hiesig
local
Relating to this place; coming from here, local, or resident in this area.
Die hiesige Bäckerei ist für ihr frisches Brot bekannt.
The local bakery is known for its fresh bread.

local
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local
Relating to this place; coming from here, local, or resident in this area.
Die hiesige Bäckerei ist für ihr frisches Brot bekannt.
The local bakery is known for its fresh bread.

'Hiesig' (local) is the adjective related to the adverb 'hier' (here). So it means 'von hier' (from here) or 'zu diesem Ort gehörend' (belonging to this place).
Die hiesigen Weine sind international bekannt.
The local wines are internationally known.
The adjective 'hiesig' (local) is almost exclusively used before a noun (attributively). Using it after the noun with 'sein' (to be) (predicatively) is very rare and sounds unnatural.
Viele hiesige Bürger engagieren sich ehrenamtlich.
Many local citizens volunteer.
'Hiesig' (local) is used more often in written language, in newspaper articles, or in somewhat more formal conversations. In casual everyday speech, many people simply say 'von hier' (from here) instead.
Der Bürgermeister sprach mit Vertretern der hiesigen Wirtschaft.
The mayor spoke with representatives of the local economy.
Common combinations are 'hiesige Unternehmen' (local companies), 'hiesige Produkte' (local products), 'die hiesige Bevölkerung' (the local population), or 'hiesige Sitten und Gebräuche' (local customs and traditions).
Touristen sollten die hiesigen Gebräuche respektieren.
Tourists should respect the local customs.
local
'lokal' and 'hiesig' both refer to a place. 'Lokal' is more general and can refer to any specific place or region. 'Hiesig' means 'from here' or 'in this place' and depends strongly on the location of the speaker or the text. It often sounds a little more formal than 'lokal'. Learners may confuse the words because both mean local. When speaking generally about a region, 'lokal' fits. When you specifically mean 'here where we are', 'hiesig' fits better.

Die hiesige Schule arbeitet eng mit der Bibliothek zusammen.
The local school works closely with the library.
Morgen trifft sich die lokale Gruppe im Rathaus.
Tomorrow the local group is meeting at the town hall.