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Some extensions of the use of matrices in population theory

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Abstract

This paper extends Leslie's vector and matrix treatment of populations. A simple matrix is given for species in which adult mortality and fertility are independent of age, but in which the juvenile mortality rate differs from the adult. The population vector can be changed into a population matrix. This should allow equations using functions of the size of the population to be developed. Genetic variables such as sex or other polymorphisms can be introduced, and the notation allows different systems of selection or non-random mating to be specified.

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Literature

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Williamson, M.H. Some extensions of the use of matrices in population theory. Bulletin of Mathematical Biophysics 21, 13–17 (1959). https://doi.org/10.1007/BF02476455

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  • DOI: https://doi.org/10.1007/BF02476455

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