Why ecologists take samples
Habitat
A habitat is the place in which an organism lives.
Population
A population is all the organisms of one species living in a defined area at the same time.
Random sampling
Random sampling is sampling in which every position in the habitat has an equal chance of being selected, so the sample is unbiased.
- A habitat holds far more organisms than anyone could count one by one, so an ecologist measures a small part of it and scales the result up to the whole area.
- The small part that is measured is called a sample, and the values recorded in it are used to estimate the values for the whole habitat.
- Counting every individual would take far too long, would trample and damage the habitat, and would be impossible for organisms that are buried, hidden under stones or moving between areas.
- A sample is only useful if it is representative, meaning the species and their proportions inside the sample match those across the whole habitat.
- Choosing where to place a sample by eye introduces bias, because a person is drawn towards patches that look unusual, easy to reach or rich in the species being studied.
- Random sampling removes that bias by using a random number generator to select the coordinates of each sample position, so every point in the habitat has the same chance of being chosen.
- A single sample may land on an unusual patch, so many samples are taken and a mean is calculated, which makes the estimate more reliable.
- Two separate measurements are taken from the samples: abundance, which answers how many, and distribution, which answers whereabouts.
The greater the number of samples taken, the closer the mean is likely to be to the true value for the whole habitat.
Abundance, distribution and density
Abundance
Abundance is the number of individuals of a species present in a given area.
Distribution
Distribution is the pattern of where a species is found across a habitat.
Population density
Population density is the mean number of individuals of a species per unit area of habitat.
- Abundance is recorded either as a count of individuals, as a percentage cover, or on a descriptive scale such as abundant, common, frequent, occasional and rare.
- Counting individuals works for animals and for plants that grow as separate units, such as daisies, dandelions and plantains.
- Percentage cover is used instead for plants that spread sideways into a mat, such as grass, moss or clover, where one plant cannot be separated from the next.
- Population density allows two habitats of different sizes to be compared fairly, because it is always expressed per unit area.
- Density is calculated as density=number of individualsarea\text{density}=\dfrac{\text{number of individuals}}{\text{area}}density=areanumber of individuals and is written with units such as m−2\text{m}^{-2}m−2.
- Distribution describes the pattern across the habitat, for example whether a species is spread evenly, clumped into patches, or restricted to one end of the area.
- A pattern in distribution is usually explained by an abiotic factor that changes across the habitat, such as light intensity, soil moisture, soil pH, temperature or exposure to wind.
- A pattern may also be explained by a biotic factor, such as competition for light from a taller species or grazing by rabbits along one edge of a field.
- Do not give a number of individuals when a question asks about distribution.
- Abundance is how many individuals are present, and distribution is whereabouts in the habitat they are found.
Equipment for collecting organisms
Quadrat
A quadrat is a square frame of known area placed on the ground so that the organisms inside it can be counted or estimated.
Pooter
A pooter is a sealed jar fitted with two tubes that is used to draw small invertebrates into the jar without touching or harming them.
Identification key
An identification key is a series of paired statements about observable features that is followed step by step to name an unknown organism.
- A quadrat is a rigid square frame of known area, commonly 0.5 m×0.5 m0.5\ \text{m}\times0.5\ \text{m}0.5 m×0.5 m, which encloses an area of 0.25 m20.25\ \text{m}^20.25 m2.
- A gridded quadrat is divided by wires into 100100100 small squares, so the number of small squares a species occupies can be read straight off as a percentage cover.
- A pooter is used for small insects: the collector sucks on one tube while the other tube is held over the insect, and the insect is drawn into the jar by the moving air.
- A fine gauze is fixed across the inner end of the mouth tube, which stops the insect or any dust being drawn into the collector's mouth.
- A sweep net is swung through long grass in a figure of eight, and the invertebrates knocked off the stems collect in the bag at the end of each sweep.
- A pond net is swept through open water and through weed, and the catch is emptied into a shallow white tray so that pale, small animals show up clearly against the background.
- A pitfall trap is a container sunk into the soil with its rim level with the surface, so that ground-dwelling invertebrates walk in and fall to the bottom.
- A stone raised on pebbles is placed over the pitfall trap, which keeps out rain and stops birds taking the catch.
- A beating tray is held under a branch while the branch is tapped sharply, so that the invertebrates living on the leaves drop onto the sheet and can be collected.
