THE LIBRARY OF THE UNIVERSITY OF CALIFORNIA LOS ANGELES Of CALIFORNIA U ..ES LIBRARY AN ANALYSIS OF THE EFFECTS OF SELECTION BY A. H. STURTEVANT PUBLISHED BY THE CARNEGIE INSTITUTION OF WASHINGTON WASHINGTON, 1918 89- CARNEGIE INSTITUTION OF WASHINGTON PUBLICATION No. 264 PRESS OF GIBSON BROTHERS WASHINGTON, D. C. QH 37-/ PLATE 1 STURTEVANT 1. Dichaet male (5-bristled) 2. Extended female. 3. Wild-type female. (Drawings by Miss E. M. Wallace.) ANANALYSIS OF THE EFFECTS OF SELECTION.1 INTRODUCTORY SUMMARY. The present paper describes a series of experiments aimed at de- termining the causes of the variability in bristle number observed in Dichset, a mutant race of Drosophila melanogaster (ampelophila) . These experiments are discussed under several headings, as follows: (a) Selection of plus and of minus variants was carried out. Both plus and minus lines were obtained and were used hi the further ex- periments. (6) A plus line and a minus line were crossed, and an increase in variability was observed in F2. (c) Linkage tests were made, and by this means it was demon- strated that modifying genes were present in the selected lines. (d) Evidence against the hypothesis of contamination of allelo- morphs was obtained. (e) This evidence, and that obtained by other investigators, is then utilized in a general discussion of the selection problem, and of the hypothesis of contamination of genes. The conclusions are drawn that selection is usually effective only in isolating genetic differences already present; and that genes are relatively stable, not being con- taminated in heterozygotes, and mutating only very rarely. DICRET. The mutant character known as Dichset was discovered by Dr. G. B. Bridges, July 3, 1915. In an experiment involving the sex- linked characters sable, forked, and cleft there appeared a single female that had wings extended and bent backwards near the base, like those of the mutant bent (Muller, 19146). In addition it was observed that this female had only 2 dorso-central bristles, instead of the 4 usually present. When mated to a male having the mutant character eyeless, this female produced 48 normal offspring and 46 "Dichset," thus showing the character to be dominant. Bridges's unpublished data show that the Dichset gene is in the third chromosome, approximately 5 units to the left of pink. The data published by Muller (1916) give the locus as 9.7 from sepia (the locus farthest to the left of those as yet discovered), and 11.0 from spineless, on the right. My own (unpublished) data give: Sepia Dichset, 2®JL = 14.9 p. ct. Dichaet spineless, — = 13.1 p. ct. louy v/oi *I am indebted to Mr. J. W. Gowen for much advice and assistance in connection with the statistical treatment of the present problem. He has done a part of the actual calculations, but is not responsible for any arithmetical slips, as I have myself done all the checking. 3 4 AN ANALYSIS OF THE EFFECT OF SELECTION. The averages, roughly weighted according to number of individuals, are: sepia Dichset, 13; Dichaet spineless, 12. This agrees with the data of Bridges on the position of Dichaet with reference to pink, since that locus is about 8 to the left of spineless. Bridges also found that homozygous Dichaets are not produced. The gene, like that of the yellow mouse, acts as a lethal when homozy- gous. The result is that when Dichaets are mated together they produce two heterozygous Dichaets to one not-Dichaet. This dis- covery has been verified by the experiments described in this paper, and by other experiments carried out by Muller and by the author. TABLE 1. FIGS. 1 and 2. — Two types of bristle distribution in Dichffita — a "3" and a "7." Small post-alars are present in fig. 2. These are never counted in the totals. Culture No. No. of bristles. Total. 3 4 5 6 881 882 883 900 2715 1 9 23 9 32 7 20 29 11 22 15 27 30 11 13 3 56 83 31 67 25 1 80 97 84 262 2 and 7 bristles have also been ob- served in unselected stocks. As shown in plate 1, fig. 1, the wings of Dichaet flies are held out from the body and are bent back near the base. The number of dorso- central bristles (on the dorsum of the thorax) on the original female was 2 instead of 4, as is usually the case in the normal fly (plate 1, figs. 1 and 3). This has since been found to be a variable character. The number of dorso-centrals varies from 0 to 4, and sometimes one or more of the scutellars may be missing. In addition, the an- terior post-alars above and just behind the wing-base are reduced or absent. Plate 1, figure 1, and text-figures 1 and 2 show some common types. The work reported in this paper has consisted in selecting for a high and for a low total of scutellar and dorso-central bristles. Counts from five unselected cultures gave the results as shown in table 1. The normal flies occasionally show variations in bristle number, but these are much rarer than hi the case of Dichaet. MacDowell (1915) has given some data on the frequency of these variations, and has also reported on very extensive selection experiments with them (1915, 1917). These experiments will be referred to below. I have made bristle counts on a few unselected not-Dichaet stocks, with the results shown in table 2. The normal flies have 8 dorso-central and scutellar bristles in most cases, while the Dichaets range from 1 to 8. But the 8-bristled Dichaets are still distinguishable from normals, even when their wings are not AN ANALYSIS OF THE EFFECT OF SELECTION. unfolded enough so that they can be separated on that basis. This is because the anterior pair of dorso-centrals never, so far as I have observed, becomes as large as the corresponding pair in normal flies. The anterior post-alars are also reduced in 8-bristled Dichsets. This TABLE 2. 1 r-V» • 1 1 f > 1 0 9 d« 9 d* 9 d" 9 d1 9 d1 Wild: Falmouth, Massachusetts . Berkeley, California 0 0 0 0 0 0 1 0 186 95 118 104 11 0 2 0 0 0 0 0 318 199 Mitchell, South Dakota. . . 0 o 0 o 0 o 0 o 226 59 213 51 4 1 0 o 0 o 444 112 o o o o 16 21 o 1 o o 38 Pink band 0 o 1 f) 103 99 1 0 o n 209 Black 0 n 0 o 26 38 n o o o 64 Ebony n n o n 80 92 o o o o 172 Blistered 0 o o o 114 67 o o o 0 181 White n o n o 74 77 9 o o o 153 separability is a matter of some importance, since, because of the lethal effect of Dichset, any Dichset culture may produce normal flies. However, the spread wings can be and are used for the separa- tion in all but the rather rare instances of failure to expand properly. SEXUAL DIMORPHISM. Calculations show that there is a slight but significant sexual di- morphism in bristle number in the Dichset races. Random selection of plus and of minus selected cultures gave the totak shown in table 3. TABLE 3. Bristle number. 1 2 3 4 5 6 7 8 Plus 9 .... 4 490 668 1,702 81 fi 2,951 Plus c?.... 3 25 436 684 1,527 53 8 2,736 Minus 9 . . 5 17 1,517 712 424 7 2,682 Minus d" . . 1 39 177 1,190 615 332 2 2,356 These distributions give the statistical constants shown in table 4. The first three columns show that there is a slight difference in the means, the females being higher in both cases. In the case of the plus series the difference is doubtfully significant; in the minus series it is larger and certainly significant. The last column gives the chance 6 AN ANALYSIS OF THE EFFECT OF SELECTION. that differences as great as those observed between the two distribu- tions are due to random sampling. These values were obtained by Pearson's x2 method (Pearson, 1911). This column makes it quite certain that there is a significant sexual dimorphism in both series, and also brings out again the fact that the dimorphism is greater in the minus series. TABLE 4. 9 Mean. d1 Mean. Difference. P Plus Minus... 5.468±0.010 4.583± .010 5.428±0.010 4.436± .012 0.041±0.014 .147=*= .016 0.0001 .0000000 + Because of the information given by this table it has seemed de- sirable to present the data for males and females separately. This has been done in the Appendix; but since the dimorphism is slight, the data have been lumped in the statistical treatment given in the body of the paper. The data in the Appendix make it possible to re- calculate the constants separately if it should seem desirable to do so. EFFECTS OF ENVIRONMENT. In any selection experiment it is obviously very important to have some information regarding the influence of environmental conditions on the variable character used. If the observed variations in the character are largely due to environmental causes, it should be very difficult to accomplish much by selection; but if the environment plays little part in causing variability, selection should be very effective in isolating different types, and on the multiple-factor view variability should show a marked decrease after a few generations of inbreeding. In the case of Dichset, it has been observed that as cultures grow older the flies frequently have fewer bristles. In such cultures it is usually observed that the later flies are also smaller and that the food conditions in the bottle have become unfavorable. It is, therefore, essential in such experiments that conditions be made as nearly uni- form as practicable. The data in table 5 show that under ordinary conditions there is considerable environmental effect. Eight pairs from the regular series were transferred to second bottles, after staying the usual period in the first one. Offspring were thus obtained with identical pedigrees and differing only in that they were reared in separate bottles. No attempt has been made to make conditions different in the two bottles, which constitute a random sample of the conditions under which the experiments were carried out. Table 5 shows the results obtained. (The actual data are in the Appendix; the first three columns of the AN ANALYSIS OF THE EFFECT OF SELECTION. 7 table will enable the reader to find them.) The last three columns give the results of an application of the x2 test to the data. The last column, headed P, gives the chance (1.0 representing certainty) that deviations from identity as great as those observed could have re- sulted from random sampling. It follows that in at least three cases (the fifth, sixth, and seventh) the results given by the two broods were significantly different. TABLE 5. — First and Second Broods from Same Parents. Culture Nos. Series. Gener- ations mother inbred. X1 n' P First brood. Second brood. 1,907 1,908 1,912 1,924 2,074 2,078 2,087 2,475 1,996 1,997 1,998 1,999 2,140 2,141 2,142 2,518 1331 1002 rev 4 6 7 7 9 11 11 *18 3.74 5.60 2.10 6.05 22.09 16.81 19:80 5.22 3 5 4 5 4 4 5 3 0.16 .23 .55 .19 .0001 .001 .0005 .075 1002 . . 1002 900 Test of crossbr. plus . 