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Generalized Lotka stability

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  • Smith, J.D.H.
  • Zhang, C.

Abstract

The recently developed macroscopic approach to demography describes the age distribution of mothers and the net maternity function for a given human population entirely in terms of five parameters. Tracking of these parameters provides a number of new tools for analyzing populations and predicting their future states. Within the macroscopic approach, the new concept of generalized Lotka stability is presented in this paper, as an extension of a strong version of classic Lotka stability. The two leading parameters of the macroscopic approach, the Malthusian parameter r and the perturbation s, are computed from population data and plotted in two-dimensional parameter space. Generalized Lotka stability is then defined in terms of the movement of the (r,s)-vector over time. It may be observed in a number of human populations at specific periods of their history.

Suggested Citation

  • Smith, J.D.H. & Zhang, C., 2015. "Generalized Lotka stability," Theoretical Population Biology, Elsevier, vol. 103(C), pages 38-43.
    • Handle: RePEc:eee:thpobi:v:103:y:2015:i:c:p:38-43
    DOI: 10.1016/j.tpb.2015.04.006
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    References listed on IDEAS

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    1. Robert Schoen, 2009. "The metastable birth trajectory," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 21(25), pages 759-764.
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    Cited by:

    1. Bajcz, Alex W. & Hiebeler, David & Drummond, Francis A., 2017. "Grid-Set-Match, an agent-based simulation model, predicts fruit set for the lowbush blueberry (Vaccinium angustifolium) agroecosystem," Ecological Modelling, Elsevier, vol. 361(C), pages 80-94.
    2. Jorge Celis & Andrea Cuenca, 2016. "La educación media en Colombia: una mirada al contexto internacional," Documentos de trabajo 17663, Escuela de Gobierno - Universidad de los Andes.
    3. Wenfeng Wang & Xi Chen & Guiwei Zhang & Jing Qian & Peng Wei & Boqian Wu & Hongwei Zheng, 2018. "Precision Security: Integrating Video Surveillance with Surrounding Environment Changes," Complexity, Hindawi, vol. 2018, pages 1-10, February.

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