Neutral theory of molecular evolution

<h2 id="origins">Origins</h2>
While some scientists, such as Freese (1962)<a class="footnote-ref" id="fnref:5" href="#fn:5">5</a> and Freese and Yoshida (1965),<a class="footnote-ref" id="fnref:6" href="#fn:6">6</a> had suggested that neutral <a href="/facts/Mutation/Ee4NnWbY">mutations</a> were probably widespread, the original mathematical derivation of the theory had been published by <a href="/facts/R.A._Fisher/I2FVIpy9">R.A. Fisher</a> in 1930.<a class="footnote-ref" id="fnref:7" href="#fn:7">7</a> Fisher, however, gave a reasoned argument for believing that, in practice, neutral gene substitutions would be very rare.<a class="footnote-ref" id="fnref:8" href="#fn:8">8</a> A coherent theory of neutral evolution was first proposed by <a href="/facts/Motoo_Kimura/9682hIVP">Motoo Kimura</a> in 1968<a class="footnote-ref" id="fnref:9" href="#fn:9">9</a> and by King and Jukes independently in 1969.<a class="footnote-ref" id="fnref:10" href="#fn:10">10</a> Kimura initially focused on differences among species; King and Jukes focused on differences within species.
Many <a href="/facts/Molecular_biology/YgqU35ub">molecular biologists</a> and <a href="/facts/Population_genetics/v55qAnKu">population geneticists</a> also contributed to the development of the neutral theory.<a class="footnote-ref" id="fnref:11" href="#fn:11">11</a><a class="footnote-ref" id="fnref:12" href="#fn:12">12</a><a class="footnote-ref" id="fnref:13" href="#fn:13">13</a> The principles of <a href="/facts/Population_genetics/v55qAnKu">population genetics</a>, established by <a href="/facts/J._B._S._Haldane/sywPNzfh">J.B.S. Haldane</a>, <a href="/facts/Ronald_Fisher/I2FVIpy9">R.A. Fisher</a>, and <a href="/facts/Sewall_Wright/XTKGQujq">Sewall Wright</a>, created a mathematical approach to analyzing <a href="/facts/Gene_frequencies/gRApYaIy">gene frequencies</a> that contributed to the development of Kimura's theory.
<a href="/facts/Haldane%27s_dilemma/WpSfI1Cp">Haldane's dilemma</a> regarding the <a href="/facts/Genetic_load/Fj2xzdzq">cost of selection</a> was used as motivation by Kimura. Haldane estimated that it takes about 300 generations for a beneficial mutation to become fixed in a mammalian lineage, meaning that the number of substitutions (1.5 per year) in the <a href="/facts/Evolution/Hj0qAaBk">evolution</a> between humans and chimpanzees was too high to be explained by beneficial mutations.

<h2 id="functional-constraint">Functional constraint</h2>
The neutral theory holds that as functional constraint diminishes, the probability that a mutation is neutral rises, and so should the rate of sequence divergence.
When comparing various <a href="/facts/Protein/Jxmagu3E">proteins</a>, extremely high evolutionary rates were observed in proteins such as <a href="/facts/Fibrinopeptide/clylatNX">fibrinopeptides</a> and the C chain of the <a href="/facts/Proinsulin/Gso3R8Rs">proinsulin</a> molecule, which both have little to no functionality compared to their active molecules. Kimura and <a href="/facts/Tomoko_Ohta/NWKQIhjx">Ohta</a> also estimated that the <a href="/facts/Hemoglobin_subunit_alpha/Gb5sqdAy">alpha</a> and <a href="/facts/Hemoglobin_subunit_beta/qJRdFIWP">beta chains</a> on the surface of a <a href="/facts/Hemoglobin/RsD1MzYA">hemoglobin</a> protein evolve at a rate almost ten times faster than the inside pockets, which would imply that the overall molecular structure of hemoglobin is less significant than the inside where the iron-containing heme groups reside.<a class="footnote-ref" id="fnref:14" href="#fn:14">14</a>
There is evidence that rates of <a href="/facts/Nucleotide/pQKEwlJI">nucleotide</a> substitution are particularly high in the third position of a <a href="/facts/Codon/zUK0bY1B">codon</a>, where there is little functional constraint.<a class="footnote-ref" id="fnref:15" href="#fn:15">15</a> This view is based in part on the <a href="/facts/Codon_degeneracy/e0h89zJm">degenerate genetic code</a>, in which sequences of three nucleotides (<a href="/facts/Codon/zUK0bY1B">codons</a>) may differ and yet encode the same <a href="/facts/Amino_acid/WDxYwBny">amino acid</a> (GCC and GCA both encode <a href="/facts/Alanine/fphQEdSc">alanine</a>, for example). Consequently, many potential single-nucleotide changes are in effect "silent" or "unexpressed" (see <a href="/facts/Synonymous_substitution/Dkf1vtDb">synonymous or silent substitution</a>). Such changes are presumed to have little or no biological effect.<a class="footnote-ref" id="fnref:16" href="#fn:16">16</a>

