WeRead Powered by ReaderPub
Piebald rats and selection cover

Piebald rats and selection

Chapter 46: Table 28.—Classification of generation 13, minus series.
Open in WeRead

Explore more books like this:

About This Book

Investigators present a controlled breeding study that tests whether Mendelian determiners remain unchanged during crosses by selecting for increased or decreased pigmentation in piebald coat patterns of laboratory rats. They describe methods for grading dorsal pigmentation, establish parallel plus and minus selection lines, perform return and hybrid crosses with different stocks, and tabulate multigenerational outcomes. Statistical summaries and plates illustrate shifts in pigment distribution and the response to selection. The results are analyzed with respect to the theory of pure gametes and genotype–phenotype distinctions, showing that extracted recessive patterns and selection responses complicate simple notions of gametic purity.

Table 23.Classification of generation 8, minus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
0 ½ ¾ 1 2
1⅞ 1 9 8 1 19 1.84 .03
2 6 8 38 22 122 550 423 21 9 3 1202 1.81 .19
2⅛ 1 3 12 7 31 118 187 32 2 3 396 1.86 .26
1 2 19 20 3 45 1.87 .38
2⅜ 1 1 11 17 30 1.87 .50
3 6 15 4 28 1.93 .57
2⅝ 3 2 1 6 1.67 .95
Totals or means, 2.05 1 6 11 52 30 162 715 671 61 11 6 1726 1.80 .25

Table 24.Classification of generation 9, minus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
½ ¾ 1 2
2 1 13 4 36 268 420 55 10 4 811 1.90 .10
2⅛ 1 1 25 110 218 40 7 1 403 1.93 .19
1 1 7 43 77 12 6 1 148 1.93 .32
2⅜ 1 1 7 61 89 12 4 175 1.91 .46
1 2 6 23 14 5 2 53 2.07 .43
2⅝ 1 1 2.00 .62
Totals or means, 2.11 1 1 16 7 77 488 828 133 32 8 1591 1.92 .19

Table 25.Classification of generation 10, minus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
-1 2 3
2 1 2 13 120 287 43 7 2 2 1 478 1.96 .04
2⅛ 2 1 15 100 251 78 22 4 1 474 2.00 .12
5 45 92 58 13 4 217 2.05 .20
2⅜ 1 4 16 60 29 6 3 119 2.05 .32
9 27 19 10 2 67 2.13 .37
2⅝ 1 5 17 17 8 1 49 2.15 .47
1 1 8 10 6 1 27 1.95 .80
2⅞ 1 1 2 3 6 5 2 20 2.19 .68
Totals or means, 2.18 3 6 40 305 747 256 72 17 3 2 1451 2.01 .17

Table 26.Classification of generation 11, minus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
-1 2 3
2 7 26 14 3 1 51 2.08 .08
2⅛ 4 20 75 45 26 12 1 183 2.15 -.03
1 12 49 111 76 50 13 6 318 2.13 .12
2⅜ 2 1 4 24 112 66 33 20 4 2 268 2.16 .21
1 4 32 21 16 7 81 2.21 .29
2⅝ 1 3 18 15 11 4 52 2.20 .42
1 4 9 4 3 1 1 2 1 26 2.26 .49
2⅞ 2 2 1 5 1.95 .92
Totals or means, 2.30 3 2 22 113 385 242 142 57 12 5 1 984 2.15 .15

Table 27.Classification of generation 12, minus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
1 2 3
2 2 7 1 10 1.98 .02
2⅛ 1 6 65 26 15 4 1 118 2.14 -.02
1 2 16 67 45 29 6 155 2.15 .10
2⅜ 1 21 116 64 24 3 1 230 2.11 .26
1 12 81 75 53 17 3 242 2.24 .26
2⅝ 5 38 36 37 12 8 1 137 2.32 .30
8 7 14 10 3 42 2.45 .30
2⅞ 1 7 9 14 15 7 53 2.51 .36
3 5 5 5 10 5 2 1 35 2.65 .35
Totals or means, 2.44 1 5 63 394 268 191 83 27 3 2 1037 2.23 .21

Table 28.Classification of generation 13, minus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
2 3
3 30 12 17 4 1 67 2.22 .03
2⅜ 4 40 50 46 24 5 1 170 2.35 .02
4 32 34 47 26 8 2 1 154 2.40 .10
2⅝ 2 11 21 41 28 3 2 108 2.47 .15
1 5 2 9 7 6 1 31 2.56 .19
2⅞ 4 7 8 6 1 26 2.43 .44
3 3 1 5 5 1 15 2.50 .50
Totals or means, 2.50 14 125 127 173 100 25 6 1 571 2.39 .11

Table 29.Summary of the results of thirteen generations of minus selection, based on Tables 16-28.

