Multidimensional Epistasis and the Transitory Advantage of Sex
Publication Date
September 18, 2014
Journal
PLOS Computational Biology
Authors
Stefan Nowak, Johannes Neidhart, Ivan G. Szendro & Joachim Krug
Volume
10
Issue
9
Pages
e1003836
DOI
https://dx.plos.org/10.1371/journal.pcbi.1003836
Publisher URL
http://journals.plos.org/ploscompbiol/article?id=10.1371%2Fjournal.pcbi.1003836
PubMed
http://www.ncbi.nlm.nih.gov/pubmed/25232825
PubMed Central
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4168978
Europe PMC
http://europepmc.org/abstract/MED/25232825
Web of Science
000343011700033
Scopus
84907587685
Mendeley
http://www.mendeley.com/research/multidimensional-epistasis-transitory-advantage-sex
Events
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Mendeley | Further Information

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Scopus | Further Information

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Figshare

  • {"files"=>["https://ndownloader.figshare.com/files/1681612"], "description"=>"<p>The figure shows time series of and , respectively, for different values of the number of loci . For see (A) and (B), for see (C) and (D). The population size is and the mutation rate is .</p>", "links"=>[], "tags"=>["population diversity", "fitness landscapes", "Multidimensional Epistasis", "adaptive advantage", "sign epistasis", "model landscapes", "fitness peaks", "Transitory Advantage", "Red Queen hypothesis", "recombining populations", "time scale", "recombination", "benefit"], "article_id"=>1174272, "categories"=>["Uncategorised"], "users"=>["Stefan Nowak", "Johannes Neidhart", "Ivan G. Szendro", "Joachim Krug"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1003836.g007", "stats"=>{"downloads"=>0, "page_views"=>18, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Recombinational_advantage_as_a_function_of_the_number_of_loci_/1174272", "title"=>"Recombinational advantage as a function of the number of loci.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-09-18 03:33:59"}
  • {"files"=>["https://ndownloader.figshare.com/files/1681603"], "description"=>"<p>(A) and (C): Fitness of the fittest genotype vs. time for various choices of the recombination rate . Parameters correspond to those presented in <a href=\"http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1003836#pcbi-1003836-g005\" target=\"_blank\">fig. 5</a>. For short times grows more rapidly for large but at long times grows faster for small . At intermediate times the acquired fitness depends non-monotonically on . (B) and (D): vs. for various choices of the evaluation time . Whether high recombination rates are advantageous depends on evaluation time. At intermediate times, the dependence of recombinational advantage on is non-monotonic. Note that for both cases shown, has a minimum for intermediate recombination rates at intermediate times.</p>", "links"=>[], "tags"=>["population diversity", "fitness landscapes", "Multidimensional Epistasis", "adaptive advantage", "sign epistasis", "model landscapes", "fitness peaks", "Transitory Advantage", "Red Queen hypothesis", "recombining populations", "time scale", "recombination", "benefit"], "article_id"=>1174270, "categories"=>["Uncategorised"], "users"=>["Stefan Nowak", "Johannes Neidhart", "Ivan G. Szendro", "Joachim Krug"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1003836.g006", "stats"=>{"downloads"=>0, "page_views"=>12, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Recombinational_advantage_as_a_function_of_recombination_rate_and_observation_time_/1174270", "title"=>"Recombinational advantage as a function of recombination rate and observation time.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-09-18 03:33:59"}
  • {"files"=>["https://ndownloader.figshare.com/files/1681623"], "description"=>"<p>The figure shows schematic plots of fitness velocities (solid lines), (dashed lines) (A, C, E) and the corresponding behavior of (B, D, F). Red, green and blue line segments correspond to the initial, ASD and final regime, respectively. Latin numbers indicate intersections of the velocities and the corresponding extrema in . The last number in panels E and F is written in parenthesis to indicate that the two curves do not actually intersect but come very close to each other.</p>", "links"=>[], "tags"=>["population diversity", "fitness landscapes", "Multidimensional Epistasis", "adaptive advantage", "sign epistasis", "model landscapes", "fitness peaks", "Transitory Advantage", "Red Queen hypothesis", "recombining populations", "time scale", "recombination", "benefit"], "article_id"=>1174275, "categories"=>["Uncategorised"], "users"=>["Stefan Nowak", "Johannes Neidhart", "Ivan G. Szendro", "Joachim Krug"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1003836.g008", "stats"=>{"downloads"=>0, "page_views"=>49, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Summary_of_scenarios_for_a_transient_advantage_of_recombination_/1174275", "title"=>"Summary of scenarios for a transient advantage of recombination.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-09-18 03:33:59"}
