Leslie Matrix to predict human population.What are the advantages and disadvantages? Assumptions etc

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I am working with Leslie Matrices to predict population data in humans.

I would like to know what are the advantages and disadvantages? What assumptions a statistician has to make when predicting data using this method and what are the alternatives that can be used to make a better decision.

Can the Leslie method be modified to give better results?

I searched the web but information on this topic is rather fragmented everywhere.