Question

3.13 Exercises an animal lives three years. 1. Suppose reproduce. The second year it is an adolescent and reproduces at a rate of 0.8 female The first year it is immature and does not offspring per female individual. The last year it is an adult and produces 3.5 female offspring per female individual. Further suppose that 80% of the first-year females survive to become second-year females, and 90% of second-year females survive to become third. year females. All third-year females die. We are interested in modeling only the female 736 portion of this population. a. Draw a state diagram for this scenario. b. Construct the Leslie matrix. c. Compute the eigenvalues for this matrix. From these determine if the population will eventually grow or decline. What is the rate of this growth (or decline)? d. Suppose that a population of 100 first-year females are released into a study area along with a sufficient number of males for reproductive needs. Track the female population over 10 years. e. Compute the eigenvector associated with the dominant eigenvalue. Normalize both this eigenvector and the population distribution after 10 years. Compare these two vectors. 2. Showing that a model is yalid con modal i.

Answer 1

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