The notes and bibliography style is popular in the humanities—including literature, history, and the arts. In this system, sources are cited in numbered footnotes or endnotes. Each note corresponds to a raised (superscript) number in the text. Sources are also usually listed in a separate bibliography. This system is very flexible and can easily accommodate a wide variety of sources. The Chicago Manual of Style Online - Turabian
The author-date style is more common in the physical, natural, and social sciences. In this system, sources are briefly cited in the text, usually in parentheses, by author’s last name and year of publication. Each citation in the text matches up with an entry in a reference list, where full bibliographic information is provided. The Chicago Manual of Style Online - Turabian
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