This is the 12990th most frequent Russian word.
локальный
"Локальный" means "local" in English.
Here, 'локальное' is used as an adjective to describe 'повышение температуры' (temperature increase), emphasizing that the increase is confined to a particular area.
Локальное повышение температуры заметно в этом регионе.
The local temperature increase is noticeable in this region.
In this sentence, 'локальная' refers to a 'network' and indicates its limited scope to a certain environment, such as a local area network (LAN).
Локальная сеть позволяет передавать данные между устройствами.
The local network allows data transmission between devices.
The adjective 'локальный' describes 'обряд' (ritual), showing that the ritual is specific to a particular local tradition.