(The Ricker model continued) Suppose that the initial size of a population is P0 300 and

Chapter 13, Problem 66

(choose chapter or problem)

(The Ricker model continued) Suppose that the initial size of a population is P0 300 and that the size of the population at the end of year t is given by (a) Use a graphing utility to compute the population sizes through the end of year t 5. (As in Example 5, round the final answers to the nearest integers.) Then use the graphing utility to draw the population scatter plot for t 0, 1, . . . , 5. Give a general description (in complete sentences) of how the size of the population changes over this period. (b) Use a graphing utility to compute the population sizes through the end of year t 20, and draw the scatter plot. To help you see the pattern, use the option on your graphing utility that connects adjacent dots in a scatter plot with line segments. Describe the population trend that emerges over the period t 15 to t 20. (c) For a clearer view of the long-term population behavior, use a graphing utility to compute the population sizes for the period t 25 to t 35, and draw the scatter plot. As in part (b), use the option on your graphing utility that connects adjacent dots with line segments. Summarize (in complete sentences) what you observe.