Each of 100 individuals of a mammal specieswas placed in enclosure containing equalamount of each of five different foods. Thefrequency with which the animals chose eachof the foods was:Sample 1fi18Sample 2fiFood item(i)172020317464212418(a) Calculate the Shannon-Wiener diversity indexand evenness index for each sample.(b) Which sample has higher diversity?(c) Describe a sample frequency (of n = 100) thatachieve the highest diversity.

Sample 1: (i) f(i) P(i) ln(P(i)) P(i)×ln(Pi) 1 18 0.18 -1.715 -0.3087 2 20 0.2 -1.609 -0.3218…

Answered: Each of 100 individuals of a mammal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Each of 100 individuals of a mammal species
was placed in enclosure containing equal
amount of each of five different foods. The
frequency with which the animals chose each
of the foods was:
Sample 1
fi
18
Sample 2
fi
Food item
(i)
1
7
20
20
3
17
46
4
21
24
18
(a) Calculate the Shannon-Wiener diversity index
and evenness index for each sample.
(b) Which sample has higher diversity?
(c) Describe a sample frequency (of n = 100) that
achieve the highest diversity.

Expert Solution

Step 1

Sample 1:

(i)	f(i)	P(i)	ln(P(i))	P(i) $\times$ ln(Pi)
1	18	0.18	-1.715	-0.3087
2	20	0.2	-1.609	-0.3218
3	17	0.17	-1.771	-0.30124
4	21	0.21	-1.561	-0.32781
5	24	0.24	-1.427	-0.342
	Sum = 100			-1.60203

Sample 2:

(i)	f(i)	P(i)	ln(P(i))	P(i) $\times$ ln(P(i)
1	7	0.7	-0.3566	-0.24969
2	20	0.20	-1.6094	-0.3218
3	46	0.46	-0.7765	-0.35729
4	9	0.09	-2.4079	-0.0948
5	18	0.18	-1.7147	-0.3087
	100			-1.33218

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