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  1. For many smaller organisms such as bacteria, ciliates, various amoeboid organisms, diatoms, and others, this equation describes population growth reasonably well.

  2. Species can be divided into two basic types when it comes to how their populations grow. Species that live in stable environments are likely to be K-selected. Their population growth is controlled by density-dependent factors. Population size is generally at or near the carrying capacity.

  3. A graph of this equation yields an S-shaped curve (Figure \(\PageIndex{1}\)), and it is a more realistic model of population growth than exponential growth. There are three different sections to an S-shaped curve. Initially, growth is exponential because there are few individuals and ample resources available.

  4. Population Growth. The two simplest models of population growth use deterministic equations (equations that do not account for random events) to describe the rate of change in the size of a population over time. The first of these models, exponential growth, describes theoretical populations that increase in numbers without any limits to their ...

  5. The figure below shows the logistic growth of a hypothetical population of animals. Drag the labels to their appropriate locations on the graph.

  6. Understanding population growth is important for predicting, managing, monitoring, and eradicating pest and disease outbreaks.

  7. In the Population Dynamics Click & Learn, students explore two classic mathematical models that describe how populations change over time: the exponential and logistic growth models. Students learn about each model through an interactive simulator supported by introductory information and real biological examples.