Age-Dependent Population Structures

  • Ronald W. Shonkwiler
  • James Herod
Part of the Undergraduate Texts in Mathematics book series (UTM)


This chapter presents an analysis of the distribution of ages in a population. We begin with a discussion of the aging process itself and then present some data on the age structures of actual populations. We finish with a mathematical description of age structures. Our primary interest is in humans, but the principles we present will apply to practically any mammal and perhaps to other animals as well.


Optimal Partitioning Calendar Time Gray Seal Maximum Life Span Leslie Matrix 
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References and Suggested Further Reading

  1. [1] Aging:
    T. B. L. Kirkwood, The nature and causes of ageing, in D. Evered and J. Whelan, eds., Research and the Ageing Population, Ciba Foundation Symposium, Vol. 134, Wiley, Chichester, UK, 1988, 193–202.Google Scholar
  2. [2] Aging In Humans:
    R. L. Rusting, Why do we age?, Sci. Amer., 267–6 (1992), 130–141.CrossRefGoogle Scholar
  3. [3] Perron–Frobenius Theorem:
    E. Senata, Non-Negative Matrices and Markov Chains, Springer-Verlag, New York, 1973.Google Scholar
  4. [4] Leslie Matrices:
    H. Anton and C. Rorres, Elementary Linear Algebra, Wiley, New York, 1973, 653.MATHGoogle Scholar

Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.School of MathematicsGeorgia Institute of TechnologyAtlantaUSA

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