The accumulation of deleterious genes in a population—Muller's Ratchet
A quantitative study of the operation of Muller's Ratchet for the accumulation of deleterious genes in an asexually reproducing population is made. For a population of size N, in which deleterious mutations occur at rate λ/genome/ generation, and the relative fitness of an individual with k mut...
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| Veröffentlicht in: | Theoretical population biology 1978-10, Vol.14 (2), p.251-267 |
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| container_title | Theoretical population biology |
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| creator | Haigh, John |
| description | A quantitative study of the operation of Muller's Ratchet for the accumulation of deleterious genes in an asexually reproducing population is made. For a population of size
N, in which deleterious mutations occur at rate λ/genome/ generation, and the relative fitness of an individual with
k mutants is (1 −
s)
k
, the most important parameter is
n
0 = Ne
−θ,
where θ =
λ
s
. If
n
0 is large (⩾25), deleterious mutations will accumulate very slowly, and independently of each other; if
n
0 is small ( |
| doi_str_mv | 10.1016/0040-5809(78)90027-8 |
| format | Article |
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N, in which deleterious mutations occur at rate λ/genome/ generation, and the relative fitness of an individual with
k mutants is (1 −
s)
k
, the most important parameter is
n
0 = Ne
−θ,
where θ =
λ
s
. If
n
0 is large (⩾25), deleterious mutations will accumulate very slowly, and independently of each other; if
n
0 is small (<1), the rate of accumulation of deleterious mutations will be greater than a natural population could plausibly bear; an estimate of the speed of the Ratchet for intermediate values of
n
0 is made. It is pointed out that the frequency distribution for the numbers of individuals carrying
k mutants will retain its shape, but will move bodily to the right at the same average speed as the Ratchet. When favourable mutations also occur, the frequency distributions can move right of left; an estimate of the probability that any particular step is right or left is made, and it is shown that, for a given
net rate of arrisal of deleterious mutations, the greater the rate of beneficial mutation, the greater the chance that beneficial mutations will accumulate.</description><identifier>ISSN: 0040-5809</identifier><identifier>EISSN: 1096-0325</identifier><identifier>DOI: 10.1016/0040-5809(78)90027-8</identifier><identifier>PMID: 746491</identifier><language>eng</language><publisher>United States: Elsevier Inc</publisher><subject>Biological Evolution ; Genes ; Genetics, Population ; Models, Biological ; Mutation</subject><ispartof>Theoretical population biology, 1978-10, Vol.14 (2), p.251-267</ispartof><rights>1978</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c422t-fdccb0dbf70e1ccd22ed158c284edbe13c46c29e5f1923cb593eff49a9809afe3</citedby><cites>FETCH-LOGICAL-c422t-fdccb0dbf70e1ccd22ed158c284edbe13c46c29e5f1923cb593eff49a9809afe3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/0040-5809(78)90027-8$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/746491$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Haigh, John</creatorcontrib><title>The accumulation of deleterious genes in a population—Muller's Ratchet</title><title>Theoretical population biology</title><addtitle>Theor Popul Biol</addtitle><description>A quantitative study of the operation of Muller's Ratchet for the accumulation of deleterious genes in an asexually reproducing population is made. For a population of size
N, in which deleterious mutations occur at rate λ/genome/ generation, and the relative fitness of an individual with
k mutants is (1 −
s)
k
, the most important parameter is
n
0 = Ne
−θ,
where θ =
λ
s
. If
n
0 is large (⩾25), deleterious mutations will accumulate very slowly, and independently of each other; if
n
0 is small (<1), the rate of accumulation of deleterious mutations will be greater than a natural population could plausibly bear; an estimate of the speed of the Ratchet for intermediate values of
n
0 is made. It is pointed out that the frequency distribution for the numbers of individuals carrying