Generation. No. of offspring. Mean, parents. Mean, offspring. Standard deviation, parents. Standard deviation, offspring. Correlation, parents-offspring. Absolute regression of offspring on parents. Advance of parents. Advance of offspring.
1 5 1.46 1.00 .208 .515 .46
2 13 1.41 1.07 .342 .493 -.033 .34 -.05 .07
3 19 1.56 1.18 .196 .484 .206 .38 .15 .11
4 32 1.69 1.28 .190 .460 .020 .41 .13 .10
5 70 1.73 1.41 .233 .500 .184 .32 .04 .13
6 1,25 1.86 1.56 .185 .488 .164 .30 .13 .15
7 1,68 2.01 1.73 .132 .352 .143 .28 .15 .17
8 1,72 2.05 1.80 .107 .283 .094 .25 .04 .07
9 1,59 2.11 1.92 .184 .285 .059 .19 .06 .12
10 1,45 2.18 2.01 .255 .242 .158 .17 .07 .09
11 98 2.30 2.15 .229 .349 .081 .15 .12 .14
12 1,03 2.44 2.23 .310 .372 .406 .07 .14 .08
13 57 2.50 2.39 .177 .317 .235 .11 .06 .16
Total 11,704

Table 30.Mean grade and number of offspring produced by parents of a particular grade in each generation of the minus selection series, based on Tables 16-28. The grade of the parents is indicated at the head of each column. In the body of the table is recorded the mean grade of the offspring (in light-faced figures) and the number of offspring (in heavy-faced figures).

Generation. Grade of parents; below, grade and number of their offspring. Total number of offspring.
1⅜ 1⅝ 1⅞ 2 2⅛ 2⅜ 2⅝ 2⅞ 3
1 1.34 .85 1.37 1.05
8 31 6 10 55
2 1.17 1.45 1.11 0.67 1.09 1.10
17 5 37 3 27 12 132
3 1.05 1.04 1.31 1.22 1.26 1.96
20 28 28 48 63 3 195
4 1.56 1.16 1.31 1.36 1.34 1.18 1.36
4 29 59 40 93 95 9 329
5 1.50 1.25 1.35 1.30 1.64 1.52 1.80
51 53 54 262 143 109 5 701
6 1.34 1.46 1.49 1.59 1.58 1.52 1.82
24 94 244 502 283 85 11 1,252
7 1.55 1.67 1.65 1.72 1.74 1.93 1.62 1.88 2.28 1.87
5 32 330 969 260 41 4 15 18 6 1,680
8 1.84 1.81 1.86 1.87 1.87 1.92 1.67
19 1170 377 36 30 17 6 1,726
9 1.90 1.93 1.93 1.91 2.07
811 403 148 175 53 1,591
10 1.96 2.00 2.04 2.05 2.13 2.15 1.95 2.18
478 474 217 119 67 49 27 20 1,451
11 2.08 2.15 2.13 2.16 2.21 2.20 2.26 1.95
51 183 318 268 81 52 26 5 984
12 1.98 2.14 2.15 2.11 2.24 2.32 2.45 2.51 2.65
10 118 166 230 242 137 42 53 35 1,037
13 2.22 2.35 2.40 2.47 2.55 2.43 2.50
67 170 154 108 31 26 15 571
11,704

Table 31.Results of a first return selection from generation 6, minus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
0 ¼ ½ ¾ -1 -1¼ -1½ -1¾ -2
2 1 3 4 8 8 26 1.08 -.60
2 2 3 4 10 14 17 20 4 76 1.33 -.71
¾ 1 1 2 1 5 1.30 -.65
2 2 1 4 2 11 1.41 -.63
Totals or means, .60 2 4 6 5 16 18 28 33 6 118 1.28 -.68

