Annals of Botany 89: 145±156, 2002 doi:10.1093/aob/mcf020, available online at www.aob.oupjournals.org Barriers to Sexual Reproduction in Polygonum viviparum: A Comparative Developmental Analysis of P. viviparum and P. bistortoides P A M E L A K . D I G G L E * , M A R G A R E T A . M E I X N E R ² , A M Y B . C A R R O L L ³ and CHRISTIE F. ASCHWANDEN§ Department of Environmental, Population and Organismic Biology, University of Colorado, Boulder, CO 80309-0334, USA Received: 18 July 2001 Returned for revision: 12 September 2001 Accepted: 11 October 2001 Polygonum viviparum is widely distributed in arctic and alpine regions of the northern hemisphere. Fruit set has never been observed in North American populations and has been reported only very rarely in Europe. Although this species is extremely well studied, the impediments to successful fruit production are unknown. We investigated the sexual reproductive process in P. viviparum growing in the southern Colorado Rocky Mountains. For comparison, we also examined this process in the sympatric congener P. bistortoides, in which reproduction is exclusively sexual. Lack of viable fruit production in P. viviparum has no single developmental explanation; defects occur in each of the processes and structures associated with sexual reproduction studied, yet, these processes and structures also appear to function normally in at least some ¯owers or individuals. Development is abnormal in many ovules of P. viviparum, however, comparison with P. bistortoides shows that these abnormalities do not contribute to differences in seed production between the two species. The virtual absence of sexual reproduction in P. viviparum appears to be due largely to a low rate of fertilization and to embryo/fruit abortion. ã 2002 Annals of Botany Company Key words: Asexual reproduction, embryo abortion, development, fruit abortion, pollen viability, Polygonaceae, Polygonum viviparum, Polygonum bistortoides, polyploidy, seed abortion, sexual reproduction. INTRODUCTION The majority of ¯owering plants are capable of some form of asexual reproduction by means of a diverse range of structures and mechanisms. Clonal progeny may be produced by stolons, runners, rhizomes, tubers, buds on bulbs, corms and roots, layering of stems, and agamospermous seed (Grant, 1971). Despite the prevalence of asexual mechanisms of propagation, most clonal species also reproduce sexually (Stebbins, 1971; Silander, 1985; Richards, 1997) and exclusively asexual species are rare. Polygonum viviparum L. may be one of the few species that relies solely upon vegetative reproduction throughout much of its range (Fryxell, 1957; Callaghan, 1973; Engell, 1973; Petersen, 1981). Polygonum viviparum L. [= Bistorta vivipara (L.) S. Gray] (Polygonaceae) is widely distributed in both arctic and alpine regions of the northern hemisphere (Petersen, 1981; Law et al., 1983; Callaghan and Emanuelsson, 1985; Bauert, 1993; Wookey et al., 1994). Although most individuals of P. viviparum ¯ower profusely, fruit set has never been observed in alpine populations of North America and has been reported only very rarely in Europe (Bauert, 1993). P. viviparum is a very common and important * For correspondence. Fax 001 303 492 8699, e-mail Pamela. [email protected] ² Present address: 22 Forest Road, Delmar, NY 12054-3039, USA ³ Present address: Boreal Ecology Cooperative Research Unit, University of Alaska, PO Box 756780, Fairbanks, AK 99775-6780, USA § Present address: 111 Bonanza Drive, Nederland, CO 80466, USA component of tundra plant communities and has been the subject of numerous ecological studies (Callaghan, 1973; Petersen, 1981; Bauert, 1993; Crawford et al., 1993; Wookey et al., 1994 and references cited therein), and most workers comment on the lack of seed set. The only published reports of sexual reproduction in P. viviparum include: Porsild and Porsild (1920) in Greenland; SoÈyrinki (1989) in Scandinavia; Bliss (1959) in the subalpine of the Rocky Mountains of Wyoming; Murray and Miller (1982) in interior Alaska; and Bauert (1993) in the central Swiss alps. Sexual reproduction is clearly a rare event in this species. In contrast to the rarity of fruit set by P. viviparum, asexual reproduction occurs readily via the production of bulbils, vegetative axillary buds borne within in¯orescences (Troll, 1937; Engell, 1973; Diggle, 1997). After bulbils are dispersed, they germinate and grow under moist conditions (Callaghan, 1973; Engell, 1973, 1978; Petersen, 1981) and establish new, physiologically independent plants that are genetically identical to the parent. The impediments to successful fruit set in P. viviparum are unknown. Any of the many stages of development of male and female gametophytes, gametes, embryo and endosperm, or the processes of pollination and fertilization, might pose a barrier to sexual production of progeny in this species. Preliminary embryological studies of P. viviparum have been published (Edman, 1929; Schnarf, 1931; Engell, 1973); however, the causes of sterility were not identi®ed. In order to explain the lack of fruit production, we ã 2002 Annals of Botany Company 146 Diggle et al. Ð Sexual Reproduction in Polygonum investigated the sexual reproductive process of P. viviparum growing in the alpine tundra of the southern Colorado Rocky Mountains. Our study focused on ovule and female gametophyte development, pollen viability and early embryo/seed development. For comparison, we also examined these processes in the sympatric congener, P. bistortoides. P. bistortoides is very common at the study site, produces large numbers of seed and has no means of vegetative reproduction. MA TE R IA L S A N D ME T H O D S Study site Study sites were located in the alpine tundra of Niwot Ridge (elevation 3750 m) in the Front Range of the eastern Colorado Rocky Mountains (40°03¢N, 105°35¢W). Niwot Ridge is managed cooperatively by the University of Colorado Mountain Research Station and the United States Forest Service as an ecological reserve and is the site of the Niwot Ridge Long-Term Ecological Research Program. Polygonum viviparum and P. bistortoides were sampled haphazardly in a dry meadow community. Species description Polygonum viviparum is widely distributed in both arctic and alpine regions of the northern hemisphere (Petersen, 1981; Law et al., 1983; Callaghan and Emanuelsson, 1985; Bauert, 1993; Wookey et al., 1994). Within the study area, P. viviparum is common in all plant communities except in areas of very late melting snow (May and Weber, 1982). Polygonum bistortoides Pursh. (= Bistorta bistortoides (Pursh) Small), is sympatric with P. viviparum in the southern Rocky Mountains and is also widely distributed across all alpine communities, including snowbeds (Walker et al., 1995). Both species are herbaceous perennials. The main axis of each is a monopodial unbranched rhizome that grows plagiotropically, with little internode elongation, below the soil surface. Rhizomes mature several preformed leaves and axillary in¯orescences each year (Diggle, 1997; P.K.D., pers. obs.). P. bistortoides is larger than P. viviparum in most respects: rhizomes are longer and of greater diameter; leaves are longer, wider and more numerous; and in¯orescences are taller. The reproductive characters of the two species are very similar. In¯orescences are condensed panicles bearing numerous white ¯owers. Flowers are small, approx. 3 mm in length. The perianth consists of ®ve white tepals [Laubengayer (1937); Ronse Decraene and Akeroyd (1988), review interpretations of the perianth of the polygonaceous ¯ower]. Stamen number is variable and the gynoecium consists of a three-angled, uniovulate ovary with three styles and stigmas. The two species differ in one critical aspect of in¯orescence structure (and consequently, life history): P. viviparum may bear bulbils in the proximal region of the in¯orescence whereas P. bistortoides bears only ¯owers and reproduces exclusively by seed (Mooney, 1963). Both species ¯ower in July and mature fruits of P. bistortoides are dispersed in August. P. viviparum is polyploid with 2n = 96, x = 12 (LoÈve and LoÈve, 1948, 1974, 1975; Wcislo, 1967; Engell, 1973; LoÈve, 1988). P. bistortoides is diploid with 2n = 24 (Mooney, 1963). Ovule and female gametophyte development All ¯oral organs are initiated in the growing season prior to ¯ower maturation. The preformed in¯orescence-bearing ¯oral primordium undergoes dormancy below ground. Development resumes in the spring and the in¯orescence begins to emerge above ground. Sampling of developing in¯orescences began when the tips were ®rst visible above the soil surface (®rst