The simulation of meiosis in diploid and tetraploid organisms using various genetic models

Voorrips, Roeland E; Maliepaard, Chris A

doi:10.1186/1471-2105-13-248

BMC Bioinformatics

Table 2 Expected and simulated tetrasomic recombination frequencies with chiasma interference according to the Kosambi map function

From: The simulation of meiosis in diploid and tetraploid organisms using various genetic models

a. Two bivalents; expected recombination frequencies according to Kosambi map function
Chrom. length		50 cM			100 cM			200 cM			400 cM
Interval (cM)	Expected recomb.	Top	Center	Bottom	Top	Center	Bottom	Top	Center	Bottom	Top	Center	Bottom
1	0.0100	0.0100	0.0100	0.0100	0.0099	0.0100	0.0099	0.0101	0.0100	0.0100	0.0100	0.0101	0.0100
2	0.0200	0.0199	0.0199	0.0198	0.0200	0.0198*	0.0199	0.0201	0.0200	0.0200	0.0200	0.0201	0.0200
5	0.0498	0.0497	0.0501	0.0496	0.0500	0.0496	0.0497	0.0498	0.0499	0.0500	0.0498	0.0499	0.0500
10	0.0987	0.0988	0.0988	0.0986	0.0993*	0.0989	0.0989	0.0990	0.0991	0.0990	0.0990	0.0988	0.0991
20	0.1900	0.1905*	0.1907**	0.1906*	0.1910**	0.1904	0.1904	0.1907**	0.1907*	0.1906*	0.1908**	0.1906*	0.1909**
50	0.3808		0.3801*		0.3809	0.3807	0.3808	0.3808	0.3806	0.3805	0.3811	0.3803	0.3809
100	0.4820					0.4829*		0.4833**	0.4833***	0.4826	0.4824	0.4825	0.4831**
200	0.4997								0.5000		0.5002	0.5000	0.4995
400	0.5000											0.4997
b. Cross-type quadrivalents; expected recombination frequencies derived from Sved (1964) formula 3 applied to diploid recombination according to Kosambi
Chrom. length		50 cM			100 cM			200 cM			400 cM
Interval (cM)	Expected recomb. ^1,2	Top	Center	Bottom	Top	Center	Bottom	Top	Center	Bottom	Top	Center	Bottom
1	0.0100	0.0094***	0.0091***	0.0092***	0.0096***	0.0093***	0.0096***	0.0100	0.0094***	0.0099	0.0100	0.0095***	0.0099
2	0.0201	0.0186***	0.0182***	0.0184***	0.0191***	0.0185***	0.0193***	0.0199	0.0188***	0.0200	0.0200	0.0192***	0.0199
5	0.0503	0.0460***	0.0453***	0.0460***	0.0480***	0.0461***	0.0479***	0.0494***	0.0470***	0.0496***	0.0497**	0.0478***	0.0496***
10	0.1005	0.0913***	0.0902***	0.0912***	0.0951***	0.0916***	0.0950***	0.0982***	0.0935***	0.0984***	0.0987***	0.0949***	0.0987***
20	0.1975	0.1764***	0.1751***	0.1761***	0.1833***	0.1776***	0.1829***	0.1892***	0.1815***	0.1894***	0.1909***	0.1837***	0.1905***
50	0.4248		0.3736***		0.3794***	0.3782***	0.3790***	0.3825***	0.3800***	0.3824***	0.3806***	0.3798***	0.3813***
100	0.5960					0.5668***		0.5303***	0.5504***	0.5308***	0.4881***	0.5326***	0.4888***
200	0.6815								0.7062***		0.5798***	0.6647***	0.5798***
400	0.7173											0.7480***
c. Parallel quadrivalents; expected recombination frequencies derived from Sved (1964) formula 2 applied to diploid recombination according to Kosambi
Chrom. length		50 cM			100 cM			200 cM			400 cM
Interval (cM)	Expected recomb. ²	Top	Center	Bottom	Top	Center	Bottom	Top	Center	Bottom	Top	Center	Bottom
1	0.0100	0.0099	0.0101	0.0100	0.0099	0.0100	0.0100	0.0101	0.0101	0.0099	0.0102	0.0101	0.0100
2	0.0201	0.0200	0.0199*	0.0200	0.0200	0.0200	0.0201	0.0201	0.0201	0.0200	0.0201	0.0200	0.0200
5	0.0507	0.0497***	0.0500***	0.0497***	0.0501***	0.0498***	0.0499***	0.0499***	0.0501***	0.0496***	0.0498***	0.0501***	0.0501***
10	0.1023	0.0983***	0.0986***	0.0982***	0.0988***	0.0983***	0.0986***	0.0984***	0.0988***	0.0984***	0.0981***	0.0984***	0.0987***
50	0.4616		0.3918***		0.3923***	0.3921***	0.3920***	0.3918***	0.3921***	0.3914***	0.3916***	0.3915***	0.3925***
100	0.6683					0.5814***		0.5804***	0.5807***	0.5806***	0.5808***	0.5811***	0.5814***
200	0.7443								0.7128***		0.7127***	0.7124***	0.7120***
400	0.7500											0.7479***

*, **, ***: Deviation from expected recombination frequency significant at P < 0.05, P < 0.01 or P < 0.001.
¹: For cross-type quadrivalents the formula of Sved (1964) assumes a uniform distribution of the chromosome exchange point, whereas our simulations produce a unimodal distribution.
²: The formulas of Sved (1964) assume no chiasma interference. They express the tetrasomic recombination frequencies as a function of the corresponding disomic recombination on the same interval. Here we use the disomic recombination according to Kosambi map function as input in these formula's.

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ISSN: 1471-2105

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