In 1945 the British ecologist P.H. Leslie analyzed a matrix model for an age-structured population of rodents, thus adapting Lotka’s work to a discrete-time framework. He emphasized that the growth rate corresponds to an eigenvalue and the “stable” age structure to an eigenvector. He also estimated numerically the “net reproduction rate” R 0 for the brown rat.


Animal Population Grey Squirrel Real Positive Root Leslie Matrix Population Mathematic 
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Further reading

  1. 1.
    Anonymous: Dr P. H. Leslie. Nature 239, 477–478 (1972) Google Scholar
  2. 2.
    Crowcroft, P.: Elton’s Ecologists, A History of the Bureau of Animal Population. University of Chicago Press (1991).
  3. 3.
    Leslie, P.H.: On the use of matrices in certain population mathematics. Biometrika 33, 213–245 (1945) CrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.IRD (Institut de Recherche pour le Développement)BondyFrance

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