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Related Concept Videos

Speciation Rates01:07

Speciation Rates

Speciation can proceed at markedly different rates, and evolutionary biologists commonly describe these differences through the models of gradualism and punctuated equilibrium. Both patterns explain how new species arise, but they differ in the tempo and continuity of evolutionary change. In both cases, evolutionary change arises from heritable variation within populations, with natural selection often shaping traits that improve survival and reproduction under specific environmental conditions.
Stability of structures01:14

Stability of structures

In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
Genetic Drift03:33

Genetic Drift

Natural selection—probably the most well-known evolutionary mechanism—increases the prevalence of traits that enhance survival and reproduction. However, evolution does not merely propagate favorable traits, nor does it always benefit populations.Life is not fair. A deer grazing contentedly in a field can have her meal cut tragically short by a bolt of lightning. If the doomed doe is one of only three in the population, 1/3 of the population’s gene pool is lost. Random events like this can...
Stability of Equilibrium Configuration: Problem Solving01:13

Stability of Equilibrium Configuration: Problem Solving

The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
Problem-solving in the context of the stability of equilibrium configuration...
Convergent Evolution01:54

Convergent Evolution

Evolution shapes the features of organisms over time, ensuring that they are suited for the environments in which they live. Sometimes, selection pressure leads to the rise of similar but unrelated adaptations in organisms with no recent common ancestors, a process known as convergent evolution.The structures that arise from convergent evolution are called analogous structures. They are similar in function even if they are dissimilar in structure. Further, structures can be analogous while also...
Stability of Equilibrium Configuration01:23

Stability of Equilibrium Configuration

Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
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Related Experiment Video

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Following the Dynamics of Structural Variants in Experimentally Evolved Populations
04:52

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Continuously stable strategies as evolutionary branching points.

Michael Doebeli1, Iaroslav Ispolatov

  • 1Departments of Zoology and Mathematics, University of British Columbia, 6270 University Boulevard, Vancouver, BC, Canada. doebeli@zoology.ubc.ca

Journal of Theoretical Biology
|July 20, 2010
PubMed
Summary
This summary is machine-generated.

Evolutionary branching can occur even after reaching a stable strategy. This happens when the invasion fitness function vanishes to higher orders, expanding the scope of adaptive diversification.

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Area of Science:

  • Evolutionary biology
  • Theoretical ecology
  • Mathematical biology

Background:

  • Evolutionary branching points initiate adaptive diversification.
  • Continuously stable strategies (CSS) are typically considered endpoints of adaptation.
  • Current understanding assumes non-zero second derivatives of invasion fitness at CSS.

Purpose of the Study:

  • To investigate if evolutionary branching can originate from CSS.
  • To explore the conditions under which CSS may lead to diversification.
  • To re-evaluate the role of CSS in adaptive dynamics.

Main Methods:

  • Analysis of adaptive dynamics models.
  • Investigation of invasion fitness functions.
  • Examination of frequency-dependent competition scenarios.

Main Results:

  • Evolutionary branching scope can increase when invasion fitness vanishes to higher than first order at CSS.
  • CSS can serve as starting points for evolutionary branching under specific conditions.
  • Diversification can occur post-convergence to an evolutionarily stable strategy.

Conclusions:

  • The traditional view of CSS as solely endpoints needs revision.
  • Higher-order vanishing of invasion fitness at CSS enables evolutionary branching.
  • Adaptive diversification is possible even after achieving evolutionary stability.