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Intrinsically Dynamic Multistate Models

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  • ROBERT SCHOEN
  • CLAUDIA NAU

Abstract

Multistate life table models, which follow persons through more than one living state, have found increasing use in demographic analyses. Multistate stable populations, however, are infrequently used because the constant rate assumption is quite strong and such populations can take centuries to approach stability. Dynamic models, that is models where the rates can change over time, are examined to derive a new solution for the size and composition of a multistate population in terms of the sequence of underlying population projection matrices (PPMs). Constraints on the subordinate eigenvalues and the subordinate eigenvectors of the time-varying PPMs produce a model population that grows according to the dominant eigenvalues of each time-specific PPM and has a state composition that depends only on the most recent PPM. The two living state model is examined in detail, relationships between the PPM elements and the size and composition of the model are explored, and two illustrative applications of the model are presented.

Suggested Citation

  • Robert Schoen & Claudia Nau, 2009. "Intrinsically Dynamic Multistate Models," Mathematical Population Studies, Taylor & Francis Journals, vol. 16(4), pages 231-247.
    • Handle: RePEc:taf:mpopst:v:16:y:2009:i:4:p:231-247
    DOI: 10.1080/08898480903251496
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    References listed on IDEAS

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    1. Robert Schoen, 2003. "Dynamic populations with uniform natural increase across states," Mathematical Population Studies, Taylor & Francis Journals, vol. 10(3), pages 195-210.
    2. Robert Schoen, 2005. "Intrinsically dynamic population models," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 12(3), pages 51-76.
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    Cited by:

    1. Richiardi, Matteo & He, Zhechun, 2020. "Measuring economic insecurity: a simulation approach," Centre for Microsimulation and Policy Analysis Working Paper Series CEMPA2/20, Centre for Microsimulation and Policy Analysis at the Institute for Social and Economic Research.

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