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Review Question If two genes are 13 map units apart on a linkage map, what proportion of recombinant offspring will be seen in a testcross? What proportion of meioses experienced crossing over between to the two genes? w+ m+ — ————————— F1: • — ————————— • w m w+ m+ —•————————— w m —•————————— w+ m —•————————— w m+ —•————————— w X Par Par Rec Rec Two X-linked genes Female w Male m — ————————— P: • — ————————— • w Gametes: m w+ • — ————/ • Egg (A B) w Sperm (a b) m —•———————— m+ — ————————— w+ m+ —•———————— —•———/ m — ————————— • — ————/ • w ___% non-recombinant offspring, ____% recombinant offspring m —•————————— — ————/ • Offspring (male or female) 314 Wild type 314 white, miniature 186 miniature 186 white Genes are how far apart? ___ map units 1 If two genes are 50 map units apart, what proportion of recombinant offspring would you observe? What would you conclude about these two genes? Multiple crossovers are useful for mapping many genes at a time Three-point mapping A B C —•————————— A B C a b c —•————————— a b c A B C —•————————— A b C a B c —•————————— a b c 2 3 recessive phenotypes in maize (corn), coded by three linked genes l l lazy or prostrate growth g g glossy leaves s s sugary endosperm How many different kinds of gametes can you get from triple heterozygote? Ll Gg Ss L or l G or g S or s 2 * 2 * 2 To map the genes, mate a triple heterozygote to triple recessive homozygote Ll Gg Ss x ll gg ss Gene order is not known, so the order shown here is arbitrary. Linkage phase is not known Wildtpe for all Recomb. L G S // l g s x lazy, gloss, sugary l g s // l g s Progeny Genotypes of offspring Phenotype L G S // l g s wildtype l G S // l g s lazy L g S // l g s glossy L G s // l g s sugary lazy,glossy l g S // l g s lazy,sugary l G s // l g s glossy,sugary L g s // l g s lazy,glossy,sug a r y l g s // l g s Total Number 286 33 59 4 2 44 40 272 740 3 Rule 1 Where to begin? Two most-frequent gametes types are the __________ types Parental types will constitute ≥ 50% of all progeny, so… Tells us the ___________________ of heterozygous parent: LGS l g s L G S // l g s x Progeny Phenotype wildtype lazy glossy sugary lazy,glossy lazy,sugary glossy,sugary lazy,glossy,sugary Total l g s // l g s Progeny Genotypes L G S // l g s l G S // l g s L g S // l g s L G s // l g s l g S // l g s l G s // l g s L g s // l g s l g s // l g s Number 286 33 59 4 2 44 40 272 740 or LgS l Gs or l g S or LG s L g s l G S Linkage phase in heterozygous parent? LGS l g s or LgS l Gs or l g S LG s or L g s l G S 4 L G S/ l g s Rule 2 Progeny Phenotype wildtype lazy glossy sugary lazy,glossy lazy,sugary glossy,sugary lazy,glossy,sugary Total The double-recombinant gametes will be the two least frequent types A a B C b c x l g s/ l g s Progeny Genotypes L G S/l g s l G S/l g s L g S/l g s L G s/l g s l g S/l g s l G s/l g s L g s/l g s l g s/l g s Number 286 33 59 4 2 44 40 272 740 Parental types: Rule 3 LGS Effect of double crossovers is to interchange the members of the middle pair of alleles between the chromosomes and l g s Double-crossover types: LGs and l g S Which gene is in the middle? A a B b C c A a b B C L S G L s G l s g l S g c 5 Now you know linkage phase of heterozygous parent and gene order LSG l s g How far apart are the genes? Progeny Genotype wildtype LGS / lgs lazy l GS / lgs glossy LgS / lgs sugary LGs / lgs lazy,glossy lgS / lgs lazy,sugary lGs / lgs glossy,sugary Lgs / lgs lazy,glossy,sugary l g s / l g s Total LSG l s g In parents, L allele on same homolog as S and l on same homolog as s. So if these get broken up ---> recombination between L and S loci In parents, S on same homolog as G and s on same homolog as g. If these get broken up --> recombination between S and G loci Rule 4: Reciprocal LSG l s g Progeny Phenotype Count the crossovers between adjacent genes # 286 33 59 4 2 44 40 272 740 Crossover or