864 Test of 1002 1Fu and Fn were mass cultures in this case. There is one possible source of error hi these data: It has been shown by Bridges (1915) that the amount of crossing over in the sec- ond chromosome of Drosophila varies with the age of the female. My own unpublished data show that this is also true for the third chromosome. In the present case, if the female parents of the flies observed were heterozygous for many modifying factors, such a change in linkage might result in the production of genetically differ- ent first and second broods. However, the female parents in these cultures were in every case from at least four generations of brother- sister inbreeding (see table 5, column 4)1 and in the significant cases for 9 and 11 generations. It is therefore very unlikely that they were heterozygous for many modifying factors. The two broods from these females must, then, be of the same genetic constitution, and the differences between them can only be due to environmental causes. It follows that hi the experiments recorded below a significant part of the variability is not genetic, but environmental. METHODS. With very few exceptions, the flies recorded in this paper were bred from pairs, and in pint milk bottles. The food used was ripe un- cooked banana, fermented in a stock yeast-culture for from 12 to 48 JThree cases in which the female parents were hybrids have been discarded (see 2091-2143, 3064-3116, 3066-3118 pairs in Appendix). 8 AN ANALYSIS OF THE EFFECT OF SELECTION. hours (usually about 24 hours). Paper toweling was added to absorb surplus moisture. The experiments were begun in New York City in February 1916, and were carried on there until the middle of June, when the material was moved to Woods Hole, Massachusetts, and continued there until the end of September. All these flies were kept at room temperature. The work was resumed in November, in New York, and continued until the middle of May 1917. During these last six months the flies were reared in a heated case that was regulated by a thermostat, so that the minimum temperature was about 24°, the maximum being about 26°, except when room temperature went a few degrees higher, as occasionally happened. It is to be noted that the constant-tempera- ture series run more evenly (see especially 1002 line), thus suggesting that temperature influences bristle number. In order that the data presented in the Appendix may be correlated with this information, if it seems desirable to do so, the following table is presented. Each culture received a serial number at the time the parents were mated, and these numbers run consecutively through- out all the author's recent experiments (on other problems as well as selection). These serial numbers are recorded in the Appendix. Therefore, it is possible to fix approximately the date on which a cul- ture was made up, if we know the date on which a culture with a simi- lar number was made up. The dates of all cultures are noted on the record sheets, but it has seemed hardly necessary to present more than the following "landmarks." TABLE 6. Culture. Date. Culture. Date. Culture. Date. 884 Feb. 3, 1916 1507 June 7, 1916 2389 Sept. 16, 1916 1006 Mar. 24, 1916 1617 June 23, 1916 2423 Nov. 18, 1916 1100 Apr. 16, 1916 1830 July 14, 1916 2601 Jan. 13, 1917 1150 Apr. 22, 1916 2000 Aug. 1, 1916 2950 Mar. 17, 1917 1301 May 15, 1916 2250 Aug. 28, 1916 3078 Apr. 15, 1917 1401 May 28, 1916 SELECTION. If the variations observed in the Dichaet character are due to modi- fication of the Dichaet gene itself, selection should be as effective in inbred stocks as in any other kinds. If multiple factors are responsible for the variations, the method of breeding should affect the result. If a stock is closely inbred while being selected, it will soon become fairly uniform, so that selection should be effective for only a com- paratively short time. But if a strain is subjected to some crossing it will become uniform more slowly, so that selection should be effective AN ANALYSIS OF THE EFFECT OF SELECTION. 9 longer. Moreover, there is a chance of combining more of the desired modifiers in the same individual when crossing is done, so that this method might produce more extreme results than the inbreeding method. However, each time a cross is made some of what has been gained may be hidden by dominants in the other stock; therefore progress might sometimes be slower. Accordingly, in these experiments parallel series have been carried on. In one set selection has been accompanied by continuous brother- sister matings; in the other, frequent crosses have been made between individuals more or less closely related. The same method has been followed in both the plus and the minus selected lines. The four series will be considered in order: (1) inbred plus; (2) crossbred plus; (3) inbred minus; (4) crossbred minus. INBRED PLUS SERIES. Two main lines of this series have been carried on. A few cultures have been made from other sources, but none of these are sufficiently extensive so that we need follow their histories here. 864 LINE. Culture 864, from which this line arose, was produced by a female of the constitution p , s ° from culture 847, and two males from p SSK6 T0 the sepia, spineless, kidney, sooty, rough stock; 847 was the result of mating four peach, spineless, kidney, sooty, rough males from stock to a female of the constitution -^-£. This female TABLE 7' p Dorso- centrals. Total.... Offspring. was descended from the Dichaet, ebony, peach, spineless, kidney, sooty, rough, and other stocks. Her pedigree is not now traceable in detail. At the time culture 864 was counted, the scu- tellar bristles were not observed. The dorso- central bristles were recorded on 30 flies, as shown in table 7. The 3 (almost certainly a 7, according to the system later adopted), a male, was mated to a 2 (6) female to produce culture 893. For the details of the remainder of the pedigree see Appendix. In the accompanying tables and curves the offspring of culture 893, above, are considered FI. Table 8 gives the data for this line summarized by generations. In this and the following tables, n is the number of individuals in the generation, M is the mean bristle- number of the generation, % se N SeD'ss Total. 39 37 3 3 6 10 0 1 99 The mating of DichaetX Extended (or vice versa) gave the following result: Dichset, 99; Extended, 69; normal, 102; total, 270. If we suppose some of the flies classified as "normal" to be in reality Ex- tended, this result approximates to the 1:1:1 expected if Dichaet- Extended flies die. . The fact that the Dichaets are only about a third of the total shows that half the Dichaet gametes have been eliminated somehow. One of the Dichaets and a number (4 individual matings and 2 mass cultures) of the Extendeds have been tested, and neither sort has produced the other. It is, then, safe to conclude that Dichaet- Extended flies die. Culture 1379, in which Extended first appeared, was made up by mating together two 8-bristled flies, the male from 1145, the female from 1253. The latter culture gave among other offspring 5 sevens and 2 eights. The other eight, in 1356, behaved normally, as did one of the sevens (in 1357). Culture 1145, however, gave no seven and only the single eight. Since 1379 gave a result indicating that one parent was Extended instead of 8-bristled Dichaet, it seems probable that the male parent, from 1145, was the mutant. In either case, the Extended parent was produced by mating a 7-bristled Dichset AN ANALYSIS OF THE EFFECT OF SELECTION. 33 female to a 6-bristled Dichset male, both parents being from the cross- bred plus selection series. It follows from the data presented above that Extended is an allelo- morph of Dichset intermediate between Dichset and its normal allelo- morph in its somatic effect, and that it arose in a fly heterozygous for these two factors. It is, then, the kind of thing one would expect contamination of allelomorphs to produce. On the other hand, it seems at least equally possible to suppose that it arose as a mutation of one or the other allelomorph, without the presence of the other or the one having had any influence on the event. In any case, the process must be an extremely rare one, for it has been detected only once, in spite of the very large number of offspring of heterozygous Dichset flies that have been observed and bred. Since the Extended flies have more bristles than Dichsets, it may be supposed that the fact that the former arose hi a plus-selected series is significant. Such a supposition has actually been made by Castle (Castle and Phillips, 1914, etc.) with regard to a similar case in hooded rats. As has been pointed out by MacDowell (1916), a mutation in the direction in which selection is being made has a very much better chance of being discovered than has one hi the opposite direction. Moreover, these mutations have been demonstrated only in an ex- tremely small number of cases; and a very elementary knowledge of the theory of probability will suffice to convince one that a considerable number of cases must be established before one can conclude that muta- tions are more likely to occur in one direction than in another. No argument based on one or two cases, however well established those cases may be, can carry any conviction. "DICH/ETE INTERMEDIATE." The Star Dichset stock in the Columbia laboratory was found to have in it some flies that were indistinguishable from Extended. It seemed possible that these flies were due to an independent occurrence of the Extended mutation. Since the Star Dichset stock is kept by mating (Star) Dichset flies together in each generation, the mutation responsible for these "intermediates" must either have occurred hi a Dichset fly (as did the Extended mutation), or have been in the stock since it was made up. The fact that Dichsets are mated together in continuing the stock seemed, however, to show that the character was not true Extended, since, as we have seen above, Dicheet-Extended flies always die. But the possibility remained that ' f intermediate ' ' was another non-lethal allelomorph of Dichset. Accordingly, tests were made as follows : Matings of Dichset by Dichset gave some intermediates, showing that the continuance of the character in the stock was not dependent on the use of non-virgin females, and proving that the character was not Extended. 