week in July, 1995) and continued until ¯owers reached anthesis. All in¯orescences were ®xed in formalin±acetic acid±alcohol (Berlyn and Miksche, 1976). Flowers and ¯ower buds were sampled from basal positions of the short (two or three ¯owered) branches of the paniculate in¯orescences. The gynoecium was dissected from mature ¯owers and large buds. Small buds were processed whole. Gynoecia and buds were dehydrated to 95% EtOH, embedded in JB4 methacrylate resin, serially sectioned on a Microm microtome at 4 mm, stained with toluidine blue (O'Brien and McCully, 1981) and observed with a Zeiss Axioskop. Pollen viability Mature in¯orescences were collected, placed in sealed microcentrifuge tubes, and transported to the laboratory on ice. In 1992 (year 1), in¯orescences from 150 individuals of P. viviparum were collected. In 1993 (year 2), in¯orescences were collected from 20 P. viviparum and 47 P. bistortoides individuals. All ¯owers were examined within 12 h of collection. The FCR (¯uorochromatic) test (Heslop-Harrison and Heslop-Harrison, 1970; Shivanna et al., 1991) was used to evaluate pollen viability. [See Thomson et al. (1994) and Stone et al. (1995) for discussions of the reliability of FCR as a measure of pollen viability.] The FCR test may give false negative results due to pollen drying (Heslop-Harrison et al., 1984; Shivana and Johri, 1985; Knox et al., 1986; Thomson et al., 1994). To prevent desiccation, ¯owers were kept in the humid atmosphere of the microfuge tubes until the test was performed. Three to ®ve ¯owers per in¯orescence were examined. All anthers were removed from a single ¯ower and were placed on a glass slide. Pollen grains were teased from the anthers with ®ne forceps. Each slide was ¯ooded with a solution of ¯uorecine diacetate (FDA; 0´02 g FDA/10 ml acetone in 2 ml of 10 % sucrose) for 5±10 min. Slides were examined with a Zeiss Axioskop equipped for epi¯uorescence. Bright®eld was used to count all pollen grains present. The same slide was then examined under ultraviolet light. Stainability was calculated as the number of ¯uorescing grains divided by the total number of grains present. The stainability of all ¯owers from the same in¯orescence was averaged, and this mean was used in Diggle et al. Ð Sexual Reproduction in Polygonum 147 F I G . 1. Early ovule development in P. bistortoides (A, C and E) and P. viviparum (B, D and F). A, B, Nucellus surrounded by ovary wall. A megasporocyte is evident in B. C, D, Megasporocyte(s) entering prophase of meiosis I. The inner integument has been initiated. E, F, Megasporocyte(s) in meiosis, the outer integument has been initiated. B, Nucellar beak; ii, inner integument; M, megasporocyte; N, nucellus; O, ovary wall; oi, outer integument. Bars = 25 mm. 148 Diggle et al. Ð Sexual Reproduction in Polygonum F I G . 2. Megaspore formation in P. bistortoides (A, C) and P. viviparum (B, D). A, End of meiosis II. The four spores that will form a tetrad are evident but the last walls have not yet formed. B, Linear tetrad. The chalazal-most spore is on an adjacent section; its position is indicated by the arrow. C, D, The chalazal-most spore (arrows) of each tetrad is functional, the remaining spores degenerate. A hypostase begins to differentiate at the base of the nucellus. Note multiple megaspores in P. bistortoides (C). ii, Inner integument; oi, outer integument; H, hypostase. Bars = 25 mm. subsequent statistical analyses. Pollen stainability was analysed with StatView for Macintosh. Stainability data were arcsine square root transformed prior to analysis. R E SU L T S Pre-fertilization ovule development Ovule development is nearly identical in the two species, and the description that follows applies to both with exceptions as noted. Flowers of both species are uniovulate, and initiation of the ovary and nucellus had already occurred in all material collected. In¯orescence and ¯oral primordia are preformed, and these events probably occur in the year preceding in¯orescence maturation. In the youngest ¯oral primordia sampled, the nucellus was already enclosed by the ovary wall (Fig. 1A, B). The large nucellus has an epidermal layer and one parietal layer. In ovules of both species, the epidermis of the nucellus is often elaborated into an apical `beak' (e.g. Fig. 1C, D, F). The species differ in the number