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A unified framework of demographic time.

Tim Riffe1, Jonas Schöley1, Francisco Villavicencio1

  • 1Max-Planck-Institut für Demografische Forschung, Rostock, MV Germany.

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This study introduces a new framework expanding demographic analysis beyond the traditional Lexis diagram. It incorporates remaining life, total life span, and death time for richer population dynamics insights.

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Area of Science:

  • Demography
  • Population Dynamics
  • Event History Analysis

Background:

  • Traditional demographic analysis relies on the Lexis diagram, linking age, period, and birth cohort.
  • The Lexis diagram underrepresents or incompletely situates measures like remaining years of life, total life span, and time of death.
  • Existing demographic models lack a comprehensive framework for integrating these underutilized time measures.

Purpose of the Study:

  • To introduce a novel identity between six key demographic time measures: age, period, birth cohort, remaining life, total life span, and time of death.
  • To develop a generalized framework for analyzing population dynamics using these expanded time measures.
  • To demonstrate the utility of this framework in applied demographic research, such as measuring late-life morbidity.

Main Methods:

  • Describing a mathematical identity connecting six demographic time measures.
  • Developing sub-identities and associated diagrams for visualizing these relationships.
  • Applying the framework to empirical data for late-life morbidity prevalence estimation.
  • Generalizing the framework to higher-order identities involving multiple events in calendar time.

Main Results:

  • Established a comprehensive identity encompassing six crucial demographic time measures.
  • Developed novel diagrams and sub-identities for visualizing these relationships.
  • Successfully applied the framework to measure late-life morbidity prevalence.
  • Demonstrated the generalizability of the framework to diverse event history data and population dynamics.

Conclusions:

  • The proposed framework offers a more complete representation of demographic time than the traditional Lexis diagram.
  • This expanded approach enhances the analysis of population dynamics in both human and non-human populations.
  • The framework provides a versatile tool for uncovering patterns in event history data across various scales of time.