Volume 32 - Article 29 | Pages 827–834  

The force of mortality by life lived is the force of increment by life left in stationary populations

By Tim Riffe

This article is part of the ongoing Special Collection 8 "Formal Relationships"


Background: The age distribution and remaining lifespan distribution are identical in stationary populations. The life table survival function is proportional to the age distribution in stationary populations.

Objective: We provide an alternative interpretation of the life table when viewed by remaining years of life.

Conclusions: The functions describing the mortality of birth cohorts over age are identical to the functions describing the growth of death cohorts as time to death decreases in stationary populations.

Author's Affiliation

  • Tim Riffe - Euskal Herriko Unibertsitatea (University of the Basque Country), Spain EMAIL

Other articles by the same author/authors in Demographic Research

Bayesian implementation of Rogers–Castro model migration schedules: An alternative technique for parameter estimation
Volume 49 - Article 42

Editorial to the Special Issue on Demographic Data Visualization: Getting the point across – Reaching the potential of demographic data visualization
Volume 44 - Article 36

Lexis fields
Volume 42 - Article 24

Exploring the demographic history of populations with enhanced Lexis surfaces
Volume 42 - Article 6

Symmetries between life lived and left in finite stationary populations
Volume 35 - Article 14

Most recent similar articles in Demographic Research

Measuring short-term mobility patterns in North America using Facebook advertising data, with an application to adjusting COVID-19 mortality rates
Volume 50 - Article 10    | Keywords: COVID-19, data collection, Facebook, mortality, North America, short-term mobility

Fertility decline, changes in age structure, and the potential for demographic dividends: A global analysis
Volume 50 - Article 9    | Keywords: age structure, demographic dividend, demographic transition, fertility, migration, population momentum, working-age population

Immigrant mortality advantage in the United States during the first year of the COVID-19 pandemic
Volume 50 - Article 7    | Keywords: COVID-19, immigrants, mortality

The optimal transition to a stationary population for concentrated vitality rates
Volume 50 - Article 6    | Keywords: adaptation of net reproduction rate, age-structured optimal control theory, stationary population, transitional path

Analyzing hyperstable population models
Volume 49 - Article 37    | Keywords: birth trajectory, cohort analysis, cyclical populations, dynamic population model, fertility, hyperstable, period

Cited References: 15

Download to Citation Manager


Google Scholar

Article ID