übertool: web applications for ecological risk assessment (beta version)
Cloud-based environmental models used by the USEPA for evaluating pesticide risks to ecosystems under the Federal Insecticide, Fungicide, and Rodenticide Act (FIFRA) and the Endangered Species Act (ESA).
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Leslie Matrix Overview


Leslie matrix (model) is a discrete, non-negative, age-structured model, which describes the development, mortality, and reproduction of organisms over a period of time. As one of the most popular models in population ecology, it was invented by Patrick H. Leslie in 1945.

A typical Leslie model is written as:

which can be expanded into:

Thus a Leslie matrix contains:

  • age-specific fertilities in the first row
  • age-specific survival probabilities in the subdiagonal
  • zeros elsewhere