Stochastic Problems in Population Genetics

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This increases the damage done by recessive deleterious mutations, in a process known as inbreeding depression. The worst of these mutations are selected against, leading to the loss of other alleles that are genetically linked to them, in a process of background selection.

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This leads to a further loss of genetic diversity. In addition, a sustained reduction in population size increases the likelihood of further allele fluctuations from drift in generations to come.

A population's genetic variation can be greatly reduced by a bottleneck, and even beneficial adaptations may be permanently eliminated. There have been many known cases of population bottleneck in the recent past. Prior to the arrival of Europeans , North American prairies were habitat for millions of greater prairie chickens. In Illinois alone, their numbers plummeted from about million birds in to about 50 birds in the s.

The declines in population resulted from hunting and habitat destruction, but a consequence has been a loss of most of the species' genetic diversity. DNA analysis comparing birds from the mid century to birds in the s documents a steep decline in the genetic variation in just the latter few decades. Currently the greater prairie chicken is experiencing low reproductive success.

However, the genetic loss caused by bottleneck and genetic drift can increase fitness, as in Ehrlichia.

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Over-hunting also caused a severe population bottleneck in the northern elephant seal in the 19th century. Their resulting decline in genetic variation can be deduced by comparing it to that of the southern elephant seal , which were not so aggressively hunted. The founder effect is a special case of a population bottleneck, occurring when a small group in a population splinters off from the original population and forms a new one.

The random sample of alleles in the just formed new colony is expected to grossly misrepresent the original population in at least some respects. When a newly formed colony is small, its founders can strongly affect the population's genetic make-up far into the future. A well-documented example is found in the Amish migration to Pennsylvania in Two members of the new colony shared the recessive allele for Ellis—van Creveld syndrome.

Members of the colony and their descendants tend to be religious isolates and remain relatively insular. As a result of many generations of inbreeding, Ellis-van Creveld syndrome is now much more prevalent among the Amish than in the general population. The difference in gene frequencies between the original population and colony may also trigger the two groups to diverge significantly over the course of many generations. As the difference, or genetic distance , increases, the two separated populations may become distinct, both genetically and phenetically , although not only genetic drift but also natural selection, gene flow, and mutation contribute to this divergence.

Stochastic Problems in Population Genetics - T Maruyama - Häftad () | Bokus

This potential for relatively rapid changes in the colony's gene frequency led most scientists to consider the founder effect and by extension, genetic drift a significant driving force in the evolution of new species. Sewall Wright was the first to attach this significance to random drift and small, newly isolated populations with his shifting balance theory of speciation. The role of random chance in evolution was first outlined by Hagedoorn and Hagedoorn in [47].

They highlighted that random survival plays a key role in the loss of variation from populations. Fisher responded to this with the first, albeit marginally incorrect, mathematical treatment of the 'Hagedoorn effect' [48]. The corrected mathematical treatment and term "genetic drift" was later coined by a founder of population genetics , Sewall Wright.

His first use of the term "drift" was in , [49] though at the time he was using it in the sense of a directed process of change, or natural selection. Random drift by means of sampling error came to be known as the "Sewall—Wright effect," though he was never entirely comfortable to see his name given to it.

Wright referred to all changes in allele frequency as either "steady drift" e. In the early days of the modern evolutionary synthesis , scientists were beginning to blend the new science of population genetics with Charles Darwin 's theory of natural selection. Within this framework, Wright focused on the effects of inbreeding on small relatively isolated populations. He introduced the concept of an adaptive landscape in which phenomena such as cross breeding and genetic drift in small populations could push them away from adaptive peaks, which in turn allow natural selection to push them towards new adaptive peaks.

Wright's views on the role of genetic drift in the evolutionary scheme were controversial almost from the very beginning. One of the most vociferous and influential critics was colleague Ronald Fisher. Fisher conceded genetic drift played some role in evolution, but an insignificant one. Fisher has been accused of misunderstanding Wright's views because in his criticisms Fisher seemed to argue Wright had rejected selection almost entirely.

To Fisher, viewing the process of evolution as a long, steady, adaptive progression was the only way to explain the ever-increasing complexity from simpler forms. But the debates have continued between the "gradualists" and those who lean more toward the Wright model of evolution where selection and drift together play an important role.

In , Motoo Kimura rekindled the debate with his neutral theory of molecular evolution, which claims that most of the genetic changes are caused by genetic drift acting on neutral mutations. The role of genetic drift by means of sampling error in evolution has been criticized by John H.

Stochastic models of evolution in genetics, ecology and linguistics

Gillespie [59] and William B. Provine , who argue that selection on linked sites is a more important stochastic force. From Wikipedia, the free encyclopedia. The change in the frequency of an existing gene variant in a population. Not to be confused with Genetic draft , Antigenic drift , or Antigenic shift. Darwin's finches by John Gould. Key topics. Introduction to evolution Evidence of evolution Common descent Evidence of common descent.

Processes and outcomes. Natural history. History of evolutionary theory. Fields and applications. Applications of evolution Biosocial criminology Ecological genetics Evolutionary aesthetics Evolutionary anthropology Evolutionary computation Evolutionary ecology Evolutionary economics Evolutionary epistemology Evolutionary ethics Evolutionary game theory Evolutionary linguistics Evolutionary medicine Evolutionary neuroscience Evolutionary physiology Evolutionary psychology Experimental evolution Phylogenetics Paleontology Selective breeding Speciation experiments Sociobiology Systematics Universal Darwinism.

Social implications. Evolution as fact and theory Social effects Creation—evolution controversy Objections to evolution Level of support. Main article: Population bottleneck. Main article: Founder effect. Further information: Modern synthesis 20th century.

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How migration affect allele frequencies

Campbell NA Princeton, N. Ewens WJ Mathematical Population Genetics I. Theoretical Introduction.

Stochastic Problems in Population Genetics Stochastic Problems in Population Genetics
Stochastic Problems in Population Genetics Stochastic Problems in Population Genetics
Stochastic Problems in Population Genetics Stochastic Problems in Population Genetics
Stochastic Problems in Population Genetics Stochastic Problems in Population Genetics
Stochastic Problems in Population Genetics Stochastic Problems in Population Genetics
Stochastic Problems in Population Genetics Stochastic Problems in Population Genetics
Stochastic Problems in Population Genetics Stochastic Problems in Population Genetics
Stochastic Problems in Population Genetics Stochastic Problems in Population Genetics

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