Leslie Matrix

The most common matrix model is an age-based matrix, also known as the Leslie matrix. In the age-based matrix, individuals in a population are separated into equal age classes (Nx) with each age class assigned a realized fecundity (Fx) and a probability of survival to the next age class (Px). Within the transitional matrix MA, Fx is put along the top row and Px along the subdiagonal, while all other elements in the matrix are assigned a value of zero (Figure 2). Future population states can be projected by placing the current number of individuals in each age class into a vector n and obtaining the product of the Mn matrices:

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