Biological Ljournal ofihe Linnean Sociely (1988), 34: 81-92. With 4 figures Temporal patterns of reproduction and outcrossing in weedy populations of Echium plantagineum J. J. BURDON, A. M. JAROSZ AND A. H. D. BROWN CSIRO Diuision oJ Plant Industry, G.P.O. Box 1600, Canberra, A.C. T. 2601, Australia Received 6 Julj, 1987, accepted,for publication 26 November 1987 Single and multilocus estimates of outcrossing rates were made in three populations of Echium plantagineum. Despite spatial separation, variations in population size (though not density) and reproductive output, no statistically significant difference was detected in outcrossing rates between the populations. Similarly, only slight differences in outcrossing rates were detected within populations when estimates were based on seed collected from flowers open at different times in the flowering season. The earliest flowers tended to have a lower estimated rate of outcrossing. In all cases, multilocus outcrossing rates were high, ranging from 0.81 to 1.05. In all three populations flower production extended over a period of more than 2 months but thr majority of seed was produced by flowers that opened during the first third of the flowering season. This was largely caused by a high rate of flower production during the early part of the season and not changes in the number of seeds set per flower. Thc average number of seeds produced per flower varied both between individuals within populations, and between the different populations, but neither of these differences were significant. Controlled pollination of flowers with self or outcross pollen, applied either singly or together, failed to detect any differences in the likelihood that either type of pollen would give rise to fertile seeds. K E Y WORDS: - Echium - outcrossing estimates - reproductive biology - temporal variation CONTENTS Introduction . . . . . Material and methods . . . Results.. . . . . Reproductive performance. Outcrossing rates . . . Controlled pollination . . Discussion. . . . . . Acknowledgements . . . Referrncrs. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 82 84 84 86 87 87 91 91 INTRODUCTION Estimates of outcrossing rates have been made for a wide range of plant species (see Schemske & Lande, 1985, for review). Somewhat less information is available concerning intra-specific variation in this key component of the 0024-4066/88/05008 1 + 12 $03.00/0 81 0 1988 The Linnean Socicty of London 82 J . J . BURDON E T A L . breeding system. However, in some species little variation has been observed between outcrossing rates in different populations while, in others, extreme variability has been recorded (Brown & Albrecht, 1980). Thus three studies of Avena barbata (Marshall & Allard, 1970; Allard, Babbel, Clegg & Kahler, 1972; Hamrick & Allard, 1972) and two of Pinus ponderosa (Mitton, Linhart, Hamrick & Beckman, 1977; Mitton, Linhart, Davies & Sturgeon, 1981) found relatively little intra-specific variation in outcrossing rates. In contrast, Schoen ( 1982) found outcrossing rates that ranged from 0.15 to 1.06 among nine populations of Gilia achilleiflia. Temporal variation in outcrossing within a species has usually been studied between different years (Moran & Brown, 1980; Hamrick, 1982; Brown, Barrett & Moran, 1985; Cheliak, Morgan, Dancik, Strobeck & Yeh, 1984; Cheliak, Dancik, Morgan, Yeh & Strobeck, 1985). Few studies have tested the uniformity of outcrossing rates in natural populations within a single season. yariation could arise when different individuals or genotypes with different propensity to outcross, flowered for restricted periods within the season. Alternatively, temporal variation in pollinator bchaviour and activity may result in different levels of outcrossing. Inter- and intra-populational differences in outcrossing rates of the magnitude observed by Schoen (1982) and others (for example, Harding, Mankinen & Elliott, 1974; Jain, 1978; Rick, Fobes & Holle, 1978) are likely to have a substantial effect on both the gcnetic structure of different populations of such species and on the speed at which they may respond to changes in selective pressures. The present study examined outcrossing rates in three populations or Echium ~ ~ a n ~ a g i nL.,e uan ~ annual weedy species of Mediterranean origin that has spread extensively through southern Australia. T h e aim of this work was to test for variation in outcrossing rates within a single generation. T o determine the effect