ENZYME VARIABILITY IN NATURAL POPULATIONS OF DAPHNIA MAGNA 11. GENOTYPIC FREQUENCIES IN PERMANENT POPULATIONS PAUL D. N. HEBERT School of Biological Sciences, University of Sydney, Sydney, Australia Manuscript received October 25, 1973 Revised copy received January 7, 1974 ABSTRACT In permanent habitats populations of the cyclical parthenogen, Daphnia magna, reproduce by continued parthenogenesis and are subject to only sporadic sexual recruitment. The genetic effects of this breeding system have been investigated by analyzing allozyme frequencies in thirteen populations of D. magna.-Genotypic frequencies at polymorphic loci characteristically deviated markedly from Hardy-Weinberg proportions and gametic phase imbalance between loci was frequent. Genotypic frequencies were subject to violent, selectively determined oscillations over short periods of time. These observations suggest that permanent populations of D. magna ordinarily consist of a limited number of highly structured genotypes. The adaptational advantages offered by such structuring may have been a major selective factor favoring the evolution of cyclical Parthenogenesis. CYCLICAL parthenogenesis has evolved among numerous invertebrate groups including trematodes, rotifers, cladoceran crustaceans, and several insect families such as the aphids (SUOMALAINEN 1950). Its adaptive significance has generally been related to the doubling of the intrinsic rate of increase which occurs during parthenogenesis and the selective importance of such an increase in organisms inhabiting ephemeral environments where r selection will be stringent (WEISMANN 1904; MAYR1963). The validity of this hypothesis has not been critically examined. There has been no demonstration of a correlation between environmental instability and the incidence of cyclical parthenogens. Indeed, in very ephemeral habitats cyclical parthenogenesis would seem disadvantagous because of the necessity to complete at least two generations before a reproductive cycle is finished. It may be for this reason that cladocerans are largely supplanted by sexually reproducing copepod and phyllopod crustaceans in ephemeral fresh water habitats. Moreover those cladocerans, such as Daphnia middendor#iam, which successfully inhabit ephemeral environments, have often 1955). The assumption that abandoned cyclical parthenogencsis (EDMONSTON cyclical parthenogens are subject to stringent r selection also appears somewhat dubious. Ecological analysis has demonstrated that population growth in these animals often shows signs of being resource-limited (ALLAN1973; HALL1964; 1965). KEEN1973; TAPPA Genetics 77:323-334 June, 1974 324 P. D. N. HEBERT The importance of genetic factors in the evolution of cyclical parthenogenesis has been given little consideration. The prevalence of breeding systems characterized by obligate sexuality has led many geneticists to regard unusual breeding systems as adaptively inferior. Referring to cyclical parthenogenesis, CARSON (1968) suggests that “such downgrading of the sexual mode of reproduction has a dampening effect on all evolutionary processes”. Other geneticists (FISHER 1930; WRIGHT1931, 1960) have, however, pointed out the severe constraints which sexual reproduction imposes on the organization and utilization of genotypic variability. Under sexual reproduction allelic variation must be in HardyWeinberg proportions and variation at different loci must generally be in equilibrium. As a result only the additive component of the total variance in fitness can be exploited, whereas during asexual reproduction the dominance and interaction components can be utilized as well. In varying environments, parthenogenesis has the additional advantage of allowing more rapid res-prise to changing selection pressures than does sexual reproduction, as favored genotypes under sexual reproduction will generate progeny of other genotypes. In purely parthenogenetic species the major obstacle in making use of these advantages rests in the difficulty of constructing the necessary genotypes (MULLER1932; CROWand KIMURA1965). Populations of cyclical parthenogens are, however, subject to sexual recruitment. This factor would seem to be of the utmost importance, f o r populations will be able to synthesize a wide variety of genotypes by sexual reproduction and well-adapted genotypes can be multiplied by parthenogenesis regardless of their structural complexity. In summary it is possible that cyclical parthenogenesis enables more sophisticated manipulation of genetic variation than does obligate sexuality and if so the evolution of cyclical parthenogenesis could well be related to these advantages. Daphnia magna, a cladoceran crustacean, provides a unique opportunity to investigate the genetic effects of both short-term and protracted parthenogenesis. In