IDEAS home Printed from https://ideas.repec.org/a/sae/envira/v5y1973i1p3-29.html
   My bibliography  Save this article

The Mathematics of Multiregional Demographic Growth

Author

Listed:
  • A Rogers

    (The Technological Institute, Northwestern University, Evanston, Illinois, USA)

Abstract

Mathematical demography traditionally has been concerned with the dynamics of the growth and structure of a population that is undisturbed by migration. In particular, attention has been directed at the relationships between a regional population's fertility and mortality schedules and its growth and age distribution. Recently, however, studies by the author and others have extended the mathematical theory of population growth in order to examine the relationships between a multiregional population's fertility, mortality, and mobility schedules and its growth and regional age distributions. This paper summarizes and reviews the major contributions of these studies.

Suggested Citation

  • A Rogers, 1973. "The Mathematics of Multiregional Demographic Growth," Environment and Planning A, , vol. 5(1), pages 3-29, February.
    • Handle: RePEc:sae:envira:v:5:y:1973:i:1:p:3-29
    DOI: 10.1068/a050003
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/a050003
    Download Restriction: no
    File URL: https://libkey.io/10.1068/a050003?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
    ---><---

    References listed on IDEAS

    as
    1. Andrei Rogers, 1966. "The multiregional matrix growth operator and the stable interregional age structure," Demography, Springer;Population Association of America (PAA), vol. 3(2), pages 537-544, June.
    2. Andrei Rogers, 1967. "Estimating Interregional Population And Migration Operators From Interregional Population Distributions," Demography, Springer;Population Association of America (PAA), vol. 4(2), pages 515-531, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Andrel Rogers, 1974. "The multiregional net maternity function and multiregional stable growth," Demography, Springer;Population Association of America (PAA), vol. 11(3), pages 473-481, August.
    2. Nijkamp, Peter & Van Wissen, Leo & Rima, Annemarie, 1993. "A household life cycle model for residential relocation behaviour," Socio-Economic Planning Sciences, Elsevier, vol. 27(1), pages 35-53, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sample, Christine & Bieri, Joanna A. & Allen, Benjamin & Dementieva, Yulia & Carson, Alyssa & Higgins, Connor & Piatt, Sadie & Qiu, Shirley & Stafford, Summer & Mattsson, Brady J. & Semmens, Darius J., 2019. "Quantifying source and sink habitats and pathways in spatially structured populations: A generalized modelling approach," Ecological Modelling, Elsevier, vol. 407(C), pages 1-1.
    2. Cáceres, Manuel O. & Cáceres-Saez, Iris, 2013. "Calculating effective growth rate from a random Leslie model: Application to incidental mortality analysis," Ecological Modelling, Elsevier, vol. 251(C), pages 312-322.
    3. James Nichols & James Hines, 2002. "Approaches for the direct estimation of u , and demographic contributions to u , using capture-recapture data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 29(1-4), pages 539-568.
    4. Hisashi Inaba, 2009. "The net reproduction rate and the type-reproduction number in multiregional demography," Vienna Yearbook of Population Research, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna, vol. 7(1), pages 197-215.
    5. Pianese, Augusto & Attias, Anna & Bianchi, Sergio & Varga, Zoltàn, 2020. "On the asymptotic equilibrium of a population system with migration," Insurance: Mathematics and Economics, Elsevier, vol. 92(C), pages 115-127.
    6. Andrel Rogers & Burkhard Rabenau, 1971. "Estimation of interregional migration streams from place-of-birth-by-residence data," Demography, Springer;Population Association of America (PAA), vol. 8(2), pages 185-194, May.
    7. Herrchen, Beate, 1989. "Bevölkerungsmodelle: Konzepte, Anwendungen, Erweiterungsmöglichkeiten," Discussion Papers, Series II 84, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    8. Leroy Stone, 1968. "Stable migration rates from the multiregional growth matrix operator," Demography, Springer;Population Association of America (PAA), vol. 5(1), pages 439-442, March.
    9. Dalkhat M Ediev & Mustafa Murat Yüceşahin, 2016. "Contribution of migration to replacement of population in Turkey," Migration Letters, Migration Letters, vol. 13(3), pages 377-392, September.
    10. Coste, Christophe F.D. & Austerlitz, Frédéric & Pavard, Samuel, 2017. "Trait level analysis of multitrait population projection matrices," Theoretical Population Biology, Elsevier, vol. 116(C), pages 47-58.
    11. Marcia Castro, 2007. "Spatial Demography: An Opportunity to Improve Policy Making at Diverse Decision Levels," Population Research and Policy Review, Springer;Southern Demographic Association (SDA), vol. 26(5), pages 477-509, December.
    12. A Rogers, 1980. "Introduction to Multistate Mathematical Demography," Environment and Planning A, , vol. 12(5), pages 489-498, May.
    13. Andrei Rogers, 1973. "Estimating internal migration from incomplete data using model multiregional life tables," Demography, Springer;Population Association of America (PAA), vol. 10(2), pages 277-287, May.
    14. Andrel Rogers, 1974. "The multiregional net maternity function and multiregional stable growth," Demography, Springer;Population Association of America (PAA), vol. 11(3), pages 473-481, August.
    15. Griffith Feeney, 1970. "Stable age by region distributions," Demography, Springer;Population Association of America (PAA), vol. 7(3), pages 341-348, August.

    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:sae:envira:v:5:y:1973:i:1:p:3-29. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: SAGE Publications (email available below). General contact details of provider: .

    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.