Index of Diversity (AQA A Level Biology)

Revision Note

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Lára Marie McIvor

Written by: Lára Marie McIvor

Reviewed by: Lucy Kirkham

The Index of Diversity

  • 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

  • An index of diversity is a measurement that describes the relationship between the number of species present and how each species contributes to the total number of organisms that are present in that community

  • It is a much more informative measurement than species richness

    • For example, habitat A has 10 different plant species and habitat B has 7 different plant species

    • Habitat A would have a greater species richness score than habitat B

    • However, in habitat A there is only one individual of each plant species present (10 individuals present) while in habitat B there are over 20 individuals of each species present (over 140 individuals present)

    • Habitat B would have a greater index of diversity than habitat A

The index of diversity formula

  • The formula is:

d space equals space fraction numerator N open parentheses N minus 1 close parentheses over denominator capital sigma n open parentheses n minus 1 close parentheses end fraction

  • Where:

    • n = total no. of organisms for a single species in the community

    • N = total no. of organisms in the community

    • Σ = sum of

  •  The larger the number obtained, the higher the level of diversity

Maths Skill: Calculating the Index of Diversity

d equals fraction numerator N open parentheses N minus 1 close parentheses over denominator capital sigma n open parentheses n minus 1 close parentheses end fraction

  • To calculate:

    • Step 1: Calculate N(N-1) to find value A

    • Step 2: Calculate n(n-1) for each species

    • Step 3: Add these numbers together to find value B

    • Step 4: Divide value A by value B

  • The possible values of index diversity are significant:

    • The larger the number obtained, the higher the levels of diversity

Worked Example

Samples of different insect species in a back garden were collected using sweep nets and identification keys. Use the data recorded to calculate the index of diversity.

Index of diversity question table, downloadable AS & A Level Biology revision notes

The formula is:

d equals fraction numerator N open parentheses N minus 1 close parentheses over denominator capital sigma n open parentheses n minus 1 close parentheses end fraction

       Step one:       Calculate N(N-1) to find value A

N(N-1) = 202(202-1) = 202(201) = 40602

       Step two:       Calculate n(n-1) for each species       

       Step three:     Add these numbers together to find value B

Index of diversity working table, downloadable AS & A Level Biology revision notes

      Step four:      Divide value A by value B

40602÷ 6884 = 5.898

Index of Diversity,d = 5.90

Examiner Tips and Tricks

Remember, you will be provided with the formula in the exam.

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Lára Marie McIvor

Author: Lára Marie McIvor

Expertise: Biology Lead

Lára graduated from Oxford University in Biological Sciences and has now been a science tutor working in the UK for several years. Lára has a particular interest in the area of infectious disease and epidemiology, and enjoys creating original educational materials that develop confidence and facilitate learning.

Lucy Kirkham

Author: Lucy Kirkham

Expertise: Head of STEM

Lucy has been a passionate Maths teacher for over 12 years, teaching maths across the UK and abroad helping to engage, interest and develop confidence in the subject at all levels.Working as a Head of Department and then Director of Maths, Lucy has advised schools and academy trusts in both Scotland and the East Midlands, where her role was to support and coach teachers to improve Maths teaching for all.