Height and the normal distribution: Evidence from Italian military data

Brian A'Hearn, Franco Peracchi and Giovanni Vecchi
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Brian A'Hearn: Franklin & Marshall College

No 124, CEIS Research Paper from Tor Vergata University, CEIS

Abstract: Height data offer insights into the well-being of populations and historical periods for which other indicators are lacking. Researchers modeling historical heights have typically relied on the restrictive assumption of a normal (Gaussian) distribution, only the mean of which is affected by age, income, nutrition, disease, and similar influences. We develop a different approach, in which covariates – age in particular – are allowed to affect the entire distribution without imposing any parametric shape. We apply this method to a new database of height distributions for Italian provinces drawn from conscription records. The data are of unprecedented length and geographic disaggregation, but suffer from a variety of statistical problems: variation in the age at measurement in particular. Our method allows us to standardize distributions to a single age and calculate moments of the distribution that are comparable through time. The distribution of heights at age 20 is not normal over most of our sample. Our method also allows us to generate counterfactual distributions for a range of ages, from which we derive age-height profiles. These reveal how the adolescent growth spurt (AGS) distorts the distribution of stature, and document the earlier and earlier onset of the AGS as living conditions improved over the second half of the nineteenth century. Our new estimates of provincial mean height also reveal a previously unnoticed “regime switch” from regional convergence to divergence in this period. In the light of this evidence, previous assumptions about regional economic development during Italian industrialization will need to be reexamined.

Keywords: Human height; normal distribution; semi-parametric modelling; Italy (search for similar items in EconPapers)
JEL-codes: C14 J11 N33 (search for similar items in EconPapers)
Pages: 37 pages
Date: 2008-07-14, Revised 2008-07-14
New Economics Papers: this item is included in nep-his
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (8)

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Journal Article: Height and the normal distribution: evidence from italian military data (2009)
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