Populations and communities — IB Diploma Biology SL

IB Biology C4.1: population sampling, Lincoln index, carrying capacity, growth curves, mutualism, competition, chi-squared and predator–prey control.

Spec C4.1Ecosystems (Interaction and interdependence), subtopic 1 of 2

Revision notes

9 short notes, in the order of the specification. Each one in short:

  1. A population is an interacting group of organisms of the same species living in an area. Members normally breed with each other, and reproductive isolation separates one population from another. Population size is usually estimated by random sampling, for example with randomly placed quadrats for sessile organisms, because counting every individual is rarely possible.

  2. Capture–mark–release–recapture estimates the size of a population of motile animals. A sample is caught, marked and released; later a second sample is caught and the marked individuals in it are counted. The Lincoln index gives the estimate: population size = (M × N) ÷ R. It assumes marked animals mix randomly and are as likely to be recaught.

  3. Carrying capacity is the maximum population size that an environment can support sustainably. It is set by limited resources such as food, water, space, light or nesting sites. Density-dependent factors such as competition, predation and the spread of pathogens push a population back towards the carrying capacity by negative feedback, while density-independent factors cause fluctuations.

  4. Population growth curves model how numbers change over time. When resources are plentiful and limiting factors are absent, a population grows exponentially, giving a J-shaped curve. As density-dependent factors take effect, growth slows and numbers level off at the carrying capacity, giving a sigmoid (S-shaped) curve. Exponential growth plots as a straight line on a logarithmic scale.

  5. Intraspecific relationships are between members of the same species. They compete for limited resources such as food, territory and mates, but may also cooperate, for example by hunting in packs. A community is all the interacting populations in an area. Interspecific relationships include herbivory, predation, interspecific competition, mutualism, parasitism and pathogenicity.

  6. Mutualism is an interspecific relationship that benefits both species. In root nodules of legumes (Fabaceae), Rhizobium bacteria fix nitrogen for the plant and receive sugars. Orchid mycorrhizal fungi supply sugars and minerals to the orchid and receive carbon compounds once it photosynthesises. Zooxanthellae in hard corals supply photosynthetic products; the coral provides carbon dioxide, nutrients and a sheltered, sunlit position.

  7. An invasive species is an introduced species that spreads and outcompetes endemic species because it acquires resources more effectively. Interspecific competition is indicated, but not proven, if one species is more successful when the other is absent. It is tested by laboratory experiments, field observations and removal experiments. A chi-squared test checks whether two species are associated.

  8. Predator–prey relationships are an example of density-dependent control of animal populations. When prey are abundant, predators thrive and increase; heavier predation then reduces prey, so predators decline and prey recover. Populations can be controlled top-down, by predators at higher trophic levels, or bottom-up, by the supply of resources such as nutrients, but one usually dominates.

  9. Allelopathy is the release of chemicals by a plant that inhibit the germination or growth of other plants nearby, such as juglone from black walnut. Secretion of antibiotics is the release by microorganisms, such as Penicillium fungi, of chemicals that kill or inhibit bacteria. Both release a substance into the environment to deter potential competitors.

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Quick check questions

  1. What is the Lincoln index formula?

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    Population size estimate = (M × N) ÷ R: M marked first, N caught second time, R marked in the second sample.

  2. Why must quadrats be placed randomly?

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    To avoid bias, so that every part of the area has an equal chance of being sampled.

  3. Give three density-dependent factors.

    Show answer

    Competition for limited resources, predation, and the transfer of pathogens or pests.

  4. What benefit do zooxanthellae get from hard corals?

    Show answer

    Carbon dioxide and nitrogen compounds from the coral, and a protected, well-lit position.

  5. What is the critical value of χ² for a 2 × 2 table at p = 0.05?

    Show answer

    3.84 (1 degree of freedom).

Frequently asked questions

What is carrying capacity in biology?

Carrying capacity is the maximum population size of a species that an environment can support. It is set by limited resources such as food, water, light, space or nesting sites. Near carrying capacity, competition, predation and disease increase, so density-dependent factors push the population back towards it by negative feedback.

How do you estimate population size using the Lincoln index?

Catch and mark a sample (M), release it and let it mix, then catch a second sample (N) and count the marked individuals in it (R). Population size = (M × N) ÷ R. The method assumes marks are not lost, marking does no harm, and there is no migration, birth or death between samples.

Why does a population grow exponentially at first?

A population grows exponentially at first because resources are plentiful, so there is little competition, and predators and pathogens are scarce. The birth rate is far higher than the death rate, so numbers multiply at a constant rate. Later, density-dependent factors slow growth and the population levels off at carrying capacity.

What are examples of mutualism in IB Biology?

The IB examples are root nodules in legumes, where Rhizobium fixes nitrogen and gets sugars; mycorrhizal fungi in orchids, which supply sugars and minerals and later receive carbon compounds; and zooxanthellae in hard corals, which pass photosynthetic products to the coral in exchange for carbon dioxide, nutrients and a sunlit position.

How do you test for interspecific competition?

Interspecific competition can be tested by laboratory experiments growing species alone and together, by field observations using random sampling, and by removing one species from field plots. If one species does better when the other is absent, competition is indicated, though not proven, because other factors may explain the difference.

Written and checked against the IB Biology SL specification · Updated October 2026