34 AN ANALYSIS OF THE EFFECT OF SELECTION. Matings of intermediates by intermediates gave both intermediates and normals, showing that the character was either dominant or irreg- ular in appearance. Matings of intermediate to specks and to black purples of other stocks gave only normals, showing the character to be recessive. Mating together the Fi normals from the last type of matings gave a few intermediates ; but these were in no case speck or black or purple. This is the usual behavior of a second-chromosome recessive, due to no crossing over in the FI male. Hence "intermediate" is a recessive character, and lying in the second chromosome. Its occurrence in the Star Dichset must have been only a coincidence, and can have had nothing to do with the presence of Dichset in that stock. The differ- ence between this character and Extended is a striking illustration of the danger of arguments as to the identity of characters based on similarity of appearance. NOT-DICH/ETS FROM SELECTED LINES. As has already been pointed out, Dichset flies almost always have fewer bristles than have normals. All Dichsets are heterozygous for the normal allelomorph. Therefore, in such an experiment as this one, in which Dichsets are repeatedly mated together, one obtains normal flies the not-Dichset genes in which have been associated with Dichaet genes for many generations. The experiment is, then, suited for a study of the question as to whether or not factors "contaminate" their allelomorphs. If this contamination occurs, one might expect the not-Dichset flies to show a tendency to have fewer bristles than they normally have, and the Dichsets to have more. That Dichsets tend to increase in bristle number is very improbable. The stock has now been kept, always of necessity in heterozygous condition, for more than 40 generations. There is no evidence that any progressive change has occurred, though no selection has been used in keeping the stock cultures. The modal class at present (5 bristles) is actually lower than the class (6) of the original mutant.1 There are some data regarding the bristles of the not-Dichaets pro- duced by selected Dichsets. Counts of these bristles have been taken only occasionally (see table 24), but whenever a bristle number other than 8 has been observed in such flies it has been noted on the record sheet. Examination of these notes shows that in the minus-selected series there are several records of 6 and 7 bristled not-Dichsets, but none of numbers higher than 8. In the plus selected lines there are a number of records of nines and tens, but no sixes and only 1 seven (from 1190, an F6 of the crossbred plus series). The complete counts taken of bristle numbers are given in table 24. 'It may be pointed out that the familiar yellow mouse and several similar cases in Drosophila afford evidence of the same sort against contamination. AN ANALYSIS OF THE EFFECT OF SELECTION. 35 There is no evidence for contamination. With the one exception noted above, all the variations are in the direction for which the Dichsets were being selected. On the multiple-factor view one would expect this result, since it would seem likely that any modifier would usually affect Dichsets and not-Dichaets hi the same direction. The one exception, a 7 from 1190 of the crossbred plus series, is scarcely surprising on this hypothesis, in view of the facts that unselected not- Dichset races may produce sevens (see table 2), and that 1190 was prob- ably not homozygous for a large number of plus modifiers. Since this individual was not tested, it would perhaps be futile to argue the case further. TABLE 24. Bristle Nos. Culture. Series. Genera- tion. 6 7 8 9 10 1277 864 plus 7 57 1285 Crossbred plus .... 7 35 i 1357 Crossbred plus .... 8 33 4 1810 864 plus 10 51 1811 1002 plus 7 16 1268 Crossbred minus. . . 6 13 1273 Crossbred minus. . . 7 33 1878 Crossbred minus . . . 10 15 1879 Crossbred minus. . . 10 20 1881 Crossbred minus. . . 10 23 1882 Crossbred minus. . . 10 31 1892 Crossbred minus. . . 10 10 1986 1331 (speck) minus 5 12 1996 1331 (speck) minus 5 i 34 2015 Crossbred minus. . . 11 88 It may be noted here that in the Star Dichset stock referred to above (p. 31) there were found to be numerous not-Dichsets with 9 and 10 bristles. Unfortunately, no counts were made on these flies, and the nature of the extra bristles was not determined. The stock has since been " purified," to rid it of certain other mutations, and the extra- bristled flies, formerly plentiful, have now disappeared. This stock, as stated above, was continued by mating together (Star) Dichset flies, without regard to bristle number. These extra-bristled not- Dichsets therefore furnish evidence of the same type as that just dis- cussed, except that the race was not selected for bristle number. 36 AN ANALYSIS OF THE EFFECT OF SELECTION. GENERAL DISCUSSION. THE SELECTION PROBLEM : QUESTIONS AT ISSUE. It appears to the writer that the three questions below are the chief ones at issue in the discussion of the selection problem: 1. Does selection use germinal differences already present, or differences that arise during the experiment, or both? 2. In case it uses new differences, does it cause them to occur more frequently, and does it influence their direction? 3. Are differences, already present or arising de novo, more likely to occur in the locus of the gene under observation, or in other loci? It is not, I think, questioned by any one that selection may effect either gradual or sudden change in the mean character of mixed races, or that it may even, occasionally, produce such an effect in pure races if a mutation in the desired direction happens to occur. 1. Does selection use germinal differences that are already present, or differences that arise during the experiment ? Everyone who has bred animals or plants is familiar with the fact that different strains, even when rather closely related, differ in all sorts of minor points — size, proportions of organs, shade of color, resist- ance to disease, fertility, temperament, rate and habit of growth — in fact, in almost any respect that one investigates. This can only mean that such strains differ genetically; and since the kinds of differ- ences are usually so numerous, they probably usually have many genetic differences — i. e., they differ in respect to many factors. In any race not normally self-fertilizing or closely inbred, crosses between individuals of different constitution must then be frequent. And such crosses must, on the assumption that the original differences were Mendelian, lead to the production of a population more or less hetero- zygous for factors that produce minor effects on all sorts of charac- ters. The assumption that the differences are Mendelian rests on the observed facts, (1) that demonstrably Mendelian factors may produce effects on practically any kind of character studied, and effects of practically any observable degree; and (2) that non-Mendelian inher- itance has never been demonstrated, except for a few cases of plastic characters in plants and cases of infectious diseases.1 Other kinds of inheritance may exist ; but the available data indicate that they must be extremely rare. Therefore the chances are that any observed difference between two strains is Mendelian. If these conclusions be accepted, it follows that any strain not very closely inbred is likely to be heterozygous for factors influencing many characters. Selection for these characters will then be effective in isolating favorable combinations of such "modifying factors." K)ne may refuse to call these cases of inheritance if he chooses to define that term so as to exclude them. AN ANALYSIS OF THE EFFECT OF SELECTION. 37 Mendelian differences are still arising by mutation and may arise in a selection experiment as well as anywhere else; and those that arise in such an experiment are as likely to affect the character under ob- servation as are any Mendelian differences taken at random. It is therefore probable that selection sometimes makes use of variations that arise during the course of the experiment, or, rather, that varia- tions which may be available do arise. The question is, what is the relative frequency of the two kinds of available factor differences — those already present and those that arise de novo? The answer is found by investigation of the data on selection in inbred lines and in crossbred lines. In closely inbred strains there are not likely to be many factor differences present when selection is begun, while in crossbred lines these differences are likely to be numerous. That selection is usually effective in crossbred lines is a well-known fact, demonstrated many times with many different organisms. Not many experiments have been carried out on closely inbred material, but those of Johannsen (1903), MacDowell (1917), and the present paper (p. 11) show that selection may be without effect in such lines. In two of these cases selection was effective until the lines became highly inbred. But mutations influencing the characters under observation have been obtained in the selection experiments of Castle and Phillips (1914), Morgan (Morgan, Sturtevant, Muller, and Bridges, 1915, p. 205), Lutz (1911), and those reported in this paper (p. 3 1).1 Apparently, then, selection produces its effects chiefly through isolation of factors already present, but occasionally available muta- tions do arise during the course of the experiment. 2. Does selection cause mutations, or influence their direction? The usual selection experiment consists hi breeding from individuals that are extreme in some respect. This extreme character may be environmental in origin, or it may be caused by germinal differences. In the first case, no geneticist is likely seriously to maintain that selec- tion will have any effect whatever. In case the extreme character is germinal in origin, selection will of course be effective hi eliminating certain genetic types. Moreover, given a combination of genes that produce the character in a certain degree, we are evidently in a better position to reach a further stage than if we have the character less well developed. For how long a tail will be when it gains an inch evidently depends on how long it was before it gained that inch. But it seems incomprehensible that selection of individuals of a constitution favor- 1Evidence derived from forms that reproduce asexually is also available in studying this question, for such reproduction commonly prevents recombination, and therefore gives results comparable with those obtained from homozygous strains. Some of the evidence obtained from studies on asexually produced Protozoa (e. g., Calkins and Gregory. 1913; Jennings, 1916; Middle- ton, 1915) has shown that selection may be very successful in changing such forms. But it is very doubtful if these animals are comparable with the Metazoa in the method of distribution of their chromatin. It seems not improbable that in some cases recombination may here be possible in asexual reproduction. 38 AN ANALYSIS OF THE EFFECT OF SELECTION. able to the development of a given character can make more likely the occurrence of factorial variations affecting that character, or variations affecting it in a given direction. As a matter of fact, there is no evidence for such a conclusion. The occurrence of mutations is ordinarily such an extremely rare phenomenon that it would be very difficult to obtain statistically significant data in the matter. More- over, when one is selecting for a character, one is examining his animals or plants for th;>,* character with unusual care, so that any mutations in that character are very likely to be observed and tested, provided they are in the direction in which selection is being- carried out. It follows from these considerations that extremely careful controls are re- quired before any data on these questions can have any significance. 