Question

Solve each problem. See Examples $4,6,7,$ and 9. A virgin forest in northwestern Pennsylvania has 4 species of large trees with the following proportions of each: hemlock, $0.521 ;$ beech, $0.324 ; \quad$ birch, $0.081 ; \quad$ maple, 0.074 Find the measure of diversity $H$ to the nearest thousandth.

Name: Problem 74, Chapter 4: Student's Solutions Manual for College Algebra
Uploaded: 2021-06-05T19:53:26-08:00
Duration: 2 min 31 s
Channel: Christian Otero
Description: Solve each problem. See Examples 4,6,7, and 9. A virgin forest in northwestern Pennsylvania has 4 species of large trees with the following proportions of each: hemlock, 0.521 ; beech, 0.324 ; birch, 0.081 ; maple, 0.074 Find the measure of diversity H to the nearest thousandth.

   Solve each problem. See Examples $4,6,7,$ and 9.
A virgin forest in northwestern Pennsylvania has
4 species of large trees with the following proportions of each:
hemlock, $0.521 ;$ beech, $0.324 ; \quad$ birch, $0.081 ; \quad$ maple, 0.074
Find the measure of diversity $H$ to the nearest thousandth.

Student's Solutions Manual for College Algebra

Margaret L. Lial,… 12th Edition

Chapter 4, Problem 74

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Solved by Expert Christian Otero

06/05/2021

Step 1

These are given as follows: Hemlock: $0.521$ Beech: $0.324$ Birch: $0.081$ Maple: $0.074$ Show more…

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Solve each problem. See Examples $4,6,7,$ and 9. A virgin forest in northwestern Pennsylvania has 4 species of large trees with the following proportions of each: hemlock, $0.521 ;$ beech, $0.324 ; \quad$ birch, $0.081 ; \quad$ maple, 0.074 Find the measure of diversity $H$ to the nearest thousandth.

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Key Concepts

Shannon Diversity Index

The Shannon Diversity Index is a measure used in ecology to quantify the diversity of species in a community. It takes into account both the number of species and the evenness of their distribution, using the formula H = -? p? ln(p?), where p? represents the proportion of each species in the community.

Species Proportions

Species proportions refer to the relative abundance of each species in a community. These are calculated by dividing the count or importance of each species by the total, and they are crucial for calculating diversity indices, as they weight each species’ contribution to the overall diversity.

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