1: A population ecology study was performed in 2000 on the abundance of Pacific Tree Frogs. In the study, researchers used an estimator for the number of tree frogs in a study patch which depended on how many were captured during two consecutive days in the area. Researchers tagged each frog caught on the first day, so they knew if they re-captured any of those frogs on the second day. The estimator for population size of the study patch that the researchers used was Chapman's method, which gives an estimate of N = (n1 1)(n2 1) r 1 1 frogs, where n1 is the number captured on day one, n2 is the number captured on day two, and r is the number of re-captures between the two days. Question: Suppose the number of frog captured on the second day is 9 and the number of re-captures is 4. Then we can write N as a function of n1: N = f (n1). Find the range of values n1 of so that the inequality f (n1) < n1 is true. Write a sentence to explain why, in the context of estimating the number of frogs in the study area