of megasporocytes per nucellus. In P. bistortoides, each nucellus develops one (rarely) to several megasporocytes (Fig. 1C). In P. viviparum there is typically only one megasporocyte per nucellus (Fig. 1D) although occasionally there are two. In both species, as megasporocyte differentiation occurs, the nucellus elongates, and the inner integument of the ovule is initiated (Fig. 1C, D). The megasporocyte (P. viviparum) or megasporocytes (P. bistortoides) undergo meiosis (Figs 1E and 2B) and each forms a linear tetrad (Fig. 2B). The chalazal-most spore of each tetrad becomes the functional megaspore while the remaining three spores degenerate (Fig. 2C, D). In P. bistortoides there may be several functional megaspores per ovule, each the product of a separate meiotic event (Fig. 2C). A hypostase begins to differentiate at about the time of spore formation (Fig. 2C, D). Diggle et al. Ð Sexual Reproduction in Polygonum 149 F I G . 3. Mature ovules of P. bistortoides (A and B) and P. viviparum (C). Part B shows the section adjacent to that in part A showing the position of the fusion nucleus (arrow) relative to the egg. C, Arrow indicates position of the fusion nucleus. E, Egg; ii, inner integuments; N, nucellus; oi, outer integuments; S, synergids. Bars = 50 mm. At, or just prior to meiosis of the megasporocyte(s), the outer integument of the ovule is initiated (Figs 1E and 2B). As megagametophyte development begins, the integuments elongate and enclose the nucellus. The micropylar region of the inner integument expands, becoming several cell layers thick, and forms the micropyle. The outer integument remains two cell layers thick throughout development and does not contribute to the micropyle. One (P. viviparum) to several (P. bistortoides) gametophytes begin to develop within the nucellus. During this time, the gametophytes elongate only slightly. Nucellar elongation is primarily in the chalazal region; there are no further cell divisions in the parietal layers of the apical region of the nucellus, and the existing layer may be crushed. At the completion of mitosis to yield eight nuclei in seven cells, the female gametophyte elongates dramatically. The chalazal portion of the mature gametophyte is `wedge' shaped, appearing very narrow in one dimension, and ¯attened in the perpendicular plane. No ovules of either species were observed to contain more than one mature gametophyte. The mature ovules of both species are orthotropic and crassinucellate. The polar nuclei of the female gametophyte usually fuse prior to fertilization so that the mature gametophyte comprises seven nuclei in seven cells (Fig. 3A±C). The two synergids are densely cytoplasmic and each has a distinct ®liform apparatus. The egg cell is vacuolate and the large nucleus is located in the chalazal end of the cell (Figs 3A, C). The fusion nucleus, formed from the two polar nuclei, is located in the micropylar end of the gametophyte, either adjacent to the egg or near the wall of the central cell (Fig. 3B, C). The central cell is large and vacuolate. The antipodal cells are much smaller than the other cells of the gametophyte and typically persist beyond anthesis. The hypostase of mature ovules is pronounced (Fig. 3C) and the blue-green staining with toluidine blue O suggests that the cell walls contain lignin. 150 Diggle et al. Ð Sexual Reproduction in Polygonum TA B L E 1. Numbers and percentages of total parentheses) of mature ovules of differing classes. Ovule type (in P. bistortoides P. viviparum 14 (35´9) 16 (41) 30 (76´9) 9 (23´1) 39 22 (52´4) 9 (21´4) 31 (73´8) 11 (26´2) 42 Unfertilized Fertilized (with zygote or embryo) Total functional Aborted Total ovules Development of abortive ovules Some ovules of both species fail to complete development. The relative frequency of such aborted development can be inferred from analysis of mature ovules. If those ovules that contain a mature female gametophyte and those containing a zygote or embryo are classi®ed as `functional', then 30 of 39 (76´9 %) mature P. bistortoides ovules were apparently functional, whereas nine (23´1 %) contained obviously malformed gametophytes (Table 1). Similarly, 31 of 42 (73´8 %) mature P. viviparum ovules appeared functional and 11 (26´2 %) were malformed. The frequency of functional ovules did not differ signi®cantly between