3. Are variations more likely to occur in the locus of the gene under observation, or in other loci? In Drosophila over 25 different and independent mutant factors affect the color of the eye. In mice there are 7 or more independent factors affecting coat-color. According to Little (1915) there are 2 and prob- ably 3 independently segregating factors that affect spotting in these animals. There are at least 14 and probably more definite genes (in different loci) that affect bristle number in Drosophila, not counting the "modifying factors" studied by MacDowell and the writer. In view of these and many similar facts, it is certain that changes in a given character may be brought about by changes hi many differ- ent parts of the germ-plasm. If selection of a given mutant race, say hooded rats or Dichset Drosophila, is likely to cause or to isolate muta- tions in the gene that differentiates that race from the normal type (i. e., the hooded factor or the Dichaet factor) rather than in any other factors, it follows that mutant allelomorphs must be more variable than " normal" ones. For, by analogy with mice, hooded rats are homozygous for the normal allelomorphs of several possible factors affecting spotting; and Dichset flies are certainly homozygous for the normal allelomorphs of at least 13 mutant factors that affect bristle number. It may be true that mutant factors are on the average more variable than their normal allelomorphs; but no evidence to that effect is at hand; and owing to the great difficulty of statistical treat- ment of the frequency of mutations alluded to above, such evidence will be very difficult to obtain.1 In the absence of such evidence, it is more probable that variations will appear in other factors, since there are many of them to vary, but commonly only one that is responsible for the difference under observation. That changes of the one factor itself may occur in selec- tion experiments, however, has been shown by Castle (Castle and Wright, 1916) and the writer (p. 31). It does not follow that selection has caused these variations or that they are more likely to occur than are variations in other factors. 'Evidence has been obtained by Emerson (1917), who used unusually favorable material, that shows clearly that different allelomorphs may at times differ greatly in their mutability. AN ANALYSIS OF THE EFFECT OF SELECTION. 39 CONTAMINATION OF ALLELOMORPHS. When two races that differ in quantitative characters are crossed, it is frequently observed that FI is fairly uniform, and that F2 shows an increase in variability together with the production of forms inter- mediate between the parent races and often different from the FI. There are two current methods of accounting for these cases: (1) The two races are assumed to have differed in a number of Mendelian factors affecting the character in question. The observed result is then explained as due to the recombinations of these factors. (2) The two races are assumed to have differed in only one factor affecting the character in question, and the new types observed in FI are supposed to be due to "contamination" hi the FI hybrid, that is, allelomorphs present in the heterozygote are supposed to have influ- enced each other, so that they do not come out unchanged. The fundamental principle of the first explanation — that more than one factor may influence the same character — is admitted by all Mendelians. But many of the adherents of that explanation are unwilling to admit that "contamination of allelomorphs" has ever been experimentally demonstrated. Let us then examine the evi- dence that is brought forward hi support of that assumption. The following quotations are the chief ones bearing on the ques- tion that I have been able to find hi recent literature: "The currently accepted explanation (of size inheritance), which its supporters choose to call 'Mendelian,' rests upon the idea of game tic purity in Mendelian crosses. It assumes that Mendelian unit-characters are un- changeable and unvarying, and that when they seem to vary this is due to a modifying action of other unit-characters (or factors) .... The idea of unit-character constancy is a pure assumption. In numerous cases unit- character inconstancy has been clearly shown, as in the plumage and toe characters of poultry according to the observations of Bateson and Daven- port, and the coat-characters and toe-characters of guinea-pigs in my own observations. Unit-character inconstancy is the rule rather than the ex- ception." (Castle, 19166, p. 209.) " . . . .1 have shown in numerous specific cases that when unlike gametes are brought together in a zygote they mutually influence each other; they partially blend, so that after separation they are less different than they were before. The fact remains to be accounted for that partial blending does occur (1) when polydactyl guinea-pigs are crossed with normals (Castle, 1906); (2) when long-haired guinea-pigs are crossed with short-haired ones (Castle and Forbes, 1906); and (3) when spotted guinea-pigs or rats are crossed with those not spotted (MacCurdy and Castle, 1907). Davenport has furnished numerous instances of the same thing in poultry; indeed, he has shown that "imperfection of dominance" and of segregation are the rule rather than the exception in Mendelian crosses in poultry." (Castle, 1916d, p. 253.) " . . . . The English unit-character had changed quantitatively in trans- mission from father to son. This seems to us conclusive evidence against the idea of unit-character constancy, or 'gametic purity.'" (Castle and Hadley, 1915.) " . . . . We are often puzzled by the failure of a parental type to reappear in its completeness after a cross — the merino sheep or the fantail pigeon, for 40 AN ANALYSIS OP THE EFFECT OF SELECTION. example. These exceptions may still be plausibly ascribed to the inter- ference of a multitude of factors, a suggestion not easy to disprove; though it seems to me equally likely that segregation has been in reality imperfect." (Bateson, 1914.) Fractionation is referred to by Bateson in this same paper as prob- ably due to imperfect segregation. Illustrations are Dutch rabbit and Picotee and other sweet peas. (See p. 298.) "Accordingly we seem limited to the conclusion that a slowly blending gene is involved in the cross between early flowering and late flowering peas, that the blending after one generation of heterozygosis may be small in amount, but after three generations it is in the majority of cases practically complete, so that the commonest ' constant ' class in the entire hybrid popula- tion is one strictly intermediate between the modes of the parental varieties. This interpretation is entirely in harmony with the observed modification through crossing of many Mendelizing characters, as observed by Daven- port, Bateson, and many others in poultry, guinea-pigs, swine, and other animals, as well as in plants." (Castle, 19166, p. 215.) Hayes (1917) states on the basis of his experiments with variegated maize: " . . . . One might conclude that certain heterozygous combinations produce germinal instability which exhibits itself either as imperfect segrega- tion, gametic contamination, or sporophytic variation." In these quotations the following cases have been cited as evidence in favor of contamination, and therefore calling for investigation :* 1. Polydactyl guinea-pigs (Castle, 1906). 2. Long-haired guinea-pigs (Castle and Forbes, 1906). 3. Spotted guinea-pigs and rats (MacCurdy and Castle, 1907). 4. English rabbits (Castle and Hadley, 1915) . 5. Poultry, plumage and toe characters (Bateson and Davenport). 6. Merino sheep. 7. Fantail pigeons. 8. Dutch rabbits. 9. Picotee and other types of sweet peas. 10. Flowering time in peas (Hoshino, 1915). 11. Unspecified case in swine. 12. Variegated pericarp in maize (Hayes, 1917). Before we can discuss some of these cases intelligently it is neces- sary that we make sure what Castle means by the terms "gametic purity" and "unit-character." Unless these terms are understood in such a way as to eliminate from consideration the idea of recombina- tion of independent factors there is, of course, nothing to discuss. If by gametic impurity or inconstancy of unit-characters is meant that recombination of modifying factors occurs, the existence of such phe- nomena must be granted at once — this is, in fact, the main contention of the school of "pure line" advocates or "mutationists." I think the two following quotations from Castle are sufficient to show that there need be no disagreement on the question of defining these terms: "What we want to get at, if possible, is the objective difference between one germ-cell and another, as evidenced by its effect upon the zygote, and it is lThe rough-coated guinea-pig was formerly cited (e. g.. Castle and Phillips, 1914), but is now never used. This is because Wright (Castle and Wright, 1916) has shown the results to be due to multiple factors. AN ANALYSIS OF THE EFFECT OF SELECTION. 41 the constancy or inconstancy of these objective differences that I am dis- cussing. If these are quantitatively changeable from generation to genera- tion, then change in the variability of the zygote composing a generation might arise without factorial recombinations."1 (Castle, 1914a.) "The head, the hand, the stomach, stomach-digestion, these are not unit- characters so far as any one knows. But if a race without hands were to arise and this should Mendelize in crosses with normal races, then we should speak of a unit-character or unit-factor for 'hands/ loss of which or variation in which had produced the abnormal race. But in so doing we should refer not to the hand as an anatomical part of the body nor to the thousand and one factors concerned in its production, but merely to one hypothetical factor to which we assign the failure of the hand to develop in a particular case. It is immaterial whether we call this a unit-character or unit-factor or use both terms interchangeably " (Castle, 19166, p. 100.) 1. POLYDACTYL GuiNEA-PlGS. The most extensive data on this case are apparently in the paper (Castle, 1906) cited in the quotation already given. The extra-toe character was at first irregular in appearance, but was improved by selection. In five generations, without very close inbreeding, a practi- cally uniform race was obtained. When crosses to normal were made, the FI results varied from nearly all normal to nearly all polydactylous. F2 contained both normal and extra-toed individuals. It is pointed out by Castle in this paper that the results are very similar to those obtained by Bateson from polydactylous fowls. Bateson's comment on that case is given below. In the absence of any definite data regarding F2 counts, the case as reported is entirely explicable on the multiple-factor view. Castle himself said of it, five years after the publication of the above paper: "An alternative explanation is possible, viz., that the development of the fourth toe depends upon the inheritance of several independent factors, and that the more of these there are present, the better will the structure be developed. The correctness of such an interpretation must be tested by further investigation." (Castle, 1911, p. 101, footnote.) So far as I have discovered, such further investigations have not yet been reported, although five years later this case is listed as No. 1 among those that demonstrate contamination of allelomorphs. 