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Signalling theory

 
Signalling Theory

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Signalling theory



 
 
Within evolutionary biology
Evolutionary biology

Evolutionary biology is a sub-field of biology concerned with the origin of species from a common descent and descent of species, as well as their evolution, multiplication and diversity over time....
, signalling theory refers to a body of theoretical
Theory

For a more detailed account of theories as expressed in formal language as they are studied in mathematical logic see Theory A theory, in the general sense of the word, is an analytic structure designed to explain a set of observations....
 work examining communication between individuals. The central question is when animals with conflicting interests should be expected to communicate "honestly". Mathematical models in which organisms signal their condition to other individuals as part of an evolutionarily stable strategy
Evolutionarily stable strategy

In game theory and behavioural ecology, an evolutionarily stable strategy is a strategy which, if adopted by a population genetics of players, cannot be invaded by any alternative strategy that is initially rare....
 are the principal form of research in this field.

iology, signals are traits, including structures and behaviors, that have evolved specifically because they change the behavior of receivers in ways that benefit the signaler .






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Within evolutionary biology
Evolutionary biology

Evolutionary biology is a sub-field of biology concerned with the origin of species from a common descent and descent of species, as well as their evolution, multiplication and diversity over time....
, signalling theory refers to a body of theoretical
Theory

For a more detailed account of theories as expressed in formal language as they are studied in mathematical logic see Theory A theory, in the general sense of the word, is an analytic structure designed to explain a set of observations....
 work examining communication between individuals. The central question is when animals with conflicting interests should be expected to communicate "honestly". Mathematical models in which organisms signal their condition to other individuals as part of an evolutionarily stable strategy
Evolutionarily stable strategy

In game theory and behavioural ecology, an evolutionarily stable strategy is a strategy which, if adopted by a population genetics of players, cannot be invaded by any alternative strategy that is initially rare....
 are the principal form of research in this field.

Honest signals

In biology, signals are traits, including structures and behaviors, that have evolved specifically because they change the behavior of receivers in ways that benefit the signaler . Traits or actions that benefit the receiver exclusively are called cues. When an alert bird deliberately gives a warning call to a stalking predator and the predator gives up the hunt, the sound is a signal. When a foraging bird inadvertently makes a rustling sound in the leaves that attracts predators and increases the risk of predation, the sound is a cue.

Signaling systems are shaped by the extent to which signalers and receivers have mutual interests. An alert bird warning off a stalking predator is communicating something useful to the predator: that it has been detected by the prey; it might as well quit wasting its time stalking this alerted prey, which it is unlikely to catch. When the predator gives up, the signaler can get back to other important business. Once the stalking predator is detected, the signaling prey and receiving predator have a mutual interest terminating the hunt .

Within species, mutual interests generally increase with kinship . Kinship is central to models of signaling between relatives, for instance when broods of nestling birds beg and compete for food from their parents . The distinction between signals and cues is not clear, and probably not useful for immune, endocrine and neural signaling between the cells within an individual, at least to the extent that all of these cells are clonal descendents of a fertilized egg and there are no conflicts of interest between them.

The concept of honesty in animal communication is controversial because it is difficult to determine intent and use that as a criterion to discriminate deception from honesty, as we do in human interactions . Because of this, biologists who use the phrase ”honest signals” use it in a statistical sense. Biological signals, like warning calls or resplendent tail feathers, are considered honest if they are correlated with, or reliably predict, something useful to the receiver. In this usage, honesty is a useful correlation between the signal trait (which economists call ”public information” because it is readily apparent) and the unobservable thing of value to the receiver (which economists refer to as “private information” and biologists often refer to as “quality”). Honest biological signals do not need to be perfectly informative, reducing uncertainty to zero; they only need to be honest “on average” to be potentially useful . Ultimately the value
Value of information

Value of information in decision analysis is the amount a decision maker would be willing to pay for information prior to making a decision....
 of the signaled information depends on the extent to which it allows the receiver to increase its fitness
Fitness (biology)

Fitness is a central concept in evolution. It describes the capability of an individual of certain genotype to reproduce, and usually is equal to the proportion of the individual's genes in all the genes of the next generation....
.

