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5.1 Gene Linkage and Recombination    137


                       dominant and one recessive allele. Mendel observed the   of F 2  would have increased at the expense of the two 3/16
                       9:3:3:1 phenotypic ratio in the F 2  of his dihybrid crosses   classes. Conversely, if the alleles of the parents are config-
                       because the four possible gamete types (A B, A b, A B, and   ured differently (A b / A b × a B / a B) and the F 1  are there-
                       a b) were produced at equal frequency by both parents.   fore A b / a B, then the two 3/16 genotypic classes would
                       Equal numbers of each of the four gamete types—     increase at the expense of the 9/16 and 1/16 classes (not
                       independent assortment—means that each one of  the    shown). Linkage thus undoes the basis of the 9:3:3:1 ratio.
                       16 boxes in the Punnett square for the F 2  is an equally likely   Unequal numbers of the four gamete types are produced, so
                       fertilization with a frequency of 1/16 (recall Fig. 2.15).   each box of the Punnett square in Fig. 5.4 no longer repre-
                          Had Mendel’s two genes been linked, the phenotypic   sents an equally likely fertilization.
                       ratio in the F 2  would no longer have been 9:3:3:1 because
                       the parental gametes would have been present at greater
                       frequency than the recombinant gametes. Figure 5.4 shows   Testcrosses Simplify the Detection
                       the consequences of linkage if the F 1  dihybrid individuals   of Linkage
                       were both of genotype A B / a b : The 9/16 and 1/16 classes
                                                                           Early twentieth-century geneticists found it difficult to
                                                                           interpret crosses involving autosomal genes such as that
                       Figure 5.4  The 9:3:3:1 ratio is altered when genes A   shown in Fig. 5.4 because it was hard to trace which al-
                       and B are linked. For linked genes, the F 2  genotypic classes   leles came from which parent. For example, all the F 2  in
                       produced most often by parental gametes increase in frequency at   Fig. 5.4 with genotype A– B– would have the same pheno-
                       the expense of the other classes. In the A B/a b dihybrid cross   type, but they could have arisen from fertilizations involv-
                       shown here, the A– B– and aa bb classes in the F 2  will occur at   ing two parental gametes (dark blue squares), two
                       higher frequencies, and the two other classes (A– bb and aa B–) at
                       lower frequencies than predicted by the 9:3:3:1 ratios. Note that the   recombinant gametes (light blue squares), or one of each
                       blue colors and the relative sizes of the boxes in the Punnett   kind (medium blue squares). However, by setting up test-
                       square denote the frequencies at which particular genotypic classes   crosses in which one parent was homozygous for the
                       will appear in the F 2  generation.                 recessive alleles of both genes, as detailed in the next
                                                                           section, geneticists can easily analyze the gene combina-
                       P     A B / A B          a b / a b
                                                                           tions received in the   gametes from the other, doubly
                                                                           heterozygous parent.
                              A B                 a b                          Fruit flies, for example, carry an autosomal gene for
                                                                           body color (in addition to the X-linked y gene); the wild
                                                                           type is once again brown, but a recessive mutation in this
                            A B / a b           A B / a b
                       F 1                                                 gene gives rise to black (b). A second gene on the same au-
                                                      Sperm
                                                                           tosome helps determine the shape of a fruit fly’s wing, with
                                                                           the wild type having straight edges and a recessive mutation
                                                Parentals  Recombinants
                                                                           (c) producing curves. Figure 5.5 depicts a cross between
                                               >1/4  >1/4  <1/4  <1/4
                                                 A B    a b   A b   a B
                       F 2
                                                                           Figure 5.5  Autosomal genes can also exhibit linkage. A
                                                                           testcross shows that the recombination frequency for the body color
                                      >1/4  A B  AA BB  Aa Bb  AA Bb Aa BB  (b) and wing shape (c) pair of Drosophila genes is 23%. Because
                                    Parentals  >1/4  a b                   parentals outnumber recombinants, the b and c genes are
                                                                           genetically linked and must be on the same autosome.
                                                Aa Bb
                                                             Aa bb aa Bb
                                                       aa bb
                                                                                                          +
                                                                            P            b c + /b c +  b +   c /b c
                               Eggs   <1/4  A b  AA Bb  Aa bb  AA bb Aa Bb
                                    Recombinants  <1/4  a B  Aa BB  aa Bb  Aa Bb aa BB  F 1  (all identical)  b c + /b c
                                                                                                    +
                                                                                              +
                                                                                            +
                                                P × P    P × R  R × R       Testcross    b c /b c     b c /b c
                                                                            Testcross
                                  Frequency:    Highest        Lowest       progeny  2934  b  c /b c  Parental  2934 +  2768
                                                                                           +
                                                                                         +
                                                                                    2768  b c /b c  classes  =  7419  100 = 77%
                                          > 9/16  A– B–
                                                                                     871  b c /b c  Recombinant  871 +  846
                                          < 3/16  A– bb                                                   =          100 = 23%
                                                                                     846  b +   +  classes    7419
                                                                                          c /b c
                                          < 3/16  aa B–
                                          > 1/16  aa bb                         Total  7419
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