Syllabus Edition

First teaching 2020

Last exams 2024

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Simpson's Index (CIE A Level Biology)

Revision Note

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Phil

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Phil

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Simpson's Index

  • Once the abundance of different species in an area has been recorded, the results can be used to calculate the species diversity or biodiversity for that area
  • Species diversity looks at the number of different species in an area but also the evenness of abundance across the different species
  • Simpson’s index of diversity (D) can be used to quantify the biodiversity of an area

Simpson's index

    • The formula is:

 straight d equals space 1 minus open parentheses sum from blank to blank of open parentheses straight n over straight N close parentheses squared close parentheses

  • To calculate Simpson’s Index:
    • Step 1: The first step is to calculate (n ÷ N) for each species
    • Step 2: Square each of these values
    • Step 3: Add them together and subtract the total from 1

  • The possible values of D are significant:
      • The value of D can fall between 0 and 1
      • Values near 1 indicate high levels of biodiversity
      • Values near 0 indicate low levels of biodiversity

Worked example

Samples of different insect species in a back garden were collected using sweep nets and identification keys.

Use the data to calculate Simpson’s Index.

The results and calculations are seen in the table below. The figures have been rounded to four decimal places for columns 3 and 4

Species Number of individuals (n) n/N (n/N)2
Northern brown argus butterfly 7 0.0347 0.0012
Ladybird 34 0.1683 0.0283
Forester moth 6 0.0297 0.0009
Wasp 21 0.1040 0.0108
Grass spider 12 0.0594 0.0035
Bee 37 0.1832 0.0336
Hornet 7 0.0347 0.0012
Fly 19 0.0941 0.0088
Highland midge 59 0.2921 0.0853
Total no. of organisms (N) 202 nN2= 0.1737{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}

D = 1 - 0.1737 = 0.826 (3dp)

As the value of D is much closer to 1 than 0, it can be said that this is a relatively high value of biodiversity.

Examiner Tip

Remember, you will be provided with the formula for Simpson’s Index in the exam. You need to be able to carry out the calculation to test for correlation, as you could be asked to do this in the exam. This also means you should understand when it is appropriate to use the different statistical tests, and the conditions in which each is valid.

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Phil

Author: Phil

Expertise: Biology

Phil has a BSc in Biochemistry from the University of Birmingham, followed by an MBA from Manchester Business School. He has 15 years of teaching and tutoring experience, teaching Biology in schools before becoming director of a growing tuition agency. He has also examined Biology for one of the leading UK exam boards. Phil has a particular passion for empowering students to overcome their fear of numbers in a scientific context.