Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Moran_process> ?p ?o }
Showing triples 1 to 72 of
72
with 100 triples per page.
- Moran_process abstract "A Moran process or Moran model is a simple stochastic process used in biology to describe finite populations. The process is named after Patrick Moran, who first proposed the model in 1958. It can be used to model variety-increasing processes such as mutation as well as variety-reducing effects such as genetic drift and natural selection. The process can describe the probabilistic dynamics in a finite population of constant size N in which two alleles A and B are competing for dominance. The two alleles are considered to be true replicators (i.e. entities that make copies of themselves).In each time step a random individual (which is of either type A or B) is chosen for reproduction and a random individual is chosen for death; thus ensuring that the population size remains constant. To model selection, one type has to have a higher fitness and is thus more likely to be chosen for reproduction.The same individual can be chosen for death and for reproduction in the same step.".
- Moran_process wikiPageExternalLink Moran.
- Moran_process wikiPageID "21700432".
- Moran_process wikiPageLength "18008".
- Moran_process wikiPageOutDegree "37".
- Moran_process wikiPageRevisionID "679092457".
- Moran_process wikiPageWikiLink Allele.
- Moran_process wikiPageWikiLink Biology.
- Moran_process wikiPageWikiLink Category:Evolutionary_dynamics.
- Moran_process wikiPageWikiLink Category:Population_genetics.
- Moran_process wikiPageWikiLink Category:Stochastic_processes.
- Moran_process wikiPageWikiLink Divergence.
- Moran_process wikiPageWikiLink Evolutionary_game_theory.
- Moran_process wikiPageWikiLink Expected_value.
- Moran_process wikiPageWikiLink Fitness_(biology).
- Moran_process wikiPageWikiLink Genetic_drift.
- Moran_process wikiPageWikiLink Genome.
- Moran_process wikiPageWikiLink Kronecker_delta.
- Moran_process wikiPageWikiLink Law_of_total_expectation.
- Moran_process wikiPageWikiLink Law_of_total_variance.
- Moran_process wikiPageWikiLink Molecular_clock.
- Moran_process wikiPageWikiLink Mutation.
- Moran_process wikiPageWikiLink Mutation_rate.
- Moran_process wikiPageWikiLink Natural_selection.
- Moran_process wikiPageWikiLink Neutral_mutation.
- Moran_process wikiPageWikiLink Neutral_theory_of_molecular_evolution.
- Moran_process wikiPageWikiLink P._A._P._Moran.
- Moran_process wikiPageWikiLink Recurrence_relation.
- Moran_process wikiPageWikiLink Replicator.
- Moran_process wikiPageWikiLink Species.
- Moran_process wikiPageWikiLink Stochastic_matrix.
- Moran_process wikiPageWikiLink Stochastic_process.
- Moran_process wikiPageWikiLink Tridiagonal_matrix.
- Moran_process wikiPageWikiLink Variance.
- Moran_process wikiPageWikiLink Wikt:finite.
- Moran_process wikiPageWikiLinkText "Moran model".
- Moran_process wikiPageWikiLinkText "Moran process".
- Moran_process bg "#f2dfce;".
- Moran_process content "Also in this case, fixation probabilities can be computed, but the transition probabilities are not symmetric. The notation and is used. The fixation probability can be defined recursively and a new variable is introduced. : Now two properties from the definition of the variable can be used to find a closed form solution for the fixation probabilities: : Combining and : : which implies: : This in turn gives us: : ----".
- Moran_process content "For the expected value the calculation runs as follows : For the variance the calculation runs as follows, using the variance of a single step : ----".
- Moran_process content "For the expected value the calculation runs as follows. Writing : Writing and , and applying the law of total expectation, Applying the argument repeatedly gives or For the variance the calculation runs as follows. Writing we have : For all , and are identically distributed, so their variances are equal. Writing as before and , and applying the law of total variance, : If , we obtain : Rewriting this equation as : yields : as desired. ----".
- Moran_process content "The mean time spent in state j when starting in state i which is given by : Here denotes the Kroenecker delta. This recursive equation can be solved using a new variable so that and thus and rewritten : The variable is used and the equation becomes : Knowing that and : we can calculate : : Therefore : with . Now , the total time until fixation starting from state i, can be calculated : ----".
- Moran_process contentcss "border:1px #C4C3D0solid;".
- Moran_process header "For a mathematical derivation of the equation above, click on "show" to reveal".
- Moran_process headercss "color:black;".
- Moran_process wikiPageUsesTemplate Template:=.
- Moran_process wikiPageUsesTemplate Template:Cite_book.
- Moran_process wikiPageUsesTemplate Template:Cite_web.
- Moran_process wikiPageUsesTemplate Template:Hidden.
- Moran_process wikiPageUsesTemplate Template:Math.
- Moran_process wikiPageUsesTemplate Template:Mvar.
- Moran_process wikiPageUsesTemplate Template:Reflist.
- Moran_process wikiPageUsesTemplate Template:Sfrac.
- Moran_process wikiPageUsesTemplate Template:Stochastic_processes.
- Moran_process subject Category:Evolutionary_dynamics.
- Moran_process subject Category:Population_genetics.
- Moran_process subject Category:Stochastic_processes.
- Moran_process hypernym Process.
- Moran_process type Election.
- Moran_process type Type.
- Moran_process type Dynamic.
- Moran_process type Process.
- Moran_process type Redirect.
- Moran_process type Subfield.
- Moran_process type Type.
- Moran_process comment "A Moran process or Moran model is a simple stochastic process used in biology to describe finite populations. The process is named after Patrick Moran, who first proposed the model in 1958. It can be used to model variety-increasing processes such as mutation as well as variety-reducing effects such as genetic drift and natural selection. The process can describe the probabilistic dynamics in a finite population of constant size N in which two alleles A and B are competing for dominance.".
- Moran_process label "Moran process".
- Moran_process sameAs Q17157279.
- Moran_process sameAs m.05zs6ry.
- Moran_process sameAs Q17157279.
- Moran_process wasDerivedFrom Moran_process?oldid=679092457.
- Moran_process isPrimaryTopicOf Moran_process.