NonCrossover? Parental (NCO) single CO between L and S single CO between S and G double CO double CO single CO between S and G single CO between L and S Parental (NCO) products expected to occur in approximately equal numbers Progeny Phenotype wildtype lazy glossy sugary lazy,glossy lazy,sugary glossy,sugary lazy,glossy,sugary Total LGS ≈ lgs LgS ≈ lGs Lgs ≈ lGS LGs ≈ lgS Progeny Genotype LGS / lgs l GS / lgs LgS / lgs LGs / lgs lgS / lgs lGs / lgs Lgs / lgs lgs / lgs (286 ≈ 272) (59 ≈ 44) (40 ≈ 33) (4 ≈ 2) # 286 33 59 4 2 44 40 272 740 6 Progeny Phenotype Rule 5 Don't forget to include the double recombinants when calculating recombination frequency! Progeny Genotype wildtype LGS / lgs lazy l GS / lgs glossy LgS / lgs sugary LGs / lgs lazy,glossy lgS / lgs lazy,sugary lGs / lgs glossy,sugary Lgs / lgs lazy,glossy,sugary l g s / l g s Total Rec Freq L-S l G S L g s L G s l gS Rec Freq L-S l G S L g s L G s l gS 33 40 4 2 79 Rec Freq S-G LgS 59 l G s 44 L G s 4 l gS 2 109 79/740 or 10.7% of gametes recombinant between L & S. So, map distance between L & S = ___ map units 109/740 or 14.8 % of gametes recombinant between S & G. So, map distance between S & G=____ map units 33 40 4 2 79 Crossover or NonCrossover? # 286 33 59 4 2 44 40 272 740 Parental (NCO) single CO between L and S single CO between S and G double CO double CO single CO between S and G single CO between L and S Parental (NCO) Rec Freq S-G LgS 59 l G s 44 L G s 4 l gS 2 109 Genetic Map 10.7 mu 14.8 mu _____________________________ L S G 7 Maize example Interference Probability of recombination between L and S is 10.7% Probability of recombination between S and G is 14.8% Assuming independence, expected probability of double crossovers is the probability of recombination in one region times the probability of recombination in other (__________). If crossovers independent, probability of double crossover should then be 0.107 * 0.148 = 0.0158 In 740 events, the double crossover class should occur Expected DCO = 12 Observed DCO = 6 L G s l gS Typical Result: O < E 4 2 6 Why? Physical constraints that prevent two chiasmata in close proximity during meiosis Conclusion: Crossing over in one region reduces probability of crossing over in adjacent regions This is Interference 8 Quantifying Interference Recombination is not independent at small distances Coefficient of coincidence = Obs DCO Exp DCO cc = _____ If distance between genes is small (<10 map units in Drosophila) no double crossovers occur (interference is complete, I=1) Interference = (1 - cc) = At large distances (> 45 map units, Interference disappears, Obs = Exp and I=0 In Drosophila, the allele b gives black body (wild type is tan); at a separate gene, the allele wx gives waxy wings (nonwaxy is wild type); and at a third gene, the allele cn gives cinnabar eyes (red is wild type). A female that is heterozygous for these three genes is testcrossed, and 980 progeny are classified as follows for body color, wing phenotype, and eye color: Phenotype brown, nonwaxy, red black, waxy, cinnabar brown, waxy, cinnabar black, nonwaxy, red brown, nonwaxy, cinnabar black, waxy, red brown, waxy, red black, nonwaxy, cinnabar Genotype of Gamete from Heterozygous Parent + + + b wx cn + wx cn b + + + + cn b wx + + wx + b + cn CO/NCO # DCO 6 DCO 6 SCO cn &wx 79 SCO cn &wx 77 Parental 369 Parental 369 SCO b & cn 38 SCO b & cn 36 Phenotype brown, nonwaxy, red black, waxy, cinnabar brown, waxy, cinnabar black, nonwaxy, red brown, nonwaxy, cinnabar black, waxy, red brown, waxy, red black, nonwaxy, cinnabar Haploid Genotype +++ b wx cn + wx cn b++ + + cn b wx + + wx + b + cn Number 6 6 79 77 369 369 38 36 a) What is the linkage phase of the heterozygous female parent? b) What is the order of the three genes? c) Construct a linkage map with the genes in their correct order and indicate the map distances between the genes. d) Calculate the Interference. 9 Threelocus mapping 10