- An identification key is then used to name what has been caught, using paired statements about visible features that are followed one step at a time until a single species is left.
- A key only gives the right answer if each feature is checked properly, so specimens are examined in a tray or under a hand lens rather than identified from memory.
Traps and nets are emptied carefully and the organisms are returned to the exact place they were collected from, so the habitat is left as it was found.
Estimating the abundance of a plant species using quadrats
- Aim: to estimate the mean number of daisy plants per square metre on a school field, and to use that mean to estimate the total number on the whole field.
- Apparatus: a 0.5 m×0.5 m0.5\ \text{m}\times0.5\ \text{m}0.5 m×0.5 m gridded quadrat, two 30 m30\ \text{m}30 m tape measures, a random number generator or table of random numbers, a trundle wheel for measuring the field, a results table, a clipboard, a pencil and a calculator.
- Method, setting up the sampling area:
- Lay one tape measure along one edge of the field and the second tape at right angles to it from the same corner, so the two tapes act as the axes of a grid.
- Measure the length and the width of the whole field with the trundle wheel and record both, because the total area is needed at the end.
- Generate pairs of random numbers, using the first number of each pair as the distance along the first tape and the second number as the distance along the second tape.
- Method, taking the samples:
- Walk to the first pair of coordinates and place the quadrat flat on the ground with its corner on that point, then leave it where it lands rather than shifting it to a tidier patch.
- Count every daisy plant rooted inside the quadrat, and count a plant on the boundary only if it is rooted inside the two chosen adjacent sides, so that no plant is counted twice.
- Record the count in the results table beside the coordinates used.
- Repeat for at least 101010 further quadrat positions, each one chosen by a new pair of random numbers.
- Take all the readings on the same day and in the same weather, because trampling and growth change the field over time.
- Results: record the quadrat number and the count of daisies in a table, then add a row for the total and a row for the mean number per quadrat.
- Maths: divide the total count by the number of quadrats to find the mean per quadrat, then convert to a density with density=mean countquadrat area\text{density}=\dfrac{\text{mean count}}{\text{quadrat area}}density=quadrat areamean count, and finally estimate the population with population=density×total area\text{population}=\text{density}\times\text{total area}population=density×total area.
- Watch out: placing the quadrat by eye or throwing it makes the sample biased, too few quadrats give a mean that swings wildly between repeats, and counting plants rooted just outside the frame inflates every count.
- Safety: check the ground for broken glass and animal waste before kneeling, wash hands after handling soil and plants, and do not sample close to water or a road.
Scaling a sample up to a population estimate
Percentage cover
Percentage cover is the proportion of the area inside a quadrat that is occupied by one species, expressed as a percentage.
- The mean number per quadrat is found by adding the counts from every quadrat and dividing by the number of quadrats used.
- The mean is then converted into a population density using density=mean number per quadratarea of one quadrat\text{density}=\dfrac{\text{mean number per quadrat}}{\text{area of one quadrat}}density=area of one quadratmean number per quadrat.
- The estimated total population is found with population=density×total area of the habitat\text{population}=\text{density}\times\text{total area of the habitat}population=density×total area of the habitat.
- The same calculation can be done in one step with population=total areaarea of one quadrat×mean number per quadrat\text{population}=\dfrac{\text{total area}}{\text{area of one quadrat}}\times\text{mean number per quadrat}population=area of one quadrattotal area×mean number per quadrat.
- Both areas must be in the same unit before dividing, so a quadrat area given in cm2\text{cm}^2cm2 is converted to m2\text{m}^2m2 first, using 1 m2=10 000 cm21\ \text{m}^2=10\,000\ \text{cm}^21 m2=10000 cm2.
- Percentage cover is estimated from a gridded quadrat by counting the small squares that are more than half filled by the species, then treating that count as a percentage.
- Percentage cover is scaled up to an area rather than to a number, so 40%40\%40% cover across a 200 m2200\ \text{m}^2200 m2 field means about 80 m280\ \text{m}^280 m2 of the field is covered by that species.
- The answer is always an estimate, because it is calculated from a small fraction of the habitat rather than from a complete count.
