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144    Chapter 5    Linkage, Recombination, and the Mapping of Genes on Chromosomes


                chromosome.  We  now examine how  data  from  many   Figure 5.12  Mapping genes by comparisons of two-
              crosses following two and three genes at a time can be   point crosses. (a) Sturtevant’s data for the distances between
              compiled and compared to generate accurate, comprehen-  pairs of X-linked genes in Drosophila. (b) Because the distance
              sive gene/chromosome maps.                           between y and m is greater than the distance between w and m,
                                                                   the order of genes must be y-w-m. (c) and (d) Maps for five genes
                                                                   on the Drosophila X chromosome. The left-to-right orientation is
                                                                   arbitrary. Note that the numerical position of the r gene depends on
              Comparisons of Two-Point Crosses                     how it is calculated. The best genetic maps are obtained by
              Establish Relative Gene Positions                    summing many small intervening distances as in (d).

              In his senior undergraduate thesis, Morgan’s student    (a)  Gene  RF  (b) y  w        m
              A. H. Sturtevant asked whether data obtained from a large   pair
              number of two-point crosses (crosses tracing two genes at a   y-w  1.1     1.1  33.8
              time) would support the idea that genes form a definite   y-v  33.0    (c) y  w  34.3  v  m  r
                                                                        y-m
                                                                             34.3
              linear series along a chromosome. Sturtevant began by     y-r  42.9
                                                                              32.1
              looking at X-linked genes in Drosophila. Figure 5.12a lists   w -v  33.8   1.1
                                                                        w-m
              his recombination data for several two-point crosses. Re-  w-r  42.1          33.0
              call that the distance between two genes that yields 1% re-  v-m  4.0           34.3
              combinant progeny—an RF of 1%—is 1 m.u.                   v-r   24.1                42.9
                                                                        m-r
                                                                              17.8
                  As an example of Sturtevant’s reasoning, consider the              (d) y  w    v    m       r
              three genes w, y, and m. If these genes are arranged in a line             1.1 +  32.1 +  4.0 +  17.8  =  55
              (instead of a more complicated branched structure, for ex-
              ample), then one of them must be in the middle, flanked on
              either side by the other two. The greatest genetic distance   to a statistical test, such as the chi-square test that will be
              should separate the two genes on the outside, and this value   explained in the next section.
              should roughly equal the sum of the distances separating   A second problem with Sturtevant’s mapping proce-
              the middle gene from each outside gene. The data Sturte-  dure is that the actual distances in his map do not always
              vant obtained are consistent with this idea, implying that w   add up, even approximately. As an example, suppose that
              lies between y and m (Fig. 5.12b). Note that the left-to-right   the locus of the y gene at the far left of the map is regarded
              orientation of this map was selected at random; the map in   as position 0 (Fig. 5.12c). The w gene would then lie near
              Fig. 5.12b would be equally correct if it portrayed y on the   position 1, and  m would be located in the vicinity of
              right and m on the left.                             34 m.u. But what about the r gene, named for a mutation
                  By following exactly the same procedure for each set   that produces rudimentary (very small) wings? Based solely
              of three genes considered in pairs, Sturtevant established a   on its distance from y, as inferred from the y ↔ r data in
              self-consistent order for all the genes he investigated on   Fig. 5.12a, we would place it at position 42.9 (Fig. 5.12c).
              Drosophila’s X chromosome (Fig. 5.12c; once again, the   However, if we calculate its position as the sum of all inter-
              left-to-right arrangement is an arbitrary choice). By check-  vening distances inferred from the data in Fig. 5.12a, that
              ing the data for every combination of three genes, you can   is, as the sum of y ↔ w plus w ↔ v plus v ↔ m plus m ↔ r,
              assure yourself that this ordering makes sense. The fact that   the locus of r becomes 1.1 + 32.1 + 4.0 + 17.8 = 55.0
              the recombination data yield a simple linear map of gene   (Fig. 5.12d). What can explain this difference, and which
              position supports the idea that genes reside in a unique   of these two values is closer to the truth? Three-point
              linear order along a chromosome.                     crosses help provide some of the answers.

              Limitations of two-point crosses
              Though of great importance, the pairwise mapping of   Three-Point Crosses Provide Faster
              genes has several shortcomings that limit its usefulness.   and More Accurate Mapping
              First, in crosses involving only two genes at a time, it may
              be difficult to determine gene order if some gene pairs lie   The simultaneous analysis of three markers makes it pos-
              very close together. For example, in mapping y, w, and m,   sible to obtain enough information to position the three
              34.3 m.u. separate the outside genes y and m, while nearly   genes in relation to each other from just one set of crosses.
              as great a distance (33.8 m.u.) separates the middle w from   To describe this procedure, we look at three genes linked
              the outside m (Fig. 5.12b). Before being able to conclude   on one of Drosophila’s autosomes.
              with any confidence that y and m are truly farther apart,   A homozygous female with mutations for vestigial
              that is, that the small difference between the values of 34.3   wings (vg), black body (b), and purple eye color (pr) was
              and 33.8 is not the result of sampling error, you would have   mated to a wild-type male (Fig. 5.13a). All the triply het-
              to examine a very large number of flies and subject the data   erozygous F 1  progeny, both male and female, had normal
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