<h2 id="quantitative-theory">Quantitative theory</h2>
<a href="/facts/Motoo_Kimura/9682hIVP">Kimura</a> also developed the <a href="/facts/Infinite_sites_model/j0s6hqEB">infinite sites model</a> (ISM) to provide insight into evolutionary rates of <a href="/facts/Mutant_allele/Ee4NnWbY">mutant alleles</a>. If 
 
 
 
 v
 
 
 {\displaystyle v}
 
 were to represent the rate of mutation of <a href="/facts/Gamete/j8e8fls6">gametes</a> per generation of 
 
 
 
 N
 
 
 {\displaystyle N}
 
 individuals, each with two sets of <a href="/facts/Chromosome/FRGf11FC">chromosomes</a>, the total number of new mutants in each generation is 
 
 
 
 2
 N
 v
 
 
 {\displaystyle 2Nv}
 
. Now let 
 
 
 
 k
 
 
 {\displaystyle k}
 
 represent the evolution rate in terms of a mutant allele 
 
 
 
 μ
 
 
 {\displaystyle \mu }
 
 becoming fixed in a population.<a class="footnote-ref" id="fnref:17" href="#fn:17">17</a>

k
        =
        2
        N
        v
        μ
      
    
    {\displaystyle k=2Nv\mu }

According to ISM, selectively neutral mutations appear at rate 
 
 
 
 μ
 
 
 {\displaystyle \mu }
 
 in each of the 
 
 
 
 2
 N
 
 
 {\displaystyle 2N}
 
 copies of a <a href="/facts/Gene/e1swwPY6">gene</a>, and fix with probability 
 
 
 
 1
 
 /
 
 (
 2
 N
 )
 
 
 {\displaystyle 1/(2N)}
 
. Because any of the 
 
 
 
 2
 N
 
 
 {\displaystyle 2N}
 
 genes have the ability to become fixed in a population, 
 
 
 
 1
 
 /
 
 2
 N
 
 
 {\displaystyle 1/2N}
 
 is equal to 
 
 
 
 μ
 
 
 {\displaystyle \mu }
 
, resulting in the rate of evolutionary rate equation:

k
        =
        v
      
    
    {\displaystyle k=v}

This means that if all mutations were neutral, the rate at which fixed differences accumulate between divergent populations is predicted to be equal to the per-individual mutation rate, independent of population size. When the proportion of mutations that are neutral is constant, so is the divergence rate between populations. This provides a rationale for the <a href="/facts/Molecular_clock/wlM3LYmA">molecular clock</a>, which predated neutral theory.<a class="footnote-ref" id="fnref:18" href="#fn:18">18</a> The ISM also demonstrates a constancy that is observed in molecular <a href="/facts/Lineage_(genetic)/jEpk5Ps8">lineages</a>.
This stochastic process is assumed to obey equations describing random genetic drift by means of accidents of sampling, rather than for example <a href="/facts/Genetic_hitchhiking/kJhsX0RP">genetic hitchhiking</a> of a neutral allele due to <a href="/facts/Genetic_linkage/FxPcL2aQ">genetic linkage</a> with non-neutral alleles. After appearing by mutation, a neutral allele may become more common within the population via <a href="/facts/Genetic_drift/lvoEEctX">genetic drift</a>. Usually, it will be lost, or in rare cases it may become <a href="/facts/Fixation_(population_genetics)/wDJzlUq7">fixed</a>, meaning that the new allele becomes standard in the population.
According to the neutral theory of molecular evolution, the amount of <a href="/facts/Genetic_variation/f2wzYLbI">genetic variation</a> within a species should be <a href="/facts/Proportionality_(mathematics)/xDQmfh6t">proportional</a> to the <a href="/facts/Effective_population_size/WUP93ad1">effective population size</a>.

