Concept explainers
The Shannon index (sometimes called the Shannon-Wiener index or Shannon-Weaver index) is a measure of diversity in an ecosystem. For the case of three species, it is defined as
where
(a) Express H as a function of two variables using the fact that
(b) What is the domain of H?
(c) Find the maximum value of H. For what values of
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Calculus (MindTap Course List)
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