Community Ecology (College Board AP® Biology) : Study Guide
Simpson's index of diversity
Simpson’s index of diversity (D) can be used to quantify the biodiversity of an area
Once the abundance of different species in an area has been recorded, the results can be used to calculate the species diversity for that area
Species diversity looks at:
the number of different species in an area; species richness
the evenness of abundance across the different species in that area; species evenness
Simpson's index of diversity is used to study the structure of communities, including:
species composition, i.e. which species are present
species diversity
Calculating Simpson's index
The formula is:
Where:
n = total number of organisms for a single species
N = total number of organisms for all species
To calculate Simpson’s Index:
Step 1: 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 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 backyard were collected using sweep nets and identification keys.
Calculate Simpson’s index of diversity for the data collected, using the formula:
Answer:
The results and working out are seen in the table below. The figures have been rounded to three decimal places for columns 3 and 4.
Species | Number of individuals (n) | n/N | (n/N)2 |
---|---|---|---|
Northern brown Argus butterfly | 7 | 0.035 | 0.001 |
Ladybug | 34 | 0.168 | 0.028 |
Forester moth | 6 | 0.030 | 0.001 |
Wasp | 21 | 0.104 | 0.011 |
Grass spider | 12 | 0.059 | 0.003 |
Bee | 37 | 0.183 | 0.033 |
Hornet | 7 | 0.035 | 0.001 |
Fly | 19 | 0.094 | 0.009 |
Highland midge | 59 | 0.292 | 0.085 |
Total number of organisms (N) | 202 | ∑(n/N)2 = 0.172 |
D = 1 - 0.172 = 0.828
This is a high value for biodiversity because the value of D is closer to 1 than 0
Examiner Tips and Tricks
Remember, you will be provided with the formula for Simpson’s Index in the exam so you do not need to recall this.
Interactions between populations
Communities change over time due to changing interactions between different members of the community
Relationships among interacting populations can be both positive and negative, and can be a major driving force in population dynamics
Examples of biotic factors in an ecosystem that can alter population dynamics include:
predator/prey interactions, e.g. as predators thrive, this puts pressure on prey populations
trophic cascades; the effects of adding or removing a top predator from a food web which impacts all species and energy distribution
competition; competition for resources drives natural selection, where those best adapted will survive
niche partitioning; natural selection drives species to occupy slightly different niches, or to use resources slightly differently to each other, to reduce competition
symbiosis:
Parasitism; a symbiotic relationship which results in harm to one organism whilst the other derives benefit, e.g. ticks that live on rhinos in Africa
Commensalism; one organism benefits whilst the other neither benefits or is harmed, e.g. cattle egrets which benefit from the disturbance of insects from the grass being eaten by cattle - the cattle don't benefit from this relationship but the egrets do
Mutualism; both organisms benefit from the relationship with one another, e.g. oxpeckers feasting on ticks from the back of rhinos in Africa
The structure of a community is dependent on energy availability
Survival of organisms and species relies on there being sufficient energy available in the previous trophic level
Access to that energy then determines the availability of matter and energy to the next trophic level
Changes to the structure of a community will have a knock-on effect on all species that are interdependent
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