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Related Concept Videos

Competition02:34

Competition

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When organisms require the same limited resources within an environment, they may have to compete for them. Competition is a net-negative interaction. Even if two competing individuals or populations do not interact directly, the overall fitness of both competitors is lowered as a result of not having full access to the limited resource.
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Microbial competition is an ecological interaction in which microorganisms vie for limited resources within shared environments. These resources may include nutrients, space, or light, depending on the system. The intensity and outcome of competition are influenced by the environmental context, such as nutrient availability, spatial constraints, and the diversity of microbial species present. These competitive interactions significantly influence the structure, function, and resilience of...
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Population Growth00:57

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Population size is dynamic, increasing with birth rates and immigration, and decreasing with death rates and emigration. In ideal conditions with unlimited resources, populations can increase exponentially, which plots as a J-shaped growth rate curve of population size against time. This type of curve is characteristic of newly-introduced invasive species, or populations that have suffered catastrophic declines and are rebounding.
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Conservation of Small Populations02:04

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Small population sizes put a species at extreme risk of extinction due to a lack of variation, and a consequent decrease in adaptability. This weakens the chances of survival under pressures such as climate change, competition from other species, or new diseases. Large populations are more likely to survive pressures such as these, as such populations are more likely to harbor individuals that have genetic variants that are adaptive under new stresses. Small populations are much less...
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Inclusive Fitness00:57

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Most altruistic behavior—in which one animal helps another at a cost to themselves—occurs between relatives. Scientists think these altruistic behaviors evolved because they increase the inclusive fitness of the animal providing help.
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Related Experiment Video

Updated: Apr 20, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
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Competitive intransitivity, population interaction structure, and strategy coexistence.

Robert A Laird1, Brandon S Schamp2

  • 1Department of Biological Sciences, University of Lethbridge, Lethbridge, AB, Canada T1K 3M4.

Journal of Theoretical Biology
|December 3, 2014
PubMed
Summary
This summary is machine-generated.

Competitive intransitivity promotes strategy coexistence on spatial networks. However, network disorder can lead to monocultures, with larger populations supporting coexistence even in random networks.

Keywords:
Cyclical population dynamicsEvolutionary graph theoryQuenched randomnessRock–paper–scissorsSmall-world networks

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Area of Science:

  • Ecology
  • Evolutionary Biology
  • Network Science

Background:

  • Intransitive competition, characterized by cyclic dominance (e.g., rock-paper-scissors), promotes strategy coexistence.
  • Previous research highlights the significant role of spatial structure in intransitivity-mediated coexistence compared to well-mixed populations.

Purpose of the Study:

  • To investigate the impact of network structure on strategy coexistence under intransitive competition.
  • To explore the continuum of small-world networks, bridging spatial lattices and random graphs.

Main Methods:

  • Utilized computer simulations to model strategy dynamics on various network structures.
  • Examined the effects of network disorder and population size on strategy frequencies and coexistence.

Main Results:

  • Intransitive competition enhances strategy coexistence on networks closer to spatial lattices.
  • Increased network disorder can cause population fluctuations, leading to extinctions and monocultures.
  • The threshold for this transition is population-dependent; large populations can sustain coexistence even on random networks.

Conclusions:

  • Network interaction structure critically influences strategy dynamics and diversity.
  • Spatial structure is crucial for maintaining diversity in systems with intransitive competition.
  • Understanding network topology is key to predicting ecological and evolutionary outcomes.