of any temporal differences in outcrossing on the overall breeding system, the reproductive biology and, in particular, the number of seed produced by each cohort of flowers, was monitored simultaneously. While previous work has shown populations of E. plantagineum to be highly polymorphic (Brown & Burdon, 1983; Burdon & Brown, 1986), relatively little is known about its reproductive biology and, in particular, the level and seasonal pattern of outcrossing it exhibits. The flowers of this species are protandrous (Piggin, 1982). However, the very rapid rate of floral development may limit the degree to which protandry can prevent selfing particularly at peak season (Corbet & Delfosse, 1984; personal observation). In addition, protandry does not preclude crossing to other open flowers on the same cyme or other cymes on the same individual. MATERIAL AND MKI'HODS Reproductive biology of populations of Echium plantagineum Three populations of E. planlagineurn were monitored during this study. In each, a number of plants was selected at random and their reproductive performance followed throughout a n entire flowering season. Early in the season the main flowering cyme of each plant was tagged and a t this and each subsequent visit (approximately every 4 days), the following characters were recorded: (i) the number of open flowers on each tagged cyme; (ii) the cumulative number offlowers on those cymes; and (iii) the total number ofopen OU’ICROSSING IN E PLANTAGINEIJM 83 flowers on tagged plants. In addition, the density of E . plantaginturn plants in each population was determined in eight randomly placed 0.25 m 2 quadrats. In each quadrat, the percentage of plants flowering and the total number of open flowers that were present were recorded. Later in the season as seed began to mature, the number of seeds produced per flower (maximum of 4) on tagged cymes was recorded. Ripe seed from each of these flowers was collected separately and used later in estimating outcrossing rates. The number of plants tagged and the average number of open or finished flowers on marked cymes at the time of initial tagging varied between the three populations (Table 1 ) . I n population 1, the presence of a noticeable number of later flowering individuals allowed a second subset of the population to be monitored when it started flowering approximately 19 days after the main sample. Mating gutem estimation I n order to assess variation in outcrossing rates in B. plantagineum through the course of a single flowering season, batches of seed from discrete groups of five flowers that opened within seven days of each other were analysed. As a result, the flowers within each group are likely to have shared the same pollinators. I n populations 1 and 2, these seed sets were taken at three times representative of early, peak and late season flowering, respectively. Similarly timed early and peak season analyses were made for population 3. However, there was an abrupt end to flowering in that population, which prevented the determination of a late season estimate (Fig. 1 ) . The sample size per plant (10 or 15) was usually sufficient to ascertain the maternal genotype (Brown, Matheson & Eldridge, 1975). I n ambiguous cases a further sample of progeny was tested. Data for the estimation of outcrossing rates were obtained by starch-gel electrophoresis, of enzyme extracts of germinating seeds. Extracts prepared by grinding germinating seeds in a few drops of buffer solution (0.05 M phosphate, pH 7.0, containing 1.5 mg ml-’ dithiothreitol) were subjected to 5 h electrophoresis, in a buffer system consisting of 0.4 M sodium citrate pH 8.0 (electrode buffer) and 5.0 mM histidine p H 8.0 (gel buffer). Following electrophoresis, gels were cut horizontally into three slices and the anodal portion assayed for the following enzymes: aconitate hydratase (ACO; EC 4.2.1.3), glucophosphate isomerase (PGI; EC 5.3.1.9), phosphoglucomutase (PGM; EC 2.7.5.1) and shikimate dehydrogenase (SDH; EC 1.1.1.25). Enzyme assays were those cited in Collins, Rossiter, Haynes, Brown & Marshall (1984). TABLE 1. The number of individuals studied and their reproductive status in the three populations of Echium planlagineum Population 1. Black Mountain Peninsula, Canberra Early Cohort Late Cohort 2. Mount Mugga, North, Canbrrra 3. Mount Mugga, South, Canberra No. of plants Average no. of flowrrs/ tagged cyme at tagging 24 13 20 19 0.7 0.8 1.7 3.9 Zero time 11 October 30 October 21 