  • {"files"=>["https://ndownloader.figshare.com/files/1681591"], "description"=>"<p>The figure shows time series of different observables for varying ruggedness parameter . (A, B) Mean fitness . (C, D) Fitness of the fittest individual . (E, F) Entropy of the genotype frequency distribution as a measure for genetic diversity. Left columns shows quantities for populations with and separately, the right column shows the difference. Parameters are , , and .</p>", "links"=>[], "tags"=>["population diversity", "fitness landscapes", "Multidimensional Epistasis", "adaptive advantage", "sign epistasis", "model landscapes", "fitness peaks", "Transitory Advantage", "Red Queen hypothesis", "recombining populations", "time scale", "recombination", "benefit"], "article_id"=>1174260, "categories"=>["Uncategorised"], "users"=>["Stefan Nowak", "Johannes Neidhart", "Ivan G. Szendro", "Joachim Krug"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1003836.g002", "stats"=>{"downloads"=>0, "page_views"=>17, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Dependence_of_the_recombinational_advantage_on_fitness_landscape_ruggedness_/1174260", "title"=>"Dependence of the recombinational advantage on fitness landscape ruggedness.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-09-18 03:33:59"}
  • {"files"=>["https://ndownloader.figshare.com/files/1681596"], "description"=>"<p>Fraction of escape events on RMF landscapes with in dependence on the recombination rate and normalized to the value at . The inset shows the values without normalization. For suitable choices of the population parameters has a maximum.</p>", "links"=>[], "tags"=>["population diversity", "fitness landscapes", "Multidimensional Epistasis", "adaptive advantage", "sign epistasis", "model landscapes", "fitness peaks", "Transitory Advantage", "Red Queen hypothesis", "recombining populations", "time scale", "recombination", "benefit"], "article_id"=>1174265, "categories"=>["Uncategorised"], "users"=>["Stefan Nowak", "Johannes Neidhart", "Ivan G. Szendro", "Joachim Krug"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1003836.g005", "stats"=>{"downloads"=>4, "page_views"=>20, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Escape_from_local_maxima_/1174265", "title"=>"Escape from local maxima.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-09-18 03:33:59"}
  • {"files"=>["https://ndownloader.figshare.com/files/1681629", "https://ndownloader.figshare.com/files/1681631", "https://ndownloader.figshare.com/files/1681632", "https://ndownloader.figshare.com/files/1681634", "https://ndownloader.figshare.com/files/1681635", "https://ndownloader.figshare.com/files/1681636", "https://ndownloader.figshare.com/files/1681637", "https://ndownloader.figshare.com/files/1681639"], "description"=>"<div><p>Identifying and quantifying the benefits of sex and recombination is a long-standing problem in evolutionary theory. In particular, contradictory claims have been made about the existence of a benefit of recombination on high dimensional fitness landscapes in the presence of sign epistasis. Here we present a comparative numerical study of sexual and asexual evolutionary dynamics of haploids on tunably rugged model landscapes under strong selection, paying special attention to the temporal development of the evolutionary advantage of recombination and the link between population diversity and the rate of adaptation. We show that the adaptive advantage of recombination on static rugged landscapes is strictly transitory. At early times, an advantage of recombination arises through the possibility to combine individually occurring beneficial mutations, but this effect is reversed at longer times by the much more efficient trapping of recombining populations at local fitness peaks. These findings are explained by means of well-established results for a setup with only two loci. In accordance with the Red Queen hypothesis the transitory advantage can be prolonged indefinitely in fluctuating environments, and it is maximal when the environment fluctuates on the same time scale on which trapping at local optima typically occurs.</p></div>", "links"=>[], "tags"=>["population diversity", "fitness landscapes", "Multidimensional Epistasis", "adaptive advantage", "sign epistasis", "model landscapes", "fitness peaks", "Transitory Advantage", "Red Queen hypothesis", "recombining populations", "time scale", "recombination", "benefit"], "article_id"=>1174282, "categories"=>["Uncategorised"], "users"=>["Stefan Nowak", "Johannes Neidhart", "Ivan G. Szendro", "Joachim Krug"], "doi"=>["https://dx.doi.org/10.1371/journal.pcbi.1003836.s001", "https://dx.doi.org/10.1371/journal.pcbi.1003836.s002", "https://dx.doi.org/10.1371/journal.pcbi.1003836.s003", "https://dx.doi.org/10.1371/journal.pcbi.1003836.s004", "https://dx.doi.org/10.1371/journal.pcbi.1003836.s005", "https://dx.doi.org/10.1371/journal.pcbi.1003836.s006", "https://dx.doi.org/10.1371/journal.pcbi.1003836.s007", "https://dx.doi.org/10.1371/journal.pcbi.1003836.s008"], "stats"=>{"downloads"=>0, "page_views"=>18, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Multidimensional_Epistasis_and_the_Transitory_Advantage_of_Sex_/1174282", "title"=>"Multidimensional Epistasis and the Transitory Advantage of Sex", "pos_in_sequence"=>0, "defined_type"=>4, "published_date"=>"2014-09-18 03:33:59"}