Table 32.Results of a second return selection from generation 6, minus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
0 ½ ¾ -1 -1¼ -1½
½ 1 3 4 5 2 4 19 .95 -.45

Table 33.Results of a third return selection from generation 6, minus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
0 ¼ ½ ¾ -1 -1¼ -1½ -1¾ -2
¼ 5 2 2 3 1 13 .63 -.38
2 2 3 5 4 2 3 21 .86 -.49
-1⅛ 1 2 3 4 3 13 1.61 -.49
-1¼ 1 2 4 9 8 5 2 31 1.35 -.10
Totals or means, .83 2 7 6 9 12 11 14 12 5 78 1.14 -.31

Table 34.Results of a fourth return selection from generation 6, minus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
0 ¼ ½ ¾ -1 -1¼ -1½ -1¾ -2
¼ 1 2 1 1 4 2 3 2 16 1.34 -1.09
½ 1 1 1 2 5 .70 -.20
1 1 1 3 .83 -.21
¾ 1 1 1 2 1 6 .83 -.08
1 2 2 2 2 1 10 1.17 -.30
-1 2 1 3 3 1 10 1.42 -.42
Totals or means, .63 3 2 6 4 7 10 8 6 4 50 1.17 -.54

Table 35.Results of a fifth return selection from generation 6, minus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
0 ¼ ½ ¾ -1¼ -1½
¼ 2 2 4 1.00 -.75
¾ 1 3 4 1.12 -.37
2 2 1 5 .25 +.62
Totals or means, .65 3 2 1 2 2 3 13 .75 -.10

Table 36.Results of a sixth return selection from generation 6, minus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
+1¼ +1 0 ¼ ½ ¾ -1 -1¼ -1½ -1¾
1 1 3 2 1 2 2 12 .29 -.17
¼ 2 1 1 4 1 4 13 .35 -.10
1 2 1 1 1 6 .87 -.50
½ 1 1 2 1 5 .25 +.25
Totals or means, .26 1 1 1 2 1 4 7 2 5 8 2 1 1 36 .39 -.13

Table 37.Results of a return selection from generation 7, minus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
½ ¾ -1 -1¼ -1½ -1¾ -2
¾ 1 3 3 7 8 3 25
2 2 2 2 8
Totals or means, .78 2 3 5 3 7 10 3 33 1.15 -.37

Table 38.Results of a return selection from generation 8, minus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
¾ -1 -1¼ -1½ -1¾ -2
½ 1 3 6 3 13 1.69 -1.19
1 9 3 13 1.21 - .59
2 2 2.00 - .13
-1 1 2 4 4 2 13 1.56 - .56
Totals or means, .72 1 2 2 7 19 10 41 1.51 - .79

Table 39.Results of a return selection from generation 11, minus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
¼ -1¾ -2 -2¼ -2½
-1⅝ 1 3 7 3 2 16 1.95 -.33

Table 40.Results of a return selection from generation 6, plus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
+2 3
2 1 1 3 3 2 2 3 1 1 17 2.36 -.36

Table 41.Results of a return selection from generation 11, plus series.

Grade of parents. Grade of offspring. Totals. Means. Regression.
3 4
2⅝ 2 3 2 5 5 1 1 22
2 4 1 8 2 17
3 4 4 1 9
1 3 1 5
Totals or means, 2.79 2 3 4 10 6 12 10 5 1 53 3.32 -.53

Table 42.Classification of the extracted hooded individuals obtained in the second generation from a cross between hooded and wild rats.

Grade of hooded grandparents. Grade of extracted hooded grandchildren. Total. Mean. Mean, uncrossed race. Standard deviation. Standard deviation, uncrossed race.
-2 -1¾ -1½ -1¼ -1 0 ½ ¾ 1 2 3
♀ -1⅞, gen. 2½, minus series 2 4 6 5 6 13 2 1 3 4 5 3 4 2 1 1 62 + .31 -1.20 .98 .49
♀♀ -2, gen. 6, minus series 1 1 1 1 2 6 6 7 2 3 6 4 2 4 1 1 48 + .25 -1.59 .97 .44
♀♀ -2 and -2¼, gen. 10, minus series 1 3 3 1 10 3 9 8 14 4 7 8 1 4 3 5 2 4 1 91 + .24 -2.05 1.18 .24
♀♀ +3, gen. 3, plus series 1 5 3 2 3 4 2 1 21 +2.56 +2.60 .50 .53
♀♀ +3¼, gen. 5 and +3½, gen. 6, plus series 1 2 1 1 1 6 9 8 8 1 38 +2.97 +3.14 .52 .49
♀ +4¼, gen. 10, plus series 1 3 4 2 3 3 16 +3.15 +3.84 .28 .36

Table 43.Classification of the extracted hooded individuals obtained in the second generation from a cross between hooded and Irish rats.