Estimating a daisy population on a field
- Eleven quadrats of area 0.25 m20.25\ \text{m}^20.25 m2 are sampled and give a total of 777777 daisies on a field measuring 40 m40\ \text{m}40 m by 25 m25\ \text{m}25 m.
- Mean number per quadrat: 7711=7\dfrac{77}{11}=71177=7 daisies.
- Population density: 70.25=28\dfrac{7}{0.25}=280.257=28 daisies per m2\text{m}^2m2.
- Total area of the field: 40×25=1000 m240\times25=1000\ \text{m}^240×25=1000 m2.
- Estimated population: 28×1000=28 00028\times1000=28\,00028×1000=28000 daisies.
Answering scaling-up questions
- Write the mean per quadrat down as a separate line before scaling, because that value carries a mark of its own even when the final answer is wrong.
- Check the quadrat area rather than assuming it, since a 0.5 m0.5\ \text{m}0.5 m quadrat has an area of 0.25 m20.25\ \text{m}^20.25 m2 and dividing by 0.50.50.5 halves the answer instead of doubling it.
- Give the answer as a whole number of organisms and state that it is an estimate.
- Quote the unit on a density, written as per m2\text{m}^2m2 or as m−2\text{m}^{-2}m−2.
Using a transect to study distribution
Transect
A transect is a line laid across a habitat along which samples are taken at set intervals to show how distribution changes.
Abiotic factor
An abiotic factor is a non-living physical or chemical feature of the environment that affects organisms.
- Random sampling spreads quadrats evenly over a whole area, so it estimates abundance well but hides any pattern that runs in one direction.
- A transect is used instead when the question is how a species changes across a gradient, such as from open grass into the shade under a hedge, or from the water's edge up a sand dune.
- A transect is systematic sampling, because the sampling points are set at fixed intervals along a line rather than chosen at random.
- A line transect records only the species that touch the line at each marked point, which is quick and suits a steep, narrow gradient.
- A belt transect places a quadrat at each interval along the line and records abundance inside it, which gives quantitative data at every point.
- A continuous belt transect places quadrats end to end with no gaps, while an interrupted belt transect places them at set intervals such as every 2 m2\ \text{m}2 m, which covers a long gradient in a reasonable time.
- At every point, the abundance of the species and the value of at least one abiotic factor are recorded, so the two sets of data can be compared.
- Light intensity is measured with a light meter, air and soil temperature with a thermometer, soil pH with a pH probe, and soil water with a moisture meter.
- The results are plotted with distance along the transect on the horizontal axis, so that abundance and the abiotic factor can be read against the same scale.
- A matching rise and fall in the two lines shows a correlation between the species and that factor, but it does not by itself prove the factor is the cause.
Investigating how a species is distributed along a transect
- Aim: to investigate how the percentage cover of a shade-tolerant plant changes with light intensity on a transect running from open grass into the shade of a hedge.
- Apparatus: a 20 m20\ \text{m}20 m tape measure, tent pegs, a 0.5 m×0.5 m0.5\ \text{m}\times0.5\ \text{m}0.5 m×0.5 m gridded quadrat, a light meter, a soil moisture meter, a thermometer, a results table, a clipboard and a pencil.
- Method, laying the transect:
- Choose a line that runs straight across the gradient, from fully open grass to the deepest shade beneath the hedge.
- Lay the tape measure along that line and secure both ends with tent pegs so the tape cannot be pulled out of position.
- Mark the sampling points at fixed 2 m2\ \text{m}2 m intervals along the tape.
- Method, taking the readings:
- Place the quadrat on the same side of the tape at each interval, with one corner on the mark, so every sample is positioned in the same way.
- Count the small squares more than half covered by the plant and record that number as the percentage cover.
- Hold the light meter just above the vegetation at the centre of the quadrat, with the sensor facing upwards, and record the light intensity.
- Push the moisture meter probe into the soil to the same depth at every point and record the reading once it steadies.
- Work along the transect without standing on the quadrat positions ahead, because trampled vegetation gives a false low reading.
- Repeat the whole transect along two more parallel lines a few metres apart and calculate a mean for each distance, which shows whether the pattern is real or particular to one line.
- Results: tabulate distance along the transect against percentage cover, light intensity and soil moisture, then plot percentage cover and light intensity against distance on the same axes.
- Maths: calculate the mean percentage cover at each distance from the three transects, and describe the trend by quoting figures from each end, for example a fall from 70%70\%70% in the open to 15%15\%15% under the hedge.
