This character is a Nonspacing Mark and inherits its script property from the preceding character. It is also used in the scripts Caucasian Albanian, Cherokee, Gothic, Latin, Sunu, Thai.
The glyph is not a composition. Its width in East Asian texts is determined by its context. It can be displayed wide or narrow. In bidirectional text it acts as Nonspacing Mark. When changing direction it is not mirrored. U+0331 prohibits a line break before it. The glyph can be confused with 3 other glyphs.
The Wikipedia has the following information about this codepoint:
Macron below is a combining diacritical mark that is used in various orthographies.
A non-combining form is U+02CDˍMODIFIER LETTER LOW MACRON. It is not to be confused with U+0320◌̠COMBINING MINUS SIGN BELOW, U+0332◌̲COMBINING LOW LINE and U+005F_LOW LINE. The difference between "macron below" and "low line" is that the latter results in an unbroken underline when it is run together: compare a̱ḇc̱ and a̲b̲c̲ (only the latter should look like abc).