temporary habitats, that is in ponds which are filled with water for only a part of the year, populations are reestablished each year from sexual eggs and reproduce parthenogenetically for two or at most three generations. In permanent habitats, however, populations reproduce by continued parthenogenesis for long periods and are subject to only sporadic sexual recruitment. The sizes of the permanent populations studied varied both seasonally and from one habitat to another, but many thousands of individuals were normally present. Minimum population densities usually occurred during late winter and maximum densities developed during late May or June. Periods of high population density were occasionally followed by a precipitous decline in population size, apparently due to starvation of the population. More frequently, however, a large population was maintained which reproduced little and existed under conditions of strong intraspecific competition. Equilibrium populations, such as these, ordinarily became smaller during the late autumn and in most habitats population size wzs subject to the annual fluctuations described. Sexual reproduction invariably accompanied the period of high population density in late spring and occasionally occurred in the late autumn as well E N Z Y M E VARIABILITY IN D A P H N I A 325 (BANTAand BROWN1929; STROSS and HILL1965),but at no time were parthenogenetically reproducing individuals completely absent from a population. During the periods of sexual reproduction large numbers of sexual eggs were produced (1966) has shown that which ordinarily sank to the bottom of the ponds. STROSS an inhibitor must be destroyed by oxidation before the development of sexual eggs can begin. In many of the deeper permanent habitats, it seemed probable that the sexual eggs were ordinarily unable to hatch due to the reducing conditions which were present at the bottom of the ponds. However, not all of the sexual eggs were subjected to such unfavorable conditions. Many of the ponds fluctuated in size and eggs which were deposited along the perimeter in the spring were dried and subsequently resubmerged when the ponds refilled in the late autumn. These eggs as well as the eggs which happened to come to rest in a non-reducing environment within the ponds should develop. In summary, the populations of D.magna in permanent habitats reproduce parthenogenetically for long periods of time, but these parthenogenetic populations are subject to a certain if variable amount of sexual recruitment. The present study has been directed largely toward analyzing the effects of this long-continued parthenogenesis on the genetic variability present within populations, but some ini'ormation has also been obtained on the amount and nature of sexual recruitment in these habitats. A companion paper deals with similar aspects in the intermittent populations which occur in temporary habitats. MATERIALS A N D M E T H O D S The populations of D.magna analyzed were located within a 50-mile radius of Cambridge, England. A population is considered to be the Duphniu present within a single pond. Populations are named after the nearest town. Where several populations are situated in close proximity they have the same site name but a different number, e.g. Upware-1 and Upware-2. The precise localities of the populations and sampling techniques have been described previously (HEBERT 1974a). Electrophoresis was performed on polyacrylamide gels. DetaiIed methodology and a characterization of the electrophoretic variants have also been described (HEBERTand WARD1972). Genotypic frequencies have been determined by analysis of female individuals only. RESULTS Genotypic frequencies: Nine of the permanent populations were analyzed on only a single occasion. In four of the nine populations polymorphic for malate dehydrogenase, marked deviations from H.-W. proportions were observed (Table 1) . These deviations were not the result of a consistent deficiency of any one genotypic class. In the Past Bourn, Rookery Farm, and Stow Longa-2 populations large heterozygote excesses were observed. In contrast, heterozygotes were absent in the Winston Church population, which consisted entirely of individuals homozygous for either the M or I; allele of MDH. Significant deviations from H.-W. proportions were observed in three of the eight populations polymorphic for EST-I (Table 1). An excess of heterozygous individuals was evident in the Wicken and Upware Farm populations, but heterozygotes were completely absent from the Winston Church population. 