the two species (c2 = 0´226, P > 0´1). (Clearly, the ovule becomes an immature seed upon fertilization, however, the term `ovule' is retained here for simplicity.) Developmental analyses show that similar types of abnormalities occur in both species and that cessation of ovule development is not stage-speci®c. Some aborted ovules of each species appear to be at the megasporocyte or megaspore stage, i.e. the nucellus is small (Fig. 4B) or has not yet been enclosed by the two integuments (Fig. 4A), yet there is no evidence of a megasporocyte or spore (e.g. compare Fig. 4A with Fig. 2A, C). Development of ovules can also cease at later stages (Fig. 4C±F). In some, the nucellus had begun to elongate but did not contain evidence of a female gametophyte. In other ovules, some, but not all, cells of a mature female gametophyte are present but the nucellus had not elongated to mature dimensions (Fig. 4C, D). In still others, the integuments and nucellus are indistinguishable from those of ovules containing a normal female gametophyte except that the nucellus is solid tissue and the central area is occupied by collapsed cells (Fig. 4E, F). It appears that a female gametophyte began to develop in these ovules and then collapsed. Post-fertilization ovule development Although the frequency of apparently functional ovules did not differ between the species, a signi®cantly greater proportion of gametophytes of P. bistortoides had been fertilized (Table 1). Sixteen of the 30 (53´3 %) apparently functional ovules of P. bistortoides contained zygotes or embryos compared with nine of 31 (29 %) ovules of P. viviparum (c2 = 7´353, P < 0´01). Embryo development of the two species was not studied in detail. Ovaries that contained zygotes and embryos were collected from ¯owers at anthesis at the same time as those containing mature female gametophytes. Presumably, fertilization and the initiation of embryo development takes place very rapidly following anthesis. The embryos were in either the ®lamentous or globular stage and were surrounded by free nuclear endosperm. Development of one embryo of P. viviparum had progressed to the initiation of cotyledons and the endosperm had cellularized. Mature embryos were not observed in collected material of either species. Pollen viability Average pollen stainability for P. viviparum in year 1 was 20´6 % and ranged from 0± 75 %. In approx. half (54 %) of the individuals, less than 20 % of pollen grains stained positively with FCR, and stainability was greater than 70 % in only two individuals (Fig. 5A). In year 2, average stainability for P. viviparum pollen was 17´4 % and ranged from 0´66±43 %. Stainability was less than 20 % in the majority of individuals (65 %) (Fig. 5B). Stainability of P. viviparum pollen was not signi®cantly different between years (Mann±Whitney U = 719; P = 0´5361). Average pollen stainability for P. bistortoides in year 2 was 56´6 % with a range of 13±83 % (Fig. 5C). Percent stainability differed signi®cantly between the species in 1993 (t = 11´9, P < 0´0001). D I SC U S S IO N Lack of viable seed production in P. viviparum has no single developmental explanation. Defects occur in each of the processes and structures associated with sexual reproduction studied, yet these processes and structures also appear to function normally in at least some ¯owers or individuals. Malformed ovules are common in P. viviparum; however, comparison with P. bistortoides shows that these abnormalities do not contribute to differences in seed production. The virtual absence of sexual reproduction in P. viviparum appears to be due largely to a low rate of fertilization and to embryo/fruit abortion. Pre-fertilization development Beginning with the studies of Strasburger (1879), the origin and development of the female gametophyte in members of the Polygonaceae have become classic examples of `normal' processes (Degeon, 1918). Development of the female gametophytes of P. bistortoides and of P. viviparum is similar and conforms to reports of other species of Polygonum and close relatives (summarized in Davis, 1966; also Stevens, 1912; Degeon, 1918; Schnarf, 1931; Mahony, 1935). Seemingly unusual features such as multiple megasporocytes and the conspicuous nucellar beak observed in both P. viviparum and P. bistortoides are common among other species of Polygonum but are not ubiquitous (Davis, 1966). Interestingly, developmental abnormalities of the ovule and female gametophyte are frequently observed among the species of Polygonum that Diggle et al. Ð Sexual Reproduction in Polygonum 151 F I G . 