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During meiosis, chromosomes occasionally separate improperly. This occurs due to failure of homologous chromosome separation during meiosis I or failed sister chromatid separation during meiosis II. In some species, notably plants, nondisjunction can result in an organism with an entire additional set of chromosomes, which is called polyploidy. In humans, nondisjunction can occur during male or female gametogenesis and the resulting gametes possess one too many or one too few chromosomes.
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Nondisjunction is the failure of homologous chromosomes or sister chromatids to separate correctly and move to the opposite poles of the cells. This produces daughter cells with abnormal chromosome numbers.  Nondisjunction is common during anaphase I or anaphase II of meiosis.  Mutations in synaptonemal complex proteins that attach homologous chromosomes increase the chances of nondisjunction in anaphase I of meiosis I. In contrast, mutations in topoisomerases and condensins that hold...
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While Mendel’s Law of Segregation states that the two alleles for one gene are separated into different gametes, a different question of how different genes are inherited remains. For example, is the gene for tall plants inherited with the gene for green peas? Mendel asked this question by experimenting with a dihybrid cross; a cross in which both parents are homozygous for two distinct traits resulting in an F1 generation that are heterozygous for both traits.
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Diploid organisms have two alleles of each gene, one from each parent, in their somatic cells. Therefore, each individual contributes two alleles to the gene pool of the population. The gene pool of a population is the sum of every allele of all genes within that population and has some degree of variation. Genetic variation is typically expressed as a relative frequency, which is the percentage of the total population that has a given allele, genotype or phenotype.
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Meiosis II entails cell division and segregation of the sister chromatids, resulting in the production of four unique haploid gametes. The steps for meiosis II are similar to mitosis, except that meiosis II occurs in haploid cells, whereas mitosis occurs in diploid cells.
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Pairwise linkage disequilibrium estimation for polyploids.

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  • 1Department of Mathematics and Statistics, American University, Washington, DC, USA.

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Summary
This summary is machine-generated.

This study characterizes linkage disequilibrium (LD) in polyploids, developing new methods to estimate LD even with uncertain genotypes. The methods provide standard errors, improving accuracy in polyploid genetic studies.

Keywords:
LDcompositecorrelationgenotype likelihoodshaplotypicpolyploidy

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Area of Science:

  • Statistical Genetics
  • Population Genetics
  • Genomics

Background:

  • Linkage disequilibrium (LD) estimation is crucial in statistical genetics.
  • Existing LD methods are mature for diploids but lack comprehensive characterization for polyploids.
  • Polyploids present unique challenges, including higher genotype uncertainty and a lack of methods to address it.

Purpose of the Study:

  • To characterize haplotypic and composite measures of LD in polyploids.
  • To develop methods for estimating LD in polyploids, accounting for genotype uncertainty.
  • To derive standard errors for LD estimators to quantify uncertainty.

Main Methods:

  • Characterization of haplotypic and composite LD measures in polyploids.
  • Development of LD estimation procedures directly from genotype likelihoods to handle uncertainty.
  • Derivation of standard errors for all proposed LD estimators.

Main Results:

  • Defined novel haplotypic and composite LD measures for polyploids.
  • Established robust methods for estimating polyploid LD from genotype likelihoods, addressing uncertainty.
  • Provided methods to quantify uncertainty in LD estimates through derived standard errors.

Conclusions:

  • The study provides the first comprehensive framework for LD estimation in polyploids, including methods for genotype uncertainty.
  • The developed methods are validated on real and simulated data, demonstrating their efficacy.
  • An R package, ldsep, is available for implementing these novel LD estimation techniques.