BSHS Calculus 2: 05. Age-structured models – the Leslie matrix

In many species, reproduction is highly age-dependent. For instance, periodical cicadas spend 13-17 years in the nymphal stage; they only reproduce once in their lifetime. Many animals, such as humans, elephants, etc., do not reproduce during their first years and then their reproductive success is age-dependent. To model such situations, age-dependent population models are appropriate. Patrick Leslie introduced matrix models that have discrete age classes with synchronous reproduction (Leslie 1945). The models are parameterized by age-specific survival probabilities and average number of female offspring.


Claudia Neuhauser, University of Minnesota Rochester


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