4. Abnormal ovules of P. bistortoides (A, C and E) and P. viviparum (B, D and F). A and B, Ovule with both outer and inner integuments but no evidence of megasporocyte or megaspore formation. Compare with Fig. 2. Bars = 25 mm. C and D, Ovules appear nearly mature in anatomy yet have collapsed (A) or are incomplete (B) gametophytes. Part D shows a small gametophyte with synergids and an egg cell. Bars = 25 mm. E, F, Mature ovules with solid nucellus and collapsed gametophytes. The ovules are similar in size to those containing normal female gametophytes. The collapsed cells in the centre of the nucellus indicate that a gametophyte began, but did not complete, development. Bars = 50 mm. G, Gametophyte; ii, inner integument; N, nucellus; oi, outer integument. 152 Diggle et al. Ð Sexual Reproduction in Polygonum motivated by the absence of seed set in this species. Edman (1929) and Schnarf (1931) found that irregularities in the development of female gametophytes were common and that degeneration could occur at any time following meiosis. Our results show that in addition pre-meiotic failure can occur. Engell (1973) did not note abnormalities, but was unable to examine mature ovules and questioned whether P. viviparum was capable of sexual reproduction. While previous investigators have examined some aspects of female gametophyte development in P. viviparum in the context of low seed set, this study is the ®rst to include an analysis of a `control' taxon. Comparison of the development of P. viviparum ovules with that of P. bistortoides, a sympatric congener with plentiful fruit set, yields the unexpected conclusion that, although developmental irregularities are common in ovules of P. viviparum, they are probably not responsible for the extremely low fruit production. Malformed ovules occur with the same frequency in P. viviparum and P. bistortoides and ovule development appears to abort at the same range of stages in the two species. Clearly, the dramatic differences in fruit production between the two species are not attributable to abnormalities of pre-fertilization ovule development in P. viviparum. While the frequency of apparently functional ovules is equivalent in the two species, pollen viability differs signi®cantly. Average pollen viability (as assessed by the FCR reaction) is far less in P. viviparum than in P. bistortoides, and in both years a large proportion of ¯owers had no viable pollen. Engell (1978) also found a high frequency of small pollen grains in ¯owers of P. viviparum collected from the Faroe Islands and suggested that these were non-functional. Thus, low pollen viability is also characteristic of northern European populations. Fertilization F I G . 5. Pollen viability as assessed by the FCR reaction. have been studied and are not associated with low fruit production. There are no previous reports of ovule and female gametophyte development for Polygonum bistortoides. In contrast, there are least three published accounts of some aspects of reproductive development in P. viviparum, each Pre-fertilization ovule development of the two species is nearly identical and apparently functional mature female gametophytes occur with equal frequency, yet zygotes and embryos were observed in only 29 % of functional ovules of P. viviparum compared with 53 % in P. bistortoides. Assuming that these are the result of fertilization (i.e. not agamospermy), then the rate of fertilization is signi®cantly lower in P. viviparum than in P. bistortoides. The difference in fertilization rate between the two species may be attributable to the large differences in pollen viability. If pollen is not available in excess, then the probability of fertilization occurring should be proportional to the frequency of viable pollen grains among potential donors. Fertilization of P. viviparum ovules also may be limited by pollinator service but pollen removal and deposition rates were not examined. A third potential explanation for differences in fertilization is self-incompatibility. Because of the prevalence of asexual reproduction in