October 28 October 1985 1985 1985 1985 84 J. J. BUKDON E T AI. Allele and loci designations were the same as used previously (Brown & Burdon, 1983). Estimates of outcrossing rates were made using the procedure described by Brown el al. (1975) for single locus data. Genotypic classifications were converted to a diallelic basis by combining all but the commonest allele into a single class. Outcrossing estimates were also made on a multilocus basis using the procedure of Green, Brown & Oram (1980). The model assumes that mating results either from self-fertilization with fixed probability (1 - t ) , or from outcrossing ( 1 ) defined as fertilization with a pollen grain chosen at random from the population (Brown et al., 1985). T o avoid the bias and complexities arising from related sources of outcrossing pollen within a progeny array (Schoen & Clegg, 1986), only one seed per fruit was tested and sufficient fruit per maternal parent were sampled to determine each maternal genotype. Controlled pollination Because the estimates of the outcrossing rate were high, the relative success of self- and outcrossing pollination events in producing seed was determined through controlled, glasshouse, pollination of five pairs of E. plantagineum plants. Individual plants were combined in pairs in such a way as to ensure that the paternity of all offspring could be determined by starch-gel electrophoresis unambiguously. O n each plant, groups of three consecutive flowers were, respectively, selfed, both selfed and outcrossed, and outcrossed only. This procedure was repeated four times although the order of crossing varied between crossing cycles. Self and outcrossing of the same flower was achieved by touching dehiscent anthers from each member of the pair of plants to one of the two arms of the bifid receptive stigma. The paternity of any resultant seed was determined by electrophoretic analysis of variation at the Pgil locus (Burdon & Brown, 1986). RESULTS Reproductive perfrmance All three populations of E. plantagineum showed a generally similar pattern of flowering behaviour (Fig. 1). In the most intensively studied population (no. l ) , the proportion of plants flowering rose from 5% at the initial census to 100(yo over a 30-day period. All three populations were in full flower by 12 November 1985. Simultaneously the total number of open flowers per unit area in each population rose rapidly. However, in all populations this reached a peak before all individuals had begun to flower. Thereafter the number of open flowers declined (Fig. 1). T h e rate of decline differed between the populations, being most precipitous in population 3 (situated on shallow soil) and least in population 2 (situated in a seepage area). A late burst of flowering occurred in populations 1 and 3 one week after 25 mm of rain. The overall timing of flower production on tagged individuals in each of the three populations reflected that of the population as a whole. A sharp peak in the number of flowers occurring on tagged stems per 5-day period was followed by a decline broken only by a short late burst. This uneven production of flowers was reflected in the skewed distribution of the timing of seed production OUTCKOSSING IN E. PLANTAGINEUM 85 100 50 L 01 3 0 0 - - 0 + U W c 100 $ c VI mz c u + u 50 f c ln c U - a ‘c 0 3 = t % c 100 L “1 m a ! Population 3 40 50 \ 0 , ‘0 n ” i\. \ Eorly Mid H F--l I1 II 11 II II I1 I 1 10 20 30 40 50 60 70 II II 80 90 I1 3 100 -Oc t ----I -N ov --+---Dee-I-Jon-I D a y s f r o m s t a r t of monitoring Figure 1. Temporal changes in the reproductive behaviour of three populations of Echzum plantagzneum 0 , Total number of open flowers per Inz; 0, percentage of plants that have begun to flower. Horizontal bars show the timing of the outcross estimates in each population. (Fig. 2). I n all three populations the majority of seed was produced by flowers that opened during the first third of the reproductive period (60, 52, 50 and 60% of all seed produced in populations I,, I , , I1 and 111, respectively). This was due mainly to high early season flower production and much less to temporal changes in the number of seeds produced per flower (Fig. 3 ) . While there was a clear decline in the number of seeds per fruit with time in population 3 and the suggestion of a similar trend in population 1, in population 2 the fecundity of flowers was unrelated to the time of season. T h e average number of seeds produced per flower varied both between individuals within populations and between the three populations (Fig. 4 ) . Although neither of these differences was significant, the average seed production per flower was 25% greater in population 1 than population 3 (2.05 versus 1.52) while on occasion differences between individuals in the same population exceeded 100yo. J. J . BUKDON 87 A L . 