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Leslie Growth Models

Part 3: Summary

  1. What features of an age-structured population are represented by a Leslie growth model?

  2. After a long period of time, the age distribution of a population will stay roughly the same from one growth period to the next. Explain how you find a state vector which represents this long-run age distribution.

  3. If x is a state vector for a population, and transitions during the growth period are represented by L, what is the state vector after the growth period? What is the growth in the total population during that period?

  4. What can you say about positive eigenvalues of a Leslie growth matrix? What is the significance of a positive eigenvalue and its eigenvector for describing a growth pattern?

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