🎲 How to be random
Lay two tape measures at right angles to mark out the area. Use a random number generator to pick two numbers, one for each tape. Place the quadrat where those two distances meet. Repeat for every sample.
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Unlock This CourseAn ecologist cannot count every daisy on a school field or every snail in a wood. There are far too many, and they move about. Instead, they look at a small part of the habitat and use it to work out what the whole habitat is like. This is called sampling.
A range of methods using quadrats and transects is used to find out two things about a species in an ecosystem:
Key terms:
A quadrat is placed on the ground and you count how many individuals of your chosen species are inside the frame. Quadrats work best for plants and for slow-moving animals.
To get a fair result you must sample at random. This means every part of the habitat has an equal chance of being sampled. If you only pick the neat, easy places, your result is biased and will not represent the whole habitat.
Lay two tape measures at right angles to mark out the area. Use a random number generator to pick two numbers, one for each tape. Place the quadrat where those two distances meet. Repeat for every sample.
One quadrat could land on a bare patch or a thick patch. The more quadrats you place, the better your results will match the real habitat.
A transect is used when conditions change across a habitat, for example from the edge of a hedge out into the open field, or from the shore up a beach. Because conditions change along the line, the species found there may change too.
This shows how the distribution of a species changes along the line. A random sample cannot show this, because the quadrats are scattered with no pattern.
Once you have your counts, you can estimate how many individuals live in the whole area:
estimated population = mean number per quadrat × (total area of habitat ÷ area of one quadrat)
A student places six 1 m2 quadrats at random on a field of area 200 m2. The numbers of clover plants are 3, 8, 5, 8, 2 and 10. The mean is 36 ÷ 6 = 6 plants per m2. The field is 200 times bigger than one quadrat, so the estimate is 6 × 200 = 1,200 clover plants.
It is only an estimate. A bigger sample gives a more reliable one.
These three are all kinds of average. Remember, the mean is the one you use to estimate a population.
Use the clover counts 3, 8, 5, 8, 2, 10.
Mean = (3 + 8 + 5 + 8 + 2 + 10) ÷ 6 = 36 ÷ 6 = 6.
Mode = 8, because it appears twice.
Median: in order the values are 2, 3, 5, 8, 8, 10. The middle two are 5 and 8, so the median is (5 + 8) ÷ 2 = 6.5.
Key terms:
Transect results are easiest to see on a graph. Follow these steps:
For example, if the counts fall from 18 near the hedge to 2 at 10 m away, a line graph with a clear downward slope shows the species is more abundant near the hedge.
Placing quadrats by throwing them or choosing nice places is not truly random. Forgetting to divide by the number of quadrats when finding the mean is common. Students also mix up mode (most common) with median (middle), and forget to put values in order before finding the median.
A student investigated buttercups in a field of area 500 m2. She placed ten 1 m2 quadrats and counted the buttercups in each: 4, 6, 4, 5, 7, 3, 4, 6, 2, 4.
(a) Explain why she should place the quadrats at random. [2 marks]
(b) Calculate the mean number of buttercups per quadrat. [2 marks]
(c) Estimate the number of buttercups in the field. [2 marks]
(d) Give the mode of her results. [1 mark]
(a) So that every part of the field has an equal chance of being sampled (1), so the result is not biased and represents the whole field (1).
(b) Total = 45 (1). 45 ÷ 10 = 4.5 buttercups per quadrat (1).
(c) 4.5 × 500 (1) = 2,250 buttercups (1).
(d) 4, because it appears four times, more than any other value (1).
In (c), the field is 500 m2 and each quadrat is 1 m2, so multiply the mean by 500. Always show the sum for the mean so you can pick up a mark even if your final answer is slightly out.