60000 70000 50000 60000 O OC 50000 G O 40000 O 40000 O Bird count 30000 O N(t+1) 30000 20000 20000 10000 10000 20 40 60 80 100 0 10000 20000 30000 40000 50000 60000 Years N(t) Figure 5.3. The first return map, showing Figure 5.1. Red-tailed hawk bird count in N(t + At) as a function of N(t), for the the US, from 1900 (year 1) to 2004 (year Audubon Society red-tailed hawk bird 105), based on data collected by the count. The straight line has slope 1.025. Audubon Society.Problem 1 Assume that a population grows according to N(t + 1) = KN(t), k > 1. 1. How long does it take to double the number of individuals? 2. Estimate the value of K from Figure 5.1, which shows the number of Red-tailed Hawks in the United States as a function of time. 3. Is your estimate of K in reasonable agreement with the value