326 P. D. N. HEBERT TABLE 1 Genotypic frequencies in permanent populations+ Location and sample date Barham 4/21/72 Boundary Farm 5/6/72 Cretingham 6/1/72 Past Bourn 10/25/71 Rookery Farm 5/6/72 Stow Longa-2 4/21/72 Upware Farm-2 4/16/72 Wicken 4/ 16/72 Winston Church 5/6/79 n 144 96 144 112 144 80 96** 120 160* 96 120* 120 140 142'* 132 106** 96** 96** ss SM MM MF 98 .02 .29 .71 .01 .79 .I8 .64 .4s .96 .43 .01 1.00 .03 .35 .45 SF .84 .03 .I5 .Ol .35 .09 .03 .66 .34 .52 .53 .w .39 .43 .92 .45 .03 .I7 .15 .42 .46 .46 .04 .I3 .25 .38 .21 .09 .02 FF .os .01 .34 .66 .35 .65 *P<.O2 ** p < .001 f Roman : MDH Italic: EST-I Genotypic frequencies at several loci: When genotypic frequencies at several polymorphic loci in the same population were compared with H.-W. proportions, there appeared to be little correlation in the degree of differentiation at different loci (Table 2). For example, in the Wicken and Upware Farm populations genotypic frequencies at the EST-I locus deviated markedly from H.-W. proportions, while at the MDH locus genotypic frequencies were in close agreement with H.-W. expectations. The highly significant deviations at both the EST-I and the MDH loci which were observed in the Winston Church population were unique. Moreover, the similarity of gene frequencies and the absence of heterozygotes TABLE 2 Fit to Hardy- Weinberg proportions of genotypic frequencies in eight permanent populations MDH EST-I > .80 > .80 P > .05 P > .40 P < .02 P < .Of P > .30 p < ,001 > .IO p > .IO P > .30 P < .Qo1 P > .50 P>.60 P < ,001 P< Location Barham Boundary Farm G-etingham Upware Farm Rookery Farm Stow Longa-2 Wicken Winston Church p P p TO p < .001 P > .40 327 ENZYME VARIABILITY I N DAPHNIA at both loci in this population suggested some simple explanation. When single individuals from Winston Church were analyzed for both enzymes it was found that there was complete gametic phase imbalance between the two loci. Individuals homozygous for the M allele of MDH were invariably homozygous for the S allele of EST-I, while the individuals homozygous for the F allele of EST-I were also homozygous for the F allele of MDH. Since D.magna has a chromosomal number of 2nz2.F (MORTIMER 1936) it is unlikely that the EST-I and MDH loci are on the same chromosome. Temporal analysis of genotypic frequencies: Four of the permanent populations were analyzed on several occasions to investigate the temporal stability of genotypic frequencies. Longstowe: The Longstowe population was polymorphic for the S and M alleles of MDH (Table 3). The SS genotype was not observed in any of the samples, but drastic changes in the frequencies of the MM and SM genotypes occurred during the six-month period in which the population was analyzed. The frequency of the SM heterozygote increased from .I5 in April of 1971 to .58 by June and then declined rapidly to a frequency of .22 by August. Due to the fluctuations in the frequency of the SM heterozygote, genotypic frequencies in some samples were in close agreement with H.-W. proportions, while in other samples frequencies differed markedly from H.-W. expectations. Hatley Hill: When first analyzed in early 1971, the population at Hatley Hill consisted entirely of individuals which phenotypically resembled the MF heteroTABLE 3 MDH genotypic frequencies Date 4/20/7 1 5/17/71 6/15/71 7/ 7/71 8/26/71 10/25/71 Date 2/24/71 6/14/71 9/13/71 10/20/71 11/29/7 1 1/13/72 3/14/72 5/19/72 * p < .01 ** p < .OQI n ss 72 120' 126** 96* 120 48 n %** 120** 72** 96** 96' * 72 * SM MM .15 .85 .60 .42 .55 .78 .79 .40 .5 8 .a .22 .21 MM 88** 72' * Longstowe .01 .26 2.3 .33 .I9 .35 .# Hatley Hill MF 1.cM) .99 .74 .77 .67 .81 .65 .51 FF 328 P. D. N. HEBERT zygote of MDH. As it was initially suspected that either gene duplication or polyploidy might be involved, sexual eggs were collected from the population. However, when these eggs were hatched, it was found that segregation occurred and genotypic frequencies were in close agreement with those expected, assuming the individuals at Hatley Hill were all heterozygotes. A single M M homozygote was detected in the June 1971 sample, and when the population was re-analyzed in early September, the frequency of the M M homozygote had increased considerably (Table 3). The frequency of the M M genotype remained relatively stable at a value close to .25 throughout the fall and winter of 1971. In the March, 1972 sample the frequency of the MM genotype was higher than in any of the previous samples, and by May its frequency was close to .50. Despite the large increase in the frequency of the M M homozygote during the course of the study, the FF homozygote was not observed in any of the samples. Drastic shifts in genotypic frequencies also occurred at the EST-I locus (Table 4). The frequency of the M M and MF genotypes declined throughout the survey, while the frequency of the SF genotype increased dramatically. The frequencies of the SS and SM genotypes remained relatively stable, while the FF genotype was not observed in any of the samples. Longstowe Field-2: The Longstowe Field