Grade of hooded grandparents. Grade of extracted hooded grandchildren. Total. Mean. Mean, same grade and generation, uncrossed race. Standard deviation. Standard deviation, uncrossed race.
-2 -1¾ -1½ -1¼ -1 0 +1 2 3
-1½, gen. 3½ 1 5 3 6 12 26 9 9 10 1 3 2 2 1 90 - .62 -1.31 .61 .48
-1⅞, gen. 4 6 3 4 5 9 14 8 1 1 1 1 53 - .73 -1.18 .60 .46
+2, gen. 7½ 6 6 12 11 8 3 4 4 6 1 3 1 1 66 - .94 -1.75 .84 .35
+2¼, gen. 2 3 4 5 4 16 7 16 22 25 29 24 13 33 14 8 8 6 3 239 +1.27 +1.80 .90 .75
+3, gen. 3 2 1 1 3 3 4 2 2 1 2 1 1 23 + .95 +2.50 .87 .53

Table 44.F₃ generation produced by extracted hooded rats (F₂ generation) derived from a cross of a hooded rat of the minus series with a wild rat. (See Table 42.)

Grade of (F₂) parents. Grade of (F₃) offspring. Totals. Means. Regression.
-1 0 ¾ 1 2 3
¾ 2 1 4 3 4 1 2 1 1 19 + .04 .71
1 1 1 3 2 2 1 5 3 6 4 3 1 1 34 +2.06 .44

Table 45.F₄ generation from minus series crossed with wild.

Grade of (F₃) parents. Grade of (F₄) offspring. Totals. Means. Regression.
0 ¾ 1 2 3
2 1 1 3 6 6 9 16 25 14 10 2 1 96 1.78 .47
2⅜ 2 1 1 1 6 3 8 3 9 4 4 1 1 44 1.67 .70
2⅞ 1 2 1 1 1 1 1 8 .91 1.96
3 1 1 3 3 5 9 5 7 3 1 1 39 2.02 .98
3⅛ 1 1 3 1 2 5 4 1 18 2.82 .30
Totals or means, 2.52 3 3 1 5 5 16 10 22 26 47 20 23 14 7 1 2 205 1.86 .66

Table 46.F₅ generation from minus series crossed with wild.

Grade of (F₄) parents. Grade of (F₅) offspring. Totals. Means. Regression.
0 ¾ 1 2 3
2 1 1 3 3 2 12 15 10 2 3 1 53
2⅛ 1 1 1 4 1 4 1 13
1 3 4 1 2 2 13
2⅜ 1 2 3 2 4 2 14
2⅝ 1 1 2 1 2 7
2⅞ 2 1 1 1 5
3 1 1 1 7 4 14
Totals or means, 2.27 2 1 3 6 3 6 17 28 16 8 21 7 1 119 2.06 .21

Table 47.F₆ generation from minus series crossed with wild.

Grade of (F₅) parents. Grade of (F₆) offspring. Totals. Means. Regression.
¾ 1 2 3
2⅜ 1 1 1 4 8 13 4 4 7 3 2 48 2.14 .23
3 2 2 4 3 3 5 4 26 2.24 .26
2⅝ 1 1 1 2 1 2 3 3 4 1 1 20 2.26 .36
1 1 4 2 5 3 8 2 5 31 2.35 .40
2⅞ 1 4 1 9 7 11 5 2 40 2.74 .13
3⅛ 1 4 2 4 7 6 2 1 2 29 2.73 .39
Totals or means, 2.69 2 1 2 6 13 14 32 13 23 37 30 15 4 2 194 2.41 .28

Table 48.F₇ generation from minus series crossed with wild.

