{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,5]],"date-time":"2026-10-05T18:51:02Z","timestamp":1791226262267,"version":"4.1.0"},"reference-count":57,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2001,10,1]],"date-time":"2001-10-01T00:00:00Z","timestamp":1001894400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2001,10,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Polyploidy has played an important role in higher plant evolution and applied plant breeding. Polyploids are commonly categorized as allopolyploids resulting from the increase of chromosome number through hybridization and subsequent chromosome doubling or autopolyploids due to chromosome doubling of the same genome. Allopolyploids undergo bivalent pairing at meiosis because only homologous chromosomes pair. For autopolyploids, however, all homologous chromosomes can pair at the same time so that multivalents and, therefore, double reductions are formed. In this article, we use a maximum-likelihood method to develop a general polyploid model for estimating gene segregation patterns from molecular markers in a full-sib family derived from an arbitrary polyploid combining meiotic behaviors of both bivalent and multivalent pairings. Two meiotic parameters, one describing the preference of homologous chromosome pairing (expressed as the preferential pairing factor) typical of allopolyploids and the other specifying the degree of double reduction of autopolyploids, are estimated. The type of molecular markers used can be fully informative vs. partially informative or dominant vs. codominant. Simulation studies show that our polyploid model is well suited to estimate the preferential pairing factor and the frequency of double reduction at meiosis, which should help to characterize gene segregation in the progeny of autopolyploids. The implications of this model for linkage mapping, population genetic studies, and polyploid classification are discussed.<\/jats:p>","DOI":"10.1093\/genetics\/159.2.869","type":"journal-article","created":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T05:41:46Z","timestamp":1619588506000},"page":"869-882","source":"Crossref","is-referenced-by-count":85,"title":["A General Polyploid Model for Analyzing Gene Segregation in Outcrossing Tetraploid Species"],"prefix":"10.1093","volume":"159","author":[{"given":"Rongling","family":"Wu","sequence":"first","affiliation":[{"name":"Department of Statistics, Institute of Food and Agricultural Sciences, University of Florida, Gainesville, Florida 32611"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Maria","family":"Gallo-Meagher","sequence":"additional","affiliation":[{"name":"Agronomy Department, Institute of Food and Agricultural Sciences, University of Florida, Gainesville, Florida 32611"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ramon C","family":"Littell","sequence":"additional","affiliation":[{"name":"Department of Statistics, Institute of Food and Agricultural Sciences, University of Florida, Gainesville, Florida 32611"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhao-Bang","family":"Zeng","sequence":"additional","affiliation":[{"name":"Program in Statistical Genetics, Department of Statistics, North Carolina State University, Raleigh, North Carolina 27695"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2001,10,1]]},"reference":[{"key":"2022010507231186100_R1","doi-asserted-by":"crossref","first-page":"1083","DOI":"10.1093\/genetics\/145.4.1083","article-title":"Secondary tetrasomic segregation of MDH-B and preferential pairing of homeologues in rainbow trout","volume":"145","author":"Allendorf","year":"1997","journal-title":"Genetics"},{"key":"2022010507231186100_R2","first-page":"185","article-title":"The theoretical population genetics of autopolyploidy","volume":"8","author":"Bever","year":"1992","journal-title":"Oxf. Surv. Evol. Biol."},{"key":"2022010507231186100_R3","doi-asserted-by":"crossref","first-page":"1194","DOI":"10.1007\/s001220051324","article-title":"A molecular marker linkage map of tetraploid alfalfa (Medicago sativa L.)","volume":"99","author":"Brouwer","year":"1999","journal-title":"Theor. Appl. Genet."},{"key":"2022010507231186100_R4","doi-asserted-by":"crossref","first-page":"6608","DOI":"10.1073\/pnas.100101097","article-title":"Selection-mutation balance in polysomic tetraploids: impact of double reduction and gametophytic selection on the frequency and subchromosomal localization of deleterious mutations","volume":"97","author":"Butruille","year":"2000","journal-title":"Proc. Natl. Acad. Sci. 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Genet."},{"key":"2022010507231186100_R15","doi-asserted-by":"crossref","DOI":"10.7312\/gran92318","volume-title":"Plant Speciation","author":"Grant","year":"1981","edition":"2"},{"key":"2022010507231186100_R16","doi-asserted-by":"crossref","first-page":"987","DOI":"10.1093\/genetics\/142.3.987","article-title":"RFLP mapping in cultivated sugarcane (Saccharum spp): genome organization in a highly polyploid and aneuploid inter-specific hybrid","volume":"142","author":"Grivet","year":"1996","journal-title":"Genetics"},{"key":"2022010507231186100_R17","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1017\/S0016672398003188","article-title":"Linkage analysis in tetraploid species: a simulation study","volume":"71","author":"Hackett","year":"1998","journal-title":"Genet. Res."},{"key":"2022010507231186100_R18","doi-asserted-by":"crossref","first-page":"936","DOI":"10.1139\/g99-026","article-title":"Synapsis in a natural autotetraploid","volume":"42","author":"Hauber","year":"1999","journal-title":"Genome"},{"key":"2022010507231186100_R19","doi-asserted-by":"crossref","first-page":"857","DOI":"10.1007\/BF00225029","article-title":"Estimation of the coefficient of double reduction in the cultivated tetraploid potato","volume":"85","author":"Haynes","year":"1993","journal-title":"Theor. Appl. Genet."