habitat was exceptional among the permanent habitats because of its small size and extreme shallowness. In virtually the whole of the pond the water was less than 50 cm. deep and during the summer months the pond contracted in size rather substantially. These factors suggested that the Longstowe Field population might be subject to more sexual recruitment than the other three permanent populations analyzed temporally. The population was polymorphic for the S and M alleles of MDH and gene frequencies at this locus were determined at regular intervals over a one-year period (Table 5). Genotypic frequencies in these samples were on the whole remarkably similar. The M M homozygote was consistently more frequent than the SS homozygote, while the frequency of the SM heterozygote remained close to .50 throughout the year. Genotypic frequencies were not significantly different from H.-W. proportions in any individual sample. However, from May until October of 1971 genotypic frequencies were in rather poor agreement with H.-W. TABLE 4 EST-1 frequencies at Hatley Hill Date 2/24/71 9/13/71 10/20/71 11/29/71 1/13/72 *P<.o5 ** p < .001 n 120** 148* 96* 72** 96** Genotypic frequencies ss SM MM IMF .13 .25 .I8 .08 .15 .42 .35 .49 .41 .34 .I7 21 .21 .2a .06 .a1 .01 .04 .04. .06 FF SR .I3 .li .46 .41 329 ENZYME VARIABILITY IN D A P H N I A TABLE 5 MDH frequencies at Longstowe Field-2 Date 5 / 4/71 6/14/71 7/ 9/71 8/26/71 9/28/71 10/201/71 11/22/71 I / 3/72 2/25/72 3/27/72 5/19/72 n 96 144 146 96 119 120 96 125 119 144 1M ss .23 .I6 .I9 .21 .I9 .23 .20 .18 .20 .24 .24 Genotypic frequencies SM MM .56 .56 .57 .57 .5 7 .56 .53 .50 .53 .48 .21 .2a .24 .22 .24 .21 .27 .32 .27 .28 .52 .24 proportions, and considered as a whole, genotypic frequencies in these samples were markedly different from H.-W. expectations ( xI2 = 12.23, p < .OOl). From November, 1971 until May, 1972 genotypic frequencies were in good agreement with H.-W. proportions in both individual samples, and in the samples taken as a group (xI2= 0.50, p > .40). This was due to a reduction in the frequency of the SM genotype from a value of .57 in the earlier samples to one closer to .50 in the later samples. With the exception, then, of this single minor shift, genotypic frequencies in the Longstowe Field population remained stable throughout the sampling period. Moulton: When first analyzed in 1970 the Moulton population was fixed for heterozygotes at both the MDH and ALK-2 loci (Table 6). The population remained fixed until at least May, 1971 but when the population was reanalyzed four months later homozygotes were present at both loci (Table 6) and each of the four homozygote classes were present at frequency of close to .20. Genotypic frequencies were analyzed at both the ALK-2 and MDH loci at monthly intervals from September of 1971 until June of 1972. During this ninemonth period the frequency of each of the homozygotes declined considerably. The frequency of the MM homozygote of MDH remained close to .20 until February of 1972, but in the following months it declined to a frequency of .04. The frequency of the FF homozygote of MDH declined from .20 in September to .10 by early December, but thereafter its frequency remained relatively stable. The frequency of the SS homozygote of ALK-2 declined to a frequency of .10 by early January and remained near this level for the rest of the study. The frequency of the FF homozygote of ALK-2 declined less rapidly than the frequency of the SS homozygote until March of 1972, but in the following months its frequency declined rapidly. By mid-June the combined homozygote frequencies at each of the loci were less than .15, whereas nine months earlier they had been present at a frequency of approximately .40. As the homozygotes at both the MDH and ALK-2 loci were at an apparent 330 P. D. N. HEBERT TABLE 6 Genotype frequencies at Moulton Date n 5/ 4/70 5 / 6/70 6/ 6/70 6/22/70 3/ 1/71 5/18/71 9/ 9/71 9/27/7 1 10/18/71 11/ 6/71 12/10/71 1/I 0/72 2/21/72 3/24/72 4/29/72 5/26/72 6/23/72 MM 48** 52** 48** 72** 48* * 120** I%** 216' IN** 128,' 144* 168** 120** 96** 120** 120** 120** .18 .I9 .06 .20 .19 .20 .19 .IO .08 .05 .03 MDH MF FF 1.oo 1.00 1.m 1.oo 1.oo 1.oo .65 .61 .72 .67 .71 .75 .70 .87 .82 .88 .91 a1k-2 n SS 56** 48** .17 .20 .22 .13 .IO .05 .11 .03 .10 .07 .06 120** 96 96, 57** 96** 96** 120** 72** 96** loo** 96** 96** .23 .I5 .I4 .I5 .13 .IO .ll .10 .I2 .G9 .09 SF 1.oo 1.oo 1 .oo 58 .67 .72 .68 .72 .77 .78 .76 .81 .86 .87 FF .19 .I8 .14 .I7 .I5 .13 .11 .14 .07 .05 .W * < .01 ** p < .001 selective disadvantage, it was of interest to investigate whether the frequency of individuals homozygous at both loci declined more rapidly than the frequency of individuals homozygous at one locus and heterozygous at the other. When individuals in the late September sample were analyzed