Dishonest signals


Because there are both mutual and conflicting interests in most animal signaling systems, the fundamental problem in evolutionary signaling games is dishonesty or cheating. Why don’t foraging birds just give warning calls all the time, at random (false alarms), just in case a predator is nearby? If peacocks with bigger tails are preferred by peahens, why don’t all peacocks display big tails? Too much cheating would disrupt the correlation at the foundation of the system, causing it to collapse. Receivers should ignore the signals if they are not useful to them and signalers shouldn’t invest in costly signals if they won’t alter the behavior of receivers in ways that benefit the signaler. What prevents cheating from destabilizing signaling systems? It might be apparent that the costs of displaying signals must be an important part of the answer. However, understanding how costs can stabilize an “honest” correlation between the public signal trait and the private signaled quality has turned out to be a long, interesting process.

An example of dishonest signalling comes from Fiddler crabs such as Uca lactea mjoebergi
Uca lactea mjoebergi

Uca lactea mjoebergi is a subspecies of fiddler crab discovered by and named after the Sweden zoology Eric Mj?berg , member of a Swedish scientific expedition to Australia in the early 1900s....
, which have been shown to bluff in regards to their fighting ability. Upon regrowing a lost claw, a crab will occasionally regrow a weaker claw that nevertheless intimidates crabs with smaller but stronger claws. The proportion of dishonest signals is low enough that it is not worthwhile for crabs to test the honesty of such signals, as combat can be dangerous and expensive.

History

The question of whether individuals of the same species might not be attempting to deceive each other was raised by Richard Dawkins
Richard Dawkins

Clinton Richard Dawkins, Royal Society#Fellowship, Royal Society of Literature is a United Kingdom ethology, evolutionary biology and popular science author....
 and John Krebs
John Krebs

John Richard Krebs, Baron Krebs Royal Society is a world leader in zoology and more specifically bird behaviour. He is currently the Principal of Jesus College, Oxford, University of Oxford....
 in 1978. This thinking was prompted by the application of a gene-centered view of evolution
Gene-centered view of evolution

The gene-centered view of evolution, gene selection theory or selfish gene theory holds that natural selection acts through differential survival of competing genes, increasing the frequency of those alleles whose Phenotype effects successfully promote their own propagation....
 to the use of threat displays. Dawkins & Krebs criticised previous ethologists
Ethology

Ethology is the scientific study of animal behavior, and a branch of zoology .Although many naturalists have studied aspects of animal behavior through the centuries, the modern discipline of ethology is usually considered to have arisen with the work in the 1930s of Dutch biologist Nikolaas Tinbergen and Austrian biologist Konrad Lorenz,...
, such as Nikolaas Tinbergen
Nikolaas Tinbergen

Nikolaas "Niko" Tinbergen was a Netherlands ethology and ornithologist who shared the 1973 Nobel Prize in Physiology or Medicine with Karl von Frisch and Konrad Lorenz for their discoveries concerning organization and elicitation of individual and social behaviour patterns in animals....
 and Desmond Morris
Desmond Morris

Desmond John Morris is most famous for his work as a zoology and ethology, but is also known as a surrealism and author....
 among others, for supporting the view that such displays were used "for the good of the species
Group selection

In evolutionary biology, group selection refers to the idea that alleles can become fixed or spread in a population because of the benefits they bestow on groups, regardless of the alleles' effect on the fitness of individuals within that group....
". Dawkins and Krebs (and Krebs and Dawkins, 1982) argued that such communication ought to be viewed as an evolutionary arms race
Evolutionary arms race

In evolutionary biology, an evolutionary arms race is an evolutionary struggle between competing sets of co-evolution genes that develop adaptation s and counter-adaptations against each other, resembling an arms race....
 in which signallers evolve to become better at manipulating receivers, while receivers evolve to become more resistant to manipulation.

The game theoretical model of the war of attrition
War of attrition (game)

In game theory, the war of attrition is a model of aggression in which two contestants competition for a resource of value V by persisting while constantly accumulating costs over the time t that the contest lasts....
  was applied to the problem, and appeared to suggest that threat displays ought not to convey any reliable information about intentions (Caryl, 1979). This led to a re-examination of the empirical evidence, and much debate .