2. LONG-HAIRED GUINEA-PIGS. The reference given for this case (Castle and Forbes, 1906) seems to contain the most recent and complete data regarding it. Angora guinea-pigs appeared in a short-haired stock, apparently as segregated recessives. On crossing to short and extracting, there were produced some animals of intermediate hair-length, and some unusual ratios. But similar intermediates appeared in another strain of shorts, apparently uncrossed with angoras, thus making it highly probable that we are dealing here with a factor already present hi the Italics mine. 42 AN ANALYSIS OF THE EFFECT OF SELECTION. race, and not produced by the cross of angora X short. The unusual ratios are based on quite small numbers, and the authors admit that there are difficulties in separation of the three classes, apparently due to overlapping. Moreover, we are given the results only in total, not from each mating separately. Castle himself has said of this case: " ... a single unit-character is concerned. Crosses in such cases involve no necessary change in the race, but only the continuance within it of two sharply alternative conditions." (Castle, 1911, p. 39.) 3. SPOTTED GUINEA-PIGS AND RATS. The reference given for these cases is MacCurdy and Castle (1907). I am unable to find in that paper any evidence regarding guinea-pigs that bears on the question of contamination. Nothing but selection experiments are reported. There is, so far as I am aware, no evidence of significance in this connection in the more recent literature on spotting in guinea-pigs. The evidence referred to from rats is apparently that obtained from crosses between hooded and Irish races. Hooded rats extracted from such crosses had more extensive colored areas than the uncrossed hooded rats. The data given by Castle and Phillips (1914) and ana- lyzed by MacDowell (1916) show that this is true only when the hooded race is a "minus" one. The "plus" hooded race becomes less pig- mented when crossed to Irish (or to self) . MacDowell has shown that these results conform very closely to the expectations based on the multiple-factor view. The later evidence on the case of the hooded rat is discussed else- where in this paper. 4. ENGLISH RABBITS. The data for this case are contained hi two papers (Castle and Hadley, 1915a, 19156), in each of which the full presentation is made. The spotting of the English rabbit is a dominant character and is somewhat variable. A single heterozygous male, of the grade desig- nated 2, was mated to a number of Belgian hares. 187 English young were produced, of mean grade 2.43, and of these FI English, a buck of grade 3.75 (only one FI English was of higher grade), was then mated to the same Belgian hare females. 189 English young, of mean grade 2.92, were produced. This case presents no difficulties for the multiple-factor view, since no evidence is given that indicates the original English buck to have been homozygous for all modifying factors, or that prevents us from supposing the Belgian mother of the FI buck to have transmitted more plus modifiers to him than were present hi his father. Under the circumstances, it would have been very surprising if the two lots of young had been of the same mean grade. AN ANALYSIS OF THE EFFECT OF SELECTION. 43 5. PLUMAGE AND TOE CHARACTERS IN POULTRY. We are referred to the observations of Bateson and Davenport for these cases. In one instance it is stated that Davenport has shown that " imperfection of dominance" and of segregation are the rule in poultry. The question of imperfection of dominance is not apropos in this connection. As Castle has said, regarding another case : " . . . .if black is crossed with brown, the crossbreds are apt to develop in their coats more brown pigment granules than do homozygous or pure blacks. Nevertheless, we have no reason to question the entire purity of the gametes, both dominant and recessive, formed by such cross-bred black animals. It is the dominance, not the segregation, which is imperfect." (Castle, 1911, p. 91.) That FI results do not bear on the question has been shown by Bateson (1909), who says with regard to polydactylous fowls: "It might be pointed out that when, as in these examples, the abnormal result is clearly perceptible in E\, no question arises as to the occurrence of an imperfect segregation. The peculiarity is evidently zygotic, and is caused either by some feature of zygotic organization, or by the influence of external circumstances." (Bateson, 1909, p. 251.) Moreover, in any case involving irregularities hi dominance, im- perfect segregation in crosses between different breeds would be very difficult to demonstrate. 6. MERINO SHEEP. No reference to the data in this case are given. I have been unable to discover anything more definite than a few general statements by practical breeders regarding the effects of crossing Merinos. Bateson admits, in the passage quoted above, that this and the next case "may be ascribed to the interference of a multitude of factors." 7. FANTAIL PIGEONS. This case has been studied by Morgan (Morgan, Sturtevant, Muller, and Bridges, 1915, p. 186). The fantail type did not reappear in the comparatively small F2 generation, but individuals not far from the fantail were obtained; and when the FI hybrids were mated to fan- tails, several of the offspring fell within the range of the fantail race. Bateson's "failure of a parental type to reappear in its completeness after a cross" is, then, scarcely applicable to this case. 8 AND 9. DUTCH RABBITS AND CASES IN SWEET PEAS. FRACTIONATION. These are the specific cases cited as illustrations of Bateson's theory of "fractionation" or "subtraction stages," of which he states that 'it is to be inferred that these fractional degradations are the con- sequences of irregularities in segregation." In the case of the sweet pea, Bateson has pointed out that white flowers and the extreme dark 44 AN ANALYSIS OF THE EFFECT OF SELECTION. flowers of the deep purple Black Prince were among the earliest varia- tions to appear, while the intermediate forms have arisen later, as he suggests by fractionation. It would seem to follow that they have arisen in heterozygous forms, for otherwise the fact that the larger variants appeared first would be of no significance. There is, I think, no evidence to show that the later variations did actually arise in heterozygous forms, either in sweet peas or in rabbits. These factors are all inherited separately, and this fact would seem to rule them out of consideration if one adopts the chromosome theory of inheritance or if one appeals to multiple allelomorphs as evidence in favor of the variability of genes. In short, we have no evidence regarding the origin of these forms, and their present behavior seems to indicate that they are not due to fractionation. The only evidence in favor of such a hypothesis is the somatic appearance of the characters. 10. FLOWERING TIME IN PEAS. Castle (1916a, p. 324) has summarized this case as follows: "Hoshino (1) recognizes that gametic contamination results from cross- ing early and late flowering varieties; (2) recognizes also that variation may occur among the cross-bred families, as well as in different pure lines of the uncrossed races, as regards the 'quality,' value, or potency of the same gene; (3) although Hoshino does not refer to the fact, his observations show clearly that genetic variation of a gradual or fluctuating sort occurs in at least one of the varieties which he crossed. " . . . . What I want to suggest is that in these several agencies we have a sufficient explanation of the variation observed in Hoshino's F2, F3, and F4 generations, without invoking a two-factor hypothesis (as Hoshino has done), one factor being enough." Castle's argument is that a difference in one pair of genes is sufficient to account for the result, if contamination be assumed; and that one difference is a simpler assumption than two. I have argued here that such an assumption is not simpler, unless we can find positive evidence that contamination ever occurs. In the present case, then, we must turn to the evidence that led Hoshino to suppose contamination to have occurred. Hoshino crossed an early-flowering pea and a late-flowering one. The FI was nearly as late as the late parent; F2, obtained by self- fertilizing FI, approximated fairly closely to 3 late : 1 early, but the two classes were somewhat more variable than the corresponding parent varieties, and apparently overlapped slightly. Hoshino self- fertilized 236 of these F2 plants and obtained 46 families that he classified as constant, i. e., supposedly homozygous. This is a fair approximation to the 1 in 4 expected if two pairs of genes are respon- sible for the result. Hoshino shows that two pairs of genes will, in fact, account for most of the results obtained. There are certain facts not thus accounted for, but Hoshino shows (p. 265) that "secondary" AN ANALYSIS OF THE EFFECT OF SELECTION. 45 modifiers (i. e., modifiers producing only small effects) will account for all these facts, with a single exception. Three families were ob- tained from F2 plants that must, on the two-factor view, have been of the same constitution. These plants were heterozygous for one pair of genes only. They produced, in F4, the same type of later constant (homozygous) families, but differed slightly in the flowering times of the earlier constant families produced. According to Ho- shino's view, if the earlier types differed the later ones should have differed in the same direction, because they must have received the same " secondary modifiers." This objection is not valid, for specific modifiers that act only in the presence of certain other genes are well known (see especially Bridges, 1916), and are sufficient to account for the differences observed. This argument is the only one that Hoshino gives to support his conclusion that contamination must have occurred. We must then conclude that the case does not furnish positive evidence for contamination, since it is explicable without re- course to that hypothesis.1 11. UNSPECIFIED CASE IN SWINE. This case is cited by Castle (19166, p. 215), but no references or authorities are given. It appears, however, from the legend under fig- ure 93 (opposite p. 139) that the belted character is the one referred to. The only data bearing on this case that I have found are presented by Spillman (1907), and consist of information supplied largely by prac- tical swine-breeders. Spillman himself interpreted the case as one in which two factor-pairs are involved. The data also suggest the pos- sibility that we are dealing with a case of "imperfect dominance" simi- lar to those in poultry. At best, the data are meager and indefinite. 