<h2 id="the-neutralistselectionist-debate">The "neutralist–selectionist" debate</h2>
See also: <a href="/facts/History_of_evolutionary_thought/Ah1RKqf0">History of evolutionary thought</a> and <a href="/facts/History_of_molecular_evolution/Q7px0ITx">History of molecular evolution</a>
A heated debate arose when Kimura's theory was published, largely revolving around the relative percentages of polymorphic and fixed <a href="/facts/Allele/8FxCS9KA">alleles</a> that are "neutral" versus "non-neutral".
A <a href="/facts/Genetic_polymorphism/6U9NzHwH">genetic polymorphism</a> means that different forms of particular genes, and hence of the <a href="/facts/Protein/Jxmagu3E">proteins</a> that they produce, are co-existing within a species. Selectionists claimed that such polymorphisms are maintained by <a href="/facts/Balancing_selection/ylgm4pv8">balancing selection</a>, while neutralists view the variation of a protein as a transient phase of <a href="/facts/Molecular_evolution/lmMbqfzH">molecular evolution</a>.<a class="footnote-ref" id="fnref:19" href="#fn:19">19</a> Studies by Richard K. Koehn and W. F. Eanes demonstrated a correlation between polymorphism and <a href="/facts/Molecular_mass/FWueGMed">molecular weight</a> of their molecular <a href="/facts/Protein_subunit/HhuET9UP">subunits</a>.<a class="footnote-ref" id="fnref:20" href="#fn:20">20</a> This is consistent with the neutral theory assumption that larger subunits should have higher rates of neutral mutation. Selectionists, on the other hand, contribute environmental conditions to be the major determinants of polymorphisms rather than structural and functional factors.<a class="footnote-ref" id="fnref:21" href="#fn:21">21</a>
According to the neutral theory of molecular evolution, the amount of <a href="/facts/Genetic_variation/f2wzYLbI">genetic variation</a> within a species should be <a href="/facts/Proportionality_(mathematics)/xDQmfh6t">proportional</a> to the <a href="/facts/Effective_population_size/WUP93ad1">effective population size</a>. Levels of genetic diversity vary much less than census population sizes, giving rise to the "paradox of variation" .<a class="footnote-ref" id="fnref:22" href="#fn:22">22</a> While high levels of genetic diversity were one of the original arguments in favor of neutral theory, the paradox of variation has been one of the strongest arguments against neutral theory.
There are a large number of statistical methods for testing whether neutral theory is a good description of evolution (e.g., <a href="/facts/McDonald-Kreitman_test/MaC0F0PR">McDonald-Kreitman test</a><a class="footnote-ref" id="fnref:23" href="#fn:23">23</a>), and many authors claimed detection of selection.<a class="footnote-ref" id="fnref:24" href="#fn:24">24</a><a class="footnote-ref" id="fnref:25" href="#fn:25">25</a><a class="footnote-ref" id="fnref:26" href="#fn:26">26</a><a class="footnote-ref" id="fnref:27" href="#fn:27">27</a><a class="footnote-ref" id="fnref:28" href="#fn:28">28</a><a class="footnote-ref" id="fnref:29" href="#fn:29">29</a> Some researchers have nevertheless argued that the neutral theory still stands, while expanding the definition of neutral theory to include background selection at linked sites.<a class="footnote-ref" id="fnref:30" href="#fn:30">30</a>