The sports handicapping metaphor

In 1975, Amotz Zahavi
Amotz Zahavi

Amotz Zahavi is an Israeli Evolutionary biology, a Professor Emeritus at the Zoology Department of Tel Aviv University, and one of the founders of the Israeli Society for the Protection of Nature....
 proposed a verbal model for how signal costs could constrain cheating and stabilize an “honest” correlation between observed signals and unobservable qualities, based on an analogy to sports handicapping systems . He called this idea the handicap principle
Handicap principle

The handicap principle is a hypothesis originally proposed in 1975 by biology Amotz Zahavi to explain how evolution may lead to "honest" or reliable Signalling theory between animals who have an obvious motivation to bluff or deceive each other....
. The purpose of a sports handicapping system is to reduce disparities in performance, making the contest more competitive. In horse racing, intrinsically faster horses are given heavier weights to carry under their saddles. In amateur golf
Golf handicap

A golf handicap is a numerical measure of an amateur golfer's playing ability based on the tees played for a given course. It is used to calculate a net score from the number of strokes actually played, thus allowing players of different proficiency to play against each other on somewhat equal terms....
, better golfers have fewer strokes subtracted from their raw scores. This creates correlations between the handicap and unhandicapped performance, and if the handicaps work as they are supposed to, between the handicap and handicapped performance. If you knew nothing about two race horses or two amateur golfers except their handicaps, you could infer which horse or golfer has had the better performance in the recent past, and which competitor is most likely to win: the horse with the bigger weight handicap and the golfer with the smaller stroke handicap. By analogy, if peacock tails act as a handicapping system, and a peahen knew nothing about two peacocks but the sizes of their tails, she could “infer” that the peacock with the bigger tail has greater unobservable intrinsic quality, in the sense that it is better able to pay the costs of displaying the tail (here, “infer” is shorthand for the idea that females that prefer bigger tails are at a selective advantage). Display costs can include extrinsic social costs, in the form of testing and punishment by rivals, as well as intrinsic production costs .

The essential idea here is intuitive and probably qualifies as folk wisdom. It was articulated quite nicely by Kurt Vonnegut
Kurt Vonnegut

Kurt Vonnegut, Jr. was a prolific and genre-bending American novelist known for works blending satire, black comedy and science fiction, such as Slaughterhouse-Five , Cat's Cradle , and Breakfast of Champions .He was also known for his Humanism beliefs and being honorary president of the American Humanist Association....
, in his 1961 short story Harrison Bergeron
Harrison Bergeron

"Harrison Bergeron" is a dystopian science fiction short story written by Kurt Vonnegut, Jr. and first published in October, 1961. Throughout the story Vonnegut uses satire, and the story itself could be classified as a satire....
 . In Vonnegut’s futuristic dystopia, the Handicapper General uses a variety of handicapping mechanisms to reduce inequalities in performance. A spectator at a ballet comments: “it was easy to see that she was the strongest and most graceful of all dancers, for her handicap bags were as big as those worn by two hundred pound men.” Zahavi interpreted this analogy to mean that higher quality peacocks with bigger tails are signaling their ability to "waste" more of something important by trading it off for a bigger tail. This resonates with Veblen’s
Thorstein Veblen

Thorstein Bunde Veblen was a Norwegian-American sociology and economist and a founder, along with John R. Commons, of the Institutional economics movement....
 idea that conspicuous consumption
Conspicuous consumption

Conspicuous consumption is a term used to describe the lavish spending on goods and services acquired mainly for the purpose of displaying income or wealth....
 and extravagant status symbols
Status symbol

A status symbol is a perceived visible, external denotation of one's social position and perceived indicator of social status. Many luxury goods are often considered status symbols....
 can signal wealth .

One area where there is currently a lot of research on this idea involves the duel roles of carotenoid pigments in immune system function and in yellow-red bird feathers . Carotenoids have to be ingested because animals cannot synthesize them de novo. It is hypothesized that birds with redder feathers are demonstrating their ability to “waste” more carotenoids by allocating them to feathers rather than to immune function. The red feathers are hypothesized to be an immunocompetence handicap .