for both ALK-2 and M D H it was found that the frequency of double homozygotes was approximately onehalf the frequency of homozygotes at one locus (Table 7 ) . As this ratio did not change appreciably in the later samples, it can be concluded that the double homozygotes were not subjected to more stringent selection than the homozygotes at a single locus. DISCUSSION Investigation of the population structure of Daphnia magna has suggested that populations are founded from a single or at most a few individuals (HEBERT TABLE 7 Indiuiduals homozygous at either one or both of the MDH and ALK-2 loci al Moulton ~ ~~~ ~ Date Double homozygotes Single homozygotes Ratio 9/27/71 11/ 9/71 1/10/72 3/24/72 11 20 12 8 19 43 30 17 .58 .47 .40 .47 ENZYME VARIABILITY IN DAPHNIA 33 1 1974a). It might be suggested that the Hardy-Weinberg disturbances characteristic of permanent populations result from this factor coupled with an absence of sexual recruitment. The clearest evidence against this viewpoint was obtained at Moulton. The appearance within this population of homozygotes at the MDH and ALK-2 loci at frequencies close to .20 in September of 1971 undoubtedly resulted from a massive emergence of sexual eggs. Assuming a IAA : 2Aa : laa ratio of genotypes among these sexual recruits, then the Moulton parthenogenetic population must have been swamped by a hatch of ephippial individuals four times as numerous as itself. The rapid decline in homozygote frequencies at both loci during the following nine months indicated either strong selection against the enzyme homozygotes or alternatively strong selection against sexual recruits. The latter argument was favored by data which indicated that individuals homozygous at both enzyme loci did not decline in frequency more rapidly than individuals homozygous at one locus and heterozygous at the other. The sexual recruits were apparently competing unsuccessfully with a highly structured genotype whose genome was characterized by heterozygosity at the MDH and ALK-2 loci. Clear evidence of sexual recruitment was not obtained in any of the other populations, but large changes in genotypic frequencies were observed. I n the Hatley Hill population the MM homozygote of MDH increased in frequency from less than .01 to .49 during a 15-month period, but as an FF homozygote was never encountered, it seems extremely unlikely that this change was the result of emerging sexual eggs. Genotypic frequencies at the EST-I locus in the same population also showed marked changes during the study, and no tendency toward re-establishment of Hardy-Weinberg proportions was detected. Similar fluctuations in genotypic frequeiicies were observed in the Longstowe population. In both cases, populations consisted of many thousands of individuals-so stochastic changes in frequencies can be ruled out. Only in the Longstowe Field population were genotypic frequencies relatively stable. As the Longstowe Field habitat was extremely shallow, large amounts of sexual recruitment may have occurred and been important in the genotypic stability of this population. The present results reinforce those obtained in an earlier study (HEBERT, WARD and GIBSON1972) and suggest that marked instability of genotypic frequencies is in general a characteristic of permanent populations of D. magna. In contrast, genotypic frequencies in intermittent populations of the same species are comparatively stable, and this suggests that the instability of frequencies in permanent populations is related to the continued parthenogenesis in such habitats rather than with selective coefficients of the enzyme variants per se. The explanation of this may lie both with the sources of genetic variability which can be exploited and the types of selective processes which occur during parthenogenesis. CROW(1956) has argued that epistasis will be of extreme importance in clonally reproducing organisms, and has demonstrated that chloramphenicol resistance was achieved in asexual clones of E. coli by the selection of epistatic complexes of genes. WHITE (1970) has speculated that the dominance component may be of more importance, and that heterotic gene complexes will be 332 P. D. N. HEBERT characteristic of parthenogenetic forms. These viewpoints are not mutually exclusive, and in the present study evidence was found for the importance of both factors. The Hardy-Weinberg disturbances in permanent populations were generally associated with heterozygote excesses-clear evidence that heterosis either at the gene or chromosomal level is important. Strong gametic phase imbalance was observed in the Winston Church population, although no evidence was obtained that this imbalance resulted from selective forces acting on epistatic gene complexes. Suggestive evidence was obtained, however, in the Audley End population