<h2 id="nearly-neutral-theory">Nearly neutral theory</h2>
<a href="/facts/Tomoko_Ohta/NWKQIhjx">Tomoko Ohta</a> also emphasized the importance of <a href="/facts/Nearly_neutral_theory_of_molecular_evolution/mtbPIPx1">nearly neutral</a> mutations, in particularly slightly deleterious mutations.<a class="footnote-ref" id="fnref:31" href="#fn:31">31</a> The <a href="/facts/Nearly_neutral_theory_of_molecular_evolution/mtbPIPx1">Nearly neutral theory</a> stems from the prediction of neutral theory that the balance between selection and genetic drift depends on <a href="/facts/Effective_population_size/WUP93ad1">effective population size</a>.<a class="footnote-ref" id="fnref:32" href="#fn:32">32</a> Nearly neutral mutations are those that carry selection coefficients less than the inverse of twice the effective population size.<a class="footnote-ref" id="fnref:33" href="#fn:33">33</a> The <a href="/facts/Population_dynamics/WXbtbncd">population dynamics</a> of nearly neutral mutations are only slightly different from those of neutral mutations unless the absolute magnitude of the selection coefficient is greater than 1/N, where N is the <a href="/facts/Effective_population_size/WUP93ad1">effective population size</a> in respect of selection.<a class="footnote-ref" id="fnref:34" href="#fn:34">34</a><a class="footnote-ref" id="fnref:35" href="#fn:35">35</a><a class="footnote-ref" id="fnref:36" href="#fn:36">36</a> The effective population size affects whether slightly deleterious mutations can be treated as neutral or as deleterious.<a class="footnote-ref" id="fnref:37" href="#fn:37">37</a> In large populations, selection can decrease the frequency of slightly deleterious mutations, therefore acting as if they are deleterious. However, in small populations, genetic drift can more easily overcome selection, causing slightly deleterious mutations to act as if they are neutral and drift to fixation or loss.<a class="footnote-ref" id="fnref:38" href="#fn:38">38</a>

