Dominique Tabutin, Bruno Schoumaker, Godfrey Rogers, Jonathan Mandelbaum, Catriona Dutreuilh, The Demography of the Arab World and the Middle East from the 1950s to the 2000s. A Survey of Changes and a Statistical Assessment, Population (English Edition, 2002-), Vol. 60, No. 5/6 (Sep. - Dec., 2005), pp. 505-591+593-615
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Tabutin et al. (2005) studied this question.