Statistics
Slightly more births at full moon
Comptes Rendus. Mathématique, Volume 359 (2021) no. 7, pp. 805-811.

A popular belief holds that the number of births highly increases when the moon is full. To test this belief, we use a 50-year data set of 38.7 million births in France. The signal includes quasi-periodic and discrete components that need to be subtracted. This is done using a non-linear Gaussian least-squares method. It results in residuals with very good statistical properties. A likelihood ratio test is used to reject that the residual means for the 30 days of the lunar month all equal 0 (p-value = $5×{10}^{-5}$): the residuals show very small but highly significant variations in the lunar month due to an increase of births at full moon and the day after. The reason for the very small increase of birth at full moon is not investigated but can be suspected to result from a self-fulfilling prophecy.

Supplementary Materials:

Accepted:
Published online:
DOI: 10.5802/crmath.223
Classification: 62P10
Frédéric Chambat 1; Anne-Laure Fougères 2; Alexandre Elyildirim 3

1 Université de Lyon, ENSL, LGLTPE, CNRS, 15 parvis René Descartes, F-69007 Lyon France
2 Univ Lyon, Université Claude Berndard Lyon 1, CNRS UMR 5208, Institut Camille Jordan, F-69622 Villeurbanne, France
3 Université de Lyon, UCBL, Polytech, 15 Boulevard André Latarjet, F-69100 Villeurbanne, France
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Frédéric Chambat; Anne-Laure Fougères; Alexandre Elyildirim. Slightly more births at full moon. Comptes Rendus. Mathématique, Volume 359 (2021) no. 7, pp. 805-811. doi : 10.5802/crmath.223. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.223/`

[1] K. Bauer; S. Bender; J. Heining; C. M. Schmidt The lunar cycle, sunspot and the frequency of births in Germany, 1920-1989, Eco. Human Biology, Volume 11 (2012), pp. 545-550 https://www.sciencedirect.com/science/article/pii/S1570677X12001311 | DOI

[2] P. J. Brockwell; R. A. Davis Time Series: theory and methods, Springer, 2006

[3] S. K. Cesario The ‘Christmas Effect’ and Other Biometeorologic Influences on Childbearing and the Health of Women, J. Obstet. Gynecol. Neonatal Nurs., Volume 31 (2002), pp. 526-535 https://www.sciencedirect.com/science/article/abs/pii/s088421751534003x | DOI

[4] A. Charpentier; D. Causeur Large-scale significance testing of the full Moon effect on deliveries (2009) | HAL

[5] D. F. Danzl Lunacy, J. Emergency Med., Volume 5 (1986), pp. 91-95 https://www.sciencedirect.com/science/article/abs/pii/0736467987900709 | DOI

[6] R. G. Foster; T. Roenneberg Human Responses to the Geophysical Daily, Annual and Lunar Cycles, Current Biology, Volume 18 (2008), p. R784-R794 https://www.cell.com/current-biology/fulltext/s0960-9822(08)00865-8 | DOI

[7] I. W. Kelly; R. Martens Geophysical variables and behavior : LXXVIII. Lunar phase and birthrate : an update, Psychol. Rep., Volume 75 (1994), pp. 507-511 | DOI

[8] E. L Lehmann; J. P. Romano Testing Statistical Hypotheses, 3rd Ed.,, Springer, 2005 https://sites.stat.washington.edu/jaw/courses/580s/582/ho/lehmann_and_romano-testingstatisticalhypotheses.pdf | Zbl

[9] J. Margot No evidence of purported lunar effect on hospital admission rates or birth rates, Nursing Res., Volume 64 (2015), pp. 168-175 https://www.ncbi.nlm.nih.gov/pmc/articles/pmc4418782/ | DOI

[10] R. Martens; I. W. Kelly; D. H. Saklofske Lunar phase and birthrate : a 50 years critical review, Psychol. Rep., Volume 63 (1988), pp. 923-934 https://journals.sagepub.com/doi/10.2466/pr0.1994.75.1.507 | DOI

[11] P. Martin; M. Cortina-Borja; M. Newburn; G. Harper; R. Gibson; M. Dodwell; N. Dattani; A. Macfarlane Timing of singleton births by onset of labour and mode of birth in NHS maternity units in England, 2005-2014: A study of linked birth registration, birth notification, and hospital episode data, PLoS ONE, Volume 13 (2018), pp. 1-25 https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0198183 | DOI

[12] R. G. Miller Beyond ANOVA, basics of applied statistics, Chapman & Hall, 1986 | Zbl

[13] S. Morton-Pradhan; R. Curtis Bay; D. V. Coonrod Birth rate and its correlation with the lunar cycle and specific atmospheric conditions, Am. J. Obstetrics Gynecol., Volume 192 (2005), pp. 1970-1973 https://www.ajog.org/article/s0002-9378(05)00282-6/fulltext | DOI

[14] J. Rotton; I. W. Kelly Much ado about the full moon: a meta-analysis of lunar-lunacy research, Psychol. Bul., Volume 97 (1985), pp. 286-306 https://content.apa.org/record/1985-19152-001 | DOI

[15] J. Rotton; I. W. Kelly; R. Culver The moon was full moon and nothing happened: a review of studies on the moon and human behavior and human belief, The outer Edge (J. Nickell; B. Karr; T. Genoni (eds. ); N. Y. Amherst, eds.), CSICOP, 1996, pp. 16-34 https://skepticalinquirer.org/1986/01/the-moon-was-full-and-nothing-happened

[16] J. Rotton; W. Kelly; J. Frey Geophysical variables and behavior: X. detecting lunar periodicities: something old, new, borrowed, and true, Psychol. Rep., Volume 52 (1983), pp. 111-116 https://journals.sagepub.com/doi/10.2466/pr0.1983.52.1.111 | DOI

[17] J. A. Sterne; G. D. Smith Sifting the evidence—what’s wrong with significance tests?, BMJ, Volume 322 (2001), pp. 226-231 https://www.bmj.com/content/322/7280/226.1 | DOI

[18] A. Tarantola; B. Valette Generalized Nonlinear Inverse Problems Solved Using the Least Squares Criterion, Rev. Geophys. Space Phys., Volume 20 (1982), pp. 219-232 http://www.ipgp.fr/~tarantola/files/professional/papers_pdf/generalizednonlinear_latex.pdf | DOI | MR

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