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On Monotonic Convergence To Stability

Author

Listed:
  • Dalkhat Ediev

    (International Institute for Applied Systems Analysis (IIASA))

Abstract

The paper introduces a class of distances to stable equivalent, which monotonically decrease to zero as a population moves to stability. Kullback distance expected earlier to be a unique measure of such types turns to be a specimen of this class. It is shown that the very feature of monotonic distance is in weighing with demographic potentials of age specific deviations from stable equivalent. The paper also introduces a class of monotonic measures for convergence of different populations with common reproductive futures. Results obtained shed new light on the process of stabilization and can be used to develop different measures of age structure dynamics.

Suggested Citation

  • Dalkhat Ediev, 2003. "On Monotonic Convergence To Stability," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 8(2), pages 31-60.
    • Handle: RePEc:dem:demres:v:8:y:2003:i:2
    DOI: 10.4054/DemRes.2003.8.2
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    References listed on IDEAS

    as
    1. W. Arthur, 1982. "The Ergodic Theorems of Demography: a Simple Proof," Demography, Springer;Population Association of America (PAA), vol. 19(4), pages 439-445, November.
    2. Robert Schoen & Young Kim, 1991. "Movement toward stability as a fundamental principle of population dynamics," Demography, Springer;Population Association of America (PAA), vol. 28(3), pages 455-466, August.
    3. Nathan Keyfitz, 1969. "Age distribution and the stable equivalent," Demography, Springer;Population Association of America (PAA), vol. 6(3), pages 261-269, August.
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    Cited by:

    1. Damos, Petros, 2015. "Mixing times towards demographic equilibrium in insect populations with temperature variable age structures," Theoretical Population Biology, Elsevier, vol. 103(C), pages 93-102.
    2. Dalkhat M. Ediev, 2008. "Robert Schoen (ed.): Dynamic Population Models," European Journal of Population, Springer;European Association for Population Studies, vol. 24(1), pages 119-124, March.
    3. Dalkhat M. Ediev, 2005. "Extension of Fisher's Classical Result on Exponential Dynamics of the Reproductive Value to a Wide Class of Populations," VID Working Papers 0509, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna.

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    More about this item

    Keywords

    monotonic convergence of populations; distance to stability; stable population theory; demographic potentials; age structure;
    All these keywords.

    JEL classification:

    • J1 - Labor and Demographic Economics - - Demographic Economics
    • Z0 - Other Special Topics - - General

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