  • {"files"=>["https://ndownloader.figshare.com/files/1681594"], "description"=>"<p>The figure shows time series of mean fitness difference (A, B) and entropy difference (C, D) for varying mutation rate and two different values of the ruggedness parameter . The population size is and .</p>", "links"=>[], "tags"=>["population diversity", "fitness landscapes", "Multidimensional Epistasis", "adaptive advantage", "sign epistasis", "model landscapes", "fitness peaks", "Transitory Advantage", "Red Queen hypothesis", "recombining populations", "time scale", "recombination", "benefit"], "article_id"=>1174263, "categories"=>["Uncategorised"], "users"=>["Stefan Nowak", "Johannes Neidhart", "Ivan G. Szendro", "Joachim Krug"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1003836.g003", "stats"=>{"downloads"=>0, "page_views"=>15, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Dependence_of_the_recombinational_advantage_on_mutation_supply_/1174263", "title"=>"Dependence of the recombinational advantage on mutation supply.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-09-18 03:33:59"}
  • {"files"=>["https://ndownloader.figshare.com/files/1681595"], "description"=>"<p>The figures show the results of simulations in the infinite population size limit. (A) shows a comparison for different choices of and (B) a comparison for different mutation rates .</p>", "links"=>[], "tags"=>["population diversity", "fitness landscapes", "Multidimensional Epistasis", "adaptive advantage", "sign epistasis", "model landscapes", "fitness peaks", "Transitory Advantage", "Red Queen hypothesis", "recombining populations", "time scale", "recombination", "benefit"], "article_id"=>1174264, "categories"=>["Uncategorised"], "users"=>["Stefan Nowak", "Johannes Neidhart", "Ivan G. Szendro", "Joachim Krug"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1003836.g004", "stats"=>{"downloads"=>0, "page_views"=>11, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Advantage_of_recombination_for_infinite_populations_/1174264", "title"=>"Advantage of recombination for infinite populations.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-09-18 03:33:59"}
  • {"files"=>["https://ndownloader.figshare.com/files/1681625"], "description"=>"<p>(A) Time series of the fitness advantage of a seascape with hard reset. (B) Asymptotic fitness advantage in dependence on in the stationary state of the seascape with hard reset. The data are extracted from the time series and correspond to the value of averaged over generations 5000 to 20000. For comparison we also plotted the time series for the same set of parameters on the corresponding (static) landscape and a random initial genotype. The parameters are , and . In the inset we show the stationary advantage on a seascape with soft reset.</p>", "links"=>[], "tags"=>["population diversity", "fitness landscapes", "Multidimensional Epistasis", "adaptive advantage", "sign epistasis", "model landscapes", "fitness peaks", "Transitory Advantage", "Red Queen hypothesis", "recombining populations", "time scale", "recombination", "benefit"], "article_id"=>1174277, "categories"=>["Uncategorised"], "users"=>["Stefan Nowak", "Johannes Neidhart", "Ivan G. Szendro", "Joachim Krug"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1003836.g009", "stats"=>{"downloads"=>0, "page_views"=>17, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Advantage_of_recombination_in_fitness_seascapes_/1174277", "title"=>"Advantage of recombination in fitness seascapes.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-09-18 03:33:59"}
  • {"files"=>["https://ndownloader.figshare.com/files/1681590"], "description"=>"<p>The figure shows time series of (A) mean fitness and (B) difference of the mean fitnesses for recombining () and non-recombining () populations in an additive landscape. Time is measured in discrete generations. Population parameters are , , and the slope of the additive fitness landscape is . Although not visible to the naked eye, converges to a value below zero at long times.</p>", "links"=>[], "tags"=>["population diversity", "fitness landscapes", "Multidimensional Epistasis", "adaptive advantage", "sign epistasis", "model landscapes", "fitness peaks", "Transitory Advantage", "Red Queen hypothesis", "recombining populations", "time scale", "recombination", "benefit"], "article_id"=>1174259, "categories"=>["Uncategorised"], "users"=>["Stefan Nowak", "Johannes Neidhart", "Ivan G. Szendro", "Joachim Krug"], "doi"=>"https://dx.doi.org/10.1371/journal.pcbi.1003836.g001", "stats"=>{"downloads"=>0, "page_views"=>17, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Advantage_of_recombination_on_a_smooth_fitness_landscape_/1174259", "title"=>"Advantage of recombination on a smooth fitness landscape.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-09-18 03:33:59"}

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