86 3001 I I I Population I YJ n W Population 2 yl c 0 i W n 5 z ,oat I Population 3 I I i-l 5 10 15 25 35 45 55 65 75 Ti m e of f l o w e r i n g ( d a y s f r o m Il/10/86) Figure 2 . Temporal changes in seed production in threc populations of Echium planta,@nt~n. ‘lhc shaded area of‘the graph of population 1 rcpresents seed production by the late flowering cohort. Outcrossing rates Table 2 presents the adult major allele frequency and Wright’s fixation index values (F; calculated on a diallelic basis) for adult plants and seed for each locus and time period (seed only). A few of the individual locus F values differed significantly from zero, but they showed no systematic pattern. However, there was a consistent change in the value of F between that of the adult plants and those of their offspring. In all but one case adult F values were markedly more negative (mean F = - 0.22) than those of the seed (mean F = 0.02). Single locus estimates of the rate of outcrossing occurring in the three populations of E. plantagineum are given in Table 3. (At sites 2 and 3, the Acol locus was monomorphic which precluded a n estimate of outcrosring for that locus.) The standard errors for the single-locus estimates are large, and indicate that most differences between the estimates are not significant. However the early estimate in population 1 based on the Pgi locus was significantly less than t = 1.O. I n population 2, the outcrossing estimates also based on Pgz significantly increased with time. Thus the only apparent departure from random mating occurred in the earliest cohort, when a smaller fraction of the population was flowering. The multilocus outcrossing estimates (Table 4) suggested a similar pattern in that only the earliest estimate for population 1 showed statistically significant inbreeding. The overall estimates for population 2 were consistently higher than population 1, although not significantly so. + OUTCROSSING IN E. P L A N T A G I N E U M I I I I 20 40 60 87 I Time (days) Figure 3. ‘l‘cmporal patterns of flower fecundity in three populations of Echium plantqineum. I n all cases values were calculated only if more than half of the tagged plants flowered at the given time; 0, the late cohort of population 1. Controlled pollination When pollination of stigmas was effected with only self or non-self pollen, 68 and 83 seeds were produced respectively. Of the 79 seeds produced as a result of simultaneous self and outcrossing of flowers, 58(y0 were the result of selfing events and 42% the result of outcrossing events (Table 5). A x 2 analysis found no significant difference (x‘ = 1.49; 0.25 > P > 0.10) in the success rate of selfor outcross pollination events, or that neither type of pollen had a significantly greater chance of producing viable seed when applied simultaneously to the same stigma (2‘ = 1.53; 0.25 > P > 0.10). DISCUSSION The reproductive performance of E. plantagineum varied markedly from site to site and time to time during the course of the flowering season. This temporal variation in fruiting within a season emphasizes the need to link estimates of outcrossing of specific cohorts with their contribution to the seed bank. Thus high selfing rates very early and late in the season may have a trivial effect if these cohorts account for only a tiny fraction of the total seed output. However, in the present study, estimates of outcrossing within and among the three populations of E. plantagineum were surprisingly similar. I n part, this result is due J. J. BURDON E 7 A L . 