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Related Concept Videos

What is Natural Selection?01:32

What is Natural Selection?

Natural selection is an evolutionary process in which individuals with survival-promoting traits reproduce at higher rates. These favorable traits become more common within a population or species. Naturally selected traits initially arise via random genetic mutations. In order for selection to occur, there must be variation within a population, the trait controlling the variation must be heritable, and there must be an evolutionary advantage for variation in the trait.The Theory of Natural...
Limits to Natural Selection01:38

Limits to Natural Selection

Organisms that are well-adapted to their environment are more likely to survive and reproduce. However, natural selection does not lead to perfectly adapted organisms. Several factors constrain natural selection.For one, natural selection can only act upon existing genetic variation. Hypothetically, redtusks may enhance elephant survival by deterring ivory-seeking poachers. However, if there are no gene variants—or alleles—for redtusks, natural selection cannot increase the prevalence of...
What is Evolutionary History?02:35

What is Evolutionary History?

Scientists record evolutionary history by analyzing fossil, morphological, and genetic data. The fossil record documents the history of life on Earth and provides evidence for evolution. However, both fossil and living organisms offer evidence that outlines Earth’s evolutionary history.Phylogenetic trees illustrate the evolutionary relationships among these organisms. Scientists infer organisms’ common ancestry by evaluating shared morphological and genetic characteristics. Together, the fossil...
The Evidence for Evolution02:55

The Evidence for Evolution

Genetic variations accumulating within populations over generations give rise to biological evolution. Evolutionary changes can result in the formation of novel varieties and entire new species. These changes are responsible for the diverse forms of life inhabiting the planet. The evidence for evolution suggests that all living organisms descended from common ancestors.The collection of fossils within sedimentary rocks give a record of common ancestry and often depicts the history of evolution.
Natural Selection and Adaptation01:15

Natural Selection and Adaptation

Natural selection, a fundamental concept in evolutionary biology, is the mechanism by which evolution is driven, favoring organisms that are best adapted to their environments. This process enhances their chances of survival and reproduction. Adaptation, a key outcome of this process, involves genetic modifications that optimize an organism's functionality under specific environmental challenges, such as extreme cold or thinner air at high altitudes.
Beyond physical adaptations, psychological...
Evolution of New Traits in Microbes01:24

Evolution of New Traits in Microbes

Microorganisms evolve rapidly due to their large population sizes and short generation times, often exhibiting measurable changes within days under laboratory conditions. Natural selection acts on standing genetic variation, enabling the retention and amplification of beneficial traits that confer fitness advantages in changing environments.Adaptive Pigment Regulation in RhodobacterIn Rhodobacter, a genus of purple non-sulfur bacteria, light-harvesting pigments such as bacteriochlorophyll and...

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Resurrection of Dormant Daphnia magna: Protocol and Applications
07:37

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Published on: January 19, 2018

Evolutionary dynamics of biological games.

Martin A Nowak1, Karl Sigmund

  • 1Program for Evolutionary Dynamics, Department of Mathematics, Department of Organismic and Evolutionary Biology, Harvard University, 1 Brattle Square, Cambridge, MA 02138, USA. martin_nowak@harvard.edu

Science (New York, N.Y.)
|February 7, 2004
PubMed
Summary

Mathematical models of evolution, using Darwinian dynamics, reveal that outcomes are not always optimal. Evolutionary game theory offers a better approach for studying frequency-dependent selection and diverse biological phenomena.

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Area of Science:

  • Evolutionary biology
  • Mathematical biology
  • Theoretical ecology

Background:

  • Darwinian dynamics, incorporating mutation and selection, are foundational for modeling biological adaptation and coevolution.
  • Evolutionary outcomes frequently deviate from fitness-maximizing equilibria, exhibiting complex dynamics like oscillations and chaos.
  • Traditional optimization algorithms are insufficient for analyzing frequency-dependent selection.

Purpose of the Study:

  • To highlight the utility of game-theoretic approaches over optimization algorithms for frequency-dependent selection.
  • To present replicator and adaptive dynamics as key tools for understanding evolutionary trajectories in phenotype space.
  • To underscore the broad applicability of evolutionary game theory in computational and mathematical biology.

Main Methods:

  • Application of game-theoretic arguments to model frequency-dependent selection.
  • Utilizing replicator dynamics to describe short-term evolutionary changes.
  • Employing adaptive dynamics to model long-term evolutionary trajectories in phenotype space.

Main Results:

  • Evolutionary game theory provides a more appropriate framework than optimization for frequency-dependent selection.
  • Replicator and adaptive dynamics effectively model evolutionary processes in phenotype space.
  • These dynamics have wide-ranging applications across biological disciplines.

Conclusions:

  • Evolutionary game theory is crucial for a comprehensive mathematical and computational approach to biology.
  • Understanding non-equilibrium evolutionary dynamics is essential for accurately modeling biological populations.
  • The presented dynamics offer powerful tools for diverse research areas, from behavior to macroevolution.