<h2 id="constructive-neutral-evolution">Constructive neutral evolution</h2>
Further information: <a href="/facts/Constructive_neutral_evolution/JXhahY7P">Constructive neutral evolution</a>
The groundworks for the theory of <a href="/facts/Constructive_neutral_evolution/JXhahY7P">constructive neutral evolution</a> (CNE) was laid by two papers in the 1990s.<a class="footnote-ref" id="fnref:39" href="#fn:39">39</a><a class="footnote-ref" id="fnref:40" href="#fn:40">40</a><a class="footnote-ref" id="fnref:41" href="#fn:41">41</a> Constructive neutral evolution is a theory which suggests that complex structures and processes can emerge through neutral transitions. Although a separate theory altogether, the emphasis on neutrality as a process whereby neutral alleles are randomly fixed by <a href="/facts/Genetic_drift/lvoEEctX">genetic drift</a> finds some inspiration from the earlier attempt by the neutral theory to invoke its importance in evolution.<a class="footnote-ref" id="fnref:42" href="#fn:42">42</a> Conceptually, there are two components A and B (which may represent two proteins) which interact with each other. A, which performs a function for the system, does not depend on its interaction with B for its functionality, and the interaction itself may have randomly arisen in an individual with the ability to disappear without an effect on the fitness of A. This present yet currently unnecessary interaction is therefore called an "excess capacity" of the system. However, a mutation may occur which compromises the ability of A to perform its function independently. However, the A:B interaction that has already emerged sustains the capacity of A to perform its initial function. Therefore, the emergence of the A:B interaction "presuppresses" the deleterious nature of the mutation, making it a neutral change in the genome that is capable of spreading through the population via random genetic drift. Hence, A has gained a dependency on its interaction with B.<a class="footnote-ref" id="fnref:43" href="#fn:43">43</a> In this case, the loss of B or the A:B interaction would have a negative effect on fitness and so purifying selection would eliminate individuals where this occurs. While each of these steps are individually reversible (for example, A may regain the capacity to function independently or the A:B interaction may be lost), a random sequence of mutations tends to further reduce the capacity of A to function independently and a random walk through the dependency space may very well result in a configuration in which a return to functional independence of A is far too unlikely to occur, which makes CNE a one-directional or "ratchet-like" process.<a class="footnote-ref" id="fnref:44" href="#fn:44">44</a> CNE, which does not invoke adaptationist mechanisms for the origins of more complex systems (which involve more parts and interactions contributing to the whole), has seen application in the understanding of the evolutionary origins of the spliceosomal eukaryotic complex, RNA editing, additional ribosomal proteins beyond the core, the emergence of long-noncoding RNA from junk DNA, and so forth.<a class="footnote-ref" id="fnref:45" href="#fn:45">45</a><a class="footnote-ref" id="fnref:46" href="#fn:46">46</a><a class="footnote-ref" id="fnref:47" href="#fn:47">47</a><a class="footnote-ref" id="fnref:48" href="#fn:48">48</a> In some cases, <a href="/facts/Ancestral_sequence_reconstruction/5wDFVz7R">ancestral sequence reconstruction</a> techniques have afforded the ability for experimental demonstration of some proposed examples of CNE, as in heterooligomeric ring protein complexes in some fungal lineages.<a class="footnote-ref" id="fnref:49" href="#fn:49">49</a>
CNE has also been put forwards as the null hypothesis for explaining complex structures, and thus adaptationist explanations for the emergence of complexity must be rigorously tested on a case-by-case basis against this null hypothesis prior to acceptance. Grounds for invoking CNE as a null include that it does not presume that changes offered an adaptive benefit to the host or that they were directionally selected for, while maintaining the importance of more rigorous demonstrations of adaptation when invoked so as to avoid the excessive flaws of adaptationism criticized by Gould and Lewontin.<a class="footnote-ref" id="fnref:50" href="#fn:50">50</a><a class="footnote-ref" id="fnref:51" href="#fn:51">51</a><a class="footnote-ref" id="fnref:52" href="#fn:52">52</a>

<h2 id="empirical-evidence-for-the-neutral-theory">Empirical evidence for the neutral theory</h2>
Predictions derived from the neutral theory are generally supported in studies of molecular evolution.<a class="footnote-ref" id="fnref:53" href="#fn:53">53</a> One of corollaries of the neutral theory is that the efficiency of positive selection is higher in populations or species with higher <a href="/facts/Effective_population_size/WUP93ad1">effective population sizes</a>.<a class="footnote-ref" id="fnref:54" href="#fn:54">54</a> This relationship between the effective population size and selection efficiency was evidenced by genomic studies of species including chimpanzee and human<a class="footnote-ref" id="fnref:55" href="#fn:55">55</a> and domesticated species.<a class="footnote-ref" id="fnref:56" href="#fn:56">56</a> In small populations (e.g., a <a href="/facts/Population_bottleneck/VB5DY1jG">population bottleneck</a> during a <a href="/facts/Speciation/pmRTQbTK">speciation</a> event), slightly deleterious mutations should accumulate. Data from various species supports this prediction in that the ratio of nonsynonymous to synonymous nucleotide substitutions between species generally exceeds that within species.<a class="footnote-ref" id="fnref:57" href="#fn:57">57</a> In addition, nucleotide and amino acid substitutions generally accumulate over time in a linear fashion, which is consistent with neutral theory.<a class="footnote-ref" id="fnref:58" href="#fn:58">58</a> Arguments against the neutral theory cite evidence of widespread positive selection and <a href="/facts/Selective_sweep/tgWztazB">selective sweeps</a> in genomic data.<a class="footnote-ref" id="fnref:59" href="#fn:59">59</a> Empirical support for the neutral theory may vary depending on the type of genomic data studied and the statistical tools used to detect positive selection.<a class="footnote-ref" id="fnref:60" href="#fn:60">60</a> For example, Bayesian methods for the detection of selected codon sites and <a href="/facts/McDonald%E2%80%93Kreitman_test/MaC0F0PR">McDonald-Kreitman tests</a> have been criticized for their rate of erroneous identification of positive selection.<a class="footnote-ref" id="fnref:61" href="#fn:61">61</a><a class="footnote-ref" id="fnref:62" href="#fn:62">62</a>

