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What controls the size of a population and how do we measure it?

Explain the factors that change population size and describe methods used to estimate populations.

Population growth, carrying capacity, density-dependent and density-independent factors, and field sampling methods including capture-mark-recapture, for TCE Biology Unit 1.

Reviewed by: AI editorial process; not yet individually human-reviewed

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What changes a population's size

A population is all the individuals of one species in an area. Its size changes through four processes:

  • Births and immigration (individuals arriving) increase the population.
  • Deaths and emigration (individuals leaving) decrease it.

When births plus immigration exceed deaths plus emigration, the population grows. The balance of these four factors over time produces the population's growth pattern.

Patterns of population growth

Two idealised growth patterns are commonly described:

  • Exponential growth: when resources are unlimited, a population grows faster and faster, producing a J-shaped curve. This cannot continue for long in nature.
  • Logistic growth: as the population approaches carrying capacity, growth slows and levels off, producing an S-shaped curve. Resource limits and rising competition cause this slowing.

In reality, populations often fluctuate around the carrying capacity rather than holding perfectly steady, rising when conditions are good and falling when they worsen.

Density-dependent factors

Density-dependent factors have a stronger effect as the population becomes more crowded. They include:

  • Competition for food, water, light, and space.
  • Predation, which often increases when prey are abundant.
  • Disease and parasites, which spread more easily at high density.
  • Accumulation of waste.

These factors act as negative feedback, pushing a population back toward its carrying capacity. As density rises, they intensify and slow growth; as density falls, they ease and allow recovery.

Density-independent factors

Density-independent factors affect a population regardless of how crowded it is. They are usually abiotic events such as:

  • Drought, flood, or fire.
  • Extreme temperatures.
  • Natural disasters such as storms or volcanic eruptions.

A bushfire kills a similar proportion of a population whether that population is large or small, so its effect does not depend on density. These factors can cause sudden, large changes in population size.

Estimating population size

It is rarely possible to count every individual, so ecologists sample and estimate. For organisms that do not move much (plants, slow invertebrates), quadrats are placed, ideally at random, and counts are scaled up to the whole area. For mobile animals, the capture-mark-recapture method is used:

  1. Capture a sample of animals, count and mark them harmlessly, then release them.
  2. Allow time for them to mix back into the population.
  3. Capture a second sample and count how many are marked.

If marked animals make up a small fraction of the second sample, the total population is large; if they make up a large fraction, the population is small. The estimate assumes the marks do not affect survival, no births, deaths, or migration occur during the study, and individuals mix randomly.

Reliability of estimates

Estimates are only as good as the sampling. Reliability improves with larger sample sizes, random placement of quadrats to avoid bias, and meeting the assumptions of the method used. Repeating the sampling and reporting a range rather than a single figure gives a more honest picture of the true population size.

Exam-style practice questions

Practice questions written in the style of TASC exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

TCE 20226 marksResearchers estimate a possum population using capture-mark-recapture. In the first capture they mark and release 4040 possums. In a second capture of 5050 possums, 88 are found to be marked. Using the Lincoln index N=M×CRN = \dfrac{M \times C}{R}, estimate the population size, and state two assumptions the method relies on.
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A 6 mark answer applies the formula correctly and states two valid assumptions.

Calculation. M=40M = 40 (marked first), C=50C = 50 (second sample), R=8R = 8 (recaptured marked). N=40×508=20008=250N = \dfrac{40 \times 50}{8} = \dfrac{2000}{8} = 250 possums.

Assumptions. Any two of: marked individuals mix randomly back into the population before the second sample; no births, deaths, immigration or emigration occur between samples; marking does not affect an animal's survival or chance of recapture; marks are not lost.

Markers reward the correct estimate of 250250 and two valid assumptions of the capture-mark-recapture method.

TCE 20245 marksDistinguish between density-dependent and density-independent factors that limit population size, giving one example of each, and explain what is meant by the carrying capacity of an environment.
Show worked answer →

A 5 mark answer distinguishes the two factor types with examples and defines carrying capacity.

Density-dependent factors
Their effect increases as population density rises; examples include competition for food, predation, and disease (which spreads faster in dense populations).
Density-independent factors
Their effect does not depend on density; examples include floods, fire, drought and extreme temperatures, which affect the same proportion regardless of how crowded the population is.
Carrying capacity
The maximum population size an environment can sustain indefinitely given its available resources (food, water, space); population tends to level off around this value.

Markers reward the density-based distinction, one valid example of each, and a correct definition of carrying capacity.

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