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Estimating population size

Ecology and the environment · The organism in the environment · note 3 of 6

Estimating population sizeSpec 4.2

In short

Population size is estimated by counting organisms in randomly placed quadrats and scaling up: estimated population = mean number per quadrat × (total area ÷ area of one quadrat). For example, a mean of 4 daisies in 0.25 m² quadrats across a 100 m² field gives 1600 daisies. Plants hard to count individually are measured by percentage cover.

You cannot count every organism in a large area, so you count the organisms in a sample of quadrats and scale up the mean to the whole area.

estimated population = mean number per quadrat × (total area ÷ area of one quadrat)

Estimating a population

A student counted daisies in five 0.25 m² quadrats placed randomly in a field of area 100 m². The counts were 3, 5, 4, 6 and 2. Estimate the number of daisies in the field.

  1. Mean per quadrat = (3 + 5 + 4 + 6 + 2) ÷ 5 = 20 ÷ 5 = 4
  2. Number of quadrat areas in the field = 100 ÷ 0.25 = 400
  3. Estimated population = 4 × 400 = 1600

Answer: 1600 daisies

Plants that are difficult to count individually, such as grass, can be measured by percentage cover: the percentage of the quadrat covered by the species.

  • Take as many quadrats as possible, because a bigger sample is more representative and reduces the effect of anomalies.
  • Place quadrats randomly, to avoid bias.
  • Calculate a mean from the raw data. A bar chart or frequency table is useful for presenting the results.
Maths skill:

Check the units. If the quadrat is 0.5 m by 0.5 m its area is 0.25 m², not 0.5 m². This is the most common slip in estimate questions.

Written and checked against the Edexcel IGCSE Biology (4BI1) specification · Updated October 2026

Frequently asked questions

What is the difference between a population and a community?

A population is all the organisms of one species living in the same area, such as all the badgers in a wood. A community is all the populations of different species living in that area, such as the badgers, foxes, oak trees, insects and fungi. If more than one species is mentioned, it is a community.

How do you estimate population size using quadrats?

Place quadrats randomly, count the organisms in each and calculate the mean number per quadrat. Then multiply the mean by the total area divided by the area of one quadrat. For example, a mean of 4 per 0.25 m² quadrat in a 100 m² field gives an estimate of 4 × 400 = 1600.

Why are quadrats placed randomly and how many should you use?

Quadrats are placed randomly, using coordinates from a random number generator, so the sample is not biased by the person choosing where to put them. You should use as many as possible, at least 10, because a bigger sample is more representative, reduces the effect of anomalies and gives a more reliable mean.

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