Natural selection maximizes Fisher information

@article{Frank2009NaturalSM,
  title={Natural selection maximizes Fisher information},
  author={Steven A. Frank},
  journal={Journal of Evolutionary Biology},
  year={2009},
  volume={22}
}
  • S. Frank
  • Published 23 January 2009
  • Biology
  • Journal of Evolutionary Biology
In biology, information flows from the environment to the genome by the process of natural selection. However, it has not been clear precisely what sort of information metric properly describes natural selection. Here, I show that Fisher information arises as the intrinsic metric of natural selection and evolutionary dynamics. Maximizing the amount of Fisher information about the environment captured by the population leads to Fisher's fundamental theorem of natural selection, the most profound… 
Natural selection. V. How to read the fundamental equations of evolutionary change in terms of information theory
  • S. Frank
  • Biology
    Journal of evolutionary biology
  • 2012
TLDR
The correct relations between statistical expressions for selection and information theory expressions for Selection are shown and those relations link selection to the fundamental concepts of entropy and information in the theories of physics, statistics and communication.
Evolutionary dynamics, epistatic interactions, and biological information.
Is information a selectable trait?
TLDR
It is found that information is strongly selected (as it encodes all fitness-producing traits) by comparing the strength of selection on information to a weakly selected trait (sequence length), as well as to a neutral marker.
An Information Theoretic Decomposition of Fitness: Engineering the Communication Channels of Nature and Society
TLDR
Just like technological communication channels thrive on source knowledge, fitness can be increased with environmental knowledge, and establishes a formal link between evolution in biological and social populations, and long-standing engineering efforts in the optimization of communication channels.
Evolution Processes Information – Linking the Theory of Evolution and Information Theory
TLDR
The article reformulates evolutionary fitness as information processes, as it allows its formal expression as a communication process between the evolving system and its environment to change the understanding of evolutionary change.
LINKING INFORMATION , KNOWLEDGE AND EVOLUTIONARY GROWTH : A MULTILEVEL INTERPLAY BETWEEN NATURAL SELECTION AND INFORMED INTERVENTION
This article illustrates a formal link between economic growth and longstanding quantitative measures of information and knowledge. The link is found by relating two concepts from evolutionary
Darwinian demons, evolutionary complexity, and information maximization.
Natural selection is shown to be an extended instance of a Maxwell's demon device. A demonic selection principle is introduced that states that organisms cannot exceed the complexity of their
Linking Information, Knowledge and Evolutionary Growth: A Multilevel Interplay between Natural Selection and Informed Intervention
This article illustrates a formal link between economic growth and longstanding quantitative measures of information and knowledge. The link is found by relating two concepts from evolutionary
Simple unity among the fundamental equations of science
  • S. Frank
  • Mathematics
    Philosophical Transactions of the Royal Society B
  • 2020
TLDR
The Price equation reveals universal aspects for the nature of change, independently of the meaning ascribed to values, by understanding those universal aspects, which can see more clearly why fundamental mathematical results in different disciplines often share a common form.
Information and (co)variances in discrete evolutionary genetics involving solely selection
TLDR
The general formalism of evolutionary genetics dynamics involving fitnesses, under both the deterministic and stochastic setups, and chiefly in discrete time is introduced, particularize it to a one-parameter model where only a selection parameter is unknown.
...
...

References

SHOWING 1-10 OF 33 REFERENCES
Fisher's fundamental theorem of natural selection.
Population genetics from an information perspective.
TLDR
EPI provides a common framework for deriving physical laws and laws of population genetics and shows that effect (4) holds when the population approaches an equilibrium state, e.g. for time values greater than a threshold if fitness coefficients w(ij)are constant.
THE PRICE EQUATION, FISHER'S FUNDAMENTAL THEOREM, KIN SELECTION, AND CAUSAL ANALYSIS
  • S. Frank
  • Mathematics
    Evolution; international journal of organic evolution
  • 1997
TLDR
A general framework is presented to unify diverse models of natural selection based on the Price Equation, which provides an exact description of total evolutionary change under all conditions, and for all systems of inheritance and selection.
An interpretation and proof of the Fundamental Theorem of Natural Selection.
  • W. Ewens
  • Mathematics
    Theoretical population biology
  • 1989
The nature of selection
Abstract A model that unifies all types of selection (chemical, sociological, genetical, and every other kind of selection) may open the way to develop a general “Mathematical Theory of Selection”
Niche Construction: The Neglected Process in Evolution
TLDR
This book extends evolutionary theory by formally including niche construction and ecological inheritance as additional evolutionary processes, and demonstrates how the theory can resolve long-standing problems in ecology, particularly by advancing the sorely needed synthesis of ecology and evolution.
George Price ’ s Contributions to Evolutionary Genetics
George Price studied evolutionary genetics for approximately seven years between 1967 and 1974. During that brief period Price made three lasting contributions to evolutionary theory; these were: (i)
The Price equation
The nature of selection. (Written circa 1971, published posthumously)
  • G. Price
  • Engineering
    Journal of theoretical biology
  • 1995
A model that unifies all types of selection (chemical, sociological, genetical, and every other kind of selection) may open the way to develop a general "Mathematical Theory of Selection" analogous
...
...