The head-end (of the house, bed etc.); upriver (towards its source).
Kōkan luma' is always the longer wall of a house facing south or west and is opposite the doorway. (In a mosque the alcove is on the narrow side of the building and facing west. This is also called kōkan.)
When you plant vegetables, do it there near the head of the house.
The alcove should really be at the head of the mosque.
There was strong rain upriver.
Bettadun u'an iyan la'i si kōkan kamanu.
Place that pillow there at the head of your bed.