Question

A community of plants contains three species. On a collecting trip, you find that 80 plants...

A community of plants contains three species. On a collecting trip, you find that 80 plants are species A, 60 are species B, and 60 are species C. Based on this sample, what is the Shannon index of the plant community?

a. [0.8 (ln 0.8) + 0.6 (ln 0.6) + 0.6 (ln 0.6)] I need to know how to do this not just the answer please.

b. –[0.8 (ln 0.8) – 0.6 (ln 0.6) + 0.6 (ln 0.6)]

c. –[0.4 (ln 0.4) + 0.6 (ln 0.3) + 0.6 (ln 0.3)]

d. –[0.4 (ln 0.4) + 0.3 (ln 0.3) + 0.3 (ln 0.3)]

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Answer #1

Shannon diversity index is used to calculate the diversity of species in a given habitat. It is calculated by dividing the never of individuals in species 1 by the total number of individuals in all species. Then it us multiplied by its natural log. Then all of these values are added together. So, Shannon's index us calculated by,

= -(80/200 × ln (80/200) + 60/200 × ln (60/200) + 60/200 × ln (60/200))

= -(0.4 (ln 0.4) + 0.3 (ln 0.3) + 0.3 (ln (0.3))

( option d)

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