},{"key":"2022010507231186100_R20","doi-asserted-by":"crossref","first-page":"504","DOI":"10.1007\/BF00219440","article-title":"Estimation of preferential pairing in tetraploid \u00d7 diploid hybridizations","volume":"81","author":"Haynes","year":"1991","journal-title":"Theor. Appl. Genet."},{"key":"2022010507231186100_R21","doi-asserted-by":"crossref","first-page":"982","DOI":"10.1126\/science.202.4371.982","article-title":"Homeologous chromosome pairing: frequency difference in inbred and intraspecific hybrid polyploid ferns","volume":"202","author":"Hickok","year":"1978","journal-title":"Science"},{"key":"2022010507231186100_R22","doi-asserted-by":"crossref","first-page":"1491","DOI":"10.1002\/j.1537-2197.1993.tb15395.x","article-title":"Polyploidy and the evolution of domesticated plants","volume":"80","author":"Hilu","year":"1993","journal-title":"Am. J. Bot."},{"key":"2022010507231186100_R23","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1002\/j.1537-2197.1982.tb13284.x","article-title":"Cytogenetic analysis of autopolyploids: models and methods for triploids to octoploids","volume":"69","author":"Jackson","year":"1982","journal-title":"Am. J. 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Bot."},{"key":"2022010507231186100_R25","doi-asserted-by":"crossref","first-page":"827","DOI":"10.1139\/g95-107","article-title":"Cytogenetics of natural autohexaploid Lathyrus palustris","volume":"38","author":"Khawaja","year":"1995","journal-title":"Genome"},{"key":"2022010507231186100_R26","doi-asserted-by":"crossref","first-page":"470","DOI":"10.1016\/S1360-1385(97)01154-0","article-title":"Polyploidy in angiosperms","volume":"2","author":"Leitch","year":"1997","journal-title":"Trends Plant Sci."},{"key":"2022010507231186100_R27","doi-asserted-by":"crossref","first-page":"222","DOI":"10.1139\/g83-036","article-title":"An assessment of preferential chromosome pairing at meiosis in Dactylis glomerata","volume":"25","author":"Lenz","year":"1983","journal-title":"Can. J. Genet. Cytol."},{"key":"2022010507231186100_R28","doi-asserted-by":"crossref","first-page":"1067","DOI":"10.1007\/s001220051388","article-title":"Predicting parental genotypes and gene segregation for tetrasomic inheritance","volume":"100","author":"Luo","year":"2000","journal-title":"Theor. Appl. Genet."},{"key":"2022010507231186100_R29","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1093\/genetics\/116.2.299","article-title":"Single locus inheritance in the tetraploid treefrog Hyla versicolor with an analysis of expected progeny ratios in tetraploid organisms","volume":"116","author":"Marsden","year":"1987","journal-title":"Genetics"},{"key":"2022010507231186100_R30","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1126\/science.264.5157.421","article-title":"Stomatal size in fossil plants\u2014evidence for polyploidy in majority of angiosperms","volume":"264","author":"Masterson","year":"1994","journal-title":"Science"},{"key":"2022010507231186100_R31","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1007\/BF02982205","article-title":"Reductional and equational separation of the chromosomes in bivalents and multivalents","volume":"30","author":"Mather","year":"1935","journal-title":"J. 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Bot."},{"key":"2022010507231186100_R41","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1080\/07352689309701903","article-title":"Molecular data and the dynamic nature of polyploidy","volume":"12","author":"Soltis","year":"1993","journal-title":"Crit. Rev. Plant Sci."},{"key":"2022010507231186100_R42","doi-asserted-by":"crossref","first-page":"348","DOI":"10.1016\/S0169-5347(99)01638-9","article-title":"Polyploidy: recurrent formation and genome evolution","volume":"14","author":"Soltis","year":"1999","journal-title":"Trends Ecol. Evol."},{"key":"2022010507231186100_R43","doi-asserted-by":"crossref","first-page":"7051","DOI":"10.1073\/pnas.97.13.7051","article-title":"The role of genetic and genomic attributes in the success of polyploids","volume":"97","author":"Soltis","year":"2000","journal-title":"Proc. Natl. Acad. Sci. 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Autotetraploids","volume":"50","author":"Sybenga","year":"1975","journal-title":"Chromosoma"},{"key":"2022010507231186100_R47","doi-asserted-by":"crossref","first-page":"745","DOI":"10.1139\/g88-122","article-title":"Mathematical models for estimating preferential pairing and recombination in triploid hybrids","volume":"30","author":"Sybenga","year":"1988","journal-title":"Genome"},{"key":"2022010507231186100_R48","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-84083-8","volume-title":"Cytogenetics in Plant Breeding","author":"Sybenga","year":"1992"},{"key":"2022010507231186100_R49","doi-asserted-by":"crossref","first-page":"1045","DOI":"10.1139\/g94-149","article-title":"Preferential pairing estimates from multivalent frequencies in tetraploids","volume":"37","author":"Sybenga","year":"1994","journal-title":"Genome"},{"key":"2022010507231186100_R50","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1038\/hdy.1995.145","article-title":"Meiotic pairing in autohexaploid Lathyrus: a mathematical model","volume":"75","author":"Sybenga","year":"1995","journal-title":"Heredity"},{"key":"2022010507231186100_R51","doi-asserted-by":"crossref","first-page":"1176","DOI":"10.1139\/g96-148","article-title":"Chromosome pairing affinity and quadrivalent formation in polyploids: Do segmental allopolyploids exist?","volume":"39","author":"Sybenga","year":"1996","journal-title":"Genome"},{"key":"2022010507231186100_R52","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1007\/s004120050371","article-title":"What makes homologous chromosomes find each other in meiosis? 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