die Wanderung
hike
A longer walk, usually in nature such as in the forest or mountains, for pleasure or as a sporting activity.
Am Wochenende machen wir eine Wanderung durch die Eifel.
At the weekend, we're going on a hike through the Eifel.

hike / migration
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hike
A longer walk, usually in nature such as in the forest or mountains, for pleasure or as a sporting activity.
Am Wochenende machen wir eine Wanderung durch die Eifel.
At the weekend, we're going on a hike through the Eifel.

The noun 'die Wanderung' (hike / migration) is derived directly from the verb 'wandern' (to hike / wander). The ending '-ung' turns the verb into a noun that describes the action or result of hiking or wandering.
Das Wandern ist eine beliebte Freizeitaktivität.
Hiking is a popular leisure activity.
The context makes it clear which meaning is intended. If people are talking about leisure time, mountains, or forests, it means a walking tour. If they are talking about animals, birds, or historical peoples, it means the migration of a large group.
Unsere Wanderung führte uns zu einem wunderschönen Bergsee.
Our hike took us to a beautiful mountain lake.
When it is about a walking tour, the most common verbs are 'eine Wanderung machen' (to go on a hike) or 'auf eine Wanderung gehen' (to go on a hike). You can also book a 'geführte Wanderung' (guided hike).
Lass uns am Samstag eine Wanderung machen.
Let's go on a hike on Saturday.
train / move / draft
'der Zug' and 'die Wanderung' can both describe the movement of people. With 'Zug' here, the focus is on an organized group moving together, for example in a parade or demonstration. 'Wanderung' usually means a longer walk in nature, or the movement of many people or animals from one place to another. The words can be confused because both have to do with movement. For leisure time in nature, 'Wanderung' fits; for an organized group in a line or formation, 'Zug' is more likely.

Am Sonntag machen wir eine Wanderung durch den Wald.
On Sunday we're going on a hike through the forest.
Beim Stadtfest zog ein bunter Zug mit Musik durch die Hauptstraße.
At the town festival, a colorful procession with music moved along the main street.