88 0 0.99 1-99 2.99 0 0.99 1.99 2.99 Average number s e e d s per f l o w e r Figure 4. The season-long average number of seeds produced per flower (maximum possible = 4) on marked plants in three populations of Echiumplantagineum. A & B are the distribution patterns for the carly and late flowering cohorts, respectively, of population 1; C, population 2; D, population 3. Arrows refer to the mean number of seeds produced per flower for the population as a whole. to the large sampling errors of outcrossing estimates in highly outcrossing populations. The standard errors of Table 4 indicate that differences in outcrossing rates between estimation times of about 0.2 would have been detectable in population 1, and of about 0.3 in population 2. TABLE 2. Adult major allele frequency a n d Wright’s fixation index values (F; calculated on a diallelic basis) for each locus a n d time period of each a d u l t a n d offspring population of Echium plantagineum Population Locus ____________ I (carly) Acol AcoP Pgil Sdh I (late) Acol Aco2 Pgil Sdh 2 3 Offspring (seed) F Adult major allele frequency Adult F 0.60 0.60 0.48 0.48 -0.13 -0.31 -0.25 -0.42* 0.65 0.54 0.65 0.58 -0.19 -0.24 -0.19 -0.10 -Early Mid Late f0.08 +0.14 -0.01 fO.01 -0.04 +0.23* -0.05 0.00 f0.01 +0.01 f0.07 +0.13 +0.19 +0.12 -0.05 f0.05 +0.05 +0.07 f0.08 -0.06 -0.13 -0.30* c -~ +0.03 +0.01 +0.05 +0.08 f0.05 +0.10 -0.22 -0.08 -0.04 +0.07 I .oo t -0.01 -0.05 t - 0.02 Pxil Sdh 0.48 0.55 0.70 fO.10 -0.41* -0.43* +0.05 -0.06 +0.06 -0.18 +0.12 0.00 -0.16 -0.02 +0.02 -0.13 f0.02 Aco 1 Aco2 Pgil Sdh 1 .oo 0.68 0.40 0.60 t -0.01 t - 0.02 -0.25 +0.14 t -0.03 -0.25 f0.07 +0.08 -0.01 Acol Aco2 -0.05 -0.05 -0.01 fO.O1 -0.03 -0.02 t t *Significantly different from zero, P < 0.05. TI: values could not be calculated as only one (homozygous) genotype was encountered. :No samples taken. -0.01 OUTCROSSING IN E . PLAXTAGINEUM 89 TABLE 3. Single locus estimates of outcrossing rates ( t ) in three populations of Echium plantagineum Population (total no. of progeny tested) Outcrossing estimate ( ~ s . E . ) Locus 1 . (345) Acol Aco2 (Early cohort) Pgil Early? Sdh I . (180) Acol Aco2 (Late cohort) Pgil 2. (271) Aco2 Sdh Pgil Sdh 3. (185) ACO2 Pgil Sdh Mid c Late 0.88 0.92 0.67 0.87 (0.13) (0.16) (0.14)* (0.17) 0.78 1.18 0.98 0.74 (0.13) (0.16) (0.15) (0.16) 0.82 1.09 0.80 1.27 (0.15) (0.16) (0.15) (0.18) 0.82 1.06 0.82 0.95 (0.08) (0.09) (0.09) (0.10) 1.05 1.01 1.11 0.95 (0.20) (0.20) (0.21) (0.24) 0.92 0.68 0.85 1.02 (0.21) (0.19) (0.19) (0.24) 1.28 0.62 1.32 1.04 (0.21) (0.21) (0.19) (0.26) 1.08 0.81 1.00 1.00 (0.12) (0.12) (0.12) (0.14) 1.03 (0.13) 0.67 (0.18) 0.98 (0.22) 1.00 (0.13) 0.80 (0.27) 0.90 (0.20) 1.26 (0.16j 1.40 (0.22) 0.95 (0.30) 1.07 (0.08) 0.97 (0.12) 0.95 (0.13) 0.94 (0.17) 1.01 (0.15) 1.44 (0.17) 0.69 (0.19) 1.22 (0.12) 0.97 (0.07) t 0.84 (0.13) 1.11 (0.10) 1.05 (0.12) t t *Significantly different from t = 1.0, P < 0.05. ?For interrelationship of the timing of outcrossing estimates within and between the different populations scc Fig. 1. $No late estimate was possible in population 3 due to a n abrupt end to the srason. The mean values of t (both single- and multilocus estimates) differed only marginally among the three populations despite marked differences in a number of factors that were expected to affect the pattern of pollinator behaviour. T h e number of open flowerslunit area although similar in all populations early in the season was noticeably higher in population 2 during the middle of the reproductive season. Population 1 was isolated (1 km from the nearest stand) while populations 2 and 3 were both part of a patchy distribution of E. plantagineum that spread over many hectares. Similarly, within individual populations, factors that might have been expected to affect outcrossing had no major effect. Such factors included, differences in the timing of outcrossing estimates (early, mid, late season) with its associated variation in the number of open flowers per unit area and likely variations in pollinator activity or the division of the host population into two TABLE 4. Multilocus cstimates of outcrossing rates (tm) in three populations of Echium plantagineum Multilocus outcrossing estimate ( + s . E . ) Population 1. Early cohort Late cohort 2. 3. Mid Late CS 0.85 (0.07)* 0.98 (0.12) 0.87 (0.07) 0.81 (0.10) 0.90 (0.08) 0.90 (0.13) 0.87 (0.04) 0.88 (0.07) 0.95 (0.11) 0.88 (0.09) 0.97 (0.10) 1.15 (0.12) 1.05 (0.12) 0.97 (0.06) 0.97 (0.07) Early t *Significantly different from t = 1 .O, P < 0.05. ?For interr~lationshipof thc timing of outcrossing estimates within and between the different populations see Fig. 1. $No late estimate was possible in population 3 due to a n abrupt end to the season. §Means arc calrulated on the whole data set/population. J. J. BURDON 87 A L . 90 'I'ABLE 5. 