Zahavi’s conclusions rest on his verbal interpretation of a metaphor, and initially, the handicap principle was not well received by evolutionary biologists . However, in 1984, Nur and Hasson used life history theory to show how differences in signaling costs, in the form of survival-reproduction tradeoffs, could stabilize a signaling system roughly as Zahavi imagined. Later in the decade, several papers using genetic models also began to suggest that the idea just might work, at least some times . The logjam was broken in 1990 by Alan Grafen, who developed a very complicated marginal fitness maximization model of evolutionary signaling games and came to the conclusion that, given certain assumptions, a handicap-like signaling system could be evolutionarily stable, if higher quality signalers paid lower marginal survival costs for their signals. This, and the seminal paper by W. D. Hamilton
W. D. Hamilton

William Donald Hamilton, Royal Society a.k.a. Bill Hamilton was a United Kingdom evolutionary biologist and one of the greatest evolutionary theorists of the 20th century....
 and Zuk suggesting that sexually selected signals are signals of health, in a never-ending co-evolutionary race between hosts and their parasites, led to an explosion of research on the relationship between sexually selected signals, parasites and mate preferences.

Re-evaluating biological signaling vs. sports handicapping

Efforts to test the handicap principle empirically have not been decisive, partly because of inconsistent interpretations of Zahavi’s metaphor and Grafen’s marginal fitness model, and partly because of conflicting empirical results: in some studies individuals with bigger signals seem to be paying higher costs, in other studies they seem to be paying lower costs . Recent theoretical analyses have uncovered a possible explanation for the inconsistent empirical results. A series of papers by Getty shows that Grafen’s proof of the handicap principle is based on the critical simplifying assumption that signalers trade off costs for benefits in an additive fashion, the way humans invest money to increase income in the same currency. Grafen’s proof is formally similar to a classic monograph on economic market signaling by Nobel laureate Michael Spence
Michael Spence

Andrew Michael Spence is an United States-born, Canada-raised economist and recipient of the 2001 Nobel Prize in Economics, along with George Akerlof and Joseph E....
 . This assumption that costs and benefits trade off in an additive fashion might be valid for some biological signaling systems, but is not valid for the survival cost – reproduction benefit tradeoff that is assumed to mediate the evolution of sexually selected signals. Fitness depends on the production of offspring and this is a multiplicative function of reproductive success given an individual is still alive times the probability of still being alive, given investment in signals.

Survival-reproduction tradeoffs do not correspond to sports handicaps in any simple, useful way. Zahavi’s intuition was correct in the very general sense that “differences in costs” can stabilize the evolution of an “honest” signaling system, but in sexually selected signaling, “differences in costs” are properly decreasing proportional (or log) marginal costs . The mathematics can be interpreted to mean that higher quality signalers are more efficient at converting signal costs into reproductive benefits. This re-analysis undermines the idea that higher quality signalers are demonstrating their ability to waste more because the pattern of absolute signal costs across signalers of different quality remains undetermined. Depending on the specific form of the tradeoffs in any particular system, higher quality signalers might pay absolutely more or less for big signals than lower quality signalers pay for small signals. This might explain why the empirical data on the relationship between signals and costs are so inconsistent.

Costly signaling and Fisherian diploid dynamics

The effort to discover how costs can constrain an “honest” correlation between public signals and private qualities within signalers is built on strategic models of signaling games, with many simplifying assumptions. These models are most often applied to sexually selected signaling
Sexual selection

Sexual selection is the theory proposed by Charles Darwin that states that certain evolutionary traits can be explained by intraspecific competition....
 in diploid animals, but they rarely incorporate an important feature of diploid sexual reproduction that was pointed out by Ronald Fisher in the early 20th century: if there are “preference genes” correlated with choosiness in females as well as “signal genes” correlated with display traits in males, choosier females should tend to mate with showier males. Over generations, showier sons should also carry genes associated with choosier daughters and choosier daughters should also carry genes associated with showier sons. This correlation could introduce an evolutionary dynamic known as a Fisherian runaway
Fisherian runaway

Fisherian runaway is a model of sexual selection, first proposed by Ronald Fisher in 1915, and expanded upon in his 1930 book The Genetical Theory of Natural Selection, that suggests an explanation for sexual selection of traits that do not obviously increase Fitness of survival, based upon a positive feedback "runaway" mechanism....
. Russell Lande explored this with quantitative genetic
Quantitative genetics

