The Shannon index (sometimes called the Shannon-Wiener index or Shannon-Weaver index) is a measure of diversity in

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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

H = −p₁ ln p₁ − p₂ ln p₂ − p₃ ln p₃

where pi is the proportion of species i in the ecosystem.

(a) Express H as a function of two variables using the fact that p₁ + p₂ + p₃ = 1.

(b) What is the domain of H ?

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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Question Posted: Apr 28, 2021 07:27 AM

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The Shannon index (sometimes called the Shannon-Wiener index or Shannon-Weaver index) is a measure of diversity in

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a We are given that b Because p i is a proportion we have 0 p i 1 but H is undefined unles...View the full answer

Calculus Early Transcendentals

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