12. VARIEGATED PERICARP IN MAIZE. The paper of Hayes (1917) referred to above should be studied in connection with those of Emerson, particularly his full paper (Emer- son, 1917), dealing with the same character. These two workers have shown that there is a remarkable series of multiple allelomorphs in this case, and Emerson has shown very clearly that some of these allelomorphs mutate quite frequently — the only established instance of the sort. xWe are not here directly concerned with Castle's contention that Hoshino's results prove the effectiveness of selection within a pure line. I can not, however, refrain from a few comments on that contention. Castle states (1916a, p. 324), in connection with the differences in flowering- time between the offspring of early and late flowering sister-plants: "From long experience in studies of rats with such small differences as are here indicated I have no hesitation in concluding that fluctuating variation of genetic significance is here in evidence." One wonders how ex- perience in dealing with differences in pigmentation in rats can give an observer special ability in determining by inspection the significance of three-tenths of a day diffeience in the flowering time of peas. With respect to Castle's calculations from Hoshino's data, it may be pointed out that the greatest favorable difference recorded, 1.27 days, is incorrect, and should read 0.26 day. In view of the fact that there is no guarantee that the material used was homozygous, I have thought it scarcely worth while to recalculate all the differences, or to determine their probable errors; but it is certain that the probable error of each difference is of the same order of magnitude as the average difference itself, i. e., about 0.3 day. 46 AN ANALYSIS OF THE EFFECT OF SELECTION. Hayes has, by selection from a mixed population, established four different grades of variegation (including self-colored and colorless) that breed true and that represent four allelomorphs. The two in- termediate types, "mosaic" and "pattern," are the ones of special interest in the present connection. When these two types were crossed, the mosaic type was dominant, but there was an increase in variability in FI and some individuals with more pigment than either parent were obtained. The parent races had been selfed and selected for about six generations before the cross was made. In view of the great amount of heterozygosis that seems to be normally present in maize, and the large number of chromosome pairs (20?), this seems to be hardly sufficient to make certain that both races were pure for their modifiers. The increased variability of FI is therefore not surprising; and that phenomenon would of course be expected to be followed by a still greater increase in variability in F2. Such an increase was, in fact, observed, and is the chief basis for Hayes's conclusion that con- tamination may occur. The data are not sufficient to demonstrate that new allelomorphs arise more often in heterozygotes than in homo- zygotes; and even if it be shown that they do so, it does not follow that there has been contamination of allelomorphs. There are too many unknown factors involved in the production of these new allelomorphs for such a conclusion to be valid without very careful controls. It appears from the foregoing review that the cases cited as illustra- tions of contamination of allelomorphs or imperfect segregation are all explicable on the multiple-factor view, or rest on extremely indefinite data. One series of data bearing on the question has been presented in this paper (p. 32), and has been interpreted as giving evidence against contamination. Three other cases have been worked out by Muller (1916) and Marshall and Muller (1917). Muller kept three mutant characters of Drosophila in heterozygous condition for about 75 generations. The factors were kept constantly in flies heterozygous for their normal allelomorphs, so that the characters remained unseen for a long time. Muller extracted one of these characters (dachs) from this stock, and measured the tarsi, using the length of thorax as a standard of comparison. Dachs flies are characterized by shortened tarsi; and the flies from the heterozygous stock were found to have tarsi actually a trifle shorter than those found in a stock that had been kept pure for dachs. This result was not very conclusive, chiefly because it was based on a very few flies. Marshall and Muller made much more extensive studies with the whig characters, curved and balloon, derived from the same heterozy- gous stock. They obtained a similar result; the wings were no nearer AN ANALYSIS OF THE EFFECT OF SELECTION. 47 the normal than were those of curved and of balloon flies that had been kept in pure stocks. These results, taken in connection with the data presented above for bristle number in flies from lines heterozygous for Dichaet, furnish definite evidence against contamination of allelo- morphs in heterozygous forms. CASTLE'S EXPERIMENTS WITH HOODED RATS. Perhaps the best known selection experiment is that carried out by Castle and various collaborators (Castle and Phillips, 1914, Castle and Wright, 1916, etc.) with hooded rats. The theoretical conclu- sions reached by Castle are not in agreement with those arrived at by various other investigators, including the author, although for the most part the data obtained are very similar. Castle's results have been discussed by Muller (1914o) and MacDowell (1916), who have shown in detail that all the data known to them were explainable on the multiple-factor view, without recourse to such hypotheses as contamination of factors or production of factorial variations by selec- tion. One point has, I think, not been sufficiently emphasized by them, namely, that the rat experiments are hard to evaluate properly until we are in possession of more accurate data regarding the pedi- grees. Since these two criticisms were written, Castle (Castle and Wright, 1916) has given some additional data, which he has used, in a reply (Castle, 1917) to MacDowelTs paper, as arguments against the latter's conclusions. With regard to the question of pedigrees, to take up these ques- tions in order, the main point on which information is desired is: How closely inbred were the rats, both before and after the beginning of the selection experiment? The following quotations contain most of the available evidence on this matter: "Since the entire stock is descended from a very few individuals (less than a dozen), and we have at no time hesitated to mate together brother and sister, provided they varied in the same direction, but have always used the most extreme individuals (plus or minus) which were available, to mate with each other, it follows that very close inbreeding must have occurred throughout the experiment." (Castle, 19146.) "It is impossible for a colony of 33,000 rats to be produced from an original stock of less than a dozen animals, with constant breeding together of these which are alike in appearance and pedigree, and with continuous selection of extremes in two opposite directions, without the production of pedigrees which in the course of each selection experiment interlock generation after generation and finally become in large part identical with each other. This has been repeatedly verified in individual cases, but is incapable of a more generalized statement or of demonstration in generalized form. At least I am unable to devise such demonstration." (Castle, Elsewhere (Castle and Phillips, 1914, p. 20) it is stated that part of the original stock consisted in a mixed lot of trapped rats that "had probably arisen by the crossing of an escaped albino rat with wild 48 AN ANALYSIS OF THE EFFECT OF SELECTION. ones." We do not know where the rest of the stock came from, and we do not know how the animals used to start the selection experi- ments were derived from these sources. We do not know how many individuals were used to start the selection experiment ; and we do not know anything as to the relationship between the rats in the two series (plus and minus). And, finally, we have only very indefinite data as to what system of breeding was followed during the experiment. All this information is very much needed, if we are to know how to interpret the results. It is conceivable that each series was split up into a number of separate lines, and that these have been crossed from tune to time. Such a system would result in bringing together modifying factors more slowly than would a system of very close in- breeding. It is, of course, very improbable that any such system has been followed; and such an assumption is by no means necessary for a multiple-factor interpretation of the results. But definite informa- tion is very desirable, as is indicated by an analogous case. In connection with certain work that the writer has been carrying on with Mr. J. W. Gowen, pedigrees of the two famous thorough- bred race-horses, Sysonby and Artful, have been tabulated. These pedigrees are both practically complete for 10 ancestral generations. They constitute a fair random sample of pedigrees in the breed, for Sysonby was of pure English blood, while Artful had many American- bred ancestors. The two pedigrees show no name in common until we reach the fifth ancestral generation. In that generation there are three names that appear in both pedigrees. But by the time we reach the tenth ancestral generation, approximately 90 per cent of the 1,024 names in Artful's pedigree appear also in the first ten generations of Sysonby 's pedigree. And the result would certainly be even more striking if the pedigrees were studied for a few more generations, or if two English-bred horses were compared. Here, then, we have a clear case of "interlocking" pedigrees. Yet in spite of the long in- breeding (12 to 20 or more generations, with scarcely any out-crosses) which the breed has undergone, there are still a large number of bay or brown and of chestnut race-horses, besides a few grays and blacks. Of the four Mendelian factor pairs (see Sturtevant, 1912) for which the race was originally heterozygous, it has become homogeneous only in that the roan factor has been eliminated.1 Clearly, selection for any one of the colors now present would still be effective in eliminating the others. The breed, which we may suppose to be inbred to some- thing like the same degree as Castle's hooded rats, is still very far from a "pure line." The new data presented by Castle and not taken up by MacDowell consist of two points: The crosses of extracted hoodeds (from plus 'Even in the early days roan race-horses were not at all common. Both roan and gray have been selected against. AN ANALYSIS OF THE EFFECT OF SELECTION. 