Quantitative genetics is the study of continuous traits and its underlying mechanisms. It is effectively an extension of simple Mendelian inheritance in that the combined effect of the many underlying genes results in a Continuous probability distribution of phenotypic values....
 models and his work inspired a very active line of research in the quantitative genetic framework . These analyses revealed that Fisherian diploid dynamics are very sensitive to signaling and search costs. Recent models have begun to bridge the gap between the costly-signaling and Fisherian-runaway traditions by developing modeling frameworks that incorporate both simultaneously . These models recognize that if fitness depends on both survival and reproduction, having sexy sons
Sexy son hypothesis

The sexy son hypothesis is a concept from evolutionary biology, proposed by P. J. Weatherhead and R. J. Robertson in 1979. It posits that a female animal's optimal choice among potential fathers is a male whose genes will produce male offspring with the best chance of reproductive success....
 and choosy daughters (in the stereotypical model) can be adaptive, increasing fitness just as much as having healthy sons and daughters.

Examples

Autumn
* Sam Brown and W. D. Hamilton
W. D. Hamilton

William Donald Hamilton, Royal Society a.k.a. Bill Hamilton was a United Kingdom evolutionary biologist and one of the greatest evolutionary theorists of the 20th century....
  and Marco Archetti proposed the idea that Autumn leaf color
Autumn leaf color

Autumn leaf color is a phenomenon that affects the normally green leaves of many deciduous trees and shrubs by which they take on, during a few weeks in the autumn season, one or many colors that range from red to yellow....
 is due to the trees signalling to aphid
Aphid

Aphids, also known as plant lice , are small plant-eating insects, and members of the Taxonomic rank Aphidoidea. Aphids are among the most destructive insect pests on cultivated plants in temperate regions....
s and other pest species that migrate to the trees in autumn. Autumn colour is costly to trees but bright trees might reduce their parasite load; aphids on the other hand might prefer trees with dull leaves because these are the ones with less chemical defenses. Indeed aphids appear to preferentially avoid trees with bright leaves and tree species with bright leaves have more specialist aphid pests than do trees lacking bright leaves. While autumn colours might be a real handicap signal, it is not necessary that the signal is costly to produce. It might also be an index, which is maintained because it is impossible to fake (it would be a signal instead if only strong individuals can afford the cost of displaying it). The topic is still debated.
  • Stotting
    Stotting

    Stotting is a Gait analysis of quadrupeds, particularly gazelles , involving jumping high into the air by lifting all four feet off the ground simultaneously....
     for example in Thomson's Gazelle
    Thomson's Gazelle

    The Thomson's gazelle is one of the best-known gazelles. It is named after explorer Joseph Thomson , and is often referred to as the "tommy"....
    s is cited as an example of signaling: the gazelles jump close to a predator instead of escaping, in what could be a signal of strength.


Human honest signals

Because honest signals are found in a wide variety of species it is reasonable to expect that humans have also evolved honest signals. Examples of human honest signals that have been suggested include neonatal cry quality as a signal that promotes neonatal survival(Madkour et al 1997), increases in activity level (e.g., autonomic nervous system arousal) as a signal that promotes changes in group activity level through mood contagion, or verbal and postural mirroring as a signal that promotes feelings of trust and empathy in others (Pentland 2008). Evidence from behavioral economics show that changes in arousal, trust or empathy also change individual assessments of risk and reward. More abstract honest signals have also been suggested, including the General Intelligence factor (g) as a signal of fitness (Luxen and Buunk 2006) and key features of human language (Lachmann et al 2001).

See also

  • Signalling (economics)
    Signalling (economics)

    In economics, more precisely in contract theory, signalling is the idea that one party conveys some meaningful information about itself to another party ....
  • Animal communication
    Animal communication

    Animal communication is any behaviour on the part of one animal that has an effect on the current or future behaviour of another animal. The study of animal communication, sometimes called zoosemiotics has played an important part in the development of ethology, sociobiology, and the study of animal cognition....
  • Cheap talk
    Cheap talk

    In game theory, cheap talk is communication between players which does not directly affect the payoffs of the game. This is in contrast to signaling in which sending certain messages may be costly for the sender depending on the state of the world....
  • Signalling game
  • Autumn leaf color
    Autumn leaf color

    Autumn leaf color is a phenomenon that affects the normally green leaves of many deciduous trees and shrubs by which they take on, during a few weeks in the autumn season, one or many colors that range from red to yellow....


External links