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Arriaga Meets Kitagawa. Life Expectancy Decomposition With Population Subgroups

Bibliographic Data

ID21321699
AuthorsTim Riffe (0000-0002-2673-4622, OPIK, Department of Sociology and Social Work University of the Basque Country (EHU) Leioa Bizkaia Spain, corresponding author), Rustam Tursun‐zade (OPIK, Department of Sociology and Social Work University of the Basque Country (EHU) Leioa Bizkaia Spain, corresponding author), Sergi Trias Llimós (Department of Political and Social Sciences, DemoSoc Research Group Universitat Pompeu Fabra Barcelona Spain, corresponding author)
Year2026
Volume58
Issue2
Publication date2026-04-01
Open AccessYes
TypeARTICLE
VenueGeographical Analysis (JOURNAL)
Journal identifiersISSN: 0016-7363 • E-ISSN: 1538-4632
PublisherWiley (PUBLISHER • GB)
DOI10.1111/gean.70033
OpenAlexW7134202463
LanguageEN
Citations received1
References cited33

An Arriaga decomposition partitions differences in life expectancy into contributions from mortality rate differences in each age. A Kitagawa decomposition partitions a difference between two weighted means into effects from differences in structure and from differences in each element of the weighted value. Life expectancy differences between like‐defined subpopulations can be decomposed using the Arriaga method, or a different suitable decomposition method. If combined (or total) life expectancy is treated as a weighted average of the subpopulations, then the results of subgroup‐specific decompositions can substitute the rate component from a Kitagawa decomposition of combined life expectancy. This is valid as long as the relative weight of each subpopulation is part of the initial conditions of the combined lifetable, and group prevalence in later ages is determined only by mortality. The composition component of the same Kitagawa decomposition gives the effect of differing subgroup composition on total life expectancy differences. Notable properties of the method include: (i) it accommodates any number of subpopulations, (ii) it easily incorporates cause‐of‐death information, and (iii) composition is considered only in the initial conditions. We apply the method to Spanish cause‐ and education‐specific data. This method can further disentangle the effects of mortality and composition differences, helping to explain or clarify paradoxes and contemporary or forthcoming life expectancy changes as partly driven by shifts in cohort composition. We give both R code and spreadsheet implementations of the method

Component (thermodynamics) · Composition (language) · Decomposition · Decomposition method (queueing theory) · Life expectancy · Population · Health disparities and outcomes · Health Systems, Economic Evaluations, Quality of Life · Insurance, Mortality, Demography, Risk Management

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Citations per year1
Citation span2026 - 2026 (1)
Highly citedNo

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