49 race X wild) to wild, and the relations of the "mutant" series to the selected series. When the plus race was crossed to wild, and F2 hoodeds were ex- tracted, it was found that in these extracted animals the mean grade was lighter (less "plus") than that of their selected grandparents. This, as MacDowell pointed out, is the expectation on the multiple- factor view. But Castle now states that when these extracted hoodeds are again crossed to wild, and hooded is extracted once more, the twice-extracted hoodeds are about midway in mean grade between their extracted grandparents and the uncrossed plus race. As he says, the wild race might have been expected to bring these animals still farther away from the plus race if modifying factors were involved. Evidently it is very important that we know as much as possible about the wild rats used in these experiments, in order that we may know what they were likely to carry in the way of modifying factors. These rats, we are told, all came from the same stock, which was trapped at the Bussey Institution in large numbers and was reared for two gen- erations in the laboratory. "In making the second set of crosses, the extracted individual has, wherever possible, been crossed with its own wild grandparent." An examination of the table given shows that not more than 102 of the 256 twice-extracted hoodeds can have been produced in this way, unless individuals of the same sex were mated together. Just how many of the 102, and which ones, does "wherever possible" include? How many wild rats were used hi the original crosses? These questions are important, because it is evident from a study of the data that the result emphasized by Castle is due almost entirely to the descendants of one original plus-line female; 41 of the 73 once-extracted hoodeds were F2's from this female; and their mean grade was 3.05, as against 3.3 for the remaining F2's, and 3.17 for the generation as a whole. The twice-extracted hoodeds tracing to this female were of mean grade 3.47, while those from the other original hoodeds were again of approximately grade 3.3. Further data re- garding the pedigree and other descendants of the mates of this female and of her grandchildren are very much needed. Informr tion regard- ing the ancestry of the female herself would also be interesting. It should also be pointed out that this case, accepted at its face value, is difficult to explain on the view that the hooded-rat results are pro- duced solely by variations in the hooded factor itself. On that view the changes brought about by crossing are usually referred to con- tamination of the factors in the heterozygote. But that interpretation leaves entirely unexplained the results of the first cross to wild. If the hooded factor is contaminated by its allelomorph, the once- extracted hoodeds should be darker than their grandparents, whereas in reality they are lighter, as would be expected on the multiple-factor 50 AN ANALYSIS OF THE EFFECT OF SELECTION. view. Castle has met this objection in the following manner (Castle and Wright, 1916): "This suggests the idea that that loss (of 'plus' character) may have been due to physiological causes non-genetic in character, such as produce in- creased size in racial crosses; for among guinea-pigs (as among certain plants) it has been found that FI has an increased size due to vigor produced by crossing and not due to heredity at all. This increased size persists partially in F2, but for the most part is not in evidence beyond Fx. I would not sug- gest that the present case is parallel with this, but it seems quite possible that similar non-genetic agencies are concerned in the striking regression of the first Fj and the subsequent reversed regression in the second Fj." This comparison seems to me to be rather far-fetched, and I am quite unable to understand the hypothesis of " non-genetic physiologi- cal causes." That they are "physiological" is, of course, obvious; but they depend for their appearance on the pedigree of the animal, and they are persistent to F2, so why " non-genetic"? The results from size crosses are entirely explicable on the basis of Mendelian modifying factors, so why need one appeal to vague "non-genetic," yet transmissible, factors? And is not such an appeal, in principle, an appeal to modifying factors? It certainly involves the assump- tion that the grade depends on transmissible material other than the hooded factor itself. In the tenth generation of Castle's plus selection series there ap- peared two rats of considerably higher grade than any individuals of that series previously recorded. These individuals were shown (Castle and Phillips, 1914, pp. 26-31) to differ from the plus race by a single dominant factor. This has been taken by MacDowell to indicate that a new modifying factor arose by mutation. But Castle has now presented evidence indicating that the mutation occurred in the hooded locus itself. When homozygous "mutants " were crossed to wild rats, F2 consisted in self-colored rats and rats of the same grade as the mutant series — no hooded individuals. (Castle and Wright, 1916.) Castle (1916) concludes from this evidence: "This serves to confirm the general conclusion that throughout the entire series of experiments with the hooded pattern of rats we are dealing with quantitative variations in one and the same genetic factor." Now, the "mutant" variation differs from the other results obtained by Castle in two respects: It appeared suddenly, as a definite and very slightly variable character, and it fails, when crossed to self, to give normal hooded in F2. Because of the first point, it is probable that it arose during the experiment as a new variation; because of the sec- ond, it is probable that it is a variation in the hooded factor itself. Since these conclusions as to its nature are based entirely on the points in which it differs from the remainder of the results, it is difficult to see how Castle's case for these results is in any way unproved. On the contrary, if this is the behavior to be expected of a new variation AN ANALYSIS OF THE EFFECT OF SELECTION. 51 arising in the hooded factor, then the "mutant" variation is evidently the only case of that sort that Castle has reported. GENERAL CONCLUSIONS. That many characters may be influenced by more than one pair of genes has long been recognized, and this is the essence of the multiple- factor view. That genes exist which require the action of other genes before they produce visible effects has also been long known. Further- more, that there are genes which produce very slight visible effects is now another commonplace. Given these three facts, and the hypothesis (which is supported by much specific evidence) that most races are heterozygous for a number of such genes is all that is re- quired to complete the conception that is held by most adherents of the view that multiple factors or modifying genes are responsible for the results of selection. In specific cases, the existence of definite modifying genes has been demonstrated by Dexter, Bridges, Muller and Altenburg, and the author. All other data hi question fit hi with the view that selection ordinarily acts only by isolating modifiers. Modification of factors by selection, crossing, fractionation, or similar means is undemonstrated in any given case, and has been shown not to occur hi other cases that are typical of the results usually obtained. Factors do change, and more than two forms are possible for certain loci; but there is no known method of inducing such changes^ and they are ordinarily quite rare and definite. SUMMARY. (1) Dichset is a dominant character, the gene being lethal when homozygous (yellow-mouse case). The gene is in the third chromo- some. (2) Dichset flies are more variable in bristle number than are not- Dichaets. This variability is partly environmental, partly genetic. (3) Selection was effective in isolating both plus and minus Dichaet lines. (4) A cross between two separate inbred plus lines gave no increase in variability and no increase in parent-offspring correlation. There- fore the two lines were presumably of very similar constitution, though independent in origin. (5) A cross between an inbred plus line and an inbred minus line gave the results characteristic of such crosses — increased variability in F2 and increased parent-offspring correlation. (6) Linkage tests demonstrated that modifying genes exist in the selected lines. Several lines were shown to differ in one or more sec- ond-chromosome modifiers, and at least one of these modifiers was shown to cross over from the speck gene. 52 AN ANALYSIS OF THE EFFECT OF SELECTION. (7) In one case at least one third-chromosome modifier was shown to exist and to cross over from Dichaet, which must lie to the left of it. (8) Two third-chromosome lethals were obtained. These were shown to be new mutations, not due to fractionation of the Dichset gene. (9) A new allelomorph of Dichset, called Extended, appeared in a plus selected line. It is argued that this mutation was not due to fractionation of the Dichset gene, and was not influenced by the selec- tion that was carried on. (10) Another character, somatically indistinguishable from Ex- tended, was shown to be due to a recessive second-chromosome gene. (11) A study of unselected Dichaets, and of the not-Dichsets pro- duced by long-continued mating together of Dichsets, is shown to fur- nish evidence against the view that allelomorphs are contaminated in heterozygotes. (12) A general discussion of the selection problem is divided into three parts: (a) an attempt is made to clear up certain current mis- understandings and disagreements as to what questions are really at issue; (6) cases cited as evidence for contamination of allelomorphs are discussed in detail, and the conclusion is drawn that contamina- tion is unproved and is an unnecessary hypothesis, with some direct evidence against it; (c) certain specific objections are raised to argu- ments made by Castle on the basis of his experiments with hooded rats. BIBLIOGRAPHY. BATESON, W. 1909. Mendel's principles of heredity. 2d impression, Cambridge. 1914. Address of the president of the British Association. Science, n. s., 40. BRIDGES, C. B. 1915. A linkage variation in Drosophila. Jour. Exper. Zool., 19. 1916. Non-disjunction as proof of the chromosome theory of heredity. Genetics, 1. CALKINS, G. N., and L. H. GREGORY. 1913. Variations in the progeny of a single ex-conjugant of Paramecium caudatum. Jour. Exper. Zool., 15. CASTLE, W. E. 1906. The origin of a polydactylous race of guinea-pigs. Carnegie Inst. Wash. Pub. 49. 1911. Heredity in relation to evolution and animal breeding. New York. 1914a. Multiple factors in heredity. Science, 39. 19146. Variation and selection; a reply. Zeitschr. Abst. Vererb., 12. 1916a. New light on blending and Mendelian inheritance. Amer. Nat., 50. 19166. Genetics and eugenics. Cambridge, Mass. 1916c. Report in Carnegie Inst. Wash. Year Book No. 15. 1916d. Can selection cause genetic change? Amer. Nat., 50. 1917. Piebald rats and multiple factors. Amer. Nat., 51. and A. FORBES. 1906. Heredity of hair-length in guinea-pigs and its bearing on the theory of pure gametes. Carnegie Inst. Wash. Pub. 49. and P. B. HADLEY. 1915o. The English rabbit and the question of Mendelian unit-character constancy. Amer. Nat., 49. 19156. Same. Proc. Nat. Acad. Sci., 1. and J. C. PHILLIPS. 1914. Piebald rats and selection. Carnegie Inst. Wash. Pub. 195. — and S. WRIGHT. 