IDEAS home Printed from https://ideas.repec.org/a/taf/mpopst/v10y2003i3p195-210.html
   My bibliography  Save this article

Dynamic populations with uniform natural increase across states

Author

Listed:
  • Robert Schoen

Abstract

Multistate populations with changing rates of interstate transfer are an example of compartment models and depict the experience of persons in distinct but intercommunicating states. Such models can be used in analyses of many demographic phenomena, including migration, labor force participation, and health status. This paper extends present knowledge of the relationships prevailing in such dynamic models by developing procedures that yield closed form expressions relating transfer rates to the state-specific population trajectories that they generate. The focus is on a subset of multistate models that do not recognize age and that have restricted variability in rates of transfer and natural increase. Dynamics in the two state, no-growth case, where the two time-varying transfer rates always sum to a constant value, are analyzed in depth. In specified models with any number of intercommunicating states, sine and cosine fluctuations in the transfer rates are shown to yield sine and cosine fluctuations in the numbers of persons in each state.

Suggested Citation

  • Robert Schoen, 2003. "Dynamic populations with uniform natural increase across states," Mathematical Population Studies, Taylor & Francis Journals, vol. 10(3), pages 195-210.
    • Handle: RePEc:taf:mpopst:v:10:y:2003:i:3:p:195-210
    DOI: 10.1080/08898480306718
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/08898480306718
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/08898480306718?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Robert Schoen & Claudia Nau, 2009. "Intrinsically Dynamic Multistate Models," Mathematical Population Studies, Taylor & Francis Journals, vol. 16(4), pages 231-247.
    2. Robert Schoen, 2005. "Intrinsically dynamic population models," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 12(3), pages 51-76.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:mpopst:v:10:y:2003:i:3:p:195-210. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/GMPS20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.