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The Leslie matrix (1945)

In: A Short History of Mathematical Population Dynamics

Author

Listed:
  • Nicolas Bacaër

    (IRD (Institut de Recherche pour le Développement))

Abstract

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.

Suggested Citation

  • Nicolas Bacaër, 2011. "The Leslie matrix (1945)," Springer Books, in: A Short History of Mathematical Population Dynamics, chapter 0, pages 117-120, Springer.
    • Handle: RePEc:spr:sprchp:978-0-85729-115-8_21
    DOI: 10.1007/978-0-85729-115-8_21
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