'I'hc succcss of sclf- and outcross pollination events in producing sccd in a series of controlled, glasshousc-based, pollinations of Echium llantagineum plants. Parentage of individual sccds from flowcis dustcd with both self and non-self pollen was determined by clcctrophoretic analysis (see text) Pollination treatment Plant 110. *A1 A3 B2 R4 c5 c7 D6 D10 E9 El2 'Iota1 no of seed of total possible Selfed Outcrossed Selfed/outcrossed 7 1 10 0 20 2 8 5 0 1l / l 5/4 112 15 2 3 68 14.2 1 7 13 7 11 6 19 14 83 17.3 1 /o 7/9 3/ I 4/3 3/3 7/8 4/2 46/33 9.6j6.9 *Plants with sanic prefix Icttrr werc used in intercrossing. different cohorts (population 1 ) . How much the protandrous nature of flower development in E. plantagirmm promotes outcrossing is unclear. T h e results from the controlled pollinations suggested that the high level of outcrossing was due to a very high frequency of inter-plant movements by pollinating insects, rather than due to any competitive inferiority of self pollen or any process of differential embryo abortion. The latter processes are commonly found in pollination experiments with mixtures of pollen (e.g. Glover & Barrett, 1986; Marshall & Ellstrand, 1986; Griffin, Moraii & Fripp, 1987). This result contrasts with that obtained by Stephenson (1982) in a study of the self-incompatible tree Catalpa rpeciosa. In that species selfed, outcrossed and non-pollinated flowers could be visually distinguished and Stephenson found a marked increase in the frequency of outcrossing (as opposed to unsuccessful selfing events) as the season progressed. The results presented here for E. plantagineum differ from other insectpollinated species in which outcrossing estimates have been shown to vary both spatially (e.g. Lupinus nanus, Harding el al., 1974; Giliu achilleijolia, Schoen, 1982), temporally ( c g . Eucalyptus delegatensis, Moran & Brown, 1980) and even in relation to the distribution of individual plants within a population (Ipomoea purpurea, Ennos & Clegg, 1982). Yet substantial departures from complete outcrossing can sometimes occur in E. planlagineum. A related study in 1984 obtained an estimate of outcrossing of t = 0.73+0.04 in a single population (Burdon & Brown, 1986). In the earlier study, single- and multilocus outcrossing estimates were made in a very low density stand of E. plantagineum ( < < l0jm') in which most individual plants were quite separate from their nearest neighbours. Such plants often have many flowering stems and each presents several open flowers simultaneously to visiting insects. I n such circumstances a marked level of geitonogamous selfing could occur and depress the estimates of outcrossing. OUTCROSSING IN E P L A N T A G I N E Z J M 91 In contrast, the high outcrossing estimates reported here may be reasonably attributed to the high density of E. plantagineum plants in the three populations (233, 167 and 465 plants r n p 2 in populations 1, 2 and 3, respectively). Certainly, most of the tagged individuals in populations 1 and 2 possessed more than one flowering cyme (mean values of 13.2, 9.2 and 9.0 in populations I,, 1 and 2, respectively) and carried sufficient open flowers, at least during the peak flowering period (mean values of 9.1, 5.3 and 5.8 in populations I,, I , and 2, respectively ( 14/11/85)), to make geitonogamous selfing possible. I n population 3 both these values were much lower (4.3 and 2.2 respectively). However, the relatively high density of plants and open flowers in all three populations ensured that all the flowering cymes of any one individual plant were intermingled with many flowers from entirely separate plants. It is postulated that as a result of this structure the chances of pollinators moving from flower to flower on the one plant were low and outcrossing rates are likely to be maximal. This argument apparently runs counter to that developed by Levin & Kerster ( 1969), who argued that the restricted seed movement and density-dependent pollinator behaviour that is typical of many plant populations should result in a higher frequency of mating between related plants in high density stands than in lower density ones. This in turn should be reflected in reduced rates of apparent outcrossing at high plant densities. Indeed, in a study of outcrossing in a number of populations of Helianthus annuus, Ellstrand, Torres & Levin (1978) obtained data that supported this view. Several features of weedy populations of E. plantagineum militate against such inverse relationships between outcrossing rate and plant density. First, the extremely high level of genetic variability in these populations ensures that a high level of all outcross events are observable. 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