- Watch out: readings taken over several hours are not comparable because the sun moves, a shadow cast by the person holding the meter lowers the light reading, and a transect laid along the gradient rather than across it shows no change at all.
- Safety: wear gloves when working near a hedge with thorns, keep away from unstable banks and open water, and wash hands after handling soil.
Capture-recapture for animals that move
Capture-recapture
Capture-recapture is a method of estimating the size of an animal population by marking a first sample and recording how many marked individuals are caught in a second sample.
- Quadrats are useless for animals that run, fly or swim away, because the animal leaves the frame before it can be counted.
- Capture-recapture is used instead, and it estimates the population from the proportion of marked animals that turn up in a second catch.
- A first sample is caught, the number is recorded, every animal is marked harmlessly, and all of them are released back into the same place.
- Enough time is left for the marked animals to mix evenly back into the population, usually one or two days for small mammals.
- A second sample is then caught in the same way, and the total caught and the number carrying a mark are both recorded.
- The population is estimated with N=n1×n2m2N=\dfrac{n_1\times n_2}{m_2}N=m2n1×n2, where n1n_1n1 is the number caught and marked first, n2n_2n2 is the number caught in the second sample and m2m_2m2 is the number of marked animals in that second sample.
- A small proportion of marked animals in the second catch means the marked individuals were diluted by a large population, so the estimate comes out high.
- The method assumes there are no births, deaths, immigration or emigration between the two samples.
- It also assumes the mark stays on and is not washed, rubbed or licked off, since a lost mark makes the population look larger than it is.
- It assumes the mark does not affect survival, so a bright paint that makes an animal easier for a predator to see would push the estimate too high.
- Finally it assumes every individual has an equal chance of being caught, which fails if an animal trapped once learns to avoid the trap, or returns to it for the bait.
Estimating a woodlouse population
- A first sample of 606060 woodlice is caught under logs, marked on the underside with a dot of non-toxic paint and released.
- Two days later a second sample of 808080 woodlice is caught from the same logs, and 161616 of them carry a mark.
- Substituting into N=n1×n2m2N=\dfrac{n_1\times n_2}{m_2}N=m2n1×n2 gives N=60×8016N=\dfrac{60\times80}{16}N=1660×80.
- The estimated population is 300300300 woodlice.
Answering capture-recapture questions
- Label the three numbers in the question before substituting, because marks are most often lost by putting the number of marked recaptures on the top line.
- Write the equation out in full first, since it earns a mark even when the arithmetic that follows is wrong.
- Round the answer to a whole number of animals, because a fraction of an organism cannot exist.
- When asked to comment on the estimate, name one assumption and say which way it would shift the answer, for example that marks rubbing off would make the estimate too large.
Making a field investigation reliable
- The same size of quadrat is used throughout, because counts from quadrats of different areas cannot be combined into one mean.
- The same person estimates percentage cover for the whole investigation, since two people judge the halfway point of a small square differently.
- All the samples are taken on the same day and at a similar time, because light, temperature and animal activity change through the day and through the season.
- At least ten samples are taken, and more are added until the running mean stops changing much, which shows that enough of the habitat has been covered.
- An anomalous result is identified before the mean is calculated and is checked rather than quietly deleted, for example a quadrat that happened to land on a footpath.
- Repeating a transect along two or three parallel lines shows whether a pattern holds across the habitat or was a feature of one line.
- The method is described in enough detail for another student to repeat it exactly, which is what makes the results reproducible.
- Do not claim that an abiotic factor causes a pattern in distribution just because the two change together.
- Factors that were never measured, such as grazing, trampling or competition, may be responsible for the pattern.
- Say instead that the data show a correlation, and name a further factor that would need to be measured.
- State the difference between the abundance and the distribution of a species.
- Explain why quadrat positions are chosen using random numbers rather than by eye.
- A mean of 666 plants is counted per 0.25 m20.25\ \text{m}^20.25 m2 quadrat on a field of 800 m2800\ \text{m}^2800 m2. Calculate the estimated population.
- Describe how a belt transect is set up and what is recorded at each point along it.
- Write the equation used to estimate a population size by capture-recapture and say what each term stands for.
- Give two assumptions made in the capture-recapture method.