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Estimating the number of organisms

Ecosystems and material cycles · Fieldwork and sampling · note 2 of 2

Estimating the number of organismsSpec 9.6

In short

Population size is estimated by sampling, because you cannot count every organism in a large area. Use the equation: estimated population = mean number per quadrat × (total area ÷ area of one quadrat). Many randomly placed quadrats give a more reliable estimate, and percentage cover is used for plants that are hard to count, such as grass.

You cannot count every organism in a large area, so you take samples and use them to estimate the total. A larger number of quadrats, placed randomly, gives a more reliable estimate.

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.

Other points to understand about sampling:

  • 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.

Quick check

  1. How do you stop bias when placing quadrats?

    Show answer

    Use random numbers to choose the coordinates.

  2. What does a belt transect show?

    Show answer

    How the distribution of organisms changes along an environmental gradient.

  3. Write the equation for estimating a population from quadrat data.

    Show answer

    Mean per quadrat × (total area ÷ area of one quadrat).

  4. Why use many quadrats?

    Show answer

    To give a more representative and reliable sample, and reduce the effect of anomalies.

Written and checked against the Edexcel GCSE Biology (1BI0) specification · Updated October 2026

Frequently asked questions

How do you use a quadrat to estimate population size?

Place many quadrats randomly in the area and count the chosen species in each one. Find the mean number per quadrat, then multiply it by the total area divided by the area of one quadrat. For example, a mean of 4 daisies in 0.25 m² quadrats across a 100 m² field gives 1600 daisies.

Why should quadrats be placed randomly?

Quadrats should be placed randomly to avoid bias, so the samples represent the whole area. Mark out the area with two tape measures at right angles and use a random number generator to pick coordinates. Taking many quadrats also gives a more reliable estimate and reduces the effect of anomalies.

How do you carry out a belt transect?

Lay a tape measure in a straight line across the habitat, for example from under a tree out into open grass. Place a quadrat at regular intervals, such as every 2 m, and count the organisms in it. At each point measure an environmental factor, such as light intensity with a light meter, then plot a graph.

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