Grade of (F₆) parents. Grade of (F₇) offspring. Totals. Means. Regression.
¾ 1 2 3
2⅝ 4 4 12 2 9 9 12 1 53 2.41 .21
3 1 2 6 5 4 4 3 28 2.14 .61
2⅞ 1 1 1 2 3 1 1 10 2.32 .55
3 1 3 1 3 1 3 12 2.93 .07
3⅛ 1 3 2 3 1 4 3 5 2 2 1 27 2.59 .53
3 1 3 3 1 3 14 2.63 .62
3⅜ 1 2 2 2 2 1 10 2.85 .52
Totals or means, 2.80 3 2 8 9 26 12 28 23 26 10 6 1 154 2.46 .34

Table 49.F₈ generation from minus series crossed with wild.

Grade of (F₇) parents. Grade of (F₈) offspring. Totals. Means. Regression.
2 3
1 1 2 2.75 0
3 1 1 3 5 8 5 1 24 2.74 .01
3⅛ 1 2 3 3 5 3 1 1 19 2.60 .52
Totals or means, 3.08 2 3 6 9 13 4 6 1 1 45 2.67 .41

Table 50.Results of crossing the selected plus with the selected minus series.

Grade of parents. Grade of offspring. Totals. Means. Standard deviation.
-2 -1¾ -1½ -1¼ -1 ¾ ½ ¼ 0 +1 +1¼ +1½ +1¾ +2 +2¼ +2½ +2¾ +3½
Series 1, F₁ generation; ♀♀ -2, gen. 6; ♂ ♂ +3½ or 3¾, gen. 5 2 2 1 8 10 13 25 2 8 11 6 3 1 1 93 + .06 .71
Series 1, F₂ generation, -1 1 1 4 1 1 3 1 1 13 - .57 .66
½ 1 2 1 3 3 2 1 1 1 1 16 - .37 .80
0 1 1 4 2 4 6 1 1 1 3 1 2 1 1 29 + .17 .95
+⅛ 1 2 1 3 3 1 5 1 4 3 2 3 1 30 + .03 .97
2 1 2 7 3 1 2 4 1 2 2 6 1 3 3 1 41 + .10 1.08
1 1 1 4 2 4 1 1 1 1 1 18 + .06 .91
1 2 3 1 2 1 3 2 1 1 1 18 + .25 .90
+1 1 7 3 6 13 4 8 5 5 4 4 3 2 2 6 73 + .60 .98
+1⅛ 1 1 1 2 1 3 2 1 1 13 + .61 .83
+1¼ 1 1 1 5 7 1 8 1 5 6 4 2 4 3 1 3 53 + .38 1.02
+1½ 1 1 0
Series 1, totals or means, F₂ generation 1 4 9 7 22 24 26 20 49 10 24 24 23 10 20 13 7 5 7 305 + .24 1.01
Series 2, F₁ generation; ♀ ♀ +3¾, gen. 10; ♂ -3¼, gen. 10 1 1 1 2 4 2 1 1 1 14 +1.00 .60
Series 2, F₂ generation, +½ 1 1 1 3 +1.31
+⅝ 2 1 3 3 3 1 1 1 1 16 +.40 .96
+1 2 2 1 1 1 7 +.82
+1⅛ 1 1 2 1 3 4 2 1 4 1 1 1 22 +1.03 .97
+1¼ 2 1 1 1 4 5 3 2 4 1 1 25 + .56 .70
Series 2, totals or means, F₂ generation 2 4 3 8 8 12 9 6 5 3 5 2 2 1 2 1 73 +.72 .87

Table 51.F₁ offspring of the original “mutant” male, 4763, +5½, mated with females of the plus series, and with the “mutant” female, 5153, +5¾.

Grade of mother. Grade of offspring.
Lower group. Upper group.
+3 4 Totals. Means. Standard deviation. 5 6 Totals. Means. Standard deviation.
+3¾ 1 4 11 1 1 18 3.69 1 3 9 4 1 18 5.51
3⅞ 3 7 3 13 3.75 1 4 5 3 13 5.44
4 1 4 9 4 1 1 20 3.78 2 7 5 4 18 5.40
4⅛ 3 1 1 5 3.90 2 4 1 7 5.46
1 1 2 3.62
Totals or means 1 1 12 31 9 3 1 58 3.73 .24 4 16 23 12 1 56 5.45 .23
Mutant ♀ 5153, +5¾ 3 3 6 3.87 6 4 10 5.60