P. viviparum, many potential pollen donors could be genetically identical to the recipient (e.g. Weis and Hermanutz, 1993; Tangmitcharoen and Owens, 1997; NegroÂn-Ortiz, 1998). If the species is self-incompatible, these pollinations would not lead to successful Diggle et al. Ð Sexual Reproduction in Polygonum fertilization. Two facts argue against this explanation: (1) although the compatibility system of P. viviparum is unknown, this species is polyploid and polyploidy tends to disrupt self-incompatibility (de Nettancourt, 1977; Richards, 1997; Miller and Venable, 2000); and (2) a genetic analysis of the study population found relatively high levels of genotypic diversity (Diggle et al., 1997), therefore, even if the species is self-incompatible, compatible genotypes should be available within populations. Thus, low pollen viability or limited pollination are more likely explanations of the differences in fertilization between the two species. Although the frequency of ovules with zygotes or embryos is lower in P. viviparum than in P. bistortoides, the observed fertilization rate does not explain the apparent absence of fruit production. Embryo development was initiated in 29 % of ovules of P. viviparum and ¯ower number per in¯orescence at the study site ranged from 0 (some in¯orescences bear only bulbils) to 65, with a mean of 16 (K. Stitt, unpubl. res.). If all fertilized ovules matured into seeds, there should have been a detectable number of fruit at the ®eld site. Post-fertilization development Although 29 % of P. viviparum ovules contained zygotes or embryos, we observed neither a mature embryo in sectioned material nor a mature fruit in the ®eld; all ¯owers abscised from in¯orescences within a few days of anthesis. Clearly, most fertilized ovules abort after initiation of embryo development. Embryo/seed abortion followed by abscission must occur rapidly because we did not observe any apparently malformed (dying) embryos or endosperms in sectioned material. Thus, in addition to a lower rate of fertilization compared with P. bistortoides, abortion of new sporophytes also must be extremely common in P. viviparum. Abortion of developing seeds and fruits is quite common among angiosperms (reviewed in Stephenson, 1981; Lee, 1988; Sedgeley and Griffen, 1989; Diggle, 1995). Failure of post-fertilization development has been ascribed to a variety of factors including competition among seeds or fruits for nutrients (Stephenson, 1981; Lee, 1988; Diggle, 1995 and references therein; Shuraki and Sedgley, 1996), maternal selection among embryos of varying genetic quality (reviewed in Willson and Burley, 1983; Bawa and Webb, 1984; Guth and Weller, 1986; Briggs et al., 1987; Marshall and Folsom, 1991; Akhalkatsi et al., 1999), late acting selfincompatibility (Seavery and Bawa, 1986), and genetic load or other genetic abnormalities (Brink and Cooper, 1940, 1941, 1947; Cooper and Brink, 1940; Weins, 1984, 1987; Charlesworth and Charlesworth, 1987; Charlesworth, 1989; Andersson, 1993). Competition for nutrients and maternal selection among embryos implies that there are some `winners', i.e. although abortion occurs some fruit should mature on each in¯orescence or individual. This is clearly not the case for P. viviparum. Late acting self-incompatibility also is not likely to occur in P. viviparum for the reasons discussed above for pre-fertilization self-incompatibility (see discus- 153 sion under `fertilization'). Given that pollen development is affected so drastically in P. viviparum, and that fruit production is uniformly negligible among individuals, among years and among sites, genetic abnormalities are a likely cause of embryo abortion. Whereas P. bistortoides is diploid, P. viviparum is reported to be an octoploid (2n = 96, x = 12; LoÈve and LoÈve, 1948, 1974, 1975; Wcislo, 1967; Engell, 1973; LoÈve, 1988). Full or partial sterility is not uncommon among polyploids and is often attributed to irregular meiosis (e.g. Stebbins, 1971; Richards, 1997 and references therein). Meiotic aberrations would result in low pollen viability as observed in P. viviparum and could also explain embryo abortions. Even when gametes or gametophytes appear functional, they may have an unbalanced chromosome content and fertilization would produce zygotes that ultimately abort. The association between