1916. Studies of inheritance in guinea-pigs and rats. Carnegie Inst. Wash. Pub. 241. DEXTER, J. S. 1914. The analysis of a case of continuous variation in Drosophila by a study of ita linkage relations. Amer. Nat., 48. EMERSON, R. A. 1917. Genetical studies of variegated pericarp in maize. Genetics, 2. HAYES, H. K. 1917. Inheritance of a mosaic pericarp pattern color of maize. Genetics, 2. HOSHINO, Y. 1915. On the inheritance of the flowering time in peas and rice. Journ. Coll. Agr. Tohoku Imper. Univ., Sapporo, Japan, 6. JENNINGS, H. S. 1916. Heredity, variation, and the results of selection in uniparental reproduction in Diffltigia corona. Genetics, 1. JOHANNSEN, W. 1903. Ueber Erblichkeit in Populationen und in reinen Linien. Jena. LITTLE, C. C. 1915. The inheritance of black-eyed white spotting in mice. Amer. Nat., 49. LUTZ, F. E. 1911. Experiments with Drosophila ampelophila concerning evolution. Carnegie Inst. Wash. Pub. 143. MAcCuRDY, H., and W. E. CASTLE. 1907. Selection and cross-breeding in relation to the inheritance of coat-pigments and coat-patterns in rats and guinea-pigs. Carnegie Inst. Wash. Pub. 70. 53 54 BIBLIOGRAPHY. MACDOWELL, E. C. 1915. Bristle inheritance in DrosophUa. I. Extra bristles. Jour. Exper. Zool., 19. 1916. Piebald rats and multiple factors. Amer. Nat., 50. 1917. Bristle inheritance in Drosophila. II. Selection. Jour. Exper. Zool., 23. MARSHALL, W. W., and H. J. MULLER. 1917. The effect of long-continued heterozygosis on a variable character in Droso- phila. Jour. Exper. Zool., 22. MIDDLETON, A. R. 1915. Heritable variations and the results of selection in the fission rate of Stylonychia pustulata. Jour. Exper. Zool., 19. MORGAN, T. H., A. H. STURTEVANT, H. J. MULLER, and C. B. BRIDGES. 1915. The mechanism of Mendelian heredity. New York. MULLER, H. J. 1914o. The bearing of the selection experiments of Castle and Phillips on the variability of genes. Amer. Nat., 48. 19146. A gene for the fourth chromosome of Drosophila. Jour. Exper. Zool., 17. 1916. The mechanism of crossing over. Amer. Nat., 50. 1917. An Oenothera-like case in Drosophila. Proc. Nat. Acad. Sci., 3. PEARSON, K. 1911. On the probability that two independent distributions of frequency are really samples from the same population. Biometrika, 8. SPILLMAN, W. J. 1907. Inheritance of the belt in Hampshire swine. Science, n. s., 26. STURTEVANT, A. H. 1912. A critical examination of recent studies on color inheritance in horses. Journ. Genet., 2. DETAILED DATA. TABLE 25. — INBRED PLUS SERIES. 864 LINE. Genera- tion and culture No. Parents. 1 2 3 4 5 6 7 8 | Grade. Cul- ture. 9 - 9 - 9 c? 9 c? 9 c? 9 * 9 e? 9 c? 9 0* FI 893 F2 902 903 F3 926 F, 1006 1013 FB 1064 1081 1084 F, H53 6 1170 1191 F, 1239 7 1277 1287 1298 1299 1309 1318 1322 F8 1384 1390 1406 1420 1421 1422 1430 1431 1444 1459 1478 F'!SJ 1613 1629 1090 F10 1663 10 1763 1810 Fn 1887 1890 1944 1963 1982 Fio 2013 12 2027 2028 2029 2060 2061 2062 2087 2098 2105 2115 2123 21422 6 7 7 6 6 6 6 6 6 6 6 6 ft 6 6 6 6 6 6 6 6 6 6 7 6 6 6 a 6 e a 7 7 6 6 6 7 a 'a 6 6 a a 6 a 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 a. 6 6 6 6 a 6 6 6 7 6 6 6 6 G I 6 6 6 G 6 6 6 a 6 6 6 6 6 6 6 6 a 6 6 6 6 6 6 864 893 893 903 926 926 1006 1013 1013 1064 1081 1081 1153 1170 1191 1170 1170 1170 1191 1170 1239 1277 1277 1298 1298 1299 1287 1309 1287 1287 1298 1390 1421 1459 1444 1478 1511 1613 1613 1763 1763 1810 1810 1810 1887 1887 1890 1890 1887 1890 1890 1887 1944 1887 1944 1963 1887 MO 107 lfifi MO 113 4 5 5 a 7 7 20 26 8 7 a 17 6 18 27 ' '4 17 17 32 17 28 10 7 17 14 28 12 21 9 7 51 70 73 108 152 48 26 75 12 21 87 17 92 68 124 33 69 60 47 22 25 24 22 95 92 60 21 27 13 60 15 55 53 10 21 11 37 111 57 58 65 29 23 95 47 34 78 70 65 7 50 30 71 25 15 44 1 1 1 2 19 25 7 23 24 a 1 ... 9 5 21 1 11 4 20 fi ... ... "a 14 28 1 4 20 4 19 2 17 a 16 9 17 4 4 13 7 3 1 4 4 16 11 10 G a 16 3 10 13 20 3 14 11 12 9 4 I 14 6 6 a 3 10 2 6 ] 5 6 17 10 6 14 I 6 12 3 C) 16 9 16 1 7 21 3 16 16 22 14 16 12 a 7 2 6 a 21 38 17 3 12 6 19 5 19 19 a 7 3 4 18 24 14 16 4 6 20 17 18 17 12 17 7 21 7 16 18 18 12 19 12 12 8 7 a 4 14 35 22 4 9 7 17 4 16 24 3 7 1 14 15 11 16 5 5 5 11 25 12 18 20 12 g 1 I I 1 ... ... "i 10 8 6 6 1 5 1 1 "2 "i 3 4 1 13 1 3 a i 2 16 1 2 ... ... i i . *••• ... 5 1 7 f 3 m 1 3 1 2 i 1 i 8 4 20 2 4 4 4 14 4 1 a a 16 18 8 9 14 1 2 11 ' i 1 1 3 2 2 2 a 14 | 1 1 1 1 8 10 .a 4 1 4 8 6 4 i 4 4 a 1 13 a 11 11 ] 9 r i i 1 4 13 1 10 1 9 1 11 15 11 4 4 ..* 1 1 I 2 | 19 17 Offspring not separated for sex. *2d brood of 2087. 55 56 AN ANALYSIS OF THE EFFECT OF SELECTION. TABLE 25. — INBRED PLUS SEMES. 864 LINE— Continued. Genera- tion and culture No. Parents. 1 2 3 4 5 6 7 8 1 Grade Cul- ture. 9 0" 9 tf 9 rf1 9 d" 9 c? 9 cf 9 cf 9 c? V cf F1S 2132 " 2144 2146 2167 2180 2219 2221 2241 F14 2248 2293 2304 2356 2362 7 7 0 7 6 7 6 6 f, 7 8 6 7 7 7 7 6 6 6 7 7 G 8 7 7 7 2013 2027 2013 2060 2062 2098 2105 2029 2132 2167 2180 2219 2241 1 2 7 G 8 3 6 8 3 6 2 8 1 r, 19 23 20 21 16 12 14 27 14 I2fi 8 25 17 31 13 10 2 14 25 9 3 4 2 1 2 5 4 6 *1 2 2 i 2 2 3 15 64 53 72 44 50 18 37 60 38 28 31 18 ? ? 1 1 2 1 1 3 7 3 1 1 ij 3 1 8 1 2 »i 1 2 4 9 8 12 6 1The original record sheet for 2304 has been lost, and the sexes are not noted separately on the copy from which this count is taken. TABLE 26.— INBRED PLUS SERIES. 1002 LINE. Genera- tion and culture No. Parents. 1 2 3 4 5 6 7 8 H Grade. Cul- ture. 9 d1 9 c? 9 c? 9 rf 9 d1 9 r 16 22 38 35 17 31 23 34 40 31 28 27 8 17 13 21 45 22 8 31 17 30 34 28 45 23 9 15 1 1 1 2 2 8 1 1 2 '3 1 3 1 'i 2i 53 58 97 198 64 172 47 107 120 111 87 98 23 47 1 2 c 9 8 6 4 6 10 5 1 3 10 2 'Unselected, or from inbred plus series. This is probably the original extended mutant. Not included in totals. AN ANALYSIS OF THE EFFECT OF SELECTION. 59 TABLE 28. — CROSSBRED PLUS SERIES — Continued. Genera- tion and culture No. Mother. Father. 1 2 3 4 5 6 7 8 I Grade. Culture. Grade. Culture. 9 c? 9 d1 9 * 9 rf 9 tf 9 d" 9 c? 9 tf F6 H29 1130 1131 1146 1151 1171 1187 1188 1190 1196 1197 1204 1227 F7 H98 7 1203 1253 1254 1262 1269 1271 1284 1285 1293 1304 1324 1325 1326 1333 1345 1353 13052 F8 1334 8 1346 1351 1356 1357 1359 1360 1372 1373 13802 1425 1426 1427 1428 1429 1458 F9 1457 1492 1496 1497 1501 1538 1541 1612 F10 1581 1 1599 1709 1758 6 6 6 7 6 7 7 7 7 7 6 7 6 7 7 7 7 6 7 6 7 7 7 6 7 7 7 7 7 7 NotD' 8 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 1045 1074 1074 1074 10721 1099 1090 1101 1101 1100 1115 1116 1101 1101 1130 1146 1129 1151 1171 1190 1188 1171 1190 1151 1204 1171 1171 1227 1227 1204 1197 1227 1203 1196 1253 1253 1203 1203 1254 1196 1262 1271 1293 1285 1262 1269 1345 1334 1334 1359 1326 1356 1356 1326 1428 1457 1492 1458 1612 6 6 7 6 6 7 7 7 7 7 6 8 6 6 7 6 6 6 6 7 7 7 6 7 7 6 6 6 6 7 8 7 6 6 7 6 6 7 6 7 8 7 7 7 7 8 7 7 7 7 7 6 7 7 7 7 8 7 8 1074 1045 1041 1074 1081 l 1090 1100 1100 1090 1100 10811 1090 1115 1131 1099 1131 1115 1144 1129 1131 1171 1190 1151 1187 1171 1227 1190 1188 1190 1227 1090 1203 1204 1203 1227 1203 1204 1227 1204 1254 1090 1304 1304 1284 1293 1293 1285 1345 1351 1346 1356 1333 1359 1357 1426 1373 1373 1538 1538 •- .* 2 3 2 •4 1 1 3 13 11 14 2 4 14 15 13 1 11 1 10 10 4 8 49 25 25 If If 21. 14 48 r.o 20 19 40 03 20 1 52 24 25 9 17 28 11 25 43 12 14 25 53 23 fi 1 1 r> 0 'i i 5 2 3 2 2 i i 3 1 3 ] 4 1 1 1 i 134 83 80 32 53 60 30 96 134 50 45 102 132 75 13 78 16 58 45 20 67 54 77 57 82 62 75 35 100 92 43 148 87 12 20 57 44 12 28 44 57 124 34 66 7 71 73 39 8 160 13 31 40 20 85 42 127 28 39 1 f 1 8 15 1 1 8 1 1 i 1 6 1 I 6 17 2 10 1 5 •2 •• :, 2 4 ] 8 1 3 9i 1 5 22 8 24 21 8 25 20 35 13 29 28 40 14 39 38 10 41 32 t 6 18 17 6 1 19 6 39 12 29 4 29 28 14 4 24 t 21 1 8 23 19 24 11 23 20 18 20 34 33 9 42 22 6 9 21 16 8 6 17 8 33 15 10 1 27 87 18 1 4 5 2 1 3 2 i 2 i i 3 *2 1 1 '3 *2 4 2 2 2 3 1 1 2 1 1 1 1 1 4 i i i i 8 1 1 2 i 6 5 S a 8 8 7 7 11 6 3 3 3 9 8 I 2 8 8 4 6 1 2 6 2 .. '.. i 4 6 5 * 1 9 1 6 17 7 7 2 8 11 6 9 7 8 17 11 7 8 6 17 9 •• 'i •• 1 •• "i "4 5 ft I 1 1 *6 ^ 9 6 4 6 3 2 1 i 4 4 2 i '2 2 12 14 15 6 ft 19 1 i 9 13 2 3 •I 3 2 2 8 2 1 2 1 18 0 24 2 16 7 48 5 12 IB 9 41 18 39 10 22 44 2 14 10 0 23 21 47 13 11 7 I 2 3 2 4 3 3 1 2 1 2 2 2 3 1 1 1 'i i i i i e 2 2 1 1 i 15 1 14 •• i 1 2 ^nselected, or from inbred plus series. 2The d71 in these cultures also was the father of 1204. 1305 is not included in the totals. 60 AN ANALYSIS OF THE EFFECT OF SELECTION. TABLE 29. — INBRED MINUS SERIES. 900 LINE. Genera- tion and culture No. Parents. 1 2 3 4 5 6 7 8 1 Grade. Cul- ture. 9 a1 9 c? 9 0^ 9 14 11 23 5 G 19 14 6 19 IS 5 •2 15 14 9 13 12 19 16 s 4 5 1 is 1 11 3 3 1 "a i 2 i i 1 i i i 2 3 1 3 1 7 4 4 11 5 5 11 8 4 7 6 2 5 1 4 1 8 11 5 10 8 9 8 3 1 2 3 ill :: 1 4 3 4 3 2 ... 1 3 i AN ANALYSIS OF THE EFFECT OF SELECTION. 61 TABLE 30. — INBRED MINUS SERIES. 868 LINE. Genera- tion and culture No. Parents. 1 2 3 4 5 6 7 8 1 Gra 9 de. ~c? 4 2 4 4 4 2 3 3 4 Cul- ture. 9 ae -> 1? 11 7 6 -, 1" 1 56 1737 | Sp Sp ' ? Sp Sp J Not-sp 1 1 8 10 A 5 .) 35 1937 < 4 1737 \Sp i 4 10 3 S 4 1 26 f Sp Sp /Not-sp 5 20 ft 5 4 1 41 1970 < 6 1737 \Sp 1 9 s 7 «} 1 26 864. Inbred F lu. L IK , Sp Sp 1921 | 6 864 1763 1 ^ o f| 1 1 1 "i in 45 Sp Sp / Not-sp 4 8 1 7 r, ft 3 35 2023 6 1921 \Sp ft 14 1 ?! 1 ? 26 Sp Sp /Not-sp 1 4 ft 7 3 ft ft 32 6 1921 \Sp 1 , 9 ft 1 1 1 1 23 Sp Sp f Not-sp 7, 1 3 6 3 15 6 1921 \Sp 7 1 7 1 6 Sp Sp ( Not-sp 7 4 4 17 Is 45 2175 5 2023 \Sp 12 7 s 7 ^ 32 •• 6 1921 /Not-sp 9 5 s ft 7 30 Sp 6 Sp 192i \Sp f Not-sp 1 •• 4 1 4 7 2 0 2 1 3 5 4 16 20 Sp Sp ISp [ Not-sp not-ro 3 4 5 ? 2 1 5 4 3 7 6 9 2 6 2 6 3 10 s 5 1 5 1 2 9 4 5 2 1 2 1 7 1 2 3 1 6 ? • ' 33 40 23 27 30 13 26 18 f 6 1002 2415 ? p, 1? 11 22 •>.r) 1 76 2433 | 1331 2414 1331 2431 Not-sp B [ 0 7 j 27 2481 { 6 5 Sn Sp 2433 2433 Sp Not-sp1 Sp i 3 2 4 o 8 4 4 10 c 4 2 8 g 1 6 n ir 2 4 24 »40 33 f 6 2433 Not-sp i 1 /| 1° 0 14 49 2488 { 1331 2432 Sp1 i 1 in I 3 4 1 133 r 5 2471 Not-sp ifi 13 ft 1° 7 1 47 2516 | 1331 2432 Sn j ^ 4 c \ 31 f Sn sc 1331 2414 0 '\K> in 11 14 4 1 61 2436 | 6 1002 2415 r So Sp Not-sp () in r 21 2480 | 3 2436 Sp 2 6 g 24751 I 4 Sp 'Sp 2436 2436 Not-sp Sp Not-sp 4 1 2 1 6 4 r 1 4 3 I f r 14 17 35 25181 < 2476 | Sp 5 Sp Sp Sp 2436 Sp Not-sp Sp < f 1 4 13 8 9 14 12 1 ] 37 22 21 2519 \ 2607 < 5 Sp Sp 6 'Sp Sp 1002 2436 2548 Not-sp \Sp , 3 * 5 9 f 1C 1! 18 14 8 1C 35 28 39 2669 < 2698 SP 5 Sp 6 Sp Sp 'Sp Sp 2607 2607 'Not-sp Sp /Not-sp \Sp f Not-sp 1 "2 4 ' -a i: 1 13 1" LI j i; 12 1 1 1 34 28 32 32 17 2699 | 6 2607 Sp ( |. 25 2711 Sp 6 Sp 2607 /Not-sp \Sp ; If ]• u 27 25 6 2607 /Not-sp , . ! K J' oe 2682 Sp Sp \Sp . 28 2665 2789* 2803* 5 Spro Sp 5 Spro Sp 5 Sp ro Sp 1331 133i 1331 Sp 2607 2596 2669 2663 2711 2663 f Not-sp not-ro 1 Not-sp ro . . . 1 Sp not-ro ISp to J Sp not-ro \Sp ro f Sp not-ro \Sp ro : j | | ( i i: •! I 23 29 19 32 21 49 13 16 12 6 1002 2570 2690 Spro 5 1331 2601 2633 /Not-sp \Sp . . . 2 10 4 17 13 2704 Sp 6 Sp 2633 /Not-sp |Sp 2 9 22 13 2811 5 Spro 1331 2704 2663 [Not-sp not-ro 1 Not-sp ro . . . 1 Sp not-ro f 1C f | 18 34 15 (Sp ro 1C 23 '2475 and 2518 are two broods from same parents. 2 2789 and 2803 had the same male parent. O 1 7 .0 UNIVERSITY OF CALIFORNIA LIBRARY Los Angeles This book is DUE on the last date stamped below. pa I WK from Form L9-50m-ll,'50 (2554)444 A 000346966 5 UNIVERSITY r f CALIFORNIA a oELES LIBRARY