Question

You sample the same plot of aquatic plants (same one as in the previous question) 5 years later after the introduction of the watermilfoil weevil (E. lecontei) for biological control of Eurasian watermilfoil. You find the following species of plants in the plot (data are plant species name and number of individuals in the plot):

Eurasian watermilfoil 12

White waterlily 11

Yellow waterlily 21

Water mustard 15

Curlyleaf pondweed 3

Narrowleaf pondweed 11

Cattail 19

Pond sedge 10

Pickerelweed 9

Calculate the Shannon-Wiener diversity index for this set of data. The Shannon-Wiener index for this plant bed after the introduction of the weevil is

Select one:

a. 2.632

b. 2.104

c. 2.397

d. 1.802

e. 3.098

Answer 1

nine species

12, 11, 21, 15, 3, 11, 19, 10, 9,

whit a total of 111 individuals

the Shannon-Wiener diversity index is used to understand the composition of a community taking in account both species richness and relative abundances:

where:

pi = proportion of sp in the total

so:

p1 =12/111 p2=11/111 p3= 21/111 p4=15/111 p5 =3/111 p6 =11/111 p7 =19/111 p8 = 10/111 p9 =9/111

p1 =0.108... p2=0.099.. p3= 0.18.. p4=0.13.. p5 =0.027.. p6 =0.099.. p7 =0.17.. p8 = 0.09.. p9 =0.81..

Then:

b. 2.104