Question

the simpsons diversity index is an equation that can be used to calculate the biodiversity of an ecosystem by considering both species richness and species evenness. one form of the equation is:
diversity index = $1 - \sum \left(\frac{n}{n}\
ight)^2$
in this equation:

• $n$ = # of individuals of a particular species
• $n$ = total # of individuals of all species

the closer the result is to 1, the more diverse the ecosystem.
practice
in the freshwater ecosystem to the right, calculate the following data:

population	$n$ (# of individuals)
river snail
wood turtle
perch (fish)

add the individuals from each population to calculate $n$.
what is $n$?
follow the link to watch a video demonstration of how to use simpsons diversity index to calculate the biodiversity of the aquatic ecosystem. as you watch, complete the calculation. show your work in the space below.

Explanation:

Step1: Count individuals per species

• Coontail (plant): 2 (two groups of plants)
• River snail: 3 (three snails)
• Wood turtle: 2 (two turtles)
• Perch (fish): 1 (one fish)

Step2: Calculate total N

Sum the counts: \( N = 2 + 3 + 2 + 1 = 8 \)

Answer:

\( N = 8 \)