Calculate the index of diversity for this site using the formula:
d = \frac{N(N-1)}{\Sigma(n(n-1))}
Where:
- N = Total number of individuals
- n = Number of individuals of each species - AQA - A-Level Biology - Question 4 - 2017 - Paper 3
Question 4
Calculate the index of diversity for this site using the formula:
d = \frac{N(N-1)}{\Sigma(n(n-1))}
Where:
- N = Total number of individuals
- n = Number of indivi... show full transcript
Worked Solution & Example Answer:Calculate the index of diversity for this site using the formula:
d = \frac{N(N-1)}{\Sigma(n(n-1))}
Where:
- N = Total number of individuals
- n = Number of individuals of each species - AQA - A-Level Biology - Question 4 - 2017 - Paper 3
Step 1
Calculate Total Number of Individuals (N)
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The total number of individuals (N) can be calculated from the table:
Sign up now to view full answer, or log in if you already have an account!
Answer
Now calculate \Sigma(n(n-1)) for each species:
For Hydrocotyle vulgaris: 3(3−1)=3×2=6
For Plantago maritima: 19(19−1)=19×18=342
For Ranunculus acris: 3(3−1)=6
For Hieracium pilosellum: 3(3−1)=6
For Calligonum cuspidatum: 10(10−1)=90
For Prunella vulgaris: 16(16−1)=240
For Pseudoscleropodium purum: 6(6−1)=30
Adding these together:
Σ(n(n−1))=6+342+6+6+90+240+30=720
Step 3
Calculate the Index of Diversity (d)
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Plugging the values into the formula gives:
d=72059(59−1)=72059×58=7203422≈4.92
Therefore, the index of diversity for this site is approximately 4.92.