The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Maximum-likelihood estimation of molecular haplotype frequencies in a diploid population.
Open accessAbstract
Molecular techniques allow the survey of a large number of linked polymorphic loci in random samples from diploid populations. However, the gametic phase of haplotypes is usually unknown when diploid individuals are heterozygous at more than one locus. To overcome this difficulty, we implement an expectation-maximization (EM) algorithm leading to maximum-likelihood estimates of molecular haplotype frequencies under the assumption of Hardy-Weinberg proportions. The performance of the algorithm is evaluated for simulated data representing both DNA sequences and highly polymorphic loci with different levels of recombination. As expected, the EM algorithm is found to perform best for large samples, regardless of recombination rates among loci. To ensure finding the global maximum likelihood estimate, the EM algorithm should be started from several initial conditions. The present approach appears to be useful for the analysis of nuclear DNA sequences or highly variable loci. Although the algorithm, in principle, can accommodate an arbitrary number of loci, there are practical limitations because the computing time grows exponentially with the number of polymorphic loci. Although the algorithm, in principle, can accommodate an arbitrary number of loci, there are practical limitations because the computing time grows exponentially with the number of polymorphic loci.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Often, genotypes can be resolved into several possible haplotypes, and inferred frequencies of rare haplotypes can be quite wrong10.”
From Linkage disequilibrium--understanding the evolutionary past and mapping the medical future. (2008) · cites this paper as [10]
Citations
Cites
Maximum Likelihood from Incomplete Data Via the EM Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444
Molecular Markers, Natural History and Evolution
Avise, J. C. (1994) · Springer eBooks · doi:10.1007/978-1-4615-2381-9 · Cited by 5,210
Analysis of any point mutation in DNA. The amplification refractory mutation system (ARMS)
Newton, C. R., Graham, A., Heptinstall, L., Powell, S. J., Summers, C. W., Kalsheker, N. A., Smith, J. C., & Markham, A. F. (1989) · Nucleic Acids Research · doi:10.1093/nar/17.7.2503 · Cited by 2,483
Genetic data analysis II: methods for discrete population genetic data
(1996) · Choice Reviews Online · doi:10.5860/choice.34-2150 · Cited by 1,626
Inference of haplotypes from PCR-amplified samples of diploid populations.
(1990) · Molecular Biology and Evolution · doi:10.1093/oxfordjournals.molbev.a040591 · Cited by 765
Wu, D. Y., Ugozzoli, L. A., Pal, B. K., & Wallace, R. B. (1989) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.86.8.2757 · Cited by 617
Estimation of linkage disequilibrium in randomly mating populations
Hill, W. G. (1974) · Heredity · doi:10.1038/hdy.1974.89 · Cited by 605
Genetic Data Analysis: Methods for Discrete Population Genetic Data
Slatkin, M., Maddison, W. P., & Weir, B. S. (1991) · Systematic Biology · doi:10.1093/sysbio/40.2.248 · Cited by 395
Self-citationLinkage disequilibrium in growing and stable populations.
Slatkin, M. (1994) · Genetics · doi:10.1093/genetics/137.1.331 · Cited by 352
Self-citationTHE ESTIMATION OF GENE FREQUENCIES IN A RANDOM‐MATING POPULATION
CEPPELLINI, B. R., SINISCALCO, M., & Smith, C. A. B. (1955) · Annals of Human Genetics · doi:10.1111/j.1469-1809.1955.tb01360.x · Cited by 346
Haplotype of multiple polymorphisms resolved by enzymatic amplification of single DNA molecules.
Ruaño, G., Kídd, K. K., & Stephens, J. C. (1990) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.87.16.6296 · Cited by 149
COUNTING METHODS IN GENETICAL STATISTICS
Smith, C. A. B. (1957) · Annals of Human Genetics · doi:10.1111/j.1469-1809.1972.tb00287.x · Cited by 123
Perlin, M. W., Burks, M. B., Hoop, R. C., & Hoffman, E. P. (1994) · PubMed Central · Cited by 27
Estimation of Haplotype Frequency and Linkage Disequilibrium Parameter in the HLA System1
Yasuda, N. (1978) · Tissue Antigens · doi:10.1111/j.1399-0039.1978.tb01339.x · Cited by 20
Cited by
Sorted by citations
Arlequin (version 3.0): An integrated software package for population genetics data analysis
Excoffier, L., Laval, G., & Schneider, S. (2005) · Evolutionary Bioinformatics · doi:10.1177/117693430500100003 · Cited by 14,265
Self-citationTopHat: discovering splice junctions with RNA-Seq
Trapnell, C., Pachter, L. S., & Salzberg, S. L. (2009) · Bioinformatics · doi:10.1093/bioinformatics/btp120 · Cited by 11,682
A New Statistical Method for Haplotype Reconstruction from Population Data
Stephens, M., Smith, N. J. C., & Donnelly, P. (2001) · The American Journal of Human Genetics · doi:10.1086/319501 · Cited by 7,512
Li, H. (2011) · Bioinformatics · doi:10.1093/bioinformatics/btr509 · Cited by 6,454
Mendelian randomization: Using genes as instruments for making causal inferences in epidemiology
Lawlor, D. A., Harbord, R. M., Sterne, J. A. C., Timpson, N., & Davey Smith, G. (2008) · Statistics in Medicine · doi:10.1002/sim.3034 · Cited by 4,618
Metadata
- Authors
- Excoffier, L., & Slatkin, M.
- Affiliations
- University of Geneva (CH)
- Venue
- Molecular Biology and Evolution
- Publisher
- Oxford University Press (OUP)
- Published
- 1995-09
- Volume
- 12
- Issue
- 5
- Pages
- 921-7
- ISSN
- 0737-4038 (ISSN-L)
- 1537-1719
- OpenAlex
- W1891283710
- Cited by
- 1,950
- References
- 14
- Citations by year
- 2026: 5 · 2025: 8 · 2024: 14 · 2023: 19 · 2022: 18 · 2021: 20 · 2020: 32 · 2019: 29 · 2018: 30 · 2017: 20 · 2016: 46 · 2015: 41 · 2014: 52 · 2013: 69 · 2012: 76
- FWCI
- 3.10
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Molecular Biology and Evolution (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Science Foundation
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (39847)
- National Institutes of Health
- National Institute of General Medical Sciences (GM-40282, R01GM040282)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic diversity and population structure
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Forensic and Genetic Research
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Genetic Associations and Epidemiology
- Keywords
- haplotype frequencies, maximum likelihood estimation, expectation-maximization algorithm, Hardy-Weinberg equilibrium, recombination, heterozygosity, diploid populations, multilocus analysis, computational complexity
- MeSH terms
- Algorithms, Animals, Diploidy, Gene Frequency, Haplotypes, Humans, Genetic Linkage, Mathematics, Models, Genetic, Monte Carlo Method, Probability, Regression Analysis, Models, Statistical
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review