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Entropy of the Gompertz-Makeham mortality model

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  • Tomasz Wrycza

    (Max-Planck-Institut für Demografische Forschung)

Abstract

Background: Life table entropy is a quantity frequently used in demography; e.g., as a measure of heterogeneity in age at death, or as the elasticity of life expectancy with regards to proportional changes in age-specific mortality. It is therefore instructive to calculate its value for the widely used Gompertz-Makeham mortality model. Objective: I present and prove a simple expression of life table entropy for the Gompertz-Makeham model, which ties together the parameters of the model with demographically relevant quantities. Comments: The relationship shows that entropy is easily calculated from the parameters of the given model, life expectancy and the average age in the stationary population. The latter enters the equation only if the Makeham term c is different from zero.

Suggested Citation

  • Tomasz Wrycza, 2014. "Entropy of the Gompertz-Makeham mortality model," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 30(49), pages 1397-1404.
    • Handle: RePEc:dem:demres:v:30:y:2014:i:49
    DOI: 10.4054/DemRes.2014.30.49
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    References listed on IDEAS

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    Cited by:

    1. Jose Manuel Aburto & James W. Vaupel & Jesús-Adrián Alvarez & Francisco Villavicencio, 2019. "The threshold age of the lifetable entropy," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 41(4), pages 83-102.
    2. Wen Su & Vladimir Canudas-Romo, 2024. "Cross-sectional Average Length of Life Entropy ( $${\mathcal{H}}_{\text{CAL}}$$ H CAL ): International Comparisons and Decompositions," European Journal of Population, Springer;European Association for Population Studies, vol. 40(1), pages 1-23, December.
    3. Annette Baudisch & Jose Manuel Aburto, 2024. "How lifespan and life years lost equate to unity," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 50(24), pages 643-666.
    4. Marie-Pier Bergeron-Boucher & Vladimir Canudas-Romo & Marcus Ebeling, 2015. "Decomposing changes in life expectancy: Compression versus shifting mortality," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 33(14), pages 391-424.

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    More about this item

    Keywords

    life table entropy; Gompertz–Makeham law of mortality;

    JEL classification:

    • J1 - Labor and Demographic Economics - - Demographic Economics
    • Z0 - Other Special Topics - - General

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