k mutants will retain its shape, but will move bodily to the right at the same average speed as the Ratchet. When favourable mutations also occur, the frequency distributions can move right of left; an estimate of the probability that any particular step is right or left is made, and it is shown that, for a given
net rate of arrisal of deleterious mutations, the greater the rate of beneficial mutation, the greater the chance that beneficial mutations will accumulate.</description><subject>Biological Evolution</subject><subject>Genes</subject><subject>Genetics, Population</subject><subject>Models, Biological</subject><subject>Mutation</subject><issn>0040-5809</issn><issn>1096-0325</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1978</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNp9kLtOwzAUhi3ErRTeoEMmLkPAdpyLFyRUAUUqQkJltpzjY2qUJsVOkNh4CJ6QJyGlVUemM_wXnf8jZMToJaMsu6JU0DgtqDzPiwtJKc_jYocMGJVZTBOe7pLB1nJIjkJ4o5QWLEkOyH4uMiHZgExmc4w0QLfoKt26po4aGxmssEXvmi5Er1hjiFwd6WjZLDemn6_vx66q0J-F6Fm3MMf2mOxZXQU82dwhebm7nY0n8fTp_mF8M41BcN7G1gCU1JQ2p8gADOdoWFoALwSaElkCIgMuMbVM8gTKVCZorZBa9iO0xWRITte9S9-8dxhatXABsKp0jf2_Khc8zSRnvVGsjeCbEDxatfRuof2nYlSt-KkVHLWCo_JC_fFTRR8bbfq7coFmG1oD6-XrtYz9xg-HXgVwWAMa5xFaZRr3f_8vF6qBKA</recordid><startdate>197810</startdate><enddate>197810</enddate><creator>Haigh, John</creator><general>Elsevier Inc</general><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>197810</creationdate><title>The accumulation of deleterious genes in a population—Muller's Ratchet</title><author>Haigh, John</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c422t-fdccb0dbf70e1ccd22ed158c284edbe13c46c29e5f1923cb593eff49a9809afe3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1978</creationdate><topic>Biological Evolution</topic><topic>Genes</topic><topic>Genetics, Population</topic><topic>Models, Biological</topic><topic>Mutation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Haigh, John</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Theoretical population biology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Haigh, John</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The accumulation of deleterious genes in a population—Muller's Ratchet</atitle><jtitle>Theoretical population biology</jtitle><addtitle>Theor Popul Biol</addtitle><date>1978-10</date><risdate>1978</risdate><volume>14</volume><issue>2</issue><spage>251</spage><epage>267</epage><pages>251-267</pages><issn>0040-5809</issn><eissn>1096-0325</eissn><abstract>A quantitative study of the operation of Muller's Ratchet for the accumulation of deleterious genes in an asexually reproducing population is made. For a population of size
N, in which deleterious mutations occur at rate λ/genome/ generation, and the relative fitness of an individual with
k mutants is (1 −
s)
k
, the most important parameter is
n
0 = Ne
−θ,
where θ =
λ
s
. If
n
0 is large (⩾25), deleterious mutations will accumulate very slowly, and independently of each other; if
n
0 is small (<1), the rate of accumulation of deleterious mutations will be greater than a natural population could plausibly bear; an estimate of the speed of the Ratchet for intermediate values of
n
0 is made. It is pointed out that the frequency distribution for the numbers of individuals carrying
k mutants will retain its shape, but will move bodily to the right at the same average speed as the Ratchet. When favourable mutations also occur, the frequency distributions can move right of left; an estimate of the probability that any particular step is right or left is made, and it is shown that, for a given
net rate of arrisal of deleterious mutations, the greater the rate of beneficial mutation, the greater the chance that beneficial mutations will accumulate.</abstract><cop>United States</cop><pub>Elsevier Inc</pub><pmid>746491</pmid><doi>10.1016/0040-5809(78)90027-8</doi><tpages>17</tpages></addata></record> |
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| ispartof | Theoretical population biology, 1978-10, Vol.14 (2), p.251-267 |
| issn | 0040-5809 1096-0325 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_74256921 |
| source | MEDLINE; Access via ScienceDirect (Elsevier) |
| subjects | Biological Evolution Genes Genetics, Population Models, Biological Mutation |
| title | The accumulation of deleterious genes in a population—Muller's Ratchet |
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