polyploidy and meiotic irregularity, however, is not well established (P. Soltis, pers. comm.) and many polyploids have normal chromosome pairing at meiosis (e.g. Grant, 1971; Law et al., 1983). Further examination of meiosis in P. viviparum is warranted. Low pollen viability and embryo abortion also may be due to accumulation of mutations in these very long lived clonal organisms (Muller's ratchet; Muller, 1964; Gabriel et al., 1993; Andersson and Hughes, 1996; Eckert et al., 1999). Many mutations have been identi®ed in crop and model species that speci®cally affect meiosis (e.g. Kaul and Murthy, 1985). In addition, other mutations affect pollen viability (e.g. Kennell and Horner, 1985; Kaul, 1988; Benavente et al., 1989; Chaudhury, 1993), ovule development (Reiser and Fischer, 1993; Christensen et al., 1998; Schneitz, 1999; Yang and Sundareasan, 2000) or embryo development (reviewed in Mayer et al., 1991; Uwer et al., 1998; Albert et al., 1999; Heckel et al., 1999). Such mutations can be perpetuated by vegetative reproduction, and could accumulate over the lifespan of a genet, particularly if the mutations have no negative pleiotropic effects on survival (Eckert et al., 1999). In addition, embryo abortion could be the result of genetic load if the new sporophytes are products of self-fertilization (Weins, 1984, 1987; Klekowski, 1988). The absence of any clear developmental correlate of embryo abortion is not unusual. There has been considerable developmental analysis of seed and fruit abortion, particularly in economically important species (reviewed in Brink and Cooper, 1940, 1941; Sedgeley and Griffen, 1989; Fernando and Cass, 1997). Most commonly, abortion is not stage-speci®c and no visible evidence of the cause of abortion can be identi®ed (e.g. Persica: Sedgeley, 1980; Pistacia: Shuraki and Sedgeley, 1996; Butomus: Fernando and Cass, 1997; Melilotus: Akhalkatsi et al., 1999; many tree crops including cherry, citrus, teak, mango and plum: Stephenson, 1981). In other cases, clear developmental abnormalities precede abortion. These include proliferation or death of the endosperm (Medicago: Cooper et al., 1937; Oxalis: Guth and Weller, 1986) proliferation of integuments (Asclepias: Moore, 1946), or pronounced development of the hypostase (Pisum: 154 Diggle et al. Ð Sexual Reproduction in Polygonum Briggs et al., 1987). Although high rates of fruit abortion occur regularly in all of these species, the ultimate cause of abortion was rarely identi®ed conclusively. Why is fruit production so low in P. viviparum? Although irregular ovule development is common in P. viviparum, it is no more frequent in this species than in the sympatric P. bistortoides. In fact, multiple developmental abnormalities are reported to be common throughout the genus Polygonum and may be normal for the genus (an odd situation for the `type' genus for female gametophyte development!). Abortive ovule development does decrease maximum seed production in P. viviparum, but is not responsible for its absence. In contrast to the similarity of ovule development in the two species, the incidence of abnormal pollen is far greater in P. viviparum than in P. bistortoides and may be associated with differences in fertilization rates. Even low fertilization rates, however, cannot account for the rarity of fruit production. Abortion of young sporophytes must be the ®nal phase of reproductive development that reduces fruit maturation to undetectable levels. Although fruit set in P. viviparum has not been observed in the study population, it is likely that it does occur occasionally. Genotypic diversity in the study populations is equivalent to that of clonal species known to have regular fruit/seed maturation (Diggle et al., 1997; see also Bauert, 1993, 1996 for European populations). The most likely explanation of the existence of multiple genotypes in this population is that viable seeds are produced, albeit rarely. Theoretical models suggest that a very low rate of seedling input into established populations is suf®cient to maintain genetic diversity (Soane and Watkinson, 1979; Watkinson and Powell, 1993). The causes of low fruit production in P. viviparum are not absolute, and occasionally two normal gametes may unite to form a viable new sporophyte. 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