<h2 id="see-also">See also</h2>
<ul><li><a href="/facts/Adaptive_evolution_in_the_human_genome/0NS4m7BP">Adaptive evolution in the human genome</a></li>
<li><a href="/facts/Coalescent_theory/6gtpBPKk">Coalescent theory</a></li>
<li><a href="/facts/Evolution_of_biological_complexity/aNhaSk5R">Evolution of biological complexity</a></li>
<li><a href="/facts/Masatoshi_Nei/BRQC5TlY">Masatoshi Nei</a></li>
<li><a href="/facts/Molecular_evolution/lmMbqfzH">Molecular evolution</a></li>
<li><a href="/facts/Tomoko_Ohta/NWKQIhjx">Tomoko Ohta</a></li>
<li><a href="/facts/Unified_neutral_theory_of_biodiversity/yo9JQmka">Unified neutral theory of biodiversity</a></li></ul>

<h2 id="external-links">External links</h2>
<ul><li><a href="http://www.evolution.berkeley.edu/evolibrary/article/0_0_0/misconcep_08">Misconceptions about natural selection and adaptation: the neutral theory</a> at <a href="http://evolution.berkeley.edu">http://evolution.berkeley.edu</a>.</li>
<li><a href="https://academic.oup.com/mbe/pages/neutral_theory">"Celebrating 50 years of the Neutral Theory"</a>. <a href="/facts/Molecular_Biology_and_Evolution/YrJPQJcW">Molecular Biology and Evolution</a>. July 2018.</li></ul>