where it was observed that the intensity of imbalance varied temporally (HEBERT197413). An important consequence of the presence of epistatic interactions affecting fitness is the existence of multiple peaks of equilibrium (WRIGHT1931, 1960). In sexual reproduction selection drives the population to the nearest peak, and movement from one peak to another occurs only through stochastic forces, assuming the adaptive topography is stable. In contrast, populations reproducing by cyclical parthenogenesis are capable of occupying several peaks simultaneously, and can move from one peak to another across recombinational valleys. FORD (1971) has suggested that the landscape model is “dangerously misleading”, and feels that there is no temporal continuity in the selective demands placed on populations. This argument ignores the existence of environmental cycles, but, more importantly. makes the tacit assumption that welldefined adaptive alternatives necessitate environmental stability. In parthenogenetic populations the stability of genotypes suggests that adaptive peaks could be based on relationships between the genotypes themselves. Populations of daphniids might, for example, be subjected to “centrifugal” selection based on some form of competitive exclusion. The rationalization f o r such a model is clear; clones with reduced ecological overlap are more likely to tolerate one another’s presence in a n environment than clones with similar characteristics. In its simplest form where each population is founded from a single individual, the selective process can be envisaged quite clearly. Each newly-founded population would begin at a fitness center and as sexual reproduction generated an array of genotypes, would spread out from this point forming a roughly spheroidal topography. Fitness (G) of the population would be measured by the mean deviation of the points on the topography from the original fitness center, but the Darwinian fitness of any genotype would depend upon maximizing its linear distance from the other points on the topography. Initially, the idealized spheroidal topography would be maintained by interaction between the fitness of each genotype and its €requency. Eventually, however, as the variance in ZZbecame exhausted, the density of points on the sphere would become less and less because of the impossibility of synthesizing large numbers of alternative highly-structured genotypes. In this critical phase, holes in the topography would begin to appear, and as the density of points became further reduced the spheroidal topography would decay into a collection of points widely separated in n-dimensional space. The occurrence of this sort of selective process should in principal be testable, as selection should lead to the development of well-defined alternative genotypes within habitats. The evidence obtained so far is rather contradictory. At Moulton ENZYME VARIABILITY IN D A P H N I A 333 there was good evidence for the selective maintenance of a highly structured genotype, but no evidence for the existence of a number of genetically different clones. The populations at Audley End (HEBERT, manuscript in preparation) and Winston Church showed several well-defined genotypes, but there was no good evidence that the genotypes were the result of selective factors. To decide conclusively whether permanent populations of D.magna ordinarily consist of a limited number of highly structured genotypes, it will be essential both to extend the number of polymorphic systems which can be analyzed and study the populations over long periods of time to determine the selective basis of changes in genotypic frequencies. It is clear from the present study that permanent populations of D. magna regularly undergo large genetic rearrangements. Such changes may indicate the recombinational production of novel genotypes or a readjustment in the frequencies of existing, highly-structured genotypes in response to environmental changes. Regardless of which interpretation is correct, these results suggest that cyclical parthenogenesis enables Daphnia populations to organize genetic variation in ways nut open to sexually-reproducing organisms. Research was carried out at the Department of Genetics, University of Cambridge and I should like to thank PROF.J. M. THODAY and DR. J. B. GIBSONfor their interest in the project. I am particularly grateful to DR. R. D. WARD for many helpful discussions and for his assistance with the collection of material. The support of a Commonwealth Scholarship during the research program and a Rutherford Scholarship ar,d a University of Sydney postdoctoral fellowship during the preparation of the manuscript is gratefully acknowledged. I would like as well to thank PROF.L. C. BIRCH,DR. J. A. 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