The haati glyphs are used in a way similar to that of the vae glyphs, and these two glyph types also look similar. Both illustrate legs:

haati	vae

We can interpret haati as a more general 'sign-of-going-away', not only used at the end of a year but also at the end of other major periods.

Inverted it becomes its opposite - a 'sign of arriving':

going away	arriving

A 'global map' over the G text.