<h2 id="references">References</h2>

<ol>
<li id="fn:1">Kimura, Motoo (1983). The neutral theory of molecular evolution. Cambridge University Press. ISBN 978-0-521-31793-1. <a href="978-0-521-31793-1" target="_blank">978-0-521-31793-1</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></li>
<li id="fn:2">Fenchel, Tom (2005-11-11). "Cosmopolitan microbes and their 'cryptic' species". Aquatic Microbial Ecology. 41 (1): 49–54. doi:10.3354/ame041049. ISSN 0948-3055. <a href="https://www.int-res.com/abstracts/ame/v41/n1/p49-54/" target="_blank">https://www.int-res.com/abstracts/ame/v41/n1/p49-54/</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></li>
<li id="fn:3">Koonin, Eugene V. (2016). "Splendor and misery of adaptation, or the importance of neutral null for understanding evolution". BMC Biology. 14 (1): 114. doi:10.1186/s12915-016-0338-2. ISSN 1741-7007. PMC 5180405. PMID 28010725. <a href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5180405" target="_blank">https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5180405</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></li>
<li id="fn:4">Lahr, Daniel J. G.; Laughinghouse, Haywood Dail; Oliverio, Angela M.; Gao, Feng; Katz, Laura A. (2014). "How discordant morphological and molecular evolution among microorganisms can revise our notions of biodiversity on Earth: Prospects & Overviews". BioEssays. 36 (10): 950–959. doi:10.1002/bies.201400056. PMC 4288574. PMID 25156897. <a href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4288574" target="_blank">https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4288574</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></li>
<li id="fn:5">Freese, E. (July 1962). "On the evolution of the base composition of DNA". Journal of Theoretical Biology. 3 (1): 82–101. Bibcode:1962JThBi...3...82F. doi:10.1016/S0022-5193(62)80005-8. <a href="/wiki/Bibcode_(identifier)" target="_blank">/wiki/Bibcode_(identifier)</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></li>
<li id="fn:6">Freese, E.; Yoshida, A. (1965). "The role of mutations in evolution.". In Bryson, V.; Vogel, H. J. (eds.). Evolving Genes and Proteins. New York: Academic. pp. 341–355. <a href="#fnref:6" class="footnote-back-ref">↩</a></li>
<li id="fn:7">Fisher R.A. 1930. The distribution of gene ratios for rare mutations. Proceedings of the Royal Society of Edinburgh volume 50, pages 205-230. <a href="#fnref:7" class="footnote-back-ref">↩</a></li>
<li id="fn:8">R.J. Berry, T.J. Crawford, G.M. Hewitt 1992. Genes in Ecology. Blackwell Scientific Publications, Oxford. pp.29-54 J.R.G.Turner: Stochastic processes in populations: the horse behind the cart?. <a href="#fnref:8" class="footnote-back-ref">↩</a></li>
<li id="fn:9">Kimura, Motoo (February 1968). "Evolutionary rate at the molecular level". Nature. 217 (5129): 624–6. Bibcode:1968Natur.217..624K. doi:10.1038/217624a0. PMID 5637732. S2CID 4161261. <a href="/wiki/Motoo_Kimura" target="_blank">/wiki/Motoo_Kimura</a> <a href="#fnref:9" class="footnote-back-ref">↩</a></li>
<li id="fn:10">King, J. L.; Jukes, T. H. (May 1969). "Non-Darwinian evolution". Science. 164 (3881): 788–98. Bibcode:1969Sci...164..788L. doi:10.1126/science.164.3881.788. PMID 5767777. <a href="/wiki/Bibcode_(identifier)" target="_blank">/wiki/Bibcode_(identifier)</a> <a href="#fnref:10" class="footnote-back-ref">↩</a></li>
<li id="fn:11">Kimura, Motoo (1983). The neutral theory of molecular evolution. Cambridge University Press. ISBN 978-0-521-31793-1. <a href="978-0-521-31793-1" target="_blank">978-0-521-31793-1</a> <a href="#fnref:11" class="footnote-back-ref">↩</a></li>
<li id="fn:12">Nei, Masatoshi (December 2005). "Selectionism and neutralism in molecular evolution". Molecular Biology and Evolution. 22 (12): 2318–2342. doi:10.1093/molbev/msi242. PMC 1513187. PMID 16120807. <a href="/wiki/Masatoshi_Nei" target="_blank">/wiki/Masatoshi_Nei</a> <a href="#fnref:12" class="footnote-back-ref">↩</a></li>
<li id="fn:13">Nei, Masatoshi (2013). Mutation-driven evolution. Oxford University Press. <a href="/wiki/Masatoshi_Nei" target="_blank">/wiki/Masatoshi_Nei</a> <a href="#fnref:13" class="footnote-back-ref">↩</a></li>
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<li id="fn:61">Hughes, Austin L. (2008). "Near Neutrality: the leading edge of the Neutral Theory of Molecular Evolution". Annals of the New York Academy of Sciences. 1133 (1): 162–179. Bibcode:2008NYASA1133..162H. doi:10.1196/annals.1438.001. ISSN 0077-8923. PMC 2707937. PMID 18559820. <a href="https://dx.doi.org/10.1196/annals.1438.001" target="_blank">https://dx.doi.org/10.1196/annals.1438.001</a> <a href="#fnref:61" class="footnote-back-ref">↩</a></li>
<li id="fn:62">Nei, Masatoshi; Suzuki, Yoshiyuki; Nozawa, Masafumi (2010-09-01). "The Neutral Theory of Molecular Evolution in the Genomic Era". Annual Review of Genomics and Human Genetics. 11 (1): 265–289. doi:10.1146/annurev-genom-082908-150129. ISSN 1527-8204. PMID 20565254. <a href="https://www.annualreviews.org/doi/10.1146/annurev-genom-082908-150129" target="_blank">https://www.annualreviews.org/doi/10.1146/annurev-genom-082908-150129</a> <a href="#fnref:62" class="footnote-back-ref">↩</a></li>
</ol>

Neutral theory of molecular evolution open-in-new

Neutral theory of molecular evolution