P.H. Leslie’s scientific contributions

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Publications (1)

On the Use of Matrices in Certain Population Mathematics
  • Article

November 1945

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303 Reads

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2,705 Citations

Biometrika

P.H. Leslie

Leslie’s work, rather than that of his predecessors Bernardelli and Lewis, is most commonly cited in the widespread literature using matrices, largely for the reason that Leslie worked out the mathematics and the application with great thoroughness. Some of his elaboration was designed to save arithmetic—for example his transformation of the projection matrix into an equivalent form with unity in the subdiagonal positions. Such devices, like a considerable part of classical numerical analysis, are unnecessary in a computer era.

Citations (1)

... N t,i is a vector of the population in different age classes at location i and time t, γ is the total number of voyages that ships take in one-time step, B is a diagonal matrix with elements corresponding to age-dependent hitchhiking rate, and A is the Leslie matrix that captures age-dependent life-history schedules of zebra mussels such as reproduction, survival, and mortality (Leslie, 1945). When the invader population is structured by ontogenetic stages, we replace the Leslie matrix with the Lefkovitch matrix to capture stage-dependent life-history events (Lefkovitch, 1965). ...

Reference:

A mechanistic statistical approach to infer invasion characteristics of human‐dispersed species with complex life cycle
On the Use of Matrices in Certain Population Mathematics
  • Citing Article

  • November 1945

Biometrika

P.H. Leslie