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Keyfitz Entropy×Lifespan Inequality×
FieldDemographyDemography
FamilyProcess / pipelineProcess / pipeline
Year of origin19772003
OriginatorNathan KeyfitzLifespan-variation literature; life disparity formalized by Vaupel & Canudas-Romo
TypeElasticity of life expectancy to proportional mortality change / lifespan dispersion measureMeasures of variability in the age-at-death distribution
Seminal sourceKeyfitz, N. (1977). Applied Mathematical Demography. John Wiley & Sons, New York. ISBN: 9780471473503Vaupel, J. W., & Canudas-Romo, V. (2003). Decomposing change in life expectancy: A bouquet of formulas in honor of Nathan Keyfitz's 90th birthday. Demography, 40(2), 201–216. DOI ↗
AliasesLife-Table Entropy, Keyfitz-Leser Entropy, Entropy of the Survival CurveLifespan Variation, Life Disparity, Variation in Age at Death
Related44
SummaryKeyfitz's entropy, usually written H, is a dimensionless summary of a life table that measures how sensitive life expectancy is to a proportional change in mortality, and equivalently how unequal the distribution of ages at death is. Introduced by Nathan Keyfitz, it is the elasticity of life expectancy at birth with respect to the force of mortality: an H near one means deaths are spread across all ages so that reducing mortality everywhere lengthens life proportionally, while an H near zero means deaths are concentrated near the maximum lifespan so further mortality reductions yield little gain. It bridges the demography of survival and the broader study of lifespan inequality.Lifespan inequality measures how unequally length of life is distributed within a population — the spread of the life-table ages at death, not just their average. Two populations can share the same life expectancy yet differ sharply in how predictable death is: in one nearly everyone reaches old age, in the other deaths are scattered across all ages. A family of measures — life disparity (e†), the standard deviation of age at death, the life-table Gini coefficient, and Keyfitz entropy — quantifies this dispersion, complementing life expectancy with a measure of how fairly survival is shared.
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ScholarGateCompare methods: Keyfitz Entropy · Lifespan Inequality. Retrieved 2026-06-24 from https://scholargate.app/en/compare