crowd, chatting and signing autographs.
(14) The mood changes when a robot messenger controlled by Ultron arrives and mocks the superheroes, moments before a horde of raiders smashes into the building.
(15) He pointed out that, contrary to popular belief, Brussels is not manned by a gigantic horde of bureaucrats.
(16) And then, out of the distance rush the intricately detailed hordes, like lushly painted Games Worshop figures.
(17) In Kim Jong-il he found a producer who shared his enthusiasm for the subject of invading hordes.
(18) Who knows what the country house crowd will make of the invading horde of over 2,300 ceramic river crabs?
(19) Yet this fabrication goes to the heart of the film's mission, which is to depict the German people as the last victims of Nazism whose true defenders were a band of brave German soldiers, including SS men, who fought until overwhelmed by the Bolshevik hordes.
(20) Journalists have been beaten at demonstrations and opposition gatherings have been intimidated by hordes of ruling party supporters.