Population growth and carrying capacity (article) | Khan Academy (2024)

Review your understanding of population growth and carrying capacity in this free article aligned to NGSS standards.

Key terms

TermMeaning
PopulationA group of organisms of the same species living together in a particular area
EcosystemAll of the organisms in a particular area, along with the nonliving parts of the environment with which they interact
Population sizeThe total number of individuals in a population
Population densityThe number of individuals in a population, per unit area
Exponential growthPopulation growth that is unlimited by resource availability, which allows the population growth rate to increase continuously over time
Logistic growthPopulation growth that is limited by resource availability, causing the population growth rate to slow as population size increases
Limiting factorA feature of an ecosystem that restricts a population’s size
Carrying capacityThe maximum number of organisms or populations an ecosystem can support

Exponential growth

Exponential growth describes a hypothetical model for population growth in which space and resources are available in unlimited supply. As a result, the population growth rate increases with each new generation. Under this model, a population rapidly grows quite large, and continues to grow indefinitely:

A line graph titled Exponential Growth showing population size over time. The line curves upward with an increasing slope, showing that population grows exponentially.

Logistic growth and carrying capacity

In reality, there is simply not enough space or resources for natural populations to continue to grow unchecked. Limiting factors within every ecosystem, such as the availability of food or the effects of predation and disease, prevent a population from becoming too large. These limiting factors determine an ecosystem’s carrying capacity, or maximum population size the environment can support given all available resources.

Logistic growth describes a model for population growth that takes into account carrying capacity, and is therefore a more realistic model for population growth. According to the logistic growth model, a population first grows exponentially because there are few individuals and plentiful resources. As the population gets larger and approaches the environment’s carrying capacity, resources become more scarce and the growth rate slows. This leads to the logistic growth model’s characteristic S-shaped curve:

A line graph titled Logistic Growth showing population size over time. The population grows exponentially until it nears the carrying capacity, which is shown by a separate horizontal line. As the population nears the carrying capacity, population growth slows significantly.

The logistic growth model reflects the natural tension between reproduction, which increases a population’s size, and resource availability, which limits a population’s size. The result of this tension is the maintenance of a sustainable population size within an ecosystem, once that population has reached carrying capacity.

What else should I know about population growth and carrying capacity?

  • Real population growth often deviates from the ideal logistic model. The ideal logistic growth curve shows population size leveling off as a flat line just below carrying capacity. However, a real population’s size typically oscillates around its carrying capacity. This means it’s common even for a stable population to briefly exceed or dip below its carrying capacity, even though the average growth rate of the population is zero.

  • Carrying capacities can change. An ecosystem’s carrying capacity may fluctuate based on seasonal changes, or it may change as a result of human activity or a natural disaster. For example, if a fire destroys many trees in a forest ecosystem, the forest's carrying capacity for tree-nesting birds will decrease.

Population growth and carrying capacity  (article) | Khan Academy (2024)

FAQs

What is population growth and carrying capacity? ›

As a population grows in an area, a population may experience the effects of increased densities. In a given area, is the maximum population size of the species that the environment can sustain is called the carrying capacity. Carrying capacity is determined by the amount of available resources (food, habitat, water).

What are the 4 factors that may limit carrying capacity and population growth? ›

Limiting Factors and Humans

While food and water supply, habitat space, and competition with other species are some of the limiting factors affecting the carrying capacity of a given environment, in human populations, other variables such as sanitation, diseases, and medical care are also at play.

How are exponential growth logistic growth and carrying capacity related? ›

In logistic growth, a population's per capita growth rate gets smaller and smaller as population size approaches a maximum imposed by limited resources in the environment, known as the carrying capacity ( ‍ ). Exponential growth produces a J-shaped curve, while logistic growth produces an S-shaped curve.

What does a population experience logistic growth? ›

Logistic population growth occurs when the growth rate decreases as the population reaches carrying capacity. Carrying capacity is the maximum number of individuals in a population that the environment can support. A graph of logistic growth is shaped like an S.

What are the 4 types of carrying capacity? ›

There are at least four categories of carrying capacity for aquaculture: physical carrying capacity, production carrying capacity, ecological carrying capacity, and social carrying capacity (Inglis et al., 2000; McKindsey et al., 2006; Gaĉek and Legović, 2010; Ross et al., 2013).

Why is carrying capacity important to population growth? ›

What is carrying capacity and why is it important? Carrying capacity is the maximum number of organisms a specific habitat can sustainably support. Carrying capacity is important because if a population exceeds it, the habitat can become degraded and unsuitable.

What are the 3 major limits to a populations growth? ›

Limiting factors to population growth can be biotic or abiotic. Biotic factors are living factors such as plants and animals as food sources. Abiotic factors are physical factors such as temperature and water resources. Food, water, and living space are three of the most important limiting factors to populations.

What happens to a population if its growth exceeds its carrying capacity? ›

If a population exceeds carrying capacity, the ecosystem may become unsuitable for the species to survive. If the population exceeds the carrying capacity for a long period of time, resources may be completely depleted. Populations may die off if all of the resources are exhausted.

What are 3 factors that help to define a population's carrying capacity? ›

Carrying capacity can be defined as a species' average population size in a particular habitat. The species population size is limited by environmental factors like adequate food, shelter, water, and mates.

Will we soon reach Earth's carrying capacity? ›

Estimates vary, but we're expected to reach "peak human" around 2070 or 2080, at which point there will be between 9.4 billion and 10.4 billion people on the planet.

What factors can affect the growth of a population? ›

When demographers attempt to forecast changes in the size of a population, they typically focus on four main factors: fertility rates, mortality rates (life expectancy), the initial age profile of the population (whether it is relatively old or relatively young to begin with) and migration.

What is the formula for population growth rate? ›

What is the formula for population growth rate? A general formula for calculating the population growth rate is Gr = N / t. Gr is the growth rate measured in individuals, N is the change in population, and t is the period of time.

What is the meaning of population growth? ›

Population growth is the increase in the number of humans on Earth. For most of human history our population size was relatively stable. But with innovation and industrialization, energy, food, water, and medical care became more available and reliable.

What do you mean by population growth? ›

Population growth is the increase in the number of people in a population or dispersed group. Actual global human population growth amounts to around 83 million annually, or 1.1% per year. The global population has grown from 1 billion in 1800 to 7.9 billion in 2020.

What is population growth in biology? ›

population size: the number of individuals in the population. population density: how many individuals are in a particular area. population growth: how the size of the population is changing over time.

What is the concept of population growth? ›

Population growth is determined by the net recruitment rate of individuals to the population. Population growth in a given generation is a linear combination of its initial size, birth, death, immigration, and emigration rates. All four parameters are influenced by the ratio between the sexes in the population.

Top Articles
Latest Posts
Article information

Author: Greg O'Connell

Last Updated:

Views: 6153

Rating: 4.1 / 5 (42 voted)

Reviews: 89% of readers found this page helpful

Author information

Name: Greg O'Connell

Birthday: 1992-01-10

Address: Suite 517 2436 Jefferey Pass, Shanitaside, UT 27519

Phone: +2614651609714

Job: Education Developer

Hobby: Cooking, Gambling, Pottery, Shooting, Baseball, Singing, Snowboarding

Introduction: My name is Greg O'Connell, I am a delightful, colorful